. » . . v .‘.....\...‘,, .p, .u... “Hwy-nu. . _," - u ' . - , i ‘ . ‘ , . ' . .. ‘ / . ‘f‘ . ( ‘ ,w‘l ) 36504303 This is to certify that the thesis entitled THE USE OF RELIABILITY ANALYSIS FOR DETERMINING THE LIFE EXPECTANCY OF PREVENTIVE MAINTENANCE FIXES IN APSHALT SURFACED PAVEMENTS presented by JASON PAUL BAUSANO has been accepted towards fulfillment of the requirements for the MS. degree in CIVIL ENGINEERING " I ' Major Professor’s Signa‘tUlle I T (79464 ZNZOQ t/ / ’ Date MSU is an Affinnative Action/Equal Opportunity Institution PLACE IN RETURN BOX to remove this checkout from your record. To AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE 6/01 c:/CIRCIDateDue.p65-p.15 THE USE OF RELIABILITY ANALYSIS FOR DETERMINING THE LIFE EXPECTANCY OF PREVENTIVE MAINTENANCE FIXES IN ASPHALT SURFACED PAVEMENTS By Jason Paul Bausano A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Civil and Environmental Engineering 2003 ABSTRACT THE USE OF RELIABILITY ANALYSIS FOR DETERMINING THE LIFE EXPECTANCY 0F PREVETNIVE MAINTENANCE FIXES IN APSHALT SURFACED PAVEMENTS By Jason Paul Bausano The research in this thesis used a large data set of pavement performance parameters in the form of Distress Index (DI) and Ride Quality Index (RQI) to conduct a reliability-based analysis for the purpose of determining the life expectancy and evaluating the guidelines for preventive maintenance (PM) fixes. The model developed in this research is a probabilistic model that uses pavement performance parameters, (DI and RQI). Probability distributions were developed for the following fixes over time: Non-structural bituminous overlay, surface milling with a non- structural bituminous overlay, single chip seal, multiple course micro-surfacing, and bituminous crack seal. Reliability tables were then developed expressing the probability that a given PM treatment will not reach the performance threshold afier n years. These tables provide the pavement life expectancy for a given PM treatment at various reliability levels. A highway agency can then use these tables to select PM strategies based on the expected life of the fix. In addition, the PM guidelines (in terms of D1 and RQI) were evaluated using a series of two-sample t-tests as well as using the reliability approach. ACKNOWLEDGEMENTS First, I would like to extend my thanks and gratitude to Robert and Ellen Thompson for providing the fellowship at Michigan State University (MSU) so I could further my education and improve the research in the field of asphalt pavements. A special thanks goes to my advisor, Dr. Chatti, for his guidance and help during my research project at MSU and Michigan Technological University (MTU). I would also like to thank him for allowing me to attend MTU during the fall semester of 2002. I would also like to thank Dr. Baladi and Dr. Wolff for sitting on my master’s committee and providing me with support and guidance throughout my education. A special thanks also goes to Dr. Williams for taking on “one” more graduate student while I was at MTU, providing me with additional insight, and guidance for my research project, and sitting on my masters thesis committee. Finally, I extend a sincere thanks to my parents, family, and friends for their never ending support and encouragement throughout all my years of study. iii TABLE OF CONTENTS LIST OF TABLES .................................................................................. vii LIST OF FIGURES ................................................................................. ix CHAPTER 1 - INTRODUCTION ...................................................................................... 1 1.1 Problem Statement .............................................................................................. 1 1 .2 Maintenance ........................................................................................................ 2 1.2.1 Preventive Maintenance .............................................................................. 2 1.2.2 Corrective Maintenance .............................................................................. 3 1.2.3 Routine Maintenance .................................................................................. 3 1.3 Research Objective and Organization ................................................................. 4 1.3.1 Research Objective ..................................................................................... 4 1.3.2 The Proposed Model ................................................................................... 4 1 .3 .3 Organization ................................................................................................ 5 CHAPTER 2 - LITERATURE REVIEW ........................................................................... 7 2. 1 Introduction ......................................................................................................... 7 2.2 Facts about Preventive Maintenance .................................................................. 8 2.3 Asphalt Pavement Distresses .............................................................................. 9 2.4 Preventive Maintenance Treatments ................................................................. 10 2.5 Selecting Appropriate Treatment and Timing .................................................. 20 2.6 Performance Findings from Previous Studies ................................................... 26 2.6.1 Survival Modeling .................................................................................... 27 2.6.2 Regression Modeling ................................................................................ 29 2.6.3 Statistical Modeling .................................................................................. 31 2.6.4 Probabilistic Modeling-Markovian Chains ............................................... 32 2.6.5 Engineering Field Review of SPS-3 Projects ........................................... 33 2.6.6 Engineering Field Review of MDOT’S CPM Program ............................ 33 2.7 Conclusions ....................................................................................................... 34 CHAPTER 3 - THE MDOT PAVEMENT PERFORMANCE MEASURES .................. 36 3. 1 Introduction ....................................................................................................... 36 3.2 Surface Distress Data ........................................................................................ 36 3.3 Longitudinal Pavement Profile Data ................................................................. 38 3.4 Rut Depth .......................................................................................................... 39 3.5 Friction Data ..................................................................................................... 39 3.6 MDOT’s Definition of Life Extension ............................................................. 39 CHAPTER 4 - EXTRACTION AND DEVELOPMENT OF DATABASE .................... 41 4. 1 Introduction ....................................................................................................... 41 4.2 Extraction of Data ............................................................................................. 41 4.3 Development of Database ................................................................................. 43 4.4 Compilation of the Data .................................................................................... 45 iv CHAPTER 5 - RELIABILITY BASED MODEL AND ANALYSIS ............................. 46 5. 1 Introduction ....................................................................................................... 46 5.2 Reliability-Based Model ................................................................................... 47 5.3 Reliability Analysis ........................................................................................... 50 5.4 Two-Sample t-test for Significance .................................................................. 51 5.4.1 Pavement Condition Using Distress Index (DI) ....................................... 52 5.4.2 Pavement Condition Using Ride Quality Index (RQI) ............................. 53 CHAPTER 6 - RESULTS ................................................................................................. 55 6.1 Introduction ....................................................................................................... 55 6.2 Determination of Life Expectancy of the Various PM Fixes ........................... 55 6.2.1 Non-Structural Bituminous Overlay ......................................................... 57 6.2.2. Surface Milling with a Non-Structural Bituminous Overlay .................... 59 6.2.3. Single Chip Seal ........................................................................................ 60 6.2.4. Multiple Course Micro-Surfacing ............................................................. 62 6.2.5. Bituminous Crack Seal ............................................................................. 64 6.2.6. Overall Comparison .................................................................................. 66 6.3 Evaluation of the Guideline Values for the Treatment Types .......................... 70 6.3.1 Two-Sample t-test Approach .................................................................... 70 6.3.1.1 Non-Structural Bituminous Overlay ..................................................... 71 6.3.1.2 Surface Milling with a Non-Structural Bituminous Overlay ................ 72 6.3.1.3 Single Chip Seal .................................................................................... 72 6.3.1.4 Multiple Course Micro-Surfacing ......................................................... 72 6.3.1.5 Bituminous Crack Seal ......................................................................... 73 6.3.2. Reliability Approach ................................................................................. 76 6.3.2.1 Non-Structural Bituminous Overlay ..................................................... 76 6.3.2.2 Surface Milling with a Non-Structural Bituminous Overlay ................ 78 6.3.2.3 Single Chip Seal .................................................................................... 80 6.3.2.4 Multiple Course Micro-Surfacing ......................................................... 81 6.3.2.5 Bituminous Crack Seal ......................................................................... 83 6.4 Evaluation of Ride Quality Guidelines ............................................................. 86 6.4.1 Non-Structural Bituminous Overlay ......................................................... 87 6.4.2 Surface Milling with a Non-Structural Bituminous Overlay .................... 87 6.4.3 Single Chip Seal ........................................................................................ 88 6.4.4 Multiple Course Micro-Surfacing ............................................................. 88 6.4.5 Bituminous Crack Seal ............................................................................. 88 CHAPTER 7 - SUMMARY OF FINDINGS AND RECOMMENDATIONS ................ 91 7.1 Summary of Findings ........................................................................................ 91 7.2 Recommendations for Future Research ............................................................ 94 APPENDIX A ................................................................................................................... 97 HISTOGRAMS USED TO DETERMINE THE LIFE EXPECTANCY FOR THE FOLLOWING PREVENTIVE MAINTENANCE (PM) TREATMENTS BASED ON THE DISTRESS INDEX (DI) APPENDIX B ................................................................................................................. 118 HISTOGRAMS USED TO EVALUATE THE DISTRESS INDEX (DI) PREVENTIVE MAINTENANCE (PM) GUIDELINE VALUES FOR THE FOLLOWING PM TREATMENTS APPENDIX C ................................................................................................................. 152 HISTOGRAMS USED TO EVALUATE THE RIDE QUALITY INDEX (RQI) PM GUIDELINE VALUES FOR THE FOLLOWING PREVENTIVE MAINTENANCE (PM) TREATMENTS BASED ON THE DISTRESS INDEX (DI) APPENDIX D ................................................................................................................. 184 TWO SAMPLE T-TEST RESULTS FROM MINI-TAB USED TO EVALUATE THE DISTRESS INDEX (DI) PREVENTIVE MAINTENANCE (PM) GUIDELINE VALUES FOR THE FOLLOWING PM TREATMENTS APPENDIX E ................................................................................................................. 195 TWO SAMPLE T-TEST RESULTS FROM MINI-TAB USED TO EVALUATE THE RIDE QUALITY INDEX (RQI) PREVENTIVE MAINTENANCE (PM) GUIDELINE VALUES FOR THE FOLLOWING PM TREATMENTS BASED ON THE DISTRESS INDEX LIST OF REFERENCES ......................................................................... 207 vi LIST OF TABLES Table 2.1 — MDOT Performance Threshold Values for Non-Structural Bituminous Overlay (MDOT, 1998) ............................................................................................ 11 Table 2.2 - Estimated Life Extension for Non-Structural Bituminous Overlay (MDOT, 1998) ......................................................................................................................... 11 Table 2.3 -— MDOT Performance Thresholds for Surface Milling with a Non-Structural Bituminous Overlay (MDOT, 1998) ......................................................................... 12 Table 2.4 - Estimated Life Extension for Surface Milling with a Non-Structural Bituminous Overlay (MDOT, 1998) ......................................................................... 13 Table 2.5 — MDOT Performance Thresholds for Chip Sealing (MDOT, 1998) ............... 13 Table 2.6 - Estimated Life Extension for Chip Seals (MDOT, 1998) .............................. 14 Table 2.7 — MDOT Performance Thresholds for Micro-Surfacing (MDOT, 1998) ......... 15 Table 2.8 - Estimated Life Extension for Micro-Surfacing (MDOT, 1998) ..................... 15 Table 2.9 — MDOT Performance Thresholds for Bituminous Crack Treatment (MDOT, 1998) ......................................................................................................................... 16 Table 2.10 - Estimated Life Extension for Bituminous Crack Treatment (MDOT, 1998)17 Table 2.11 — MDOT Performance Thresholds for Overband Crack Filling (MDOT, 1998) ................................................................................................................................... 17 Table 2.12 - Estimated Life Extension for Overband Crack Filling (MDOT, 1998) ....... 18 Table 2.13 — MDOT Performance Thresholds for Ultra-Thin Bituminous Overlay (MDOT, 1998) .......................................................................................................... 19 Table 2.14 - Estimated Life Extension for Ultra-Thin Bituminous Overlay (MDOT, 1998) ................................................................................................................................... 20 Table 2.15 - Appropriate Maintenance Strategies for Various Distress Types (Hicks, eta], 1998) ......................................................................................................................... 22 Table 2.16 - Factors Affecting Preventive Mainenance Treatments ................................ 23 Table 2.17 - Results of 1999 Southern Region SPS-3 Survival Analysis (Elthahan et. a1.) ................................................................................................................................... 28 vii Table 3.1 - Pavement Distresses Collected by the MDOT ............................................... 37 Table 3.2 - Distress Index Categories ............................................................................... 38 Table 3.3 - Ride Quality Categories ................................................................................. 39 Table 5.1 - Suggested Levels of Reliability for Various Functional Classifications (AASHTO, 1986) ...................................................................................................... 50 Table 5.2 - Number of Data Points for Each Fix Type ..................................................... 51 Table 6.1 - First Estimate of Reliability Values over time for the Various PM Fixes ...... 67 Table 6.2 - Estimated Reliabilities of Life Expectancy for Various Fixes Based on MDOT’S PM Guidelines ........................................................................................... 68 Table 6.3 — Estimated Reliabilities of Life Expectancy for Various Fixes Based on MDOT’S Rehabilitation Threshold ........................................................................... 69 Table 6.4 — Two Sample t-test Results Using DI .............................................................. 74 Table 6.5 — Summary Table for Reliability Analysis on Evaluating the Guideline Values for the Treatment Types ............................................................................................ 85 Table 6.6 — Two Sample t-test Results Based on RQI ...................................................... 89 viii LIST OF FIGURES Figure 2.1 - Properly Applied Preventive Maintenance (Galehouse, 1998) ..................... 24 Figure 2.2 - Delayed Preventive Maintenance (Galehouse, 1998) ................................... 25 Figure 2.3 - Conceptual Relationship for Timing of Various Maintenance and Rehabilitation Treatments (Hicks et. al., 1998) ........................................................ 26 Figure 4.1 - Number of Preventive Maintenance Projects with Distress Index Data ....... 42 Figure 4.2 - Number of Preventive Maintenance Projects with Ride Quality Index Data 42 Figure 4.3 — Schematic drawing showing the above calculation ...................................... 44 Figure 5.1 - Schematic Showing the Reliability Model (Pendleton, 1994) ...................... 47 Figure 5.2 - Example Calculation for Reliability Analysis ............................................... 49 Figure 6.1 -— Average DI after Preventive Maintenance versus Time ............................... 56 Figure 6.2 - Non-Structural Bituminous Overlay Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) ............................................................... 58 Figure 6.3 - Non-Structural Bituminous Overlay Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) ............................................... 58 Figure 6.4 — Surface Milling with a Non-Structural Bituminous Overlay Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) .................... 59 Figure 6.5 — Surface Milling with a Non-Structural Bituminous Overlay Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) 60 Figure 6.6 - Single Chip Seal Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) ................................................................................................. 61 Figure 6.7 — Single Chip Seal Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) ...................................................................... 62 Figure 6.8 — Multiple Course Micro-Surfacing Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) ..................................................................... 63 Figure 6.9 — Multiple Course Micro-Surfacing Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) ............................................... 63 ix Figure 6.10 — Bituminous Crack Sealing Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) ..................................................................... 65 Figure 6.11 — Bituminous Crack Sealing Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) ............................................... 65 Figure 6.12 — Reliability of Life Expectancy for Non-Structural Bituminous Overlay When PM is done before the DI Guideline Value .................................................... 77 Figure 6.13 — Reliability of Life Expectancy for Non-Structural Bituminous Overlay When PM is done after the DI Guideline Value ....................................................... 78 Figure 6.14 - Reliability of Life Expectancy for Surface Milling with a Non-Structural Bituminous Overlay When PM is done before the DI Guideline Value ................... 79 Figure 6.15 — Reliability of Life Expectancy for Surface Milling with a Non-Structural Bituminous Overlay When PM is done after the DI Guideline Value ..................... 79 Figure 6.16 — Reliability of Life Expectancy for Single Chip Seal When PM is done before the DI Guideline Value .................................................................................. 80 Figure 6.17 — Reliability of Life Expectancy for Single Chip Seal When PM is done after the DI Guideline Value ............................................................................................. 81 Figure 6.18 — Reliability of Life Expectancy for Multiple Course Micro-Surface When PM is done before the DI Guideline Value ............................................................... 82 Figure 6.19 -— Reliability of Life Expectancy for Multiple Course Micro-Surface When PM is done after the DI Guideline Value .................................................................. 82 Figure 6.20 - Reliability of Life Expectancy for Bituminous Crack Seal When PM is done before the DI Guideline Value ......................................................................... 83 Figure 6.21 — Reliability of Life Expectancy for Bituminous Crack Seal When PM is done after the DI Guideline Value ............................................................................ 84 Figure A.1 - Histogram of D1 1 Year after PM ................................................................. 98 Figure A.2 - Histogram of D1 2 Years afier PM ............................................................... 98 Figure A.3 - Histogram of D1 3 Years after PM ............................................................... 99 Figure A.4 - Histogram of D1 4 Years after PM ............................................................... 99 Figure A.5 - Histogram of D1 5 Years after PM ............................................................. 100 Figure A.6 - Histogram of D1 6 Years after PM ............................................................. 100 Figure A.7 - Histogram of DI 7 Years after PM ............................................................. 101 Figure A.8 - Histogram of D1 8 Years afier PM ............................................................. 101 Figure A.9 - Histogram of DI 1 Years after PM ............................................................. 102 Figure A.10 - Histogram of DI 2 Years after PM ........................................................... 102 Figure A.11 - Histogram Of DI 3 Years afier PM ........................................................... 103 Figure A.12 - Histogram of D1 4 Years afier PM ........................................................... 103 Figure A.13 - Histogram of D1 5 Years after PM ........................................................... 104 Figure A.14 - Histogram of D1 6 Years after PM ........................................................... 104 Figure A.15 - Histogram of D1 7 Years after PM ........................................................... 105 Figure A.16 - Histogram of DI 1 Years after PM ........................................................... l06 Figure A.17 - Histogram of D1 2 Years after PM ........................................................... 106 Figure A.18 - Histogram of DI 3 Years afier PM ........................................................... 107 Figure A.19 - Histogram of D1 4 Years afier PM ........................................................... 107 Figure A.20 - Histogram of D1 5 Years after PM ........................................................... 108 Figure A.21 - Histogram of D1 6 Years after PM ........................................................... 108 Figure A.22 - Histogram of D1 7 Years alter PM ........................................................... l09 Figure A.23 - Histogram of D1 1 Years afier PM ........................................................... 110 Figure A.24 - Histogram of D1 2 Years after PM ........................................................... 110 Figure A.25 - Histogram of D1 3 Years after PM ........................................................... 111 Figure A.26 - Histogram of D1 4 Years after PM ........................................................... 111 Figure A.27 - Histogram of D1 5 Years afier PM ........................................................... 112 Figure A.28 - Histogram of D1 6 Years after PM ........................................................... 112 xi Figure A.29 - Histogram of D1 7 Years after PM ........................................................... 113 Figure A.30 - Histogram of D1 1 Years after PM ........................................................... 114 Figure A.31 - Histogram of D1 2 Years after PM ........................................................... 114 Figure A.32 - Histogram of D1 3 Years after PM ........................................................... 115 Figure A.33 - Histogram of D1 4 Years after PM ........................................................... 115 Figure A.34 - Histogram of D1 5 Years after PM ........................................................... 116 Figure A.35 - Histogram of D1 6 Years afier PM ........................................................... 116 Figure A.36 - Histogram of D1 7 Years after PM ........................................................... 117 Figure 8.1- Histogram of DI 1 Year after PM when the pre-existing condition is less than the guideline value .................................................................................................. 119 Figure B.2 - Histogram of D1 1 Year afier PM when the pre-existing condition is greater than the guideline value .......................................................................................... 119 Figure 8.3 - Histogram of D1 2 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 120 Figure 8.4 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 120 Figure 8.5 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 121 Figure B.6 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value .......................................................................................... 12l Figure B.7 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 122 Figure B.8 - Histogram of D1 4 Years afierPM when the pre-existing condition is greater than the guideline value .......................................................................................... 122 Figure 8.9 - Histogram of DI 5 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 123 Figure B.10 - Histogram of D1 5 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 123 xii Figure 3.11 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 124 Figure B.12 - Histogram of D1 6 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 124 Figure B. 1 3 - Histogram of DI 8 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 125 Figure B.14 - Histogram of D1 8 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 125 Figure B. 1 5 - Histogram of DI 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 126 Figure B.l6 - Histogram of DI 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 126 Figure 3.17 - Histogram of D1 2 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 127 Figure B.18 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 127 Figure B.19 - Histogram of D1 3 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 128 Figure 8.20 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 128 Figure 3.21 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 129 Figure 8.22 - Histogram of DI 4 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 129 Figure 3.23 - Histogram of DI 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 130 Figure 8.24 - Histogram of DI 5 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 130 Figure B.25 - Histogram of D1 7 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 131 xiii Figure B.26 - Histogram of DI 7 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 131 Figure 8.27 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 132 Figure B.28 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 132 Figure B.29 - Histogram of DI 2 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 133 Figure B.30 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 133 Figure B.31 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 134 Figure B.32 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 134 Figure 3.33 - Histogram of DI 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 135 Figure B.34 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 135 Figure B.35 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 136 Figure B.36 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 136 Figure B.37 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 137 Figure B.38 - Histogram of D1 6 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 137 Figure 8.39 - Histogram of DI 7 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 138 Figure B.40 - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 138 xiv Figure 3.41 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 139 Figure 8.42 - Histogram of DI 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 139 Figure B.43 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 140 Figure 3.44 - Histogram of DI 2 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 140 Figure 8.45 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 141 Figure 8.46 - Histogram of DI 3 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 141 Figure B.47 - Histogram of DI 4 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 142 Figure B.48 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 142 Figure B.49 - Histogram of DI 5 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 143 Figure 8.50 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 143 Figure B.51 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 144 Figure 3.52 - Histogram of DI 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 144 Figure 8.53 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 145 Figure B.54 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 145 Figure 8.55 - Histogram of DI 2 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 146 XV Figure B.56 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 146 Figure B.57 - Histogram of D1 3 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 147 Figure B.58 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 147 Figure 8.59 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 148 Figure 8.60 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 148 Figure 8.61 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 149 Figure 8.62 - Histogram of DI 5 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 149 Figure B.63 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 150 Figure 8.64 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 150 Figure 8.65 - Histogram of DI 7 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 151 Figure B.66 - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 151 Figure C.1 - Histogram of DI 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 153 Figure C.2 - Histogram of DI 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 153 Figure C.3 - Histogram of DI 2 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 154 Figure C.4 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 154 xvi Figure C.5 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 155 Figure 06 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 155 Figure C.7 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 156 Figure C.8 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 156 Figure 09 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 157 Figure C.10 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 157 Figure C.ll - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 158 Figure C. 12 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 158 Figure C.13 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 159 Figure C. 14 - Histogram of DI 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 159 Figure C. 15 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 160 Figure C.16 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 160 Figure C.17 - Histogram of DI 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 161 Figure C. 1 8 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 161 Figure C. 19 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 162 xvii Figure C.20 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 162 Figure C.21 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 163 Figure C.22 - Histogram of D1 5 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 163 Figure C.23 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 164 Figure C.24 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 164 Figure C.25 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 165 Figure C.26 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 165 Figure C.27 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 166 Figure C.28 - Histogram of D1 2 Years alter PM when the pre-existing condition is greater than the guideline value .............................................................................. 166 Figure C.29 - Histogram of DI 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 167 Figure C.30 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 167 Figure C.31 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 168 Figure C.32 - Histogram of D1 4 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 168 Figure C.33 - Histogram of DI 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 169 Figure C.34 - Histogram of D1 5 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 169 xviii Figure C.35 - Histogram of DI 6 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 170 Figure C.36 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 170 Figure C.37 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 171 Figure C.38 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 171 Figure C.39 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 172 Figure C.40 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 172 Figure C.41 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 173 Figure C.42 - Histogram of DI 3 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 173 Figure C.43 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 174 Figure C.44 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 174 Figure C.45 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 175 Figure C.46 - Histogram of D1 5 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 175 Figure C.47 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 176 Figure C.48 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 176 Figure C.49 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value .......................................................................................... 177 xix Figure C.50 - Histogram of DI 1 Year after PM when the pre-existing condition is greater than the guideline value .......................................................................................... 177 Figure C.51 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 178 Figure C.52 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value .............................................................................. 178 Figure C.53 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 179 Figure C.54 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 179 Figure C.55 - Histogram of D1 4 Years afier PM when the pre-existing condition is less than the guideline value .......................................................................................... 180 Figure C.56 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 180 Figure C.57 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 181 Figure C.58 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 181 Figure C.59 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 182 Figure C.60 - Histogram of DI 6 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 182 Figure C.61 - Histogram of D1 7 Years after PM when the pre-existing condition is less than the guideline value .......................................................................................... 183 Figure C.62 - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value .............................................................................. 183 CHAPTER 1 - INTRODUCTION 1.1 Problem Statement The highway system in the United States represents the single largest engineering investment ever made in this nation. Maintaining the highway system is necessary in order for this nation’s economy to continue to thrive and advance. Without efficient and modern transportation systems, farm products would spoil in fields and industrial goods would remain in the factories [57]. Unfortunately, highway systems are not built to last forever. They deteriorate and disintegrate at an accelerating rate unless they are properly and continually maintained, rehabilitated, redesigned, and reconstructed. The focus of road construction has shifted from constructing new pavements to maintaining and rehabilitating the existing pavement system since the highway system is basically complete [57]. The Michigan Department of Transportation (MDOT) has implemented a successful preventive maintenance program that is aimed at maintaining the pavement network by slowing the rate of deterioration and correcting minor pavement deficiencies. This is accomplished by using treatments that correct pavement surface defects caused by the environment and the paving materials [13]. Applying preventive maintenance treatments to a pavement at the appropriate time can extend its service life for a number of years at a relatively low cost as compared with the cost of rehabilitation. The MDOT has existing guidelines for the various preventive maintenance fixes in the form of limiting values of the Distress Index (DI), Ride Quality Index (RQI), and Rut Depth beyond which, preventive maintenance fixes should not be applied. The guidelines also include the expected life extension for the different preventive maintenance fixes. The expected life extension values are based on the past experience and engineering judgment of the MDOT. The research conducted in this study will add engineering analysis to confirm the life expectancy values and guidelines for the various preventive maintenances fixes. 1.2 Maintenance Maintenance activities are generally divided into three categories: (1) Preventive, (2) corrective, and (3) routine. Preventive maintenance includes those activities that protect the pavement structure, hinder the rate of pavement deterioration, and provide a smooth ride while not increasing the structural capacity of the pavement [1 l]. Corrective maintenance are those activities performed to correct a specific pavement failure or areas of distress [11]. 1.2.1 Preventive Maintenance Preventive maintenance includes such fixes as thin overlays, surface seals, and crack sealing. Thin non-structural overlays and surface seals are those activities that consist of asphalt and aggregate or asphalt alone applied to the pavement surface. “They (1) rejuvenate or retard the oxidation of the asphalt surface; (2) restore skid resistance; (3) seal fine cracks which have appeared at the surface; (4) prevent the intrusion of water into the pavement structure through cracks; and (5) retard raveling [4].” The most common types of overlays are non-structural bituminous overlays, surface milling with non-structural bituminous overlay, and micro-surfacing. The most common type of surface seals are chip seals and micro-surfacing. The most common type of crack sealing is crack treatment and overband crack sealing. Each preventive maintenance activity will be discussed further in Chapter 2. 1.2.2 Corrective Maintenance Corrective maintenance mainly consists of patching, chip seals, and thin bituminous overlays [4]. Only patching will be discussed in the following section, since the latter treatments have been discussed above. Patching is one of the most common methods of repairing localized areas of intense cracking whether the cracking is load associated (fatigue), non-load associated (environmental-transverse or construction-longitudinal) [4]. If the cracks have deteriorated to the point of spalling then the spalled material must be removed and replaced. Patching usually consists of full-depth patches. Partial depth patches involve removing the surface layer and replacing it with Hot Mix Asphalt (HMA). They are used to fix slippage cracking due to poor bond between the HMA surface and the underlying layer or for shoving and corrugations [4]. Full- depth patches involve replacing the entire asphalt concrete layer. They are used to fix fatigue cracking and potholes. 1.2.3 Routine Maintenance AASHTO defines routine maintenance as “the day-to-day maintenance activities that are scheduled or whose timing is within the control of maintenance personnel [54].” Some examples of routine maintenance include filling cracks on the pavement surface, painting pavement markings or cleaning ditches. 1.3 Research Objective and Organization 1.3.1 Research Objective The research objective is to use the wealth of Pavement Management System (PMS) performance data gathered on two hundred forty (240) preventive maintenance (PM) projects since 1992 to perform a reliability-based analysis for the purpose of determining the life expectancy and the evaluation of the limiting values for the different PM fixes. The pavement performance parameters that MDOT gathers are distress index (DI), ride quality index (RQI), and rut depth. These performance parameters will be discussed further in Chapter 3. 1.3.2 The Proposed Model Reliability analysis is a statistical tool stemming from the fact that there is some uncertainty and variability in modeling the behavior of a system. The objective of the analysis is to insure some level of reliability in predicting performance. There are numerous levels of uncertainties in the prediction of pavement deterioration. Reliability analysis addresses three basic questions about the reliability of a system: 0 What are the possible outcomes? 0 What is the likelihood of each outcome? 0 What are the consequences of decisions based on the knowledge of the probability of each outcome [55]? The reliability-based model which uses the distress index as the main performance measure allows for estimating the life expectancy for the following MDOT fixes: Non-structural bituminous overlay, surface milling with a non-structural bituminous overlay, single chip seal, multiple course micro-surface, and bituminous crack seal. Once the life expectancy values are determined they can be compared to the life extension values that the MDOT uses. The next goal is to evaluate the effectiveness of the guideline values for the preventive maintenance fixes. This is accomplished by knowing the pre-existing condition of the pavement before the preventive maintenance fix was applied. The evaluation of the DI guidelines was tested by looking at the mean distress indices of two populations: 0 Population one: DI values less than or equal to the DI guideline value at the time of the preventive maintenance. 0 Population two: DI values greater than the guideline value at the time of the preventive maintenance. 1.3.3 Organization This thesis is organized in seven chapters as follows: Chapter 1 gives some background information on the research undertaken and provides the problem statement and objectives of the research study. Chapter 2 presents a literature review of existing preventive maintenance models for selecting the appropriate fix, the timing of the fix, the life extension of the fix, and the cost benefits from preventive maintenance. Chapter 3 gives a brief overview of the MDOT Pavement Management System (PMS) focusing on the type of data collected and the indexes used, while Chapter 4 describes the data extraction process and the development of the database used in this research. Chapter 5 describes the use of reliability analysis and hypothesis testing to develop estimates of pavement life expectancy and evaluate the guideline values for the preventive maintenance fixes. Chapter 6 presents the results of this research and includes a comparison with MDOT’s life expectancies and an evaluation of their PM guidelines. Chapter 7 presents the summary of findings and provides recommendations for future research. CHAPTER 2 - LITERATURE REVIEW 2.1 Introduction The objective of a preventive maintenance program is to protect the pavement structure, reduce the rate of pavement deterioration and/or correct pavement surface deficiencies [13]. Pavement maintenance can be organized into three activity groups: preventive, corrective, and routine maintenance. According to AASHTO, “preventive maintenance is a planned strategy of cost-effective treatments to an existing roadway system and its appurtenances that preserves the system, retards future deterioration and maintains or improves the functional condition of the system without (significantly) increasing structural capacity [22].” Corrective maintenance are activities that must be done in response to events beyond the control of the highway agency. Some events require immediate response for safety concerns and hence, they cannot be scheduled [22]. Some examples of corrective maintenance activities include pothole patching, removing and patching pavement blowups, or unplugging drainage facilities. AASHTO defines routine maintenance as “the day-to-day maintenance activities that are scheduled or whose timing is within the control of maintenance personnel [54].” Some examples of routine maintenance include filling cracks, painting pavement markings or cleaning ditches. If delays in preventive maintenance occur, pavement defects and their severity level increase so that when corrected the cost is much greater. As a result, the life-cycle costs of the pavements will be considerably increased. 2.2 Facts about Preventive Maintenance Below are some facts about preventive maintenance that have been extracted from the literature: 0 Pavement Management Systems (PMS) have been around since the early 1970’s in the United States and internationally [11]. o The policy of preventive maintenance did not catch on in the US. until the early 1990’s [11]. 0 France in 1969 began reconditioning its 28,000 km of roads after adopting a preventive maintenance policy [2]. o In 1991, the US. Congress amended Section 119 of Title 23, of the United States Code with the Intermodal Surface Transportation Equity Act. This act provided for federal-aid fund eligibility for preventive maintenance type projects [13]. o In Michigan there is approximately 9,580 lane-miles of highway constructed of flexible, rigid and composite pavements [l3]. 0 Between 1992 and 1998, approximately 2,650 miles of trunk line pavement have been treated with preventive maintenance [13]. 0 Rehabilitation and Reconstruction costs 14 times more per lane-mile than preventive maintenance projects [13]. 0 Since 1997 the annual budget for the capital preventive maintenance program has grown from $3,000,000 to $60,000,000. 0 An estimated savings of more than $700 million has been realized since Michigan’s preventive maintenance program was implemented in 1992 as Opposed to rehabilitating the pavements[l 3]. 0 Highway agencies are now in a maintenance/rehabilitation mode of operation since no new hi ghways/interstates are being constructed. 2.3 Asphalt Pavement Distresses Some of the most common types of distresses in flexible pavements are listed below: 0 Transverse Cracking, 0 Longitudinal Cracking, 0 Longitudinal Joint Deterioration, o Alligator Cracking, - Block Cracking, o Rutting, o Raveling & Weathering/ Segregation, o Patching, and o Roughness. The causes of these distresses will not be discussed here, but they can be found in several publications from various sources including the National Center for Asphalt Technology [4]- 2.4 Preventive Maintenance Treatments The MDOT uses a mix of fixes to benefit the highway network. The guidelines for each preventive maintenance fix were obtained from the MDOT’S Capital Preventive Maintenance Program Guide [22]. The following lists the MDOT’s preventive maintenance fixes: a Non-Structural Bituminous Overlay, - Surface Milling with Non-Structural Bituminous Overlay, 0 Chip Seal, 0 Micro-Surfacing, 0 Crack Treatment, 0 Overband Crack Filling, 0 Bituminous Shoulder Ribbons, and o Ultra-Thin Bituminous Overlay. Non-Structural Bituminous Overlay Description: A dense-graded bituminous mixture limited to 90-kg/m2-application rate. Purpose: A non-structural bituminous overlay is the highest type of surface treatment fix available in the Capital Preventive Maintenance Program (CPMP). It will provide some protection to the pavement structure, slow the rate of pavement deterioration, correct many pavement surface deficiencies, improve the ride quality, and add some strength to the existing pavement structure. Existing Pavement Condition: The existing pavement condition should exhibit a good base condition and a uniform cross section. The visible surface distress may include moderate raveling, longitudinal and transverse cracks and small amounts of block 10 cracking. Low associated distress may be present. The pavement should only have some minor base failures and depressions. Table 2.1 gives performance criteria for distress index, ride quality index, and rut depth as to when the non-structural bituminous overlay should be applied. Table 2.1 — MDOT Performance Threshold Values for Non-Structural Bituminous Overlay (MDOT, 1998) Pavement Minimum RSL Tine (years) D.I. R.Q.I. Rut Depth Flexible 3 <40 <70 <12mm Composite 3 <25 <70 Mnm mafiOflh—flOuF oogfiofiummz o>flflo>ohn~ A33 430 .335 $qu mmobma 32.5» How momwofibm ocean—8:82 oumtnoaaac - m L :0. 03a... 22 Hicks, Moulthrop, and Daleiden also developed a decision matrix to include the effects of several variables in the selection process of the appropriate fix [10]. These rating variables are determined based on the level of significance and then multiplied by a scoring factor based on level of importance to give a total score for that variable. The total scores are then summed together for each variable, and the same procedure is repeated for different fix types. The fix type with the highest score will be the one to use for that specific project. Selection of the appropriate fix/treatment is a difficult task as numerous factors affect the selection of the appropriate maintenance according to Table 2.16 [24]. Table 2.16 - Factors Affecting Preventive Mainenance Treatments Type and extent of distress Traffic loading Climate Existing pavement type Cost of treatment Expected life Availability of qualified contractors Availability of quality materials Time of year of placement Pavement noise Facility downtime Surface friction Once one understands the above factors and how they influence each potential treatment, then the selection of the most cost effective treatment can be done. The next critical element in a preventive maintenance program is the determination of the application time of a given fix. This is illustrated in Figure 2.1 and Figure 2.2 according to the MDOT [13]. A distress value of fifiy (50) points or less indicates a pavement in “satisfactory” condition, while a distress value of more than fifty (50) indicates a pavement in “unsatisfactory” condition. Figure 2.1 shows the pavement life extension when a preventive maintenance treatment is applied at the appropriate time to a pavement in “satisfactory” condition. Figure 2.2 shows the result when a preventive maintenance treatment is applied to a pavement in “unsatisfactory” condition. From these figures certain conclusions can be drawn. Treatments applied to severely distressed pavements receive little benefit. However, if treatments applied to pavements with light to moderate distress, the same treatment provides substantial benefit by significantly extending the life of the pavement. Note that while the curves for Figure 2.1 and 2.2 are linear, this may not be the case for most pavements. The figures are therefore just for illustration purposes. 50 j-p————_— urrent ‘ . —_———. (ondtttor Distress Index Time I I I Life Extended I Fix Life L Design Life I Figure 2.1 - Properly Applied Preventive Maintenance (Galehouse, 1998) 24 Current , .—"T——"' Condition Distress Index vi 3 A \ 0 Time Fix Life Figure 2.2 - Delayed Preventive Maintenance (Galehouse, 1998) Figure 2.3 is an example of a decision making process that can be used in order to determine the timing of a treatment for a specific project. Using the data from a pavement condition survey on a scale of one to one hundred, threshold limits can be determined to define when a treatment type should be optimally applied. 25 Routine Mainlvnnnr'e ‘mvmm Maintenance Defer Action Rulmbilitaliun 7.....7...---..._w..-__._---_-__-__-.._.1--_-....,-._-__... L...... 20-9"“ L Ti_me Figure 2.3 - Conceptual Relationship for Timing of Various Maintenance and Rehabilitation Treatments (Hicks et. al., 1998) Pavement. Condition Index In summary, factors affecting the performance of a pavement that is subjected to preventive maintenance include the timing of the preventive maintenance activity, selection of the appropriate maintenance fix, and the construction problems and quality of materials. If all these factors are taken into account, then the appropriate fix will provide a smooth, high-quality facility that the public expects. 2.6 Performance Findings from Previous Studies Various studies have been done to determine the life extension and optimal timing of preventive maintenance fixes. The models used to determine the life extension and Optimal timing include: survival modeling, probabilistic modeling, regression and other statistical analyses, and field reviews. 26 2.6.1 Survival Modeling A survival analysis of SPS-3 sites in the southern Long Term Pavement Performance (LTPP) region was conducted in 1999 [9]. The Obj ectives of the study were to determine the following: o The fix treatment life expectancy of the treatment (i.e. median survival time), o The timing of the treatment application (i.e. was the pre-existing condition of the pavement in poor, good, fair, or excellent condition), and o The benefit of the treatment in terms of life extension as compared with the “do nothing” option. The Kaplan-Meier method, which is a nonparametric survival analysis technique, was used in determining the life expectancy and life extension. The survival probability for each fix can be estimated by using the calculated survival time on those pavements in which a fix was applied and then allowed to deteriorate until a poor condition is assessed. The failure probability is calculated as 1-P[survival]. Therefore the failure probability is a function of age only. The six year failure probability and the median survival times for the different treatments are shown in Table 2.17. 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O 25,—. _a>_>.=_m . «uncut». 03.3.5. aao>é 5:52 < 3.. .s afiéa Baas... 335m 3% SEE 805:8 92: co 338m - SH 2x3 28 Elthahan et. al showed that after six years of treatment, sections with a poor condition had a probability of failure of 83% whereas those with a fair or good original condition had a probability of failure of 38% and 37%, respectively. The median survival times (life extension) for thin overlays, slurry seals, and crack seals were 7.0, 5.5, and 5.0 years, respectively. The chip seal sections did not reach the 50 percent failure probability after eight years of experiment. Therefore chip seals were concluded to have outperformed thin overlays, slurry seals, and crack seal treatments. 2.6.2 Regression Modeling Morian et. al. used SPS-3 performance data and applied regression analyses in a 1998 study [51]. The data analyzed included distress, deflection, roughness, rut depth, and friction data. Prediction models using multiple regression were developed for cracking, rutting, roughness, friction, and an index called the Pavement Rating Score (PRS). The purpose of this study was to: 0 Determine the effective timing of the various treatments, 0 Evaluate the effectiveness of the different treatments, and 0 Share information and experience among the profession. Results of this study are summarized below: 0 The structural adequacy was not found to have a significant effect on the performance of the SPS-3 treatments. Structural adequacy is “the actual structural number of the test section divided by structural number requirements to carry the section traffic volume.” This means that “the pavements with inadequate structure performed as well, or as poorly, as those with adequate structure.” 29 c There was an immediate reduction in rutting for the thin overlay treatment. Slurry seal sections rutted at a lower rate and chip seal sections at a slightly faster rate compared to the control section. 0 Thin overlay achieved significant reductions in roughness; chip seals and slurry seals had a slight reduction, and crack seals did not reduce roughness. 0 Composite regression curves (good, fair, and poor curves combined into one curve) were developed for each fix type and climatic region. This will allow for the determination of the life extension for each fix based on a threshold for the PRS. Raj agopal et. al. looked at how timing and level of maintenance affect the deterioration rate and pavement life-cycle for three maintenance treatments [15]. They developed nonlinear regression models using pavement age, cumulative equivalent single-axle loads, composite structural number, life-cycle before overlay and thickness of the proposed treatment to determine the pavement condition rating (PCR) at some time (t). A relationship that included the preexisting condition of the pavement was also developed. From the regression equation, if one enters the PCR before the preventive maintenance action then one can estimate the PCR after the preventive maintenance action. Performance curves can then be developed showing the PCR versus age, and from these one can make a decision as to when the preventive maintenance should be applied. Sebaaly et. al. developed a model that relates the present serviceability index (PS1) to age, material properties, traffic loading, and climate [18]. These performance 30 models were for the flexible pavement maintenance treatments commonly used by the Nevada Department of Transportation (N DOT). For each NDOT district and fix type the actual PSI was compared with the PSI calculated by the developed model for validation since the model is only applicable to the range of values it was developed from. The majority of the models had R2 values greater than 70% which indicates a good fit between the model and the data. Once the model is validated it can be used as a preventive maintenance tool to plan ahead for fiiture activities. Kuo et. al. looked at the projected rate of deterioration of pavement segments in Florida due to traffic, speed limit, rainfall, temperature, work-mix, historical condition ratings, distress types, pavement thickness, age, and most recent year-to-year rating decline [56]. An analysis was made to determine the appropriate response variable and predictor variables in the prediction model with statistical tests conducted to finalize the predictor variables for the model. The validity of the prediction model was compared with the predicted condition ratings. The model solves for the number of years until failure based on cracking given the amount of cracking at the current year. Once the model is validated it can be used as a preventive maintenance tool to plan ahead for future activities. 2.6.3 Statistical Modeling Hall et. al. used Dunnet’s method of Multiple Comparison with Control (MCC) to analyze LTPP data from the SPS-3 experiment. The following objectives were sought [47]: o The initial effects, if any, of the fix type on the pavement condition, 31 o The long term effects, if any, of fix type on the performance of the pavement, o The influence, if any, of the pre-existing condition of the pavement, and o The relative effectiveness of the different preventive maintenance fixes. The pavement condition measures were roughness (IRI), rutting, and fatigue cracking. The Dunnet’s MCC method is a statistical test that defines a confidence interval for the difference between the observed values in the treated section versus the observed value in the control section. If zero is in the confidence interval then there is a significant effect of the treatment on the change in the pavement condition. This analysis was used for each fix type and for analyzing each objective using the pavement condition measures outlined above. The treatments used in this experiment were thin overlay, chip seal, slurry seal, and crack seal. This study resulted in the following conclusions. In terms of roughness, rutting, and fatigue cracking, the most effective maintenance treatment in the SPS-3 experiment was a thin overlay followed by the chip seal treatment and then the slurry seal treatment. The thin overlay treatment was the only fix type to produce a small reduction in roughness and the only one to have a significant effect on long-term roughness relative to the control sections. For very rough pavements, chip seal and slurry seal had a small effect on long-term roughness relative to the control sections. Crack seals did not have a significant effect on long -term rutting, roughness, or fatigue cracking. 2.6.4 Probabilistic Modeling-Markovian Chains The Markov Model is a very powerful probabilistic method that can be used as a decision making tool for determining optimal maintenance and repair strategies. Butt et. 32 al developed a Markov model that related pavement condition index (PCI) to pavement age [39]. Li et. al. looked at the deterioration of a pavement (pavement condition state (PCS)) over time due to traffic and climate [17]. The general process of a Markov model is as follows: There is a certain number of pavement sections in different “states/conditions” over time. These sections deteriorate into different “states” each year. This results in a Transition Probability Matrix (TPM). Each matrix element is the probability of a pavement being in that “state” the ensuing year. The validity of the model can be accomplished by plotting the actual PCI curve compared with the predicted PCI curve. The Markov process can be used in determining optimal pavement strategies for all pavement sections in the network. 2.6.5 Engineering Field Review of SPS-3 Projects In the summer and fall of 1995, four Expert Task Groups (ETG’S), one in each LTTP Region, visited and performed site reviews on fifty-seven SPS-3 sites [38]. The ETG members rated the pavements based on overall pavement condition irrespective of fix type, the overall condition of the fix types, the overall effectiveness of the fix types (in terms of the amount of distresses present), and whether or not the fix was appropriate. After analyzing the data the ETG’s concluded that afier five years of field performance the treatments have reduced the presence of cracking. The best performing treatments were thin overlays and chip seals as compared to the slurry seal and crack seal. 2.6.6 Engineering Field Review of MDOT’s CPM Program In 1999, 2000, and 2001 B.T. Bellner and Associates conducted a field review and data base study on the MDOT’s Capital Preventive Maintenance (CPM) Program 33 [50]. The purpose of this study was to assess the overall effectiveness of the CPM Program and to make any improvements, if necessary. The field review was conducted to see if the CPM work met the warranty criteria and to evaluate the overall condition of the pavement surface such that a comparison can be made with the DI calculated in the MDOT’s PMS database. The consulting firm reviewed and reported on the following flexible preventive maintenance treatments: Single chip seal, sealing cracks in bituminous pavements, non- structural bituminous overlay, surface milling with non-structural bituminous overlay, micro-surfacing, overband crack sealing, double chip seals, ultra-thin bittnninous overlays, flexible designed micro-surfacing and hot in-place bituminous recycling. Each project for each fix type was reviewed; field data were collected independently, and a report was written. After assessing all the projects, conclusions were drawn for each fix type. B.T. Bellner and Associates reported that, overall the CPM Program had been successful in extending the life of the pavements. The majority of the projects were constructed prior to the CPM Program Guidelines in 1998. The projects were found to be cost-effective by extending the life of pavements at lower costs. The report did not rate the different fixes relative to each other. 2.7 Conclusions The objective of this research is to determine the life expectancy of the preventive maintenance fixes and to evaluate the PM guidelines based on PMS data from the MDOT. From this literature review it can be concluded that the majority of the pavement performance models predict some future performance of the pavement, which can then be 34 used to determine whether or not a preventive maintenance action should be taken. Only the survival analysis model by Elthahan, et. al. determined the life extension for chip seal, crack seal, slurry seal, and thin overlay treatments. It has been determined that preventive maintenance is cost effective and extends the life of pavements. The majority of the authors in the bibliography agree that the Optimal timing of preventive maintenance treatments is when the pavement is in good to fair condition. When the pavement is in poor condition, the increased risk of failure is two to four times higher according to Elthahan et. al. Preventive maintenance is a tool that the highway agencies can use to improve the quality of the pavement network while reducing expenditures. This is based on the fact that preventive maintenance is more economical than the higher cost treatments of rehabilitation/reconstruction. If the do-nothing option is chosen the pavement will slowly deteriorate beyond the point where a maintenance treatment will be of any economical benefit. By applying the appropriate maintenance at the right time (pavement in relatively good condition) during the pavement life, it will increase the quality Of the pavement network by improving its serviceability level. 35 CHAPTER 3 - THE MDOT PAVEMENT PERFORMANCE MEASURES 3.1 Introduction In order for highway agencies to manage their pavements and to provide a smooth ride, anticipate future routine maintenance, and correct pavement deficiencies, they must collect pavement condition data of the entire pavement network. The MDOT collects pavement surface distress data, longitudinal pavement profile data, and rut depth for every tenth-of-a-mile along the pavement network under its jurisdiction. Friction data are collected on a per need basis and are kept in the appropriate region. The data are collected on one-half of the network every year. Therefore data for the entire network are collected every two years. The data are described in the ensuing sections. 3.2 Surface Distress Data The pavement distress survey in Michigan is accomplished by videotaping fifty percent of the network each year. The videotaping is carried out by a private contractor and administered by the MDOT central office. The videotapes are reviewed one frame (each frame contains ten feet of pavement) at a time in the central office. During the review, pavement distresses are documented for each frame. Hence, the MDOT distress data are detailed and can be used at both the network and project levels. The pavement distresses collected by the MDOT are listed in Table 3.1. 36 Table 3.1 - Pavement Distresses Collected by the MDOT Pavement Type Flexible Rigid Composite Transverse tears Transverse joints Transverse tears Transverse cracks Longitudinal cracks Alligator cracks Block cracks Patches Raveling Flushing Intensive miscellaneous cracks Rut depth Ride Quality Transverse Cracks Intensive transverse cracks Longitudinal cracks Delamination Reactive aggregates High steel Mudj acked areas Patches Corner Breaks Popouts Scaling Ride Quality Transverse cracks Longitudinal cracks Block cracks Patches Raveling Flushing Intensive reflective cracks Rut depth Ride Quality The distress data are than grouped into 0.1-mile long unit sections. The pavement management system (PMS) databank contains detailed data for each type of pavement distress, severity, and extent for each 0.1-mile section. The MDOT pavement management group has developed a rating system whereby each type of principal distress and its associated distress are ranked and assigned ‘Distress Points’ (DP) based on their impact on pavement performance and on experience. For any pavement section, the Distress Index (DI) can be calculated as the sum of the distress points along a section normalized to the section length as stated in equation 3.1. _ ZDP L DI where: D1 = Distress index, (3.1) )3 DP = Sum of the distress points along the pavement section, and L =Number of 0.1-mile pavement sections. 37 The DI scale starts at zero for a pavement in perfect condition and increases (without bound) as the pavement condition worsens. The MDOT categorizes DI into three levels as shown in Table 3.2. Table 3.2 - Distress Index Categories DI Level Low < 20 Medium 20-40 ' >40 A pavement with a D1 of fifiy or higher is considered to be in unacceptable condition and has therefore exhausted its service life. This DI-threshold value is based on historical pavement performance. 3.3 Longitudinal Pavement Profile Data The longitudinal pavement profile is collected by the MDOT using a rapid inertial profiler. The system, which is composed of laser sensors mounted on a utility vehicle, measures the longitudinal profile of the road and records the data in three-inch increments. An onboard computer analyzes the data for each 0.1-mile of pavement and calculates the International Roughness Index (IRI) and the Ride Quality Index (RQI). The former is calculated to satisfy the Federal Highway Administration requirements and the latter is for use by the MDOT. The RQI is a weighted sum of the variances in elevation from three wavelength bands (short, intermediate, and long waves). The RQI has been calibrated to relate with the human perception of ride. The RQI scale starts at zero for a perfectly smooth pavement and increases (without bound) as the pavement gets rougher. Higher RQI implies lower ride quality. The RQI scale is subdivided into various categories as shown in Table 3.3. 38 Table 3.3 - Ride Quality Categories RQI Ride Quality Categories 0 to 30 Excellent 31 to 54 Good 55 to 70 Fair >70 Poor 3.4 Rut Depth Pavement rutting is also collected by the MDOT. The average rut depth for each 0.1-mile section is calculated and stored in the data bank. Unfortunately rut depth will not be used in the analysis since the MDOT database has only two years of data for this performance measure (1998 and 1999). 3.5 Friction Data Pavement friction data are collected as requested by the different regions. The friction data are then kept in that region. Friction data will not be used in the analysis. 3.6 MDOT’s Definition of Life Extension According to the MDOT, the life extension from a preventive maintenance treatment is defined as follows: Life Extension = RSLz - RSL] (3.2) Where RSL; is the remaining service life of a pavement section at the time of the preventive maintenance fix and RSL; is the remaining service life of the pavement section after being treated by the preventive maintenance fix. The remaining service life (RSL) of a pavement section at a given time is defined by the MDOT as the time duration for a pavement section to reach the threshold distress index value of fifty. This can be estimated by extrapolation using some performance 39 model with time. The MDOT uses a logistic growth ftmction as their DI performance curve. 40 CHAPTER 4 - EXTRACTION AND DEVELOPMENT OF DATABASE 4.1 Introduction The distress index and ride quality index data were acquired from the MDOT PMS database. The data were given in 0.1-mile increments for each project. A list of preventive maintenance projects was compiled by the PMS group at the MDOT from 1992 to 2001. The projects chosen for this research received a PM action sometime between 1993 and 1996. These years were selected because it would be possible to get some insight as to how the pavement performed prior to the fix and how the pavement performed after the fix. The pavement performance several years after the fix would allow us to compare the life expectancies calculated by the reliability analysis with current MDOT’S life extension estimates for different preventive maintenance fixes. 4.2 Extraction of Data The different projects were grouped according to fix type: 1) Non-Structural Bituminous Overlay; 2) Surface Milling and Non-Structural Bituminous Overlay; 3) Single Chip Seal; 4) Multiple Course Micro-Surface; and 5) Bituminous Crack Seal. Pavements where the D1 or RQI decreased with time were not used in the analysis. The projects where the D1 or RQI decreased with time were excluded because pavements performance should decrease with time, therefore it was assumed that some sort of action was taken to improve the condition of the pavement surface. This analysis looks at pavements that have had only one PM action taken. Also, the DI for pavements that had a subsequent preventive maintenance fix after the initial PM fix were not used because this project looks at the effect of single PM treatments and not multiple fixes. There were 41 not enough data available to look at the effect of applying a mix of PM treatments to pavement surfaces. Figure 4.1 and 4.2 illustrate pie charts with the number of projects used for each fix type for DI and RQI, respectively. D Non-structural bituminous overlay ISurface milling and non- structural bituminous overlay I Single Chip Seal I Multiple Course Micro- surfacing III Bituminous Crack Seal Figure 4.1 - Number of Preventive Maintenance Projects with Distress Index Data El Non-structural bituminous overlay ISurface milling and non- structural bituminous overlay I Single Chip Seal I Multiple Course Micro- surfacing El Bituminous Crack Seal Figure 4.2 - Number of Preventive Maintenance Projects with Ride Quality Index Data 42 The automated PMS data collection at the MDOT originated in 1992. Therefore using projects from 1993 to 1996 would give the pre-existing condition of the pavement as well as the condition one to eight years afier the preventive maintenance fix. Projects from 1997 and later would not provide additional insight into the life expectancy of the preventive maintenance fixes due to the lack of data available after the preventive maintenance action. The first step in the research was to obtain a list of the preventive maintenance fixes that were done from 1992 to 2001. This database included all relevant information including year of preventive maintenance, route number, control section, beginning mile post, ending mile post, job number, cost of activity, and fix type. The data were filtered in order to obtain a set of projects from 1993 to 1996 that have had only one preventive maintenance treatment applied to them. 4.3 Development of Database The next step was to develop a database by extracting the appropriate data from an individual project data file. This was done according to the beginning and ending mile posts. Distress Index and Ride Quality Index data are in separate data files; therefore two separate databases were compiled for each project. The surveyed distress index did not necessarily match up from one survey year to the next and also did not necessarily line up according to the project mileposts. Therefore the data had to be rearranged to correct for this, and a new distress index had to be calculated based upon the actual project limits. This new distress index was formulated based on some assumptions. The first assumption is that the 0.1-mile distress index value is an average value over that 0.1-mile. The second assumption is that the variation of the distress index between measured points 43 is piece-wise linear. This would allow us to use linear interpolation to calculate the distress index at a new point along the project length, as can be seen in the schematic diagram of Figure 4.3. Dlxz D1x3 xz X3 DI' XI Figure 4.3 — Schematic drawing showing the above calculation The equation used is as follows: (x2 ‘x1)X(DIx2 - D1x3) (x2 - x3) 131': D1,, - (4.1) where: DI’=New distress index calculated at a new milepost, DIx2=Distress Index at milepost 2, DIx3=Distress Index at milepost 3, x1= Section Length (at every 0.1 mile), xz=Survey length 2 (at every 0.1 mile), and x3=Survey length 3 (at every 0.1 mile). 44 This calculation was not needed for the ride quality index because the ride quality index was taken at the same point from year to year. 4.4 Compilation of the Data The final step was to determine the DI and RQI values prior to the preventive maintenance fix at year one, year two, year three, year four, year five, year six, year seven, and year eight after the preventive maintenance fix. Determination of the condition of the pavement was calculated by taking the average DI or RQI over 0.1-mile sections within the project length for each survey year. This would allow us to determine if the D1 or RQI increased or decreased from one survey year to the next. If the pre-existing condition was unknown for the year the preventive maintenance was done or decreased down to zero (i.e. the road was surveyed after the preventive maintenance) the DI from the previous year would be used as the pre-existing condition. The future performance of the preventive maintenance fix was calculated by using the DI or RQI at year one, year two, year three, year four, year five, year six, year seven, and year eight after the preventive maintenance fix. For example, if the preventive maintenance action occurred in 1994 and the pavement was surveyed in 1992, 1994, 1996, 1998, and 2000, then one would have the pre-existing condition along with the DI two years afier the fix, four years after the fix, and six years after the fix. 45 CHAPTER 5 - RELIABILITY BASED MODEL AND ANALYSIS 5.1 Introduction The word reliability infers dependability, trustworthiness, and steadiness. The mathematical definition of reliability is the probability that a system will not fail. Therefore, a system is considered reliable until it fails. The reliability value can be calculated as: R=1-Pr(f) (5.1) where Pr(f) is the probability of failure. In the area of pavement performance, the American Association of State Highway and Transportation Officials (AASHTO) defines reliability as “the probability that the pavement system will perform its intended function over its design life and under the conditions (or environment) encountered during operation. . .the probability that any particular type of distress will remain below or within a permissible level. . .during the design life [54].” The term failure in engineering reliability refers to any occurrence of an adverse event such as a column buckling during an earthquake or a pavement that is distressed beyond a threshold value set by a highway agency. In this research study, the limiting value for probability of failure is given in the MDOT capital preventive maintenance program guidelines, which were described in Chapter 2. The use of reliability analysis stems from the fact that there is uncertainty/variability in the distresses, climate, construction, structural capacity, etc. 46 5.2 Reliability-Based Model According to Pendleton, reliability-based models contain three sources of variability [53]: o Variability in the output variables, 0 Variability in the input variables, and o Uncertainty in the model. Figure 5.1 is a schematic diagram showing a general reliability modeling process. The input side of the model may consist of known equations developed through mechanics or physical laws of nature. The input model may also include a hypothesized probability or model or it could be totally unknown in which nothing is known about the mathematical model or the input variables. Whatever model a researcher chooses to use, one must always realize that there is some error in the modeling process. The goal is to determine what kind of inputs will produce the lowest amount of error and thus give reliable outputs [53]. Output Input Error Figure 5.1 - Schematic Showing the Reliability Model (Pendleton, 1994) In order to explain the developed model, pavements that have been treated with different preventive maintenance fixes will be used. Basically, an examination of how the various treatments perform based on the distress index (DI) and ride quality index (RQI) growth over time will be done. Some sources of variability include: traffic, 47 environment, subgrade, pavement thickness, pre-existing condition, drainage, construction and material variability within fix types. For the most part, traffic (i.e. equivalent Single axle loads, ESAL’s) is less variable than the other variables since the preventive maintenance fixes are used mainly on low volume roads. One more source of variability is in calculating the DI since individual interpretation of the severity and extent of pavement distresses can vary. The goal is to have enough data where the variability will be minimized for those variables that may lead to an increase in the error. The first step in doing a reliability-based model is the need for a large data set. The larger the data set is, the more defined the distribution becomes. In this research, the data used were obtained from the MDOT pavement management system (PMS). The MDOT uses four pavement performance parameters: Distress index, ride quality index, rut depth, and friction. This research project Specifically looks at the distress index and ride quality index on pavements that have had a preventive maintenance activity done during the period from 1993 to 1996. The MDOT has distress index data from 1992 to 2001 and ride quality index data from 1992-1999. This will allow the examination of the pre—existing condition to see if it has a significant effect on future pavement condition. It will also provide up to eight years worth of performance data afier the treatment. Step two is to separate the projects into different preventive maintenance fix types so their effectiveness can be evaluated separately. The distress index and ride quality index for different years after the fix are used to monitor the performance of the fix. The distress index and ride quality index prior to the treatment are used to look at the effect of pavement condition prior to the fix on pavement performance after the fix. 48 Step three is to plot probability distributions of D1 for each year after the treatment for each fix type. Frequency distributions of DI for each year after the treatment were plotted using the actual data. The reliability can then be calculated based on the MDOT’S preventive maintenance guidelines. These distributions can be seen in Appendix A. Figure 5.2 is an example showing how the reliability is calculated graphically. The reliability based on a D1 threshold of forty (40) is the area under the curve to the left of the limiting value. DI Threshold] 1 0 10 20 30 40 50 60 70 80 90 100110120 I DIAROI'PMatt. Figure 5.2 - Example Calculation for Reliability Analysis The final step is to calculate the reliability for each year after the treatment. A table can then be produced showing the reliability values for each fix type at different years after the treatment. This will allow an engineer to estimate the life expectancy of a given fix using an acceptable reliability level. For example, the AASHTO recommends different reliability levels depending on the type of road and traffic volume, as shown in Table 5.1. 49 Table 5.1 - Suggested Levels of Reliability for Various Functional Classifications (AASHTO, 1986) Recommended level Functional classification of reliability (%) Urban Rural Interstate and other freeways 85-999 80-999 Principal arterials 80-99 75-95 Collectors 80-95 75-95 Local 50-80 50-80 5.3 Reliability Analysis The projects that were selected for the analysis were those preventive maintenance projects that were completed in 1993, 1994, 1995, and 1996. All the information (e. g. control section, project mileposts, and fix type) was given by MDOT so the appropriate project could be selected for the analysis. As described in Chapter 3, performance data in the form of D1 and RQI values were available at 2-year intervals for 0.1-mile pavement sections. The preventive maintenance fixes that were looked at included: Non-structural bituminous overlay, surface milling and non-structural bituminous overlay, single chip seal, multiple micro-surfacing, and bituminous crack treatment. A reliability analysis was performed on each fix type in order to determine the life expectancy for each treatment. Frequency distributions of D1 at different years after the preventive maintenance activity were plotted for each fix type. Based on the actual distributions of D1 values, the reliability was calculated as the number of the sections that have distress indices that are less than the DI guideline value divided by the total number Of sections surveyed for that year. Table 5.2 shows the number of data points 50 corresponding to 0.1-mile pavement sections for each fix type at different years after the preventive maintenance activity. Table 5.2 - Number of Data Points for Each Fix Type Time After PM Fix Year Year Year Year Year Year Year Year Fix Type 1 2 3 4 5 6 7 8 Bituminous Overlay 945 1261 879 862 439 344 159 105 Mill & Fill 210 566 169 407 88 17 9 0 Chip Seal 1775 1276 1312 823 1269 559 306 0 Micro-Surface 1015 1363 913 976 742 539 1 1 1 0 Crack Seal 1877 2596 1360 2472 1370 1094 628 83 5.4 Two-Sample t-test for Significance Knowing when to apply the preventive maintenance activity is critical for a pavement management team. If the treatment is applied too early, its effect on pavement performance may not be as beneficial. On the other hand, if it is applied too late, the fix will not last as long, thus reducing the economic benefit. Therefore there is a need for evaluating the guideline limits at which a preventive maintenance fix should be applied. In order to accomplish this, a two sample t-test was used on two populations: 0 Population One: Those pavements whose pavement performance parameter was less than the limiting value at the time of the preventive maintenance activity. 0 Population Two: Those pavements whose pavement performance parameter was greater than the limiting value at the time of the preventive maintenance activity. The goal of the two sample t-test is to compare the response in two groups assuming that the response in each group is independent of that in the other group. In 51 order to use the t-test on sample sizes that are not equal, the data should be approximately normally distributed and meet the following criteria for sample size populations [27]: 0 Sum of Sample Sizes is less than 15: Use t-test only when the data is normally distributed. If the data is clearly non-normal or outliers are present, do not use this statistical test. 0 Sum of Sample Sizes is greater than 15 and less than 40: t-test can be used except when there are strong outliers or strong skewness. 0 Sum of Sample Sizes greater than or equal to 40: t-test can be used even for distributions that are skewed. 5.4.1 Pavement Condition Using Distress Index (DI) A two sample t-test was conducted in order to evaluate the DI guidelines that the MDOT imposes for the different preventive maintenance fixes. Under consideration will be the mean distress index for two populations: 0 Population One: DI values less than or equal to the DI guideline values at the time of the preventive maintenance activity. 0 Population Two: DI values greater than the guideline values at the time of the preventive maintenance activity. For each treatment, mean distress indices at subsequent years were analyzed using this method. Below are the formulated null and alternative hypotheses: 0 Ho: Mean DI at time (ti) of population one equals mean DI at time (ti) of population 2 or 0 HA: Mean DI at time (ti) of population one does not equal mean DI at time (ti) of population 2. 52 The next step is to select the appropriate level of significance (1 -oc). An alpha value (or) of five percent (5%) was chosen in this case, which corresponds to a 95% level of significance. This level of significance is the most common one used in statistics. This value is then compared with the computed p-value from the t-test. If the computed p-value is less than the level of significance we then state that the data is significant at that level (l-a). The smaller the p-value, the stronger evidence against the null hypothesis is provided by the data. One can either accept or reject the null hypothesis based on comparing the computed estimate of the test statistic with the test statistic (from the p-value) estimated by the degrees of freedom and level of significance. If the computed value lies within the region of rejection defined by the alternative hypothesis (the critical value) then the null hypothesis is rejected. The distributions for each fix type and year after the preventive maintenance activity are given in Appendix B along with the population sample size. 5.4.2 Pavement Condition Using Ride Quality Index (RQI) A two sample t-test was conducted in order to determine the relevance of the RQI guideline values that the MDOT imposes for the different preventive maintenance fixes. Under consideration will be the mean distress indices at subsequent years for two populations: 0 Population One: RQI values less than or equal to the RQI guideline values at the time of the preventive maintenance activity. 0 Population Two: RQI values greater than the guideline values at the time of the preventive maintenance activity. 53 For each treatment, mean distress indices at subsequent years were analyzed using this method. Below are the formulated null and alternative hypotheses: 0 Ho: Mean DI at time (ti) of population one equals mean DI at time (ti) of population 2 or 0 HA: Mean DI at time (ti) of population one does not equal mean DI at time (t;) of population 2. The distributions for each fix type and year after the preventive maintenance activity are given in Appendix C along with the population sample size. 54 CHAPTER 6 - RESULTS 6.1 Introduction A reliability analysis was performed using distress index (DI) data in order to determine the life expectancy for the various preventive maintenance treatments. For each fix type, distributions of DI of 0.1-mile sections were generated for various years following the preventive maintenance. For a given year, the reliability was calculated as the number of sections with distress indices that are less than the guideline value divided by the total number of sections for that year. The same procedure was done for subsequent years (i.e. one year after the PM action, two years after the PM action, etc.) 6.2 Determination of Life Expectancy of the Various PM Fixes The life expectancy of a given fix is the time (in years) it takes for a pavement section that was subjected to the fix to reach a limiting DI value. The life expectancy for each fix type was determined by plotting the distributions of D1 values at subsequent years afier the fix and calculating the area under the curve to the lefi of the DI guideline value. The reliability values were then plotted over time; a quadratic function was fitted to the data points; and the 95% confidence intervals over the mean values were then plotted. From these graphs, tables can be developed for each treatment showing the reliability, plus or minus some error 11 years after the initial treatment. It should be noted that the life expectancy of a fix as defined above is different from the life extension provided by the fix as defined by the MDOT. The definition of MDOT’S life extension is provided in Chapter 3. 55 In order to check the validity of reliability values, the average distress index for each fix type was plotted over time. Because the analyzed pavement sections had only one preventive maintenance treatment applied to them, the distress index is expected to grow over time. Figure 6.lshows that the distress index for crack seal, micro-surface, mill & fill, and bituminous overlay increase with time except for year six and year seven. The distress index for chip seal for the most part increases with time, but has some variability which could be due to a number of factors. Given that these values represent the average over multiple pavement sections, and that the general trend is upward, it can be inferred that the data are reasonable for further analysis. 100’ . ICreck Seal 90' IMicro-Surface 80 0 Chip Seal 23 n Mill 3. Fill Average DI After 50 lIBituminous Overlay PM 40 30 20 _ B. . 10 Militgrglilious Overlay 0 a Chip Seal Micro-Surface 3 4 5 6 Crack Seal FIX Type 7 Time (Years) 8 Figure 6.1 — Average DI after Preventive Maintenance versus Time 56 6.2.1 Non-Structural Bituminous Overlay Figure 6.2 and Figure 6.3 show the reliability of the non-structural bituminous overlay versus time based on the PM guidelines and rehabilitation threshold, respectively. Figure 6.2 shows that the reliability is relatively constant up to year three and then starts to drop at a faster rate yet the reliability is still rather high at year six (78%). This agrees reasonably well with the MDOT’s preventive maintenance guidelines, which state that the life extension for a non-structural bituminous overlay is five to ten years. Therefore one would not expect to see a very distressed pavement from year one to year five. Figure 6.3 shows that reliability based on the rehabilitation threshold over time is quite high up to year six (90%). Both of these figures show a small amount of variability around the mean value. Figure 6.2 will allow a highway agency to plan a preventive maintenance program for a pavement section when a pavement section gets close to the end of the preventive maintenance cycle than the reliability based on the rehabilitation threshold (Figure 6.3) can be used. 57 Reliability .3 .2: .1 I 0.0 qu = 0.6811 _LI NI #1 CI 0) 5 Time (Years) Figure 6.2 - Non-Structural Bituminous Overlay Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) Reliability .40 1 .20 r .10 I 0.00 qu = 0.5833 O dbl 3 #1 on 0) Time (Years) Figure 6.3 - Non-Structural Bituminous Overlay Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) 58 6.2.2. Surface Milling with a Non-Structural Bituminous Overlay Figure 6.4 and Figure 6.5 Show the reliability of surface milling with a non- structural bituminous overlay treatment versus time based on the PM guidelines and rehabilitation threshold, respectively. The reliability is close to 100% for the first four years for both figures and the variability around the mean values is quite small. One would expect this since the MDOT life extension is from five to ten years. Therefore one would not expect to see a pavement that is very distressed from year one to year four since this treatment mills off the existing surface and a new bituminous overlay is placed to correct the existing distresses. 1.10 LOOP " CI I: .90 . .80 I .70 'l .601 Reliability .30- .204 .10 I 0.00 _ _ qu = 0.3333 0 1 2 one A Time (Years) Figure 6.4 — Surface Milling with a Non-Structural Bituminous Overlay Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) 59 1.200 1.100'I 1.0mm .900ll .800I .7001 .600-l Reliability .400 I .300 u .200 r .100 I 0.000 qu = 0.3333 fi T 0 i 2 3 4 Time (Years) Figure 6.5 — Surface Milling with a Non-Structural Bituminous Overlay Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) 6.2.3. Single Chip Seal Figure 6.6 and Figure 6.7 show the reliability of the single chip seal treatment versus time based on the PM guidelines and rehabilitation threshold respectively. Figure 6.6 shows that there is quite a bit of variability around the mean reliability values. The overall trend for the mean values is to decrease with time with the rate of deterioration increasing afier year three. Figure 6.7 shows the reliability over time based on the rehabilitation threshold. The variability around the mean value decreases with the overall trend showing that the reliability decreases with time. For a given year, the reliability value based on the rehabilitation threshold is higher than that from the preventive maintenance guideline, since the PM value is much more restrictive than the rehabilitation threshold. The results indicate that single chip seals have a reliability of 60 about 80% after three years and about 60% after six years (21:20%). The reliability values increase to about 90% after three years and about 70% afier six years (:l:10%) when the rehabilitation threshold is used. This agrees reasonably well with the MDOT’S preventive maintenance guidelines, which state that the expected life extension is three to six years. 1.2 1.1ll 1.00 .9' D .81 .7- .61 Reliability .5I .4! .3- .21 .11 0.0 - _ qu = 0.5307 0 1 2 3 A: OH 0: Time (Years) Figure 6.6 — Single Chip Seal Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) 1.2 1.1'l 1.0‘I Reliability .5- .41 .31 .21 .11 0.0 f i - qu = 0.7470 0 1 2 3 AI 01: CD Time (Years) Figure 6.7 — Single Chip Seal Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) 6.2.4. Multiple Course Micro-Surfacing Figure 6.8 and Figure 6.9 Show the reliability of the multiple course micro- surfacing treatment versus time based on the PM guidelines and rehabilitation threshold respectively. Both figures show the reliability over time decreasing at a slightly increasing rate with time. Also, the variability around the mean value is quite small. The results indicate that multiple course micro-surfacing have a reliability of about 80% after four years and about 65% after six years (i5%). The reliability values increase to about 85% after four years and about 75% after six years (15%) when the rehabilitation threshold is used. This agrees reasonably well with the MDOT’s preventive maintenance guidelines, which state that the expected life extension is four to six years. 62 Reliability .0 ' qu = 0.9375 3 C All N1 #1 OH 0) Time (Years) Figure 6.8 — Multiple Course Micro-Surfacing Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) 1.2 1.1' 1.0‘ .9' o .81 .71 .6I Reliability .5I .4- .31 .21 .1 1 0.0 qu = 0.8582 - i i 0 1 2 3 .51 011 O) Time (Years) Figure 6.9 — Multiple Course Micro-Surfacing Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) 63 6.2.5. Bituminous Crack Seal Figure 6.10 and Figure 6.10 Show the reliability of the bituminous crack treatment versus time based on the PM guidelines and rehabilitation threshold, respectively. Figure 6.10 shows that the reliability based on the preventive maintenance guideline decreases steadily with time, dropping to 80% after one year, 65% after two years, and 55% after three years (:ES%). On the other hand, the reliability based on the rehabilitation threshold remains above 90% after four years, then starts dropping Sharply after five years. The large discrepancy in the reliability values corresponding to the preventive maintenance and rehabilitation thresholds is mainly due to the fact that the distress points assigned to sealed cracks are about half of those for unsealed cracks. The limiting value based on preventive maintenance appears to be too restrictive. This agrees reasonably well with the MDOT’s preventive maintenance guidelines, which state that the expected life extension of bituminous crack seals is up to three years. 64 1.2 Reliability 0.0 _ ' ' qu = 0.9615 0 1 2 3 4 011 OH \I Time (Years) Figure 6.10 — Bituminous Crack Sealing Reliability versus Time Based on the PM Guidelines (95% Confidence Interval) 1.2 1.1‘ 1.0'I 33x .61 Reliability .5-l .4- .31 .21 .11 0.0 _ _ qu = 0.9412 0 1 3 4 NI OH (”I N Time (Years) Figure 6.11 - Bituminous Crack Sealing Reliability versus Time Based on the Rehabilitation Threshold (95% Confidence Interval) 65 6.2.6. Overall Comparison Table 6.1 is a first estimate of the reliability values corresponding to the different life expectancies for each preventive maintenance fix. Table 6.2 provides a summary of the reliability values of the life expectancies. The DI guidelines for preventive maintenance were used for detennining these reliability values since the MDOT uses them for initiating preventive maintenance actions. The results indicate that the guidelines are reasonable. Table 6.3 provides a summary of reliability values of the life expectancies based on the rehabilitation threshold. Both of these tables will allow a highway agency to select the appropriate fix depending on the life expectancy that they are looking for along with the variability associated with certain fixes. The reliability values based on the rehabilitation threshold can be used when certain preventive maintenance projects are towards the end of their life-cycle and a rehabilitation project is planned for the future. 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NE a: HOG—Z 2:86 a: s: 082 2.5 3:35 88380 $3 82025 2.: “.892 8 880 35 35> 50 35333 .23 00 8232...: 3350mm - N0 222 68 0N6 03:80 2080 .«0 003003 0300230 8 Z ”<\Z~ $2: 00088 8580 3:30:00 0.: ”0007: $fi$ $3: $32 $38 $003 $2": $302 meg: new 08.6 N$2 $9"? $3; $9§ $38 $$3 $33 3 8050-8sz N$2 $235 $206” $2an $208 $203 $Sur0m 0-». new 020 N32 "<2 N.32 $32 $32: $32 $18. own 5002:: 32 $38 $33 $33 $38 $m+.oo_ $380 oi. Smufim 9.836 b 0 m a m N 0 5:535. 25‘ NE a: son: A2306 5,.— 20 .35.. 2:; @235 85380 $30 2285 85:30:00 5002 8 830 85 msofi> :0 %“$825 a: 00 305023 0250mm u 3 2E 69 6.3 Evaluation of the Guideline Values for the Treatment Types Most preventive maintenance engineers agree that the timing of the preventive maintenance treatment is very critical. If a treatment is applied to very distressed pavements then the treatment will not give the pavement the added benefit it needs. If a treatment is applied too soon, then money is being poorly spent on a pavement that really does not need the maintenance. Therefore there is a real need to evaluate the guideline values at which a given preventive maintenance fix should be applied so that the life extension of the pavement is maximized while minimizing the cost to the highway agency. This section will look at the effect of applying a treatment to a pavement that has a distress index that is lower than the preventive maintenance guideline value compared with applying it when the distress index is greater than the preventive maintenance guideline value. Two approaches will be looked at: (1) two sample t-test, and (2) reliability analysis. 6.3.1 Two-Sample t-test Approach A two sample t-test was conducted in order to evaluate the DI guidelines that the MDOT imposes for the different preventive maintenance fixes. Under consideration will be the mean distress indices for two populations: 0 Population One: DI values less than or equal to the DI guideline values at the time of the preventive maintenance activity. 0 Population Two: DI values greater than the guideline values at the time of the preventive maintenance activity. 70 The mean distress indices at subsequent years for each preventive maintenance treatment were analyzed using the hypotheses formulated below: 0 Ho: Mean DI at time (ti) of population one equals mean DI at time (ti) of population 2, or 0 HA: Mean DI at time (ti) of population one does not equal mean DI at time (ti) of population 2. The next step is to select the appropriate level of significance (l-a). An alpha value (on) of five percent (5%) was chosen in this case, which corresponds to a 95% level of significance. The results are summarized in Table 6.4. 6.3.1.1 Non-Structural Bituminous Overlay The PM guideline for a non-structural bituminous overlay calls for a D1 value less than forty (<40). The first three years of extended life for a non-structural bituminous overlay are relatively insignificant since the expected life extension according to the MDOT is from five to ten years. The results of the two sample t-test for this treatment can be seen in Table 6.4. The p-values from year five to year six are below the 5% significance level and the mean DI for population two is significantly higher than that of population one for these years. This analysis reasonably confirms that the MDOT guideline value for a non-structural bituminous overlay (DI<40) is valid. Data in year eight and beyond has a very limited population and thus analysis was not done for these years. 71 6.3.1.2 Surface Milling with a Non-Structural Bituminous Overlay The PM guideline for surface milling with a non-structural bitmninous overlay calls for a DI value less than forty (<40). The results of the two sample t-test for this treatment can be seen in Table 6.4. These results show that no statement can be made about the guideline value at this time since the difference in the mean DI values for both populations is not statistically different. The results are therefore inconclusive, and more performance data for later years are needed. 6.3.1.3 Single Chip Seal The PM guideline for single chip seal calls for a D1 value less than twenty-five (<25). The results of the two sample t-test for this treatment can be seen in Table 6.4. The p-values from year one to year six are below the 5% significance level, except for year seven (p-value=0.77). This anomaly can be ignored since the anticipated life extension for a single chip seal according to the MDOT is three to five years. Therefore one would not expect this treatment to last seven years. The mean values of DI after the fix are statistically different, with those from population one being lower than those from population two. This analysis confirms that the MDOT guideline value for a single chip seal (DI<25) is reasonable. Year seven was ignored due to the fact that only two projects had DI data seven years after the treatment. 6.3.1.4 Multiple Course Micro-Surfacing The PM guideline for multiple course micro-surfacing calls for a D1 value less than thirty (<30). The results of the two sample t-test for this treatment can be seen in Table 6.4. The p-values from year one to year six are below the 5% significance level, 72 suggesting that the means of population one and two are statistically different, with those for population one being lower than those for population two, at all years. This analysis confirms that the MDOT threshold for a multiple course micro-surfacing (DI<30) is valid. 6.3.1.5 Bituminous Crack Seal The PM guideline for bituminous crack sealing calls for a D1 value less than fifteen (<15). The results of the two sample t-test for this treatment can be seen in Table 6.4. The p-values from year one to year six are below the 5% significance level, with the mean DI values for population two being clearly higher than those from population one. The p-value for year seven is higher (0.69). This can be ignored since the anticipated life extension for a bituminous crack seal according to the MDOT is up to three years only. Therefore one would not expect this treatment to last six to seven years. This analysis confirms that the MDOT guideline value for a bituminous crack seal (DI<15) is reasonable. 73 E mam: 338m as-“ 038mm 25 1 to 2.5 55 ~83. . o o o o o 85¢ 2 .v- N .5. m5- .2- a. s- v .x gem; :3. a.» new 3N VS Md. ”3 9% 3m 5.: as 2d ”am as >8 .3 8+ 86 5a SN gm ”.2 m: 8.5 Nam w: 5.2 NE EN _.2 5...: sum 35 mm % a. 8m 02 ”mm 5 a mom .5 as mm. 5 9% z .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 H32 28mm co¢< 20.3m— 5¢< 280m 3¢< 280m 8% 280m $¢< 28cm St< Beam Born Eo>c Eo>m Eo>v §o>m Eo>m 58>. m8 one who 86 Ed 9o 83¢ a: as ”No- :5 2a N2 35 2+ a: Sm 3m 3: m; w am one Rs a; 3m >5 ém N3 5 gm 2:. we $2 :2 Re 3 2 a2 ME :82 E a a: a N _ _ m S mom 8 on 5 OS an t. z .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 noc< 280m n32 280m $¢< oaomom ho¢< ohomom coc< 880m cot/x 88cm 53?. vacuum Eo>n Eo>m $0er 30>m So>m 30>— md «.85 . o Sod @5 ~85 c 85-; :g- am- m3. m2- 2.“- gm ”8- 5.25 am Ea :_ SN 3: was we SN 3m NE a: 2: 8+ 3:. >8 .3 E55 SN v3 5 a: 0.8 8.” EN 2 mg a: ma 2: an and :82 255525 La 3 _ _ : _ 2 5 5H 5 we 5 5 5 a _ 8m .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 5c< 280m new? 280m noc< 280m coc< Baum Hot/x 280m Bases 280m coa< 280m Eo>w Eo>o Eo>m 58>v Eo>m “moxrm “mo>_ 2*»th E 2; ER 25 74 .xh 55 mmo. mos—«>5 88:2: 260 woumnm. $5 58.0 We a, c c , . c 35¢ :5- 3. mm? .28. W5. 9.2- 5.“. .55 SN m: N8 9% EN _.: we. 2: we we SN a: ”.3 Rd so .3 m8 2% 3m 3m 5m 3m 2m v.2 5 2: 5m «:2 EN Va: 502 sum #86 mm 5 a 5 ow v8 5 :2 5 oz 5 28 a: 98 z .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 uo¢< Bowen uo¢< 280m— uo¢< vacuum uo¢< chomom uo¢< Begum uo¢< vuomom u0¢< 20.3mm Horn ufi0>© ao>m 30>? umo>m umo>N 30>— Scod 585 c o o . , o 35¢ 2.- mi... 5.8. $2- ta. 2- .55 N: Sm Sm EN 5 _.2 3m 2 E. a.” 9m. .3 >5 .3 Beam 2: Em a 3: mm m: «.5 2 EN 2: Em 5.2 :82 -222 a? E. M: 3m :2 as a. OS 5. so 8 5 z . .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .5 uo¢< 280m uo¢< Ouomom u0d< vuomom— uo¢< 280m uo¢< 280m uo¢< 0.5me uu¢< 280m 30> c 30> m 30> v .50? m 30> N 53> _ 09:. XE x: 5 he? 25 @3580an HQ wfimb 338% 58; 038mm 03,—. I v.0 033. 75 6.3.2. Reliability Approach A reliability approach was also done using the same concept of having two populations and looking at how the distress index changes over time. Distributions were plotted for the two populations and at a specified point in time (i.e. 1 year, 2 years, etc. after the preventive maintenance activity). This will show the performance of the pavement when the treatment is applied correctly and when it is applied incorrectly according to the distress index criteria. The results are summarized in Table 6.5, and are discussed below. The life expectancy of a given fix type for the two populations was determined by plotting reliability versus time, fitting a quadratic function to the data points, and then plotting the 95% confidence intervals over the mean values. The figures can be used to determine the reliability in performance when a treatment is applied before or after the guideline values. 6.3.2.1 Non-Structural Bituminous Overlay Reliability values for this treatment type along with the average distress index before the preventive maintenance treatment was applied are shown in Table 6.5 for both populations. The shaded cells indicate very small sample sizes and should therefore be ignored. Figure 6.12 and Figure 6.13 show a graph of reliability versus time for the two populations. The results show that while the reliability values for population two are slightly lower than those of population one, and this difference increases with time, the difference is too small to make any statement on the guideline value. No conclusions can be drawn about the guideline value since the reliability level is still high for both populations to 76 make a firm statement about the guideline value (DI<40). Future performance data are needed in order evaluate the guideline value afier five years or more. 1.2 1.1¢ 1.0a Reliability 1 i 5 Time (Years) #- (”I qu = 0.7185 Figure 6.12 — Reliability of Life Expectancy for Non-Structural Bituminous Overlay When PM is done before the DI Guideline Value 77 Reliability 0.0 _ j ESQ = 0.5031 2 3 O A: #1 0! Time (Years) Figure 6.13 — Reliability of Life Expectancy for Non-Structural Bituminous Overlay When PM is done after the DI Guideline Value 6.3.2.2 Surface Milling with a Non-Structural Bituminous Overlay The reliability values for this treatment type along with the average distress index before the preventive maintenance treatment was applied are shown in Table 6.5 for both populations. Figure 6.14 and Figure 6. i 5 show a graph of reliability versus time for the two populations. The sample sizes for year three and later are too small to make any inferences. For the first two years, the reliability values for both populations are practically identical; this is expected since it would be too early for this fix type to show any signs of serious distress. Therefore, no conclusions can be drawn about the validity of the guideline value (DI<40) for surface milling with non-structural bituminous overlay. 78 1.10‘ .0017 .90‘ .80' .70 I .601 .50ll Reliability .40!I .30- .20 I .10 I 0.00 l3 qu = 0.4857 2 3 4 Time (Years) Figure 6.14 — Reliability of Life Expectancy for Surface Milling with a Non-Structural Bituminous Overlay When PM is done before the DI Guideline Value 1.10 1.00' .90‘ .801 .70 I .60! .50- Reliability .40lI .30- .20 I .10 I 0.00 0.0 ”0,1 I I' 1.0 1.5 2.0 Time (Years) Figure 6.15 - Reliability of Life Expectancy for Surface Milling with a Non-Structural Bituminous Overlay When PM is done after the DI Guideline Value 79 6.3.2.3 Single Chip Seal The reliability values for this treatment type along with the average distress index before the preventive maintenance treatment was applied are presented in Table 6.5 for both populations. Figure 6.16 and Figure 6.17 show a graph of reliability versus time for the two populations. The results clearly show that the reliability values for population one are higher than those for population two, with the difference increasing with time. Therefore this method reasonably confirms that the MDOT guideline value (DI<25) for single chip seal is valid. 1.2 1.1I 1.01) 0 .9‘ o .81 /0—\ .7i Reliability 9 .0 - qu = 0.3726 3 O —u N #1 O'l 0) Time (Years) Figure 6.16 — Reliability of Life Expectancy for Single Chip Seal When PM is done before the DI Guideline Value 80 Reliability 0.0 . qu = 0.5831 0 1 2 3 #1 ON a: Time (Years) Figure 6.17 — Reliability of Life Expectancy for Single Chip Seal When PM is done after the DI Guideline Value 6.3.2.4 Multiple Course Micro-Surfacing The reliability values for this treatment type along with the average distress index before the preventive maintenance treatment was applied are presented in Table 6.5 for both populations. Figure 6.18 and Figure 6.19 show a graph of reliability versus time for the two populations. Despite the small sample sizes in population two for most of the years, the results clearly show that the reliability values for population two are significantly lower than those of population one. Therefore this method confirms that the MDOT guideline value (DI<30) for a multiple course micro-surfacing is reasonable. 81 Reliability .5 d .4 - .3 ll .2 I .1 l .0 _ _ r _ qu = 0.9028 0 1 2 3 4 5 6 Time (Years) Figure 6.18 — Reliability of Life Expectancy for Multiple Course Micro-Surface When PM is done before the DI Guideline Value 1.00 .90 " .80 ‘ .70 l .60 I .50- Reliability .40 I .30 'l .20 1 .10 I m 0.00 _ - _ 0.0 1.0 2.0 3.0 4.0 Time (Years) Figure 6.19 — Reliability of Life Expectancy for Multiple Course Micro-Surface When PM is done afier the DI Guideline Value 82 6.3.2.5 Bituminous Crack Seal The reliability values for this treatment type along with the average distress index before the preventive maintenance treatment was applied are shown in Table 6.5 for both populations. Figure 6.20 and Figure 6.21 show a graph of reliability versus time for the two populations. The results show clearly that for year one to year five there is a significant difference in the reliability values when performing the treatment before the guideline value then when doing it after the guideline value. Therefore this method reasonably confirms that the MDOT guideline value (DI<15) for a bituminous crack seal is valid. Reliability qu = 0.8902 0 AI MI 011 O)! \l 5 5 Time (Years) Figure 6.20 — Reliability of Life Expectancy for Bituminous Crack Seal When PM is done before the DI Guideline Value 83 1.1 1.0' Reliability U 0.0 qu = 0.9525 Time (Years) 0 in ”1 co .5 01 m w Figure 6.21 - Reliability of Life Expectancy for Bituminous Crack Seal When PM is done afier the DI Guideline Value 84 BR 038mm :95. 88:65 303 E cocmnm “802 <\Z $m $om $2 $3 $2 $8 $3 NNN m _A How x85 32 $5 $mm $3 $3 $3 $3 $2. vw m To $2 ,..,.$0 .. $3 . .$2 $2 $5 $3 , $3 Dov. omA ll 083m .32 $o3.....m.. $5 $3 $3 $3 $3 $3 9w omé -832 $2 $o3...n $2 $8 $3 $mm $R $wm 52. RA Rom QED $2 $3 ., $8 $wn $2: $3 $3 $3. ad 36 . $2 $63 $2 $3 $03 . $2: $3 $2: ode OVA . :5 a. 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A two sample t-test was conducted on the mean distress indices for two populations: 0 Population One: RQI values less than or equal to the RQI guideline value at the time of the preventive maintenance activity. 0 Population Two: RQI values greater than the guideline value at the time of the preventive maintenance activity. The mean distress indices at subsequent years for each preventive maintenance treatment were analyzed using the hypotheses formulated below: 0 H0: Mean DI at time (ti) of population one equals mean DI at time (ti) of population 2, or 0 HA: Mean DI at time (t;) of population one does not equal mean DI at time (ti) of population 2. The next step was to select the appropriate level of significance (l-a). An alpha value (a) of five percent (5%) was chosen in this case, which corresponds to a 95% level of significance. 86 6.4.1 Non-Structural Bituminous Overlay The results of the two sample t-test shown in Table 6.6 indicate that the p-values are all greater than the 5% level of significance except for year four. This implies that the difference in the mean DI after the fix of both populations is not statistically significant. Therefore the results seem to indicate that the RQI value at the time of the fix does not seem to affect the future DI values (at least up to five or six years). This is expected since overlaying a pavement will smoothen its surface so that roughness is minimized afier overlaying. The anomaly seen at year four where the p-value is less than the 5% level of significance could be explained by the fact that the ROI threshold (>70) being very high may reflect serious problems in the pavement foundation layers. In that case, overlaying with a thin, non-structural layer may not solve the root cause of the pavement distress. 6.4.2 Surface Milling with a Non-Structural Bituminous Overlay The results of the two sample t-test shown in Table 6.6 indicate that the p-values are all greater than the 5% level of significance except for year five. This implies that the difference in the mean DI after the fix of both populations is not statistically significant. These results indicate that the RQI value at the time of the fix does not seem to affect the future DI values. Again, this is expected since this fix involves milling the pavement surface, and then overlaying the pavement, thus minimizing surface roughness. The anomaly seen at year five where the p-value is less than the 5% level of significance can be attributed to the fact that a high RQI value (>70) may be indicative of more serious foundation problems that can not be fixed by a mill and fill treatment. 87 6.4.3 Single Chip Seal The results of the two sample t-test shown in Table 6.6 indicate that the p-values are below the 5% level of significance. However, the mean DI values are higher for population two only after four years or more. Year six show a p-value above the 5% level of significance. However the data for year six may be ignored because of small sample size of pavements with RQI values higher than the guideline value. Therefore the results seem to indicate some effect of the RQI guideline value (>54) at later years, but they are not as conclusive as those for the DI guideline value. 6.4.4 Multiple Course Micro-Surfacing The results of the two sample t-test shown in Table 6.6 indicate that the p-values are variable from year to year. Years one, three, and five have a p-value higher than the 5% level of significance while years two, four, and six have p-values lower than the 5% level of significance with the mean DI value for population two being higher than those for population one. Therefore the results are inconclusive, and more data are needed to confirm or disprove the hypothesis that the RQI level at the time of applying a multiple course micro-surfacing will affect the future performance of the pavement after the fix. 6.4.5 Bituminous Crack Seal The results of the two sample t-test shown in Table 6.6 indicate that while the p- values are lower than 5%, the mean DI values for population one are higher than those of population two for years four and seven. 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N 53> — ogflh X—nm 0: 20 he? 0:5 90 CHAPTER 7 - SUMMARY OF FINDINGS AND RECOMMENDATIONS 7.1 Summary of Findings The research objective was to use the wealth of PMS performance data collected on 240 preventive maintenance (PM) projects since 1992 to perform a reliability-based analysis for the purpose of determining the life expectancy and evaluation of the guideline values for the different PM fixes. These are: (l) Non-structural bituminous overlay, (2) surface milling with a non-structural bituminous overlay, (3) single chip seal, (4) multiple course micro-surfacing, and (5) bituminous crack seal. The pavement performance parameters that MDOT collects are distress index (DI), ride quality index (RQI), and rut depth. There were insufficient rut data to perform the analysis, therefore only DI and RQI data were used. 0 Determination of the Life Expectancy for PM Fixes Using D1 The life expectancy was determined by plotting distributions of the distress index at subsequent years after the preventive maintenance activity. The reliability was then calculated as the area under the curve to the left of the MDOT guideline value. The results were summarized in tables showing reliability values that correspond with the different life expectancies for each preventive maintenance fix. The life expectancy values estimated from the reliability-based analysis compare reasonably well with those suggested in MDOT’s preventive maintenance guidelines. The reliability approach suggested in this research can be used as a pavement management tool, provided that the MDOT adopts a minimum level of reliability that would be acceptable before an action is taken. 91 0 Evaluation of Distress Index (DI) Guidelines A two sample t-test was conducted in order to evaluate the DI guidelines that the MDOT imposes for the different preventive maintenance fixes. The mean distress index was determined for two populations: 0 Population One: DI values lower than or equal to the DI guideline values at the time of the preventive maintenance activity. 0 Population Two: DI values greater than the guideline values at the time of the preventive maintenance activity. For each treatment the mean distress indices at subsequent years after applying the fix from both populations were compared. A reliability approach was also done using the same concept of having two populations and looking at how the distress index changes over time. Distributions of the distress index were plotted for the two populations at subsequent years after the preventive maintenance activity. The corresponding reliability values were then compared. Based on the above analysis, the distress index guideline values for a non- structural bituminous overlay (<40), single chip seal (<25), multiple course micro- surfacing (<30), and bituminous crack seal (<15) were found to be reasonable. The results for surface milling with a non-structural bituminous overlay (<40) were inconclusive. This is probably due to the fact that this fix type had the smallest number of projects compared with the other fix types. 92 0 Evaluation of Ride Quality Index (RQI) Guidelines The evaluation of the RQI guidelines was done by looking at the distress index at subsequent years after the fix was applied for two populations: 0 Population One: RQI values less than or equal to the RQI guideline values at the time of the preventive maintenance activity. 0 Population Two: RQI values greater than the guideline values at the time of the preventive maintenance activity. A two sample t-test was then conducted by comparing the mean distress indices at subsequent years after applying the fix from both populations. The results for the non-structural bituminous overlay and surface milling with a non-structural bituminous overlay indicate that the RQI value at the time of the fix does not seem to affect the future DI values (at least up to five or six years for the bituminous overlay and up to four years for the mill and fill). This is expected since overlaying the pavement will smoothen its surface so that roughness is minimized after overlaying. The results for chip sealing indicate that the RQI guideline value of 54 may be warranted at later years. The results for micro-surfacing and bituminous crack seal were inconclusive and more data are needed to confirm or disprove the hypothesis that the RQI level at the time of PM action is taken will affect future performance of the pavement. 93 7.2 Recommendations for Future Research The results of this study have led to the following recommendations: First, additional variables should be investigated. This research studied the distress index before and after the preventive maintenance action. Additional variables to be considered would be: Pavement thickness, pavement age, drainage, construction, materials, and climate. Traffic could possibly be another variable, although, these fixes are applied mainly on low to medium volume roads; it may not be a significant factor except for pavement sections with relatively high traffic levels. Secondly, more data should be used for plotting the distributions and calculating the reliability of life expectancies. Additional projects could be added to those used in this study to increase the database for subsequent years after the initial treatment. This will increase the dependability of the reliability tables developed for fixes such as the bituminous crack seal, single chip seal, and multiple course micro-surfacing. In order to increase the dependability of the reliability tables for the non-structural bituminous overlay and surface milling with a non-structural bituminous overlay, additional data are needed at later yearscto evaluate these treatments from five to ten years. Thirdly, more data are needed for pavements where the pre-existing condition is known for the distress and ride quality indices. Having more data will lead to better results with the two-sample t-test. Also, with the addition of future performance data, more conclusive results could be reached, especially for the validity of the RQI guideline values. 94 Fourth, in order to do a project level analysis, one must look at the types of distresses that predominately occur in preventive maintenance projects and plot distributions of these different distresses over time while tracking the type of fix that is performed. From this analysis one can determine the reliability versus time for particular distresses. Based on some minimum level of reliability one will be able to estimate life expectancy for a given fix type with a particular distress. 9S APPENDICIES 96 APPENDIX A HISTOGRAMS USED TO DETERMINE THE LIFE EXPECTANCY FOR THE FOLLOWING PREVENTIVE MAINTENANCE (PM) TREATMENTS BASED ON THE DISTRESS INDEX (DI) Non-Structural Bituminous Overlay Surface Milling with a Non-Structural Bituminous Overlay Single Chip Seal Multiple Course Micro-Surfacing Bituminous Crack Seal 97 Non-Structural Bituminous Overlay 700 200 5‘ 5 100 Sid.DOV'5.38 g- Moan-3.2 u_ o n-mm a w I I V I? I V V V I f V '0 '0 0.0 qo‘bo fofiofio bofio‘fia fia‘iofio 1 Year after PM Figure A.1 - Histogram of D1 1 Year after PM 1000’ 5‘ 200 g Std. Dov . 20.58 5- Moon I 10.8 u_ o N - 1232.00 a, .,.,..‘3...'.'..- o (be 42, 00%, a,%,%, 9:, afififi, 2 Years after PM Figure A.2 - Histogram of DI 2 Years after PM 98 Frequency 1004 Ski. Dov-8.04 Mom I83 0 N'm.m 00 0’0. Wfié‘t‘b‘fi‘o'qfifi‘fr‘bqro’bfimfifi‘ 3 Years after PM Figure A.3 - Histogram of DI 3 Years afier PM 55‘ : SH. Dev-27.98 8 Mean- 20.7 E ”.0... o a re. .5, e ‘0 0,000,009., 4YearsaflerPM Figure A.4 - Histogram of D1 4 Years after PM 99 Frequency Std. Dev I 10.77 Mom I120 N ll440.00 0 o’qo’a‘b eo%%%%‘%%%%’b%~ '0' Woooooooaooooo 5 Years alter PM Figure A.S - Histogram of DI 5 Years after PM Frequency Std. Dov-39.77 Moan-28.2 N-345.00 so '0. ., 0,5,0, 0,90, 0,0,0, 6 Years after PM Figure A.6 - Histogram of D1 6 Years afier PM 100 100 snow-17.42 Mean . 13.2 ‘N -100.00 Frequency 7 Years after PM Figure A.7 - Histogram of D1 7 Years after PM 7O Frequency 0, I I e A a o 60'" 9.7553559350353550 -o -o 332095523320 8 Years afler PM Figure A.8 - Histogram of D1 8 Years after PM 101 Surface Milling with a Non-Structural Bituminous Overlay 3‘ § Std. Dev I 5.63 8- Mean ' 7.8 u_ N I 210.00 o-oeov-o-o 0,09,70&%¢QV%% WOOOOOOOOOO 1 Year afier PM Figure A.9 - Histogram of DI 1 Years after PM 100 g I sunny-14.99 g- Mean-8.7 u. o NI566.00 4’ 0% 20°00"? 00,000,000‘10‘090‘1b 2 Years efler PM Figure A.10 - Histogram of D1 2 Years afier PM 102 SH. Dev- 6.16 Moon I 12.5 N I 160.00 0.0 4.0 8.0 12.0 16.0 20.0 24.0 28.0 32.0 2.0 6.0 10.0 14.0 18.0 22.0 28.0 30.0 3 Years efler PM Figure A.11 - Histogram of D1 3 Years after PM 100 Std. Dev I 26.02 Mean I 16.7 N I 407.00 ”-0 bofiog@%%%%%'q,%o@ .0 so .0 .0 .0 no no .0 no .0 Frequency 4 Years afler PM Figure A.12 - Histogram of D1 4 Years afier PM 103 Frequency snow-17.34 Maui-33.0 NI88.00 Std. Dev 3 4.79 Mom I 19.4 N I 15.00 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 6 Years after PM Figure A.14 - Histogram of DI 6 Years after PM 104 0.0 5.0 10.0 15.0 7 Years after PM Figure A.15 - Histogram of D1 7 Years after PM 105 Single Chip Seal Frequency Frequency 700 200 100 Std. Dev I 27.96 Moon I 16.8 N I 1775.00 1 Year after PM I 0%ooqo@;‘b;@;°¢;‘bo .fi:‘@%%%% 0'00'0‘0 Figure A.16 - Histogram of D1 1 Years after PM Std. Dev I 21.63 Moon I 14.1 N I 1276.00 0.0%'o% 2 Years after PM %0%%’%@%%% '0 '0 '0 '0 '0 '0 '0 Figure A.17 - Histogram of D1 2 Years after PM 106 700 l 200 100 SH.Dov-43.43 Mean I26.0 N I 1312.00 %%@%%%%R%%%% '0 '0 '0 '0 '0 '0 '0 '0 '0 ‘0 quuency 0 3 Year: after PM Figure A.18 - Histogram of D1 3 Years after PM 3' § 810.0011I 24.29 a- Moon I 15.3 1L 0 N I 623.00 a ' I v I v f r— w v v v T 4 Year: after PM Figure A.19 - Histogram of D1 4 Years after PM 107 700 600 500 400 300 200 6‘ g 100 510.0." 130.50 8- Moon I 49.4 “- 0 ........ T - N I 1201’00 q .20 z z a ) ) o '0 920%;2bo‘gfio 030%0 -o -o 552095523920 5 Year: after PM Figure A.20 - Histogram of D1 5 Years after PM SH. Dev I 104.52 Men I 63.0 N I 559.00 Frequency 6 Years after PM Figure A.21 - Histogram of D1 6 Years afier PM 108 180 140 120 100 Frequency 3 0 0.0 10.0 20.0 30.0 40.0 50.0 80.0 70.0 80.0 5.0 15.0 25.0 35.0 45.0 55.0 85.0 75.0 7 Years after PM 810.0011 I 15.32 Mean I 6.6 N I 306.00 Figure A.22 - Histogram of D1 7 Years afier PM 109 Multiple Course Micro-Surfacing 5‘ 5 SM. DOV 3 15.39 g- Mem I 132 LL N .1015“) o%%%%@%e%%%%%% 0'0'.000...000 1 Year after PM Figure A.23 - Histogram of D1 1 Years afier PM 5‘ g 3”. Dev 3 16.14 é» Men I 16.2 I: N - 1300.00 Q0 I 1 ) I Q o‘bo‘bo 00‘50 000 0000-0490: 920 ’0. ago‘b-o'O-o‘bofio 2 Year: after PM Figure A.24 - Histogram of D1 2 Years afier PM 110 k Frequency 0 86.1.0011 I 27.05 Mom I 19.3 N I 913.00 0_ '2 '2 . .‘3 . - . . o '00 ‘00 #20 120%., 00%.,“00 320 "be 3 Years after PM Figure A.25 - Histogram of D1 3 Years after PM Frequency 0 Slim-4129 Mom-251 NI976.00 ‘-’o @o%o%@'}bebe%‘¢b%'%‘b'% .0 no no 00 .0 .0 .0 .0 no .0 4 Years utter PM Figure A.26 - Histogram of D1 4 Years afier PM 111 100 Frequency 0 Std. Dev I 47.26 Men I 25.3 N I 742.00 no .0 2». www.mewmfifi .. 5 Years alter PM Figure A.27 - Histogram of D1 5 Years after PM 100 Frequency 0 $111. Dev I 62.14 Mean I 42.6 N- 539.00 "a “T? 0% 05109122552125 %‘%%%§bo%a 6 Year: after PM Figure A.28 - Histogram of DI 6 Years afier PM 112 100 Frequency ‘. 7 Years after PM 810. DeVI61.65 Mom I 30.6 ‘N 3111.“) 003.513; {,2 z) ' 'e a) a a) o ‘0 ‘0 '0 Q’0 ¢o%o"%% 1% qfio‘e’fibo 63:90 Figure A.29 - Histogram of D1 7 Years afier PM 113 Bituminous Crack Seal 1000 8004 400 i 5' 200 g Std.DeVI11.55 § MeanI11.1 m 0 ‘ n- 1077.00 0%%%%055%%% "000"'000 1 Year after PM Figure A.3O - Histogram of DI 1 Years after PM 1200 6' g 510. Dev - 19.01 g. Mean . 10.4 11. N - 2590.00 402.7% “‘0 “’0’ Q; a; ’0 5b 905009 5030:0500 0000 0000 2 Years afler PM Figure A.31 - Histogram of D1 2 Years after PM 114 700 ’ SH. Dev- 24.32 Mean I 17.6 N I 1360.00 Frequency ‘8‘ %%%%%%%%%%%% '0 '0 '0 ‘0 '0 '0 '0 '0 '0 3 Years after PM Figure A.32 - Histogram of D1 3 Years afier PM 12“? 1M $10. Dev . 45.17 Mean - 20.4 N - 2472.00 Q I I 1 2 . 1% 5.551355525535525. 4 Years after PM Figure A.33 - Histogram of D1 4 Years after PM 115 Std. Dev I 31.41 Mean I 24.4 N I 1370.00 5 Years alter PM Figure A.34 - Histogram of D1 5 Years afier PM 6‘ g ‘00 snow-01.15 g- Mean-42.0 u_ o u-1oe4.00 ‘-’o 1% ’42., {aflofiaawfififio 6 Years alter PM Figure A.35 - Histogram of DI 6 Years after PM 116 200 5‘ g snow-00.40 § Mean-52.3 u‘: o ‘NI828.00 ea 00501512015150" 05151510305030 .0 .0 .0 .0 .0 .0 .0 .0 .0 .0 .0 4 7 Years after PM Figure A.36 - Histogram of D1 7 Years after PM 6' § Std. Dev I 321.00 3. Mean I 416.0 1.1. N I 63.00 '0 '0 'fio 6 Years alter PM Figure A.37 - Histogram of D1 8 Years after PM 117 APPENDIX B HISTOGRAMS USED TO EVALUATE THE DISTRESS INDEX (DI) PREVENTIVE MAINTENANCE (PM) GUIDELINE VALUES FOR THE FOLLOWING PM TREATMENTS Non-Structural Bituminous Overlay Surface Milling with a Non-Structural Bituminous Overlay Single Chip Seal Multiple Course Micro-Surfacing Bituminous Crack Seal 118 Non-Structural Bituminous Overlay Std. Dev I 4.67 '- Mann - 2.9 0 K N - 540.00 40 ‘90 ‘30 q‘0 Q0 ’Qo’eo’t ’3? ’6? ‘52 SPO Frequency 1 Year after PM Figure B. 1- Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value 10 SM. Dev-4.63 man-5.6 NI 119.00 ‘ 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 10.0 1.0 3.0 5.0 7.0 9.0 11.0 13.0 15.0 17.0 Frequency 0 1 Year after PM Figure B.2 - Histogram of DI 1 Year afier PM when the pre-existing condition is greater than the guideline value 119 140‘ 120 5' 5 sun. Dev - 10.53 g- Mun- 10.6 E ‘N-545.00 qo¢o’0’d“%%“bqf%%%%% .0 .0 .0 .0 .0 .0 .0 .0 .0 .0 .0 2 Years after PM Figure 8.3 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value 100 140 so 60 40 E g 20 snow-11.16 3 k Mum-9.2 E 0 ‘N-424.00 Qo’qo%*b‘b'%%"o%%’%_o ‘0 ‘0 '0 '0 '0 '0 '0 '0 2 Years after PM Figure 3.4 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value 120 120 5‘ 5 Std. Dav - 3.72 § Mam - 4.8 E N - 404.00 qerqeirrrr a 0 0 0 0 0 0.0 {’0 to Q0 040%0§0 to 3 Years anor PM Figure B.5 - Histogram of D1 3 Years afier PM when the pre-existing condition is less than the guideline value 12 10‘ 6‘ 5 SM. [hv I 5.86 é um - 0.4 m N-68.00 a0 3 Year: after PM Figure 8.6 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value 121 120 1W' Std. Dav I21.18 mat-19.0 N-528.w fl I I o‘bo‘bo 'o-o Frequency 0'0 lo-o‘b-o ‘b-o 'o-o %o%a’bo%o $0 @060 4 Year: after PM Figure 3.7 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value 8U. m I 19.33 M I 21.7 N - 270.00 L 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 ”.0 ”.0 5.0 15.0 25.0 35.0 45.0 55.0 05.0 75.0 85.0 4 Years after PM Figure B.8 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value 122 5‘ 1o 5 en. Dav - 000 (:7 k M . 8.7 E o } M24200 0-0 ''0 Q0 {’0 ’4‘0 Q20 etc ‘50 {’0 "3.90 '00 5 Years afler PM Figure B.9 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value 30 20d 10 I 6‘ 5 $111. Dov -1e.35 § Mann - 200 u“. o N-70.00 5.0 15.0 25.0 35.0 45.0 55.0 05.0 75.0 10.0 20.0 30.0 40.0 50.0 00.0 70.0 5 Years after PM Figure B. 10 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 123 10! 6‘ 5 8111. cu - 2015 § Mam-37.0 a: 0 _ M 111.00 0'0 ’Qo éb-o ”ha ’90 $30 $0 ’b-o $0 $0 ’90 "520 6 Years alter PM Figure 3.11 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value sum-110.50 Mun-131.5 N'1ifl) 50.0 1WD 150.0 2WD 250.0 “.0 350.0 6 Years after PM Figure B.12 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 124 304 204 1Ol 5‘ 5 S10. Dav - 9709 § h Mam - 00.4 E 0 M9500 "’025*?020231222223132‘34323232‘222 .3230 8 Years alter PM Figure B. 1 3 - Histogram of D1 8 Years afier PM when the pre-existing condition is less than the guideline value 7 _ 6‘ 8 S“. W 8 290.30 i. Mam - 201.1 I: N I 0.“) 0.0 2000 400.0 000.0 000.0 8 Year: after PM Figure B. 14 - Histogram of D1 8 Years after PM when the pre-existing condition is greater than the guideline value 125 Surface Milling with a Non-Structural Bituminous Overlay 14 124 ml 84 Sid. Dov I 5.95 than I 6.1 N I 47.00 L 0.0 5.0 10.0 15.0 20.0 25.0 ”.0 2.5 7.5 12.5 17.5 22.5 27.5 Frequency 1 Year after PM Figure B. 1 5 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value snow-4.4a mun-5.6 N-59.00 Frequency 1 Year after PM Figure B. 16 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value 126 140 120‘ 6‘ 5 snow-7.77 § MIBJ I: M49000 '0 ‘0 ’0 ’6. ‘% % % ybovofio®ofio§0®0 o o .o -o -o -o -o 2Years amerPM Figure B. 17 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value 6‘ 5 snow-0.2a § war-5.5 i- M7100 0.0 4.0 0.0 12.0 10.0 20.0 24.0 2.0 0.0 10.0 14.0 10.0 22.0 20.0 2 Years after PM Figure B. 1 8 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value 127 10 14 6‘ 5 Std. (by I 5.00 § Mun - 0.3 1: N . 50.00 0.0 4.0 8.0 12.0 10.0 20.0 2.0 0.0 10.0 14.0 18.0 3 Years alter PM Figure 3.19 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value snow-4.00 man-5.8 M2000 Frequency 0.0 2.0 4.0 0.0 0.0 10.0 12.0 14.0 10.0 10.0 3 Years after PM Figure B.20 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value 128 snow-0.73 wean-15.8 ‘N-355.00 ea '00 ‘22., ~00 '40 ‘0, “be ’00 420 ‘50 ’420’20 4 Years after PM Figure B.21 - Histogram of D1 4 Years afier PM when the pre-existing condition is less than the guideline value 6‘ 5 Std. Dav a 10.00 § mm . 10.5 I: N I 22.00 0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 4 Years after PM Figure 3.22 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value 129 Std. Dev = 36.80 Mean = 48.3 N = 500 Frequency 20,0 40 o 5 Years altar PM Figure B.23 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value _n swim-30.00 lbw-30.4 N-11.00 Frequency 0 0.0 20.0 40.0 00.0 00.0 100.0 120.0 5 Years alter PM Figure B.24 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 130 Std. Dev =11.40 man=21.8 N=2,00 Frequency 10.0 20.0 7 Years afler PM Figure 8.25 - Histogram of D1 7 Years after PM when the pre-existing condition is less than the guideline value Std. Dav I4.19 Man I6.6 N-7.oo Frequency 7 Years afler PM Figure B26 - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value 131 Single Chip Seal 120* 6‘ 5 Std. Dev - 21.37 g- man I191 'u: NISOODO o ) '0 ’0-0 (b0 ub-o 'o-o Q30 {’0 0-0 4?0 $0 ,4?0 60.0 1 Year after PM Figure B.27 - Histogram of D1 1 Year afier PM when the pre-existing condition is less than the guideline value NIH 5‘ S sum-32.83 § M=ZEA LT. Naaszm Qleebeeeeerlzrrrzor o 0. ..... 0. . . I 0 0 0 0 0 0 0 0 -oo-o‘boub-o’o-o%ooo-oo-ooo-o 1 Year after PM Figure B.28 - Histogram of D1 1 Year afier PM when the pre-existing condition is greater than the guideline value 132 120‘ 100 6' 5 Std. Dav - 9.18 g. man - 8.1 E M43200 40 to Q0 {5’0 3‘0 ‘50 97.0 ‘30 ‘Q’o ‘bo ‘20 2 Years utter PM Figure 3.29 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value 6‘ 5 Std. Dev - 23.25 § Mun - 16.7 E y N - 613.00 0'0 ’00 ‘bo ‘b-o '0-0 $30 %30 ’b-o 0% aha I‘bOI’Qoi‘bol‘bo 2 Years after PM Figure B.30 — Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value 133 Std. Dev - 15.69 than: 14.8 NI 512.00 -o ’0.0 ‘50 ‘50 9.0 {’0 $30 1’0 $0 $0 #20 Frequency 0 3 Year: after PM Figure B.3l - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value m! not 201 snow-33.90 mar-39.2 ‘N-aeam Frequency 0 L 0'0 %obo%0%0 ,%o’%o’%o%0’%0‘%§b:%o%o%fio 3 Years after PM Figure B.32 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value 134 D ’ Std. Dev I849 Mam=7.1 1N=94.00 Frequency QéYQQIIIII 0000000€020¢0¢0Vba 4 Years afler PM Figure B.33 - Histogram of D1 4 Years afier PM when the pre-existing condition is less than the guideline value Std. Dev = 9.78 1 Mean = 15.2 N= 151.00 Frequency h 0-0 '-0 Q0 ’éo ’4‘0 ‘50 910 ‘3’0 ‘z-Z’o 4530 '90 4 Years afler PM Figure B.34 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value 135 E 3 5 ll. 5 Years alter PM Figure B.35 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value Std. Dev I 62.42 men I 56.4 N-196.00 5 Years alter PM Figure B.36 - Histogram of D1 5 Years afier PM when the pre-existing condition is greater than the guideline value 136 100 m1 401 Std. Dev I 24.67 Mean I 24.9 N I 303.00 Frequency 0 .. %%%%%@e%e@% ’0 '0 '0 .0 .0 .0 .0 .0 .0 6 Years alterPM Figure B.37 - Histogram of DI 6 Years afier PM when the pre-existing condition is less than the guideline value Std. Dev I 86.46 when I 78.7 N I 45.00 Frequency 0 0.0 50.0 100.0 150.0 2WD 250.0 3ND 25.0 75.0 125.0 175.0 225.0 275.0 325.0 6 Year: after PM Figure B.38 - Histogram of D1 6 Years afler PM when the pre-existing condition is greater than the guideline value 137 5‘ 5 Std. Dev = 0.06 “3" Mean - 5.1 E o N - 09.00 7 Years alter PM Figure B.39 - Histogram of D1 7 Years afier PM when the pre-existing condition is less than the guideline value Std. Dev =4.81 Mean =4.7 N= 22.00 Frequency 7 Years alter PM Figure B.4O - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value 138 Multiple Course Micro-Surfacing 70 6‘ 5 sea. Dev -e.o1 8- Mun - 123 O L: M40400 0-0 70 Q0 ’90 ’330 ‘50 ‘3'0 1&0 Q‘o 430 '00 1 Year alter PM Figure 3.41 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value Frequency 5.0 15.0 25.0 35.0 45.0 55.0 05.0 75.0 10.0 20.0 30.0 40.0 50.0 00.0 70.0 1 Year alter PM Figure B.42 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value 139 6‘ E, sum-9.99 3 marl-10.3 0 u: N-ezmo 0 6‘ I o o qo '00 1'60 ‘60 420 '60 ‘60 11:0 4‘00 111:0 2 Years alter PM Figure 3.43 - Histogram of D1 2 Years afier PM when the pre-existing condition is less than the guideline value 6‘ 5 5m. Dev = 17.09 g Wan = 27.4 E N= 34.00 2 Years after PM Figure B.44 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value 140 100- 8111. Dev I 16.97 Mean I 15.0 N I $0.00 Frequency 0 0-0 "7 o’QWWWbfi‘fi‘h’Q'c‘b‘fi‘fifi‘o’bfiQQt 3 Years alter PM Figure 3.45 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value Std. Dev I 36.53 than I 73.4 NI45.00 I _ 0.0 40.0 ND 120.0 1ND 2010 20.0 00.0 1ND 140.0 1&10 220.0 Frequency 0 3 Year: after PM Figure 3.46 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value 141 2001 100 1 6‘ g sun. M - 15.14 g- m I 14.5 11'. 0 r _ ___ _ _N-094.00 0'0 ’90 Q’o “be '90 $30 Q30 Ibo $30 $0 ’910 60.0 4 Years alter PM Figure B.47 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value 30 6‘ 5 Std. Dev - 21.03 3 man - 59.0 LL n- 141.00 0'0 ,o-o Q90 ub-o 1b-o “be 0% )0-0 $30 ‘b-o @J’Qo {to 4 Years alter PM Figure 3.48 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value 142 AM 5w 6' 5 s10. Dev -21.39 § Mae-1:105 l: N-564.00 q0€b~ovoo%o%o’%%lvo@%%% '0 0 '0 ‘0 '0 '0 ‘0 5Years aflerPM Figure B.49 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value Std. Dev = 33.25 Mean = 57.0 N = 18.00 Frequency 00 20.0 40.0 60.0 5 Years after PM Figure B.50 - Histogram of DI 5 Years afier PM when the pre-existing condition is greater than the guideline value 143 6‘ 5 310. cu - 30.07 g Mam - 31.4 E 01-45700 0'0 ‘bo '0-0 630 Q1’0 “20 {to 49.0 (‘20 {be (2% 6 Years alter PM Figure B.51 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value 16 6‘ 8 $111. Dev - 112.23 g Mm - 107.2 u_ N - 37.00 6 Years after PM Figure B52 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 144 Bituminous Crack Seal 6 5 Std.Dev=9.37 2") Mum-11.2 i M99000 0 7 0 I I ‘3 ooo%%%%%%%%%% 1 Year after PM Figure 3.53 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value sm. Dev I 14.85 M I 21.8 NI 159.00 Frequency 0.0 10.0 20.0 30.0 40.0 50.0 ”.0 70.0 ”.0 90.0 5.0 15.0 25.0 35.0 45.0 55.0 05.0 75.0 05.0 ”.0 1 Year alter PM Figure 3.54 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value 145 1” Frequency 0 0-0 I snow-11.79 men-13.3 NI2010.00 » a 2 Year: after PM Figure B.55 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value 6‘ 5 $10. Dev - 21.23 § Mun - 27.9 E ‘ N - 340.00 0'0 {’0 $30 ‘bo 7% 6‘00 $20 "0.0 Q?o Q30 "boi’qoibol‘bo 2 Years alter PM Figure 8.56 - Histogram of DI 2 Years after PM when the pre-existing condition is greater than the guideline value 146 Stu. Dev - 13.33 that I 18.1 ‘N-01o00 0‘0 ’0-0‘2’ "b '0 % $2o’b-o‘bo Q20 [92060.0]? ,‘5 ’0 '0 '0 ‘0 o .0 Frequency 3 Years alter PM Figure 8.57 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value SM. my I 19.18 men I31.4 NI78.00 Frequency 0.0 10.0 20.0 30.0 40.0 50.0 ”.0 70.0 ”.0 5.0 15.0 25.0 35.0 45.0 55.0 05.0 75.0 3 Years alter PM Figure B.58 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value 147 8111. my I 16.34 than I 16.4 N I 1531.00 0'0 2% (be ‘50 '0-0 *20 Q’o )Qo Q~’o {’0 ’90 60.0 Frequency 0 4 Years after PM Figure B.59 - Histogram of D1 4 Years afier PM when the pre-existing condition is less than the guideline value 1” 6‘ 201 = $111. Dev . 40.05 g- Ibm I 39.3 I: 0 ‘ N I 30000 to1o'Qo‘O-a‘éfiefiérefizas'bfijamfifi. 4 Years alter PM Figure B.60 - Histogram of D1 4 Years afier PM when the pre-existing condition is greater than the guideline value 148 1” 6‘ 5 313. cu - 17.13 g Mann - 20.5 11.‘ Naeo400 0'0 ,0-0 $30 ube 1% Q70 Q30 ’b-o Q70 ‘b-o @J’Qol‘bol‘bo 5 Years alter PM Figure B.61 - Histogram of D1 5 Years afier PM when the pre-existing condition is less than the guideline value 20 6‘ 5 sun. Dav - 22.70 § um - 37.9 0“. n-aono 5.0 15.0 25.0 35.0 45.0 55.0 65.0 75.0 85.0 10.0 20.0 ”.0 40.0 50.0 ”.0 70.0 ”.0 ”.0 5 Years after PM Figure B.62 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 149 2W4 g 8111. Dev - 39.59 g- Mm - 34.0 I: 0 01-07400 0‘0 ‘bo vo-o ‘fio 0% IQ?0 {to “0.041% @0'200‘150 6 Years alter PM Figure B.63 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value 6‘ 5 3 E 0.0 50.0 1”.0 150.0 2”.0 250.0 300.0 25.0 75.0 125.0 175.0 225.0 275.0 6 Years alter PM Figure B.64 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 150 810. m 8 41.30 Mean I583 141319.” %%%%%%%%@%%%% '0 '0 '0 '0 .0 .0 .0 .0 .0 .0 .0 .0 Frequency 7 Years alter PM Figure B.65 - Histogram of D1 7 Years afier PM when the pre-existing condition is less than the guideline value 14 Std. Dev-27.15 mat-60.3 NI39.00 10.0 30.0 50.0 70.0 ”.0 110.0 130.0 150.0 20.0 40.0 ”.0 ”.0 1”.0 120.0 140.0 1”.0 7 Years alter PM Figure 8.66 - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value 151 APPENDIX C HISTOGRAMS USED TO EVALUATE THE RIDE QUALITY INDEX (RQI) PM GUIDELINE VALUES FOR THE FOLLOWING PREVENTIVE MAINTENANCE (PM) TREATMENTS BASED ON THE DISTRESS INDEX (DI) Non-Structural Bituminous Overlay Surface Milling with a Non-Structural Bituminous Overlay Single Chip Seal Multiple Course Micro-Surfacing Bituminous Crack Seal 152 Non-Structural Bituminous Overlay 20 10 Frequency L o s? 1_ 63 63 I I I I I '0 0 0 0 0 0.0 ea to 0.0 Q0 ‘bo §o 1 Year after PM Std. Dev I 5.03 M I 4.9 N I 232.00 Figure C.1 - Histogram of D1 1 Year afier PM when the pre-existing condition is less than the guideline value Frequency 0.0 2.5 5.0 73 15.0 15.5 150 17.5 20.0 1 Year afier PM SM. Dev 87.52 mm 85.1 I". 13.00 Figure C.2 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value 153 6‘ 5 Std. Dav - 6.04 3 Mann = 6.8 E N - 470.00 90907035090 ’0 <3 ’1 6' 9%‘3’ €,%% H00H00H000'0‘0'0 2 Years after PM Figure C.3 - Histogram of D1 2 Years alter PM when the pre-existing condition is less than the guideline value Frequency 2 Years afler PM Figure C.4 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value 154 10 Frequency 0 h 0.0 4.0 8.0 12.0 10.0 20.0 24.0 20.0 32.0 30.0 Std. Dav I 8.01 khan I 8.8 N I 233.00 2.0 0.0 10.0 14.0 18.0 22.0 20.0 3.0 34.0 30.0 3 Years aner PM Figure C.5 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value Frequency 3 Years afler PM snow-9.99 MIaz NI11.00 Figure C.6 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value 155 601 501 40 so 20 5‘ 5 snow-7.11 3 1° Mesa 5 L ' u. o stuoo 0.0 4.0 8.0 12.0 18.0 20.0 24.0 28.0 32.0 ”.0 2.0 8.0 10.0 14.0 18.0 22.0 28.0 30.0 34.0 4 Years after PM Figure C.7 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value 10 14! 12‘ 10! 84 Stow-19.43 mart-25.2 NI41.00 Frequency 0.0 10.0 20.0 30.0 40.0 50.0 ”.0 70.0 ”.0 ”.0 4 Years after PM Figure C.8 - Histogram of D1 4 Years afier PM when the pre-existing condition is greater than the guideline value 156 201 10! 8‘ 5 Std. Dav - 0.71 i “an I 8.1 E o 11- 100.00 0-0 80 70 630 ‘90 ’00 [ea "to QOQO‘POQ’OQO'PO‘PO‘PO 5 Years after PM Figure C.9 - Histogram of DI 5 Years after PM when the pre-existing condition is less than the guideline value a . 5 4 3 2 6‘ 1 5 Std. W I 10.70 § Mann . 13.0 11“. 0 NI 11.00 5.0 10.0 15.0 20.0 .0 30.0 35.0 5 Years after PM Figure 010 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 157 _s 0 Std. Dev = 7.81 Mean =14.9 N= 213.00 s Frequency O 0.0 4.0 8.0 12.0 16.0 20.0 24.0 28.0 32.0 36.0 2.0 8.0 10.0 14.0 18.0 22.0 28.0 30.0 34.0 6 Years after PM Figure C.11 - Histogram of D1 6 Years afier PM when the pre-existing condition is less than the guideline value Frequency in 9 o 6 Years after PM Figure C.12 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 158 Surface Milling with a Non-Structural Bituminous Overlay Frequency 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 5.0 7.0 9.0 11.0 13.0 15.0 17.0 18.0 1 Year after PM Figure C.13 - Histogram of D1 1 Year afier PM when the pre-existing condition is less than the guideline value 8‘ 5 Std. Dev I 3.25 car Mean = 12.5 E N = 26.00 4.0 0.0 so 1 Year afler PM Figure C. 14 - Histogram of DI I Year after PM when the pre-existing condition is greater than the guideline value 159 10 snow-0.70 mat-8.8 NI 115.1!) Frequency 0 0.0 5.0 10.0 15.0 20.0 25.0 ”.0 35.0 40.0 45.0 2.5 7.5 12.5 17.5 22.5 27.5 32.5 37.5 42.5 2 Years afler PM Figure C. 15 - Histogram of D1 2 Years afier PM when the pre-existing condition is less than the guideline value Frequency 2 Years after PM Figure C.16 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value 160 Frequency 0.0 4.0 8.0 12.0 16.0 20.0 24.0 28.0 2.0 6.0 10.0 14.0 18.0 22.0 28.0 30.0 3 Years after PM Figure C.17 - Histogram of D1 3 Years alter PM when the pre-existing condition is less than the guideline value Frequency 0.0 5.0 10.0 15.0 20.0 25.0 . 2.5 7.5 12.5 17.5 22.5 27.5 32.5 3 Years after PM Figure C.18 - Histogram of D1 3 Years after PM when the pre—existing condition is greater than the guideline value 161 Std. Dev I 7.81 than = 12.5 N = 73.00 Frequency 0.0 5.0 10.0 15.0 20.0 25.0 ”.0 35.0 40.0 2.5 7.5 12.5 17.5 22.5 27.5 32.5 37.5 4 Years alter PM Figure C.19 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value 6' 5 Std. Dev =9.55 é- Mean =101 ‘LC 0 N= 27.00 0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 4Years aflerPM Figure C.20 - Histogram of DI 4 Years after PM when the pre-existing condition is greater than the guideline value 162 snow-0.05 man-29.9 Frequency 5 Years alter PM Figure C.21 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value 6‘ 5 Std. Dev - 2.32 § um - 429 E 51-3200 5 Years alter PM Figure C.22 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 163 3.5 Std. Dev = 5.43 When = 18.9 N: 8.00 Frequency 6 Years after PM Figure C.23 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value 5‘ 5 Std. Dev I 4.28 3- Mun - 20.0 E N - 7.00 15.0 17.5 20.0 22.5 25.0 27.5 6 Years after PM Figure C.24 - Histogram of DI 6 Years after PM when the pre-existing condition is greater than the guideline value 164 Single Chip Seal 120‘ Std. my I20.71 M8193 NI021.00 ,\ 0‘0 ’00 'b-o Q-’o '0-0 ‘20 630 0'0 $20 $0 I(be I,0-0 1 Year after PM Figure C.25 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value 5‘ 5 Std. Dev I 22.41 § Man - 24.2 1‘: N - 220.00 qorqoeeeeeeeeaorbog -o -o -o -o -o -o -o -o .0 1Year after PM Figure C.26 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value 165 120‘ 1” 4o 5‘ 5 2° 810.001: -0.00 § Mann - 10.3 t: 0 NI 040.00 0.040105023050500 -o -o -o -o -o -o -o -o -o -o 2 Years after PM Figure C.27 - Histogram of D1 2 Years afier PM when the pre-existing condition is less than the guideline value 13‘ 5 sum-11.07 § Mun-11.5 E . M10000 2 Years after PM Figure C.28 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value 166 6‘ 5 sun. Dev - 20.37 g. Mm - 37.0 E ____ N - 571.00 0'0 ‘Yovqofi3o‘bo’Q 4% ,%’% @%%€% .0 .0 .0 .0 4o .0 .0 no 3 Year: alter PM Figure C.29 - Histogram of D1 3 Years after PM when the pre-existing condition is less than the guideline value 10 6‘ 5 310. 04v - 21.31 § um - 32.7 E NI 100.00 0'0 ,0-0 "be ubo 1'0-0 ob-o $2a ’b-o 4?0 $0 ’90 60.0 3 Years after PM Figure C.30 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value 167 120‘ 1” 40 6‘ 5 20 $10. Dev I 10.21 § Mam - 9.0 a: 0 NI 373.00 0'0 6:0 ,QoQo‘toQ‘o‘bofiobo%0%0%0%0%'0’b0)¢0%0 4 Years alter PM Figure C.31 - Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value 6 5 $10. Dev - 13.93 g mu:- 17.2 I: N'214.” 0. 7 I‘ I 0 0-0 éb-o ‘bo 'O-o (be 6i0 0-0 $30 1’0 420 4 Years after PM Figure C.32 - Histogram of D1 4 Years afier PM when the pre-existing condition is greater than the guideline value 168 200! 1” Frequency 0 Qa%%<1;’db%%%%%'¢b‘o'% Std. Dev I 53.00 mat-30.4 MIND.” .0 .0 .0 .0 .0 .0 .0 no no no 5 Years alter PM Figure C.33 - Histogram of D1 5 Years after PM when the pre-existing condition is less than the guideline value 101 Frequency 0 snow I45.13 mat-59.5 NI 121.00 0.0 40.0 80.0 120.0 1”.0 2”.0 240.0 2”.0 20.0 ”.0 1”.0 140.0 1”.0 220.0 280.0 5 Years alter PM Figure C.34 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 169 6‘ 5 Std. M I 02.75 ‘3’ Mann . 01.9 E N I 324.” Q%%%%IIIII e 0 '0 '0 '0 '0 %0‘%0%0%é%0 .fiobo .0 .0 .0 .0 fake 6 Years alter PM Figure C.35 - Histogram of D1 6 Years afier PM when the pre-existing condition is less than the guideline value u- m sumuflm men-41.3 N827.” Frequency 0.0 50.0 ' 100.0 ' 150.0 ' 200.0 ' 250.0 300.0 25.0 75.0 125.0 175.0 225.0 275.0 6 Years alter PM Figure C.36 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 170 Multiple Course Micro-Surfacing Frequency Std. Dev I 7.91 than 812.0 N- 413.00 a. Y or r r e o o 060 Qo‘to YOQO‘PO‘Q‘O'QO 1 Year after PM Figure C.37 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value Frequency 1 Year afler PM Std. m- 11.03 M3103 I‘d-58.00 Figure C38 - Histogram of Di 1 Year after PM when the pre-existing condition is greater than the guideline value 171 20 6‘ 8 sun. Dav - 9.02 § Mm - 10.0 E o M41300 90 70 Q0 {.30 ’630 1’0 97.0 ‘30 ‘P0 ‘50 ‘20 '20 2 Years afler PM Figure C.39 - Histogram of D1 2 Years after PM when the pre-existing condition is less than the guideline value 30 3‘ 8 SH. 0011 . 22.80 §- Mun - 30.2 E N-182.m :20 ’0-0 {to Q30 '00 ‘bo Q30 )o-a $30 Qa @00qu0 2 Years after PM Figure C.40 - Histogram of D1 2 Years after PM when the pre-existing condition is greater than the guideline value 172 100 Frequency 0 7 0 o I I I I 7 ‘3 'oeo '0 ‘0 '0 qo‘9070qoqo‘b-33‘3075b33-‘o‘b-o‘éfifia‘ka 3 Year: after PM Figure C.41 - Histogram of D1 3 Years after PM when the than the guideline value pre-existing condition is less Frequency 0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 2.5 7.5 12.5 17.5 22.5 27.5 32.5 37.5 42.5 3 Years after PM Std. Dev I 8.71 than I 8.9 N I 52.00 Figure C.42 - Histogram of D1 3 Years afier PM when the pre-existing condition is greater than the guideline value 173 100 001 5‘ 5 Std. Dav - 9.91 3 Mann - 10.2 g 0 K __ N 3 401.00 0-0 4‘0 ’00 <50 #20 '31.}, “ha 4:0 120 1:0 "5.0 €10 “b0 “fro 4 Year: after PM Figure C.43 — Histogram of D1 4 Years after PM when the pre-existing condition is less than the guideline value 40 30 I 20 10 6‘ 5 sea. Dev - «.54 § Mun - 35.9 E 0 _ n- 159.00 0.0 ‘b0 b0 Q20 $20 @0%0%0%0Q?0%0§209%20%0 4 Year: after PM Figure C.44 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value 174 140‘ 120 100 90 90 40 6’ 5 20 mow-22.04 g. man-17.3 E o ‘N-aesm 0'0 %o%o%oq?o,%%’%@%%% '0 '0 '0 '0 '0 '0 '0 5 Year: after PM Figure C.45 - Histogram of D1 5 Years afier PM when the pre-existing condition is less than the guideline value 12 6‘ 5 so. an - 14.04 § M I 19.5 m N - «.00 0.0 10.0 20.0 30.0 40.0 50.0 ”.0 5.0 15.0 25.0 35.0 45.0 55.0 05.0 5 Year: after PM Figure C.46 - Histogram of D1 5 Years afier PM when the pre-existing condition is greater than the guideline value 175 20 Frequency 0 810.091! I 35.39 men I 31.7 NI 243.00 0'0 %o%o%o%o,%%,'0%%%¢b '0 '0 '0 '0 '0 '0 '0 6 Years after PM Figure C.47 - Histogram of D1 6 Years after PM when the pre-existing condition is less than the guideline value 10! Frequency 0 sum-53.99 men-00.9 111-11600 0.0 40.0 80.0 120.0 100.0 200.0 240.0 2&0 20.0 00.0 1WD 140.0 1ND 220.0 200.0 6 Years after PM Figure C.48 - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 176 Bituminous Crack Seal 190 1401 120 6' 5 SM. Dev I 10.27 3» men I 11.0 o I: N- 873.00 0 7 0 I I <3 1.? 1 Year after PM Figure C.49 - Histogram of D1 1 Year after PM when the pre-existing condition is less than the guideline value Std. Dev I 10.08 men =15.0 NI188.00 Frequency 0'0 6:0 ’00 {5:0 {to 96:0 “b0 “3:0 ”0 a0 ‘fio $0 1 Year after PM Figure C.50 - Histogram of D1 1 Year after PM when the pre-existing condition is greater than the guideline value 177 190 1401 120' Std. Dev I134 k Wat-8.1 NI761.00 0 7 5 I I '0 '0 ‘0 ‘30 0.0 ‘bo fig %0 fig *0 b0 L Frequency 8 2 Years after PM Figure C.51 - Histogram of D1 2 Years afier PM when the pre-existing condition is less than the guideline value 2.5 7.5 12.5 17.5 22.5 27.5 32.5 5.0 10.0 15.0 20.0 25.0 30.0 35.0 2 Years after PM Figure C.52 - Histogram of D1 2 Years afier PM when the pre-existing condition is greater than the guideline value 178 6‘ 5 sad. Dev - 14.00 g Mun - 15.7 L: Nneaam 0‘0 ’0-0 ‘bo ‘bo 7% $.30 620 $10 $30 Q’o ’ng ”0.0 3 Years alter PM Figure C.53 - Histogram of DI 3 Years after PM when the pre-existing condition is less than the guideline value 6' § 810. Dav - 9.52 8- M I 20.6 I: n- 159.00 0-0 ¢o "0.0 <50 720 0:0 7’90 4:0 ‘00 11:0 120 110 3 Years after PM Figure C.54 - Histogram of D1 3 Years after PM when the pre-existing condition is greater than the guideline value 179 0 Frequency 0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0 ”.0 ”.0 5.0 15.0 25.0 35.0 45.0 55.0 65.0 75.0 05.0 4 Year: after PM Figure C.55 - Histogram of D1 4 Years afier PM when the than the guideline value SM. Dev I 17.69 than I 18.9 NI 796.00 pre-existing condition is less 10 Frequency 4 Years after PM Std. Dev I 10.84 men I 15.4 NI35.00 Figure C.56 - Histogram of D1 4 Years after PM when the pre-existing condition is greater than the guideline value 180 140 Frequency %ae%9%%e%%@%gggg 0 ‘0 '0 '0 '0 '0 '0 '0 '0 .0 .0 .0 .0 .0 .0 5 Years after PM 9111. Dev - 19.37 Mm - 23.7 ‘N-751.00 Figure 057 - Histogram of D1 5 Years afier PM when the pre-existing condition is less than the guideline value 40 301 201 101 6' § sum-19.15 g khan-26.0 E 0 ~ - ' - ' _ NI155.00 5YeareaflerPM Figure C58 - Histogram of D1 5 Years after PM when the pre-existing condition is greater than the guideline value 181 Sid. W I 12.01 M I 10.2 NI 335.00 0¢g’0%%*’0%%%%%%% ’0 .0 .0 .0 .0 .0 .0 .0 .0 .0 .0 .0 Frequency 6 Year: after PM Figure C.59 - Histogram of D1 6 Years afier PM when the pre-existing condition is less than the guideline value 10 4d ‘ SB. Dev I 18.72 than I 29.8 NI 10.00 Frequency 0 10.0 20.0 30.0 40.0 50.0 90.0 70.0 ”.0 6 Years after PM Figure C.6O - Histogram of D1 6 Years after PM when the pre-existing condition is greater than the guideline value 182 201 ‘1 h 810. my I 31.46 men I 49.9 N I 199.00 q I I I I I <3 0 Q70 70.0 abo 0% (5.0 ‘20 '20 $20 fioqbogbo 'Qo 7 Years after PM Figure C.61 - Histogram of D1 7 Years afier PM when the pre-existing condition is less than the guideline value 10 Frequency 10.0 20.0 30.0 40.0 50.0 00.0 70.0 5.0 15.0 25.0 35.0 45.0 55.0 05.0 75.0 7 Years after PM Figure C.62 - Histogram of D1 7 Years after PM when the pre-existing condition is greater than the guideline value 183 Std. Dev I 13.98 than I41.8 NI78.00 APPENDIX D TWO SAMPLE T-TEST RESULTS FROM MINI-TAB USED TO EVALUATE THE DISTRESS INDEX (DI) PREVENTIVE MAINTENANCE (PM) GUIDELINE VALUES FOR THE FOLLOWING PM TREATMENTS Non-Structural Bituminous Overlay Surface Milling with a Non-Structural Bituminous Overlay Single Chip Seal Multiple Course Micro-Surfacing Bituminous Crack Seal 184 Non-Structural Bituminous Overlay Two Sample T-Test and Confidence Interval Two sample T for 1 Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 540 2.89 4.87 0.21 1 Year_A 119 5.91 4.63 0.42 95% CI for mu 1 Year_B - mu 1 Year_A: ( -3.95, -2.08) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -6.38 P=0.0000 DF= 180 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 545 10.8 10.5 0.45 2 Year_A 424 9.2 11.2 0.54 95% CI for mu 2 Year_B - mu 2 Year_A: ( 0.23, 3.00) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= 2.29 P=0.022 DF= 882 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 494 4.79 3.72 0.17 3 Year_A 68 6.38 5.86 0.71 95% CI for mu 3 Year_B - mu 3 Year_A: (-3.04, -O.13) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= -2.18 P=0.033 DF= 74 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 526 19.0 21.2 0.92 4 Year_A 276 21.7 19.3 1.2 95% CI for mu 4 Year_B - mu 4 Year_A: (-5.64, 0.2) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -1.83 P=0.067 DF= 604 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 185 5Year_B 242 8.66 6.98 0.45 5Year_A 70 20.6 16.4 2.0 95% CI for mu 5 Year_B - mu 5 Year_A: ( -15.93, -7.9) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -5.95 P=0.0000 DF= 76 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 111 37.9 23.2 2.2 6Year_A 11 131 111 33 95% CI for mu 6 Year_B - mu 6 Year_A: (-168.0, -19) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= -2.80 P=0.019 DF= 10 Two Sample T—Test and Confidence Interval Two sample T for 8 Year_B vs 8 Year_A N Mean StDev SE Mean 8 Year_B 95 86.4 97.7 10 8 Year_A 8 201 290 103 95% CI for mu 8 Year_B - mu 8 Year_A: ( -359, 129) T-Test mu 8 Year_B = mu 8 Year_A (vs not =): T= -1.11 P=O.30 DF= 7 186 Surface Milling with a Non-Structural Bituminous Overlay Two Sample T-Test and Confidence Interval Two sample T for 1 Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 47 6.13 5.95 0.87 1Year_A 59 5.59 4.48 0.58 95% CI for mu 1 Year_B - mu 1 Year_A: ( -1.54, 2.62) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= 0.52 P=0.60 DF= 83 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 490 8.10 7.77 0.35 2 Year_A 71 5.50 6.26 0.74 95% CI for mu 2 Year_B - mu 2 Year_A: ( 0.97, 4.23) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= 3.16 P=0.0020 DF= 103 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 56 6.27 5.80 0.78 3 Year_A 26 5.81 4.00 0.78 95% CI for mu 3 Year_B - mu 3 Year_A: ( -1.75, 2.66) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= 0.41 P=0.68 DF= 68 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 355 15.82 9.73 0.52 4 Year_A 22 16.5 10.9 2.3 95% CI for mu 4 Year_B - mu 4 Year_A: ( -5.59, 4.2) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -0.28 P=0.78 DF= 23 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 187 SYear_B 5 48.3 36.8 16 5Year_A11 30.4 36.1 11 95% CI for mu 5 Year_B - mu 5 Year_A: (-29, 65) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= 0.91 P=0.39 DF= 7 Two Sample T-Test and Confidence Interval Two sample T for 7 Year_B vs 7 Year_A N Mean StDev SE Mean 7 Year_B 2 21.8 11.4 8.1 7 Year_A 7 8.62 4.19 1.6 95% CI for mu 7 Year_B - mu 7 Year_A: ( -91.2, 117.6) T-Test mu 7 Year_B = mu 7 Year_A (vs not =): T= 1.61 P=0.35 DF= l 188 Single Chip Seal Two Sample T-Test and Confidence Interval Two sample T for 1 Year_B vs 1 Year_A N Mean StDev SE Mean 1 Year_B 599 19.1 21.9 0.89 1 Year_A 352 28.4 32.8 1.7 95% CI for mu 1 Year_B - mu 1 Year_A: ( -13.18, -5.5) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -4.74 P=0.0000 DF= 536 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 432 8.72 9.16 0.44 2 Year_A 618 16.7 23.3 0.94 95% CI for mu 2 Year_B - mu 2 Year_A: ( -10.03, -5.97) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -7.74 P=0.0000 DF= 860 Two Sample T—Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 512 14.8 15.7 0.69 3 Year_A 368 39.2 33.9 1.8 95% CI for mu 3 Year_B - mu 3 Year_A: ( -28.18, -20.7) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= -12.88 P=0.0000 DF= 480 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 94 7.06 6.49 0.67 4 Year_A 151 15.25 9.78 0.80 95% CI for mu 4 Year_B - mu 4 Year_A: (~10.24, -6.14) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -7.88 P=0.0000 DF= 241 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 189 5Year_B 558 19.8 42.3 1.8 5Year_A196 56.4 62.4 4.5 95% CI for mu 5 Year_B - mu 5 Year_A: ( -46.1, -27.1) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T: -7.62 P=0.0000 DF= 260 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 303 24.9 24.9 1.4 6 Year_A 45 78.7 86.5 13 95% CI for mu 6 Year_B - mu 6 Year_A: ( -80.0, -28) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= -4.15 P=0.0001 DF= 45 Two Sample T-Test and Confidence Interval Two sample T for 7 Year_B vs 7 Year_A N Mean StDev SE Mean 7 Year_B 69 5.09 8.86 1.1 7 Year_A 22 4.66 4.81 1.0 95% CI for mu 7 Year_B - mu 7 Year_A: ( -2.5, 3.4) T-Test mu 7 Year_B = mu 7 Year_A (vs not =): T= 0.30 P=0.77 1DF = 66 190 Multiple Course Micro-Surfacing Two Sample T-Test and Confidence Interval Two sample T for l Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 464 12.32 8.01 0.37 1Year_A 26 37.4 13.6 2.7 95% CI for mu 1 Year_B - mu 1 Year_A: ( -30.60, -19.5) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -9.30 P=0.0000 DF= 25 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 621 10.30 8.93 0.36 2 Year_A 34 27.4 17.1 2.9 95% CI for mu 2 Year_B - mu 2 Year_A: ( -23.06, -11.0) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -5.77 P=0.0000 DF= 33 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 690 15.0 16.0 0.61 3 Year_A 45 73.4 36.5 5.4 95% CI for mu 3 Year_B - mu 3 Year_A: ( -69.34, -47.3) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T: -10.64 P=0.0000 DF= 45 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 684 14.5 15.1 0.58 4 Year_A 141 58.0 21.0 1.8 95% CI for mu 4 Year_B - mu 4 Year_A: ( -47.21, -39.9) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -23.37 P=0.0000 DF= 171 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 191 5Year_B 584 16.5 21.4 0.89 5Year_A 18 57.0 33.2 7.8 95% CI for mu 5 Year_B - mu 5 Year_A: ( -57.13, -23.9) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -5.l3 P=0.0001 DF= 17 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 457 31.4 30.1 1.4 6 Year_A 37 107 112 18 95% CI for mu 6 Year_B - mu 6 Year_A: ( -113.4, -38) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T: -4.10 P=0.0002 DF= 36 192 Bituminous Crack Seal Two Sample T-Test and Confidence Interval Two sample T for l Year_B vs 1 Year_A N Mean StDev SE Mean 1 Year_B 990 11.24 9.37 0.30 1 Year_A 159 21.8 14.8 1.2 95% CI for mu 1 Year_B - mu 1 Year_A: ( -13.00, -8.2) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -8.73 P=0.0000 DF= 178 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 2010 13.3 11.8 0.26 2 Year_A 346 27.9 21.2 1.1 95% CI for mu 2 Year_B - mu 2 Year_A: ( -16.85, -12.2) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -12.42 P=0.0000 DF= 382 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 610 18.1 13.3 0.54 3 Year_A 78 31.4 19.2 2.2 95% CI for mu 3 Year_B - mu 3 Year_A: ( -17.76, -8.9) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= -5.95 P=0.0000 DF= 86 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 1531 16.4 16.3 0.42 4 Year_A 308 39.3 40.7 2.3 95% CI for mu 4 Year_B - mu 4 Year_A: ( -27.52, -18.3) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -9.73 P=0.0000 DF= 327 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 193 5Year_B 604 26.5 17.1 0.70 5Year_A 80 37.9 22.7 2.5 95% CI for mu 5 Year_B - mu 5 Year_A: ( -l6.62, -6.2) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -4.33 P=0.0000 DF= 91 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 874 34.6 39.6 1.3 6 Year_A 29 86.6 96.2 18 95% CI for mu 6 Year_B - mu 6 Year_A: ( -88.7, -15) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= -2.90 P=0.0072 DF= 28 Two Sample T-Test and Confidence Interval Two sample T for 7 Year_B vs 7 Year_A N Mean StDev SE Mean 7 Year_B 319 58.3 41.3 2.3 7 Year_A 39 60.3 27.2 4.3 95% CI for mu 7 Year_B - mu 7 Year_A: ( -11.9, 7.8) 194 APPENDIX E TWO SAMPLE T-TEST RESULTS FROM MINI-TAB USED TO EVALUATE THE RIDE QUALITY INDEX (RQD PREVENTIVE MAINTENANCE (PM) GUIDELINE VALUES FOR THE FOLLOWING PM TREATMENTS BASED ON THE DISTRESS INDEX Non-Structural Bituminous Overlay Surface Milling with a Non-Structural Bituminous Overlay Single Chip Seal Multiple Course Micro-Surfacing Bituminous Crack Seal 195 Non-Structural Bituminous Overlay Two Sample T-Test and Confidence Interval Two sample T for l Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 232 4.92 5.03 0.33 1 Year_A 13 5.08 7.52 2.1 95% CI for mu 1 Year_B - mu 1 Year_A: ( -4.76, 4.4) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -0.08 P=0.94 DF= 12 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 470 6.80 6.04 0.28 2 Year_A 46 8.16 5.34 0.79 95% CI for mu 2 Year_B - mu 2 Year_A: (-3.03, 0.32) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -1.62 P=0.11 DF= 56 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 233 8.79 8.67 0.57 3 Year_A 11 8.17 9.99 3.0 95% CI for mu 3 Year_B - mu 3 Year_A: (-6.20, 7.5) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= 0.20 P=0.84 DF= 10 Two Sample T—Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 244 6.33 7.11 0.46 4 Year_A 41 25.2 19.4 3.0 95% CI for mu 4 Year_B - mu 4 Year_A: ( -25.07, -12.7) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -6.15 P=0.0000 DF= 41 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 196 5Year_B186 8.14 6.71 0.49 5Year_A 11 13.0 10.7 3.2 95% CI for mu 5 Year_B - mu 5 Year_A: ( -12.14, 2.4) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -1.49 P=0.l7 DF= 10 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 213 14.92 7.81 0.53 6 Year_A 7 13.95 9.13 3.4 95% CI for mu 6 Year_B - mu 6 Year_A: ( -7.57, 9.5) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= 0.28 P=0.79 DF= 6 197 Surfacing Milling with a Non-Structural Bituminous Overlay Two Sample T-Test and Confidence Interval Two sample T for l Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 46 12.21 3.50 0.52 1 Year_A 26 12.47 3.25 0.64 95% CI for mu 1 Year_B - mu 1 Year_A: ( -1.90, 1.38) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -0.31 P=0.75 DF= 55 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 115 8.77 8.79 0.82 2 Year_A 34 9.68 9.43 1.6 95% CI for mu 2 Year_B - mu 2 Year_A: ( 4.56, 2.7) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -0.51 P=0.6l DF= 51 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 79 13.06 7.33 0.82 3 Year_A 39 14.48 9.39 1.5 95% CI for mu 3 Year_B - mu 3 Year_A: ( -4.85, 2.0) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= -0.83 P=0.41 DF= 61 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 73 12.49 7.81 0.91 4 Year_A 27 10.11 9.55 1.8 95% CI for mu 4 Year_B - mu 4 Year_A: ( -1.77, 6.5) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= 1.16 P=0.25 DF= 39 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 198 5Year_B 46 29.89 9.95 1.5 5Year_A 32 42.9 22.3 3.9 95% CI for mu 5 Year_B - mu 5 Year_A: ( -21.6, -4.5) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -3.10 P=0.0036 DF= 39 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 8 18.89 5.43 1.9 6 Year_A 7 20.00 4.28 1.6 95% CI for mu 6 Year_B - mu 6 Year_A: ( -6.6, 4.4) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= -0.44 P=0.66 DF= 12 199 Single Chip Seal Two Sample T-Test and Confidence Interval Two sample T for 1 Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 621 19.9 20.7 0.83 1 Year_A 228 24.2 22.4 1.5 95% CI for mu 1 Year_B - mu 1 Year_A: ( -7.60, -0.9) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -2.50 P=0.013 DF= 378 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 646 10.31 9.86 0.39 2 Year_A 160 11.5 12.0 0.95 95% CI for mu 2 Year_B - mu 2 Year_A: ( -3.24, 0.79) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -l .20 P=0.23 DF= 215 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 571 37.9 29.4 1.2 3 Year_A 108 32.7 21.3 2.1 95% CI for mu 3 Year_B - mu 3 Year_A: ( 0.5, 9.9) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= 2.19 P=0.030 DF= 193 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 373 9.6 10.2 0.53 4 Year_A 214 17.2 13.9 0.95 95% CI for mu 4 Year_B - mu 4 Year_A: (-9.72, -5.44) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -6.96 P=0.0000 DF= 345 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 200 5Year_B 600 30.4 53.8 2.2 5Year_A121 59.5 45.1 4.1 95% CI for mu 5 Year_B - mu 5 Year_A: ( -38.2, -19.9) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -6.24 P=0.0000 DF= 195 Two Sample T—Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 324 61.9 62.7 3.5 6 Year_A 27 41.3 69.2 13 95% CI for mu 6 Year_B - mu 6 Year_A: ( -7.5, 49) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= 1.50 P=0.14 DF= 29 201 Multiple Course Micro-Surfacing Two Sample T-Test and Confidence Interval Two sample T for 1 Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 413 11.97 7.91 0.39 1Year_A 58 10.8 11.0 1.4 95% CI for mu 1 Year_B - mu 1 Year_A: ( -1.81, 4.2) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= 0.79 P=0.43 DF= 65 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 413 10.01 9.82 0.48 2 Year_A 182 30.2 22.8 1.7 95% CI for mu 2 Year_B - mu 2 Year_A: ( -23.63, -16.7) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -11.48 P=0.0000 DF= 211 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 405 8.47 7.63 0.38 3 Year_A 52 8.86 8.71 1.2 95% CI for mu 3 Year_B - mu 3 Year_A: ( -2.93, 2.1) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= -0.31 P=0.76 DF= 61 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 401 10.17 9.91 0.49 4 Year_A 159 35.6 44.5 3.5 95% CI for mu 4 Year_B - mu 4 Year_A: (-32.50, -18.4) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= -7.14 P=0.0000 DF= 164 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 202 5Year_B 355 17.3 22.6 1.2 5Year_A 44 19.5 14.0 2.1 95% CI for mu 5 Year_B - mu 5 Year_A: ( -7.1, 2.6) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -0.92 P=0.36 DF= 74 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 243 31.7 35.4 2.3 6 Year_A 116 60.9 53.9 5.0 95% CI for mu 6 Year_B - mu 6 Year_A: ( —40.0, -l8.3) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= -5.31 P=0.0000 DF= 163 203 Bituminous Crack Seal Two Sample T-Test and Confidence Interval Two sample T for l Year_B vs 1 Year_A N Mean StDev SE Mean 1Year_B 873 11.0 10.3 0.35 1 Year_A 186 15.0 10.1 0.74 95% CI for mu 1 Year_B - mu 1 Year_A: ( -5.59, -2.37) T-Test mu 1 Year_B = mu 1 Year_A (vs not =): T= -4.87 P=0.0000 DF= 272 Two Sample T-Test and Confidence Interval Two sample T for 2 Year_B vs 2 Year_A N Mean StDev SE Mean 2 Year_B 761 8.09 7.34 0.27 2 Year_A 36 13.14 7.31 1.2 95% CI for mu 2 Year_B - mu 2 Year_A: ( -7.57, -2.5) T-Test mu 2 Year_B = mu 2 Year_A (vs not =): T= -4.05 P=0.0002 DF= 38 Two Sample T-Test and Confidence Interval Two sample T for 3 Year_B vs 3 Year_A N Mean StDev SE Mean 3 Year_B 688 15.7 14.0 0.53 3 Year_A 159 20.58 8.52 0.68 95% CI for mu 3 Year_B - mu 3 Year_A: ( -6.61, -3.22) T-Test mu 3 Year_B = mu 3 Year_A (vs not =): T= -5.71 P=0.0000 DF= 383 Two Sample T-Test and Confidence Interval Two sample T for 4 Year_B vs 4 Year_A N Mean StDev SE Mean 4 Year_B 796 18.9 17.7 0.63 4 Year_A 35 15.4 10.6 1.8 95% CI for mu 4 Year_B - mu 4 Year_A: ( -0.32, 7.4) T-Test mu 4 Year_B = mu 4 Year_A (vs not =): T= 1.85 P=0.071 DF= 42 Two Sample T-Test and Confidence Interval Two sample T for 5 Year_B vs 5 Year_A N Mean StDev SE Mean 204 5Year_B 751 23.7 18.4 0.67 5Year_A155 26.0 13.2 1.1 95% CI for mu 5 Year_B - mu 5 Year_A: ( -4.84, 0.1) T-Test mu 5 Year_B = mu 5 Year_A (vs not =): T= -1.90 P=0.059 DF= 293 Two Sample T-Test and Confidence Interval Two sample T for 6 Year_B vs 6 Year_A N Mean StDev SE Mean 6 Year_B 335 16.2 12.0 0.66 6 Year_A 16 29.6 16.7 4.2 95% CI for mu 6 Year_B - mu 6 Year_A: ( -22.43, -4.4) T-Test mu 6 Year_B = mu 6 Year_A (vs not =): T= -3.17 P=0.0063 DF= 15 Two Sample T—Test and Confidence Interval Two sample T for 7 Year_B vs 7 Year_A N Mean StDev SE Mean 7 Year_B 189 49.9 31.5 2.3 7 Year_A 76 41.6 14.0 1.6 95% CI for mu 7 Year_B - mu 7 Year_A: (2.7, 13.8) 205 BIBLIOGRAPHY 206 10. LIST OF REFERENCES . Al-Mansour, Abdullah I., Kuczek, Thomas, and Sinha, Kumares C. “Effects of Routine Maintenance on Flexible Pavement Condition”. Journal of Transportation Engineering, Vol 120 No. l. 1994. Batac, Gilbert and Ray, Michael. “French Strategy for Preventive Road Maintenance: Why and How?” Transportation Research Record 1183, TRB, National Research Council, Washington D.C., pp. 22-34. Brown, E.R. “Preventive Maintenance of Asphalt Concrete Pavements,” Transportation Research Record 1205, TRB, National Research Council, Washington D.C., pp. 6-10. Brown, Ray E., Kandhal, Prithvi S., Kennedy, Thomas W., Lee, Dah-Yinn, and Roberts, Freddy L. Hot Mix Asphalt Materials, Mixture Design an_c_1 Construction. Maryland: NAPA Education Foundation, 1996. . 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