3 WWW.“ m m .m ‘ 1:: ii u w ‘il Am an In! w )7 . ‘ gr A Stress Analysis of Louise H. Campbell Hall A Thesis Submitted to The Faculty of MICHIGAN STATE COLLEGE of AGRICULTURE ARM APPLIED bClENCE by George Kopgman Canaiaate for the bearee of Bachelor of Science June 1959 Misti- , 9909 ' The structure considered is a Girl's Dormitorg, erec-‘ ted on the Michigan State College Campus in the spring and summer of 1939 by the Alfred A Smith Construction Co. of Detroit. The building was designed b3 Malcomlson. Calder, and Hammond Architects and Engineers of Detroit, Michigan, to accomodate approximately iove hundred girls. The analysis Was performed with the intent to gain an insight into and a more thorough knowledge of the practical asyects of structural engineering, and also to gain exper- ience in the periormance of structural analysis. The author wishes to acknowledge the help of Mr. C. L. Allen for his aid and advice in making the analysis, Mr. Ralph Calder for his generosity in supplying the structural plans of the building, and Mr. uerard of the firm of Malcol- mson, Calder and hammond for his welcome hints and advice pertaining practiCal structural engineering. /' G '_, .4} :j .‘n inJQJ References Reinforced Concrete Structures by Peabody Design of steel Structures by Urquhart and O'Rourke Steel Construction by American Institute of Steel Construction Carnegie Pocket Companion by United States Steel Company 1 Speciiications Loads:- Dead loads:- Snow load (50-(45-2o)1) 51b./sq. ft. -. wind load 50 lb./sq. ft. on the vertical plane as recommended by the Detroit City building code. N ’ ‘“ ‘ ' ormal Wind 103“ _§Qé£é9;191 28 lb. / sq. ft. 1.5 Roof covering Gypsum tile 17 lb./sq/ it/ ASPhalt ielt 2 " " n Slate shingles 6 " " " Total head roof load 58 lb./sq. it. Live loads:- Taken from the Detroit City Coae for hotels and dormitories On upper floors 50 lb./sq. ft. First floor and halls 80 lb./sq. it. Shower and toilet floors lOO lb./sq. ft. weight of concrete 150 lb./ Sq. ft. Tile and gypsum soundproofed walls 40 lb./SQ- it- Purlins;- considered as simply supported with uniform lOad. M = 315 where M is the maximum bending mOment in the purlin, w is the load per foot, and l is the length of the purlin in ieet. Compare the moment of - inertia l of the member taken from the tables with the I required as computed irom the formula s=¥£ where u l » . . . u . . - . . . r 4 v . . . ~ . . l, , _ s is the unit working stress of steel taken as 18000 lb. per square inch, M is the above moment, 0 is the distance in inches irom the neutral axis to the Outermost fiber, and I is the moment of inertia about the neutral axis. Check the shear. the allowable is 15,500 lb. per square inch. Rafters:— Considered as having three point suspension with the loads concentrated at the purlins. Compare the l oi the member with the I required as with the purlins. Columns:- Rooi: allowable concentric loadings checked, plus bending moment due to a possible horizontal thrust oi the wind. Allowable vertiCel leadings were taken from Steel Construction by American Institute of steel Construction. Reiniorced Concrete columns: Beiniorced with longit- udinal steel and i“rnund ties at 12” spacing. allowable Ec equals 450 lb./sq/ inch 'n equal 15 re equals 18,000 lb./sq. inch Eire protection 01 two inches 01 concrete covering all steel is required. H beam columns: Allowable loadings taken irom steel Construction by a.i.L.C. Encased in concrete to provide Protection against fire. Floor slabs:- Considered as slightly restrained beams. Mequals wlb/lo. Main steel Fs equals 18,000 lb./sq. inch Temperature steel As equal .002de where b is 12" and d is the depth from the top of the slab to the center of the main steel. s is the unit working stress of steel taken as 18000 lb. per square inch, M is the above moment, 0 is the distance in inches from the neutral axis to the Outermost fiber, and I is the moment of inertia about the neutral axis. Check the shear. the allowable is 15,500 lb. per square inch. Rafters;- Considered as having three point adepension with the loads concentrated at the purlins. Compare the I oi the member with the I required as with the purlins. Columns:- R001: allowable concentric loadings checked, plus bending moment due to a possible horizontal thrust oi the wind. Allowable vertiCel loadings were taken from Steel Construction by American Institute of Steel Construction. Reiniorced Concrete columns: Reiniorced with longit- udinal steel and a“round ties at 12” spacing. allowable he equals 450 lb./sq/ inch n equal 15 Es equals 18,000 lb./sq. inch Fire protection 01 two inches 01 concrete covering all steel is required. H beam columns: allowable loadings taken irom steel Construction by a.I.L.C. Encased in concrete to provide protection against fire. Floor slabs:- w Considered as slightly restrained beams. Mequals wlb/IO. Main steel Fs equals 18,000 lb./sq. inch Temperature steel As equal .002de where b is 12" and d is the depth from the top of the slab to the center of the main steel. solid slabs cont. AllOW&ble shear in concrete equal .002Fc equal 40 lb. per square inch. Bond equal 125 lb. per sq. inch. Fire protection slabs 5" thick ----2" slabs a" thick ——--1%" Terra cotta iloor slabs:— Figured as slightly restrained tee beams carrying the floor load equal to that from center line to center line of tees. Mequal wlg/lO. weight 52.5 lb./sq. inch main steel Es 18,0001b./sq. inch. iire protection 2 inches concrete Shear allowable 40 lb./sq. inch bond 125 lb./sq, inch Floor beams:~ Built to act integrally with the columns and walls. M equal wlz/le Main steel Fs equal 18,000 lb./sq. inch Fire protection 5" on bottom of beam Shear allowable a0 lb./sq. inch Bond 125 lb./sq. inch Footings:- Allowable earth pressure Interior footings 4,0001b./sq, inch Exterior footings 5,5001b./sq. inch Es equal 18,0001b./sq. inch steel both ways Footings cont. Shear in concrete 40 lb./sq. inch Bond 125 1b./sq. inch Punching shear Was not designed for ceneral Notes:— All columns to have two anchors 7/8l2'-0" unless otherwise noted. horizontal bars shall lap 40 diameters at splices and lapped ior splice. Provide b--5/8"round bars over all openings in con- crete walls unless otherwise noted. Sag rous ior purlins to be 5/8" round. hiagonal bracing to be 7/8"round rods unless otherwise noted. Purlins in general to be framed flush On top with sup- porting beams. Provide bearing plates under all Wall bearing beams. Allow 100 lb./sq. inch on masonry walls. Anchor with 2-—4X5X%L clips. All columns resting on the third floor to have 2-~ %"rounXm'~-8" long anchor bolts unless otherwise called for. Roof Purlins It is quite evident that the purlins are entirely ample to take the loads applied upon them. The tabulated results seem to indicate that lighter sections could have been used in some cases, however. investigation of suitable standard listed in the steel handbooks has indicated that the most economical sections have been used. Purlin number 8 might possibly have been made of an 8” CBJ--101b., but in consideration 01 the Slight aoded cost 01 this member it was evidently thought better tobe oh the safe side in this type of structure where many persons will be housed. Purlin Table No. size [provided Ineeded Bemarks l. 6"CBJ-8.5f 14.8 14.7 lightest standard 1 sec- 2. 8"CBJ-10# 50.8 24.8 tion available yet ample b. lO"CbJ-ll.5n 51.9 54.9 ” 4. 12"CbJ-l4y 88.2 65.6 " 5. 6"Ch.-8.2# 15.5 7.5 " 6. lO"CBL-l5# 81.8 67.2 " 7. lO"CBL-17E 81.8 67.2 " 8. 8"WF--l7f 56.4 26.6 might use 8"CBJ--10# Sample Computations:- Purlin no. 1 6"CBJ~~8.5 lb. A--2.5O sq. inches I--l4.8 s--5" as from A.I.S.C. handbook. Distance between rafters 15'--8" Distance between purlins 5'--4" Roof purlins cont. Load-- 58f$6;_ plus 3.5 = 279.5 1b./ ft- 1 .- L}; z 279.5r‘15.7"2X12X5- s 8'X_18——,OOO - 14°72 shear:- Web area: 645/16 or 1&1/8 sq. inches -- p.721 . , - . v - 162Aflggg 5A}_6- - 1.700le/Sq. lnCh Rafters it is evident that the rafters have been selected so as to be of the lightest weight possible and still be on the side 01 safety. Rafter No. 6 has an I of 66.9 supplced where an I of 68.8 is indicated as being required. How- ever, this member is anchored eight inches into the wall and the wall ma; be considered as resisting the added bending. Rafter No. 4 might have beenmade of a 25 lb. 12" WE beam, but due to the difficulty of theoretically analy- zing the reactions in this rafter, a 50 lb.--l4" WF beam, which is only five pounds heavier has been used. No. 1. 2. 5. 4. 6. Size Max. Mom. ft. lb. 12"wr-25# 31200 10"03311.5# 12400 10"wr-21a 25000 l4"WF-30V 52000 12"CBJ l4# 18700 10"cn-15.afiea40 Rafter Table I had 185.4 51.9 106.3 289.6 88.2 66.9 Ineed 142 46.5 95.0 170.0 69.0 68.8 Remarks compression&shear 0k rt Wall takes some bend. Rafter Sample Computations R-l 12" WF-251b. A--7.59 sq. in. I--185.4 dé 2030 ‘020n7 .anv \ .‘W 2A5 I Zlfif \9 1 “#2000 \ , €000 \ \ , -/ $55 an ' R 530 \ w r __ ‘1 /6’-o" ‘ ‘ A asfio” 7 Maximum Moment’ 51.200 ft. lb. I _- 51.200.4{1216 _. 5. p 18,000 142 Have I of 18 4' Direct compression L/r is 65 alowable compression equals 14.950 1b./sq. inch S “ Eeig—g— : 2,5001b./sq. inch shear :-%Z%%%:ZX 24: 4,2001b./sq. in. OK Columns Supporting the Roof The main roof columns consist of H sections. framed t0 plates bolted onto the columns extending from the columns supporting the third floor.. The exterior roof columns con- sist of the third floor columns extended up sixteen inches above the third floor line to which the rafters are framed. hormer columns are built up of 2-4h5hi“ angles back to back. All of the columns are fully ample to resist the streSses applied. however those supporting the fun plat- form and the stacks have been enlarged in the interesttfl safety. Computation: _ Column No. 92 6" H-l5.5 lb./ft. I equal 50.1 Unsopported height 9 feet - Allowable vertical load from Steel Construction by A.I.S.C. is 65,000 pounds Load present: Roof 9.500 Column weight 500 Total 10,000 pounds Possible moment due to horizontal thrust of the wind equals 15,500 ft. pounds I : 15.500112re : 29.8 I provided equals 50.1 10 H Beam Columns supporting the Roof No. size Vert. comp. ponnds 6 515-15. 5&- 2.500 7. " " 92. " 14,400 95. " " 97. " " 98. " " 100. " " 105. " " 107. ".0 " 108. " ” 94. 6X6-20fi 25.400 96. " “ 104. " " log. .. .. 82. ere-15.51 17,000 65. " " 90. “ " 91. 4' '1 87 . " 17 , 100 8’8. 1' " as. " " $0?36. " " a5. " “ e4. .. 3 Allowable pounds 72,000 ll 65,000 Max. I Allowable 11.5 50.1 II n 28.5 " II n I! II II I! H H H H 1! u I! H 27.0 50.1 II II u I! H ll H Beam Columns Supporting the Roof No. Size Vert. compr. Allowable Max. 1 Allowable pounds .pounds 85. 6&6-15.5f 17,100 65.000 ------------------ 82. " " " 81. " " " 80. " " " 79. ” " " 78. ” ” 74. " " " 7o. " " " 100. " " "" 101. " " " 11. 8182—24.— 18, 000 75 , 000 26 . 6 46.5 14. " " " " " 21. “ " ” " " 24. " " " " " 5.9. 54. u u . n n Double Angle Columns Supporting hormer Roof No. Size Vert. compr. Allowable Max.1 Allowable 18. 42:82-72 6 , 5002 50, 200-7; 2. 2 2. 8 Columns No. 19. 26. 27. 50, 51, 56. 57, 40. and 41 are similar to column E0. 18 in all respects. Reiniorced Concrete Columns The minimum size reinforced concrete column allowed b3 the Joint Committee, 125112" with 4-5/8“ round bars long- itudinal steel and %" round ties at 12" spacing has been used wherever possible. The outer columns have also been designed to resist the moment set up b; the action of the wind on the walls. VWherever it Was necessary, the columns were increased in size to allow for added load. Columns. No. 8, l7, 19, 26. 51, 56, 21, 24, 55, 54. and 41 supporting J the first floor are Slightl} overstressed, having an Ec of 500 lb. per square inch, but the Wall may be considered as h taxiné pert m: the load. and also if the concrete is con- 7 sidered as 2.50010. coucrete the allowed 10 is 560 lb. per square inch. so the columns mentioned are evidently satis- factorg. Columns No. 28 and 59 are stressed to 520 lb. per square inch, however they also are exterior columns with the basement walls takiné part of the load. Column No. 47 was made a 12"h57" column rather than to make two adjacent 12"112" columns with thle masonry between them. This was done in the interests of more sim~ plified construction and economy of construction. Many of the columns seem to be OVerdesigned. Perhaps there is a reason for doing this which this investigation has not brought to light or which is be3ond. due to a lack 01 actual experience in design, the comprehension of the author. Reinforced Concrete Columns Third floor: No. Size " main Ties Maximum Fc Allowable Steel load 92. 12r12 4-5/8"rd. %”@12" 55,600 210 450 9b. " " " " " " 94. " " " " " " 95. " " " " " " 9o. " " "" " " " 97. " " " " "" " 9a. " " " " " " 100. " " 0 n .. n 101. " u u n .. n 102. " " " " " " 10o. " " " " " " 104. " '1 n u .. ' n 105. " " " " " " 106. " " " " " " 107. " " “ " "” " 108. " " 1 " " " "" 77. " " " 59,340 244 450 69. " " ~" " " “ 99. " 4-7/8"ro. " 47.000 262 450 70. n u " " " u o. " 4-5/8"rd. " 51.000 191 450 be. " " " “ " " 4o. " “ " " “ “ 5. n 3 “ ““ " n Reinforced Columns Third floor No. Size " Main lies Maximum Fe Allowed Steel load 42. 12112 4-5/8 "rd . %"‘~b12" 91 . 000 191 450 6. " " " " " " 41. h " h " " " 7 . '7 " " " " " 40. " " " " " " 9. " " " " " " l6. " " " " " " 16. h " " " " " 27. " " " " " " 19 . " " " " " " 26. " " " " ” " o1. " " " " " " 56 . " " " " " " " so. " " " " n " o7 . " " " " H n 29. " " " " " u on. " " " “ " “" 7. n n " 58,250 060 430 17 . " " " " " " as. " n " " " " o9 . " " " " “ " 11. " " " 22 .100 loo 450 14. .. .. u " " " 21. .. 3. u u n .. l5 Reinforced Concrete Columns fhird floor: NO. Size Main Ties Maximum Ec Allowed in. steel load #/sq.in. 35. 12112 4-5/8"rd. %”rd@12" 22.100 lb6 45o o4. " " " " " " 21. 5%"std. pipe 10.000r Allowed 45,100f 25. " " " " " Second floor: 78. 12x12 4-%"rd. %”@L2" 55,000 575 450 79. " " " n 1' n so. " n .. n n n 91. " v .. n .. nu so. " u .. n .. n 97. " " .. n .. n 88. " n .. n -' n 89. " n " n -- "" oz. " 4-7/8"rd. " 69,000 590 450 so. .. n -' u .. " 90. " " " " " “ 91. 1‘ n " " " " b. " 4-%"ro. " 55.500 955 450 7. u .. " "" " " 50. 3 " " " " " 57. u -' " " " " 40. n n " " " " 41. .. u " " " " 29. n " " " " n 9. n " " " " u No. 16. 10. 15. 28. b9. 18. 27. b8. 44. 45. 46. Reinforced Concrete Columns Size " Main Steel Ties Maximum load f 12r12 4-%2rd. %"c12" 55,500 " 4-5/8"rd- " 57.500 I! II If ll 7! u n II II II II H II N I?- III II N H H " 4-lfird. " 80,000 u .. .. n B u n u n n .. .. II I! II II A n u H II l». 5| II II I! '7' II II lBXlZ 4-5/8"rd. " 55.500 77 .. .. u n .. n n H w " e5,2oo n u n .. n .. u n n .. n n u .. .. n n u I! " linb? 6-%"rd. 6%"stu II pipe I " 45.000 load--18.600 allowed II II ‘ Fc Allowed lb./sq. in. 555 450 250 450 I! II I! II II II 4&4 450 II H II [I H II II II I! I! II II 044 450 H H [I II 206 450 I! H II II n I! n l‘ 97 450 45,100 ll 16 Reinforced Concrete Columns iirst floor R0. 55. 21. 24. Size lzilz ZlAbE ZlAZB n bingo lillr II N " Main Steel 4-5 /e “m . '22rdelz " 4-1"8q. " ll 4-7/8"rd. e-l"rd. Ties H II maximum lead # so, 700 106,000 125,000 U 91, 80, lO7Q 500 700 F0 Allowed lb./sq. inch 450 17 Reinforced Concrete Columns Eirst floor No. Size " Msin Ties Maximum 30 AllOWeu Steel ‘ load t lb./sq. inch 55. 12212 4-9/8"rd. iflro.c12" 107,000 500 450 34. " " I " H n u 41. " " " n u u 10. 12112 495/8“rd. " 58,200 550 450 10. " " n n u u 12. " " " " " " 1.9 . " " H n n ' u 44. " '1 " N n u 45. " n n .. n n 48. " " " " " " 11. thlé 4-§"ro. " 84.500 555 " 14. n .. n u u n 20. 12112 '1 " " 550 " 25. .. n n .. u u 02. " .. " " " " 55. H .. u " " " 28. " 8-l"rd. " 120.000 520 450 59. " iv n n u ‘u 41. " 4-9/8"sq. " 71,000 550 450 42. 14214 4-1"sq. " 99,500 595 450 45. 22122 4-9/8"sq. " 165,000 292 450 47. 12257 6-%"rd. " 75.000 155 450 48. 12212 4-7/8"rd. " 70.000 400 450 49, n v! " 49.500 004 450 50. " n " " " u Forst iloor cont. No. 51. 55. 56. 57. 58. 59. 60. 52. DO. 65. 64. 68. 69. 70 71. 75. 74. 76. Size 12112 I! " Main Steel 4-5/8"rd 4-7/8"ro. 22422 4-9/8"sq. N 16A16 14A14 12X18 lZXlZ H 3-1"rd. N 4-1"sq. 691"sq. 4-5/8"rd. 18416 8-l"sq. Ties %"rd.c12" Maximum load f 49,500 H II 55.400 159,000 121,000 IV 108,500 ll 146,200 49,500 160,000 30 ellOWed lb./sq. in. 504 450 n n n n u n n n n n n n 000 400 290 450 n n 554 450 u u 400 450 n n u u n n n u n u 485 450 504 400 572 450 n n n n n n First floor columns cont. No. Size " Main Ties Maximum Fc Allowed Steel 102d f lb./sq. inch 72. 12112 4-5/8"rd. %"rd.@l2" 40,000 250 450 Z 75 . H H [I n H n g 77. 12214 6-1" sq. " 155.650 472 450 ' 78. 12Xl6 4‘9/8"Sq. " 101,500 470 450 846. le’Ilz N H H H H 80 . n n n N H I! 90. u u u n n n 91. n n n " " Q 54 I H n H " " " 85 . II II I! H n H 79. " 4-1'qu. " 99.000 445 450 80 n :1 ll " " " 81. n n n " " n 86 0 I! H H " n n 87 . n n n H " " 68 n u " " " " 8 9 . n H II " " u 22. 5%"std. pipe load is 25.00015. Allowed 45.10015. n n n n n " " B Sectbon Columns Supporting the Second floor For architectural purposes, many of the columns supp- ortinb the third floor have been offset from the under col— umn and supportec on steel beams which also serve as floor beams for the secone floor. These offset columns set up an eccentricit; whose moment is more economically resisted by the use 0: a steel S beam column to support the floor beam which in turn supports the uiper column. It is also easier to irume a steel iloor beam to the H section column than to a concrete column. It is also peesible to save some on the total height of the structure in this manner, one therei re a great soVinb is mace. Lendinas were checzed with those listed 2s beiné 51105— able by the 2.1.-.0. huflabuuk. steel Construction. emple beer-iné plates have been provideu ior the columns to rest on. ' The steel beems are encased in concrete ior fire protection. Columns Ho. 22 and Eb of 5%" standaro pipe. concrete Iilled, are satisfactory to resist the loads applied and are economical. B Secthon Columns Supporting the Second Eloor For architectural purposes. many of the columns supp- ortinb the third floor have been of set from the under col- umn and supported on steel beums ohich also serve as floor beams for the seconc floor. These offset columns set up an eccentricit; whose moment is more economically resisted b3 the use 0: 2 steel 5 beam column to support the floor beam which in turn supports the utper column. It is also easier to frame a steel iloor beam to the h section column than to a concrete column. It is also poesible to save some on the total height of the structure in this manner, and therei,re a erect saving, is made. LObQings were checaed with those listed is being allow— able by the h.i._.o. huflabuok. steel Co struction. Ample Ocarina plates have been provided ior the columns to rest on. " The steel beems are encased in concrete ior fire protection. (3‘ Columns No. 22 and Rh of ‘5" standard pipe. concrete tilled. are satisfactory to resist the locus ampliea an“ ere economical. nteel Columns bupportins the becond Floor No. 'Kind Plate Load Allowed Bearing on lbs. Plate , lb./sq.in. 61. 83~31§ 1%K16X16 64,000 152,000 212 62“ II n u n n 65; " 1ex14x14 64, 600 " 278 64. n n n " u 65. n I! H n H 66. I! H II I! N 67. H I! I! H H 68. I! H 11 v v 71. 8H-48F 2&18X18 95.000 217.000 290 76. H H H H H 7b. Bfieeor " 85,500 180,000 262 74:. n u n n N 1. lLbAéA'o/B elem 11.500 14,900 177 2. n n n u N b. lZH-65y 2%l24x16 110,000 510,000 290 4. u u u n " 5. u u n I! " ll. 8"H-bl# lfi£12X12 eb,b00 157.000 500 12. " " " " " 1.3. n n n n ll 14. II n H '3 n 42. 123-6517 22(16Xl6 76.1550 310.000 500 4:9. ., 211202120 150. 000 510. 000 525 n V! 54. n n " 5b. " " " u n Footinge The allowable earth pressure ior outer lootinés is c.500 lb. per square font. Footinge fie. lb. 10, 49. emu 52 have enu Ep 01 b.8001b./equare foot, but some of this load can be considered as being taken by the wall. The remalnoer oi the footings are entirelg adequate to care for tne lOeQS applieo upon them. All iootings were checxeu 1a: shear. lor the area of steel. gnu jor bond in the eteel aflu were :ounu to be ver; 5 tiefoctory. Phe iootinbs were liret ceccxee ior earth preeeire. Punchiné sheer limitations are not reguireo in the epeciiicetlone, however, toe autnor oheczeo lot tnie item end IOunc tout approximatelg hell oi toe iootinbe mete aoeouotelg tnick to come within the lim- itetione set no o; toie speciliOetion. Comyutution bootlne 5 6‘-O"AG'-O"A17" lo-%"eq. burs Inoao” . g m <__ l_3\ L 610" T rfll % , 2 N K WIS; /! 6" cross earth pressure Hm I 111.000p1us 56x17/121150 _ be - b.bOOlb./sq. foot Net earth pressure E : 111 000 _ P -gg-—-- o.lOOlb./sq. foot Shear v :(56-14.7)5,100 _ 7-]4A4146 = 29.4 lb./sq. inch 8 area oi steel 7—9‘ 9 As ¥(£§9 l1p1us2.s“£.6)xo.100112 _ 0 c . h'I‘ 18.000K14X7/8 2 78 sq Inc vs Bond 3'1oox(56-1) u :412X15&14K778 : 85 1b. Per sq- inch Punching sheer d =l£ézllééll99_ = 18.8 inches 4&12A12 ho. size steel crossEp Shear As ‘ 30nd bars w/sq.‘ & sq." have need o/sq." z..8‘-6"A17'-o" 46-%“sq.l,160 8.5 12 12.1 87 a . H I! II H H H II 4. B'Ad'AZl" 18-%"sq. 2.220 30.4 4.5 ,2.8 59 5- 6'A6'Al7" lb-e"sq. 0.500 29.4 ' ll . V " n n 14 . n ‘ II II n n n n 18 . " n n n u n n 27 . " I! n_ u u u n Z 9 . " it n n n n n 50 . 'l n u n u n 11 $7 .0 W n n n u u u Footinss cont. No. Size Steel cross £p Sheer As Bong oars f sq.in. f/sq.“ have ncee E/eq.ic. 4o. G’iC'Xl7" 15-%"sq. 5,500 29.4 5.25 2.8 85 64, .. .. . .. .. . .. i. 6 5. n n n n n n n 66. n n n n n u n 68. n n u n n n u 78 . n n n n n n n 84. " " n n n ' n n 85 . " " " u u u n n 6.6'-4"26'-c"218" 14-esq 2,920 25.6 5.5 2.7 72 7. " v n " " " " 9 . I! H II II 71 'II I! 16 . " n n n u n n 19 . ;' n n n u n n 25 . :7 n n n n n n 51. n n n n u u n 56. B n n .. u .. n 41. w n n n n n n 6 7 . n n n u n n n 8. 7'x7'x19" 16-%“sq. 2.700 28.0 4.0 5.64 66 17. n n n n u n n 59. u n n n n n n 1.76 1.59 60 n W " 10.4'-¢"x4'-4"x14" 16-5/8rd 52.700 12-2 15. " " n '1 " " n 44. n " Footings cont.:- N0. Size Steel GrossEp Shear bars #/eq." #/eq." 12. 5'-8"x58-8"n2 18%"rd. 5,800 16 15. .. .'. .. .. 49. " " " " 50. " " " w 20. 5'15'2115" 19-5/8"rd. 2.600 19 25. .. .. .. u 52. n .. n u 55. . n . n 52. . n n .. 21.6'-8"X5'-8"X19" 15-e"sq. 5.200 52 24. ‘ u n I! N 55. " " " " 54. .. .. n n 27. n .. n .. 42. " .. " " 69. n n n " 77. " ’ " " " 22. 5 '25 'x12" 12-:}:"rd. 5. 620 o 25 .. {. .. n 55. " " " " 56. " " " " 57. n " " " 58. n " " " 45.8'-8"2LB'-8"X.32" 20-984 2.600 23-2 ~ 77 53. As Bond have need 0.9 0.9 46 n u n u n u u n u 2.09 1.27 67 n u n u Q n n n u n n n 5.75 1.85 85 n n n n n n u n n n n u n n n n n u u n u 0.60 0.41 105 I! n " II fl “ u n n II ll '1 u n n 5.0 5.24 66 II N " Footings cont.:~ No. Size Steel GrossEp Sheer As Bond bars f/sq.‘ f/Sq." have need 58.5'-8"1£5'-8"Xl7" 21-5/8rd 5,660 24.4 2.51 2.21 89 47. n n n n n u n 48. n n n u n n n 78 . II II II 77 ll 77 ll 80. . . .. .. ;. .. .. 81. e u n u n n u 82. 77 n n n n n n 85. " " " “ " " h 90. " " " " " " " 91. 7 " " " " " ; 87 . n n n n n n n 88. " " " " " " " 89. " " " " " " " 45.4'-8"X4'-8"X15" 17-5/8"rd. 2.860 16.0 1.88 1.14 72 46. " " " " “ I! ll " 51. " " " " 54.8'-4"XB'-4"X21" 18-%"sq. 2.540 11.0 4.5 5.56 75 71. fl 1' " II 59.5'-4"x5'-4"212" 15-2"rd. 5.750 26.0 0.70 0.55 108 60. -- n n n n u n 72. 8 u n n u n u 75. .'. n .. n n n 11 51° 7'47'419" 16-%"eq. 5.120 58.0 4.00 2.50 75 62. n .. n u n n . 76 . v u n n u n n u Footings cont.:- No. Size Steel GrossEp Shear as Bond bars i/sq.‘ f/sq." have need 75.7'-8"X7'-8"iei" 17~e"sq 5,000 24 4.25 5.27 75 74. _H II n n n 2;" ll 86.5'-4"x5'~4"x16" 20-5/8r6 5,700 26 2.2 2.12 94 Floor Slabs The solid slabs were assumed to be twelve inch wide rectangular beams. They were checked for main steel area. bond. shear, and temperature steel area. In checking for steel area. the actual resisting moment was compared with bending moment tn the slab. The solid slab floors were. found to be entirely adequate. The terra-cotta slabs are of 6&2 construction with five inch joists at seventeen inch on centers. The area of steel necessary was checked by comparing allowable and needed bending moments. The steel Was checked for bond and the joists were considered as tee beams and were then checked for shear. These slabs were found to be entirely adequate and in most instances closely designed The steel tile slabs are of 6&2 construction with five by eight inch joists at twenty—five inches on centers. They Were cjecked in a manner similar to that used with the terra OOtta slabs. They were all found to be adequate to resist the loads to be applied upon them. Floor Slabs Terra Cotta No. Maximum Moment '2 proveded needed 502. 2,200 1.940 505. 2,200 2,180 504. 2,570 2,650 505. 2.840 2.650 506. 4, 200 4 , 100 201. 2,700 2,680 205. 4.200 5,600 204. " 4,120 206. 2.200 2,180 *207. 2,750 2,700 208. 1,740 1,680 210. 2.200 2,150 7211. 1,680 1,280 ‘212. 2,750 2,500 '215. 2,200 1.650 214. 1,740 1,250 *215. 2,750 1,650 *216. 2, 200 1, 250 218. 1,250 520 * 4&4 construction. Shear f/sq. 51.1 52.0 55.9 55.9 21.4 I! Bond f/sq." 56.5 57.5 49.5 49.5 109.0 72.0 57.0 61.0 57.5 74.2 62.5 60.0 44.0 68.2 57.0 58.0 75.0 78.0 49.0 : . a . 4 n . p . .. . . o . n - a e c u p o O o. y e r . r o n . r r I . r r . . . t p . e p . c . c e e e r . . u. . . y c . . . . . u . . - . . 4 p . t h o l o . . e . . Floor slabs Steel tile slabs: N0. Maximwm Moment ‘5 Shear Bond Provided Need fi/eq." fi/sq." 219.. a‘.'é*’,*7(’5(5*‘ 5,400 58.0 76.0 5,540 220. 1,575 1,500 59.0 55.0 221. 4,800 4,640 56.0 80.0 Solid slabs: No. Size Maximum Moment '2 Sheer Bond allowed Have fi/sq." f/sq.“ 501. 5" 7,100 5,570 11.5 77.0 507. 5“ 4,500 2,150 12.5 '85.0 7 202. 5" 670 515 11.5 77.0 E 205. 7* 2,700 1,150 12.2 57.0 F 209. 4" 550 250 10.6 110.0 i 217. 4" 550 182 10.5 110.0 g 222. 4" 560 409 12.9 124.0 1 Sample computation: Solid slab s 202 5" thick with 3/8"rd.@8" centers and temperature steel 5/8"rd. @ 18" centers Load; hmve 75f/sq.' Dead 62.5f/SQ. ' Total 157.5f/sq.' m x. M_: 157.52515212 10212 = 450'? .Max. Moment allowable As 3 O.l?sq. inches m.: .17412k30025x7 : 670 ft. Pounds kIIIIIIIIIIIIIlllll---::___________ r , Computaions cont. Bond a 157.5x2.51858 : . 1221.1827X5‘“ 745/89‘" Shear : 157.542.5X8 _ . $25725 “‘ ‘ 10-9fi/Sq-‘ Temperature steel As 3 .00221215 3 .072 2 Have .llLlZ S 18 ‘ .075 Terra cotta slab; 5201 6&2 5"joistol7"0.o. Moin steel l-%"rd Eye and l-5/8"rd. Load: Live 50.0f/sq.' Dead 62.5f/sq.‘ T t 1 112.5” . ' o a r/sq 1lzigx17 : lBOfi/sq.‘ on joist Maximum Moment Have : 160X13X15X15X12 _ 10 - 2.700 "# Allowed : .51X2X18,000K4 : 2,700"# Shear = 18056.5XB- 715215 - 59.4i/sq. " '72435.55 = 72F/Sq‘ Floor,Beams The concrete floor beams are either rectangular of tee beams, the tees being full, left, or right sided tees as in- dicated in the beam list included with the structural plans. These beams Were checked for area of stteel, stirrup spacing and for bond on the steel. The beams are apparently all entirely adequate, however, this author cannot comprehend the reason for designing so many different beams, which vary only slightly as to size, amount oi steel, and placing of steel. Some of the stirrup spacing variations are also beyond the understanding of the author. The steel beam floor beams used to support tjhe second floor were used because of the desitability of providing a clear span over the dining hall and the elimination of all columns in the center of this hall. They Were also used where for architectural reasons the columns supporting the third floor were placed eccentrically with those columns directly below them supporting the second floor. This ecc- entric placing of the columns sets up a large moment which is better resisted by the use of a steel 1 beam. These beams were checked by comparing the I proveded from the steel handbook with that necessary to resist the bending moment. They are all entirely adequate to resist the moments and shears applied. 12Ll5 12520 12524 12x20 315. " 12Xl6 12x26 12120 12&18 8&16 12K12 12X20 12122 12£20 12K10 8X18 525. " Size Tee II n 25 19 14 19 Table of Floor Beams Main steel straight bent 5-5/8rd 1-%rd 2-1"sq l-lfd 2-l"rd " 7 2-%"ro l-%rd As sq“ have need 1.56 1.54 2.78 1.18 2.55 1.75 1.55 0.71 2-5/8rd 2-5/8rdo.92 0.85 2-1“rd l-lrd 2.56 1.56 --2-5/8rd l-%rd 0.42 0.21 ~-l-5/8rd 1-%"rd 1.19 1.08 18 16 19 16 21 16 19 18 l-%rd 2-7/8rd l-7/8rd1.8 1.57 2-&rd 1-7/8rd l-l"rd l-l"sq l-l"sq 2-7/8rdl-7/8rd 1-1”rd 1-7/8rd 1-1"sq 2-7/8rd l-grd 2-l"sq l-l"sq l-7/8rd1-l"rd 1-1"rd 2-7/8rd l-l"rd l-5/8rd l-%"rd 1- "rd ‘ 2-%"rd l-s"rd 2-7/828 1-%"rd 2-l"rd l-l"sq 1-7 /8rdl-7 /8rd l-l"rd . 2-5/8rd 1—s"rd " l-5/8rd l-6/85d1-%"rd 1—%"rd 1.48 1.28 2.78 2.42 1.80 1.22 1.58 0.78 1.84 0.71 5.00 2.00 2.58 1.99 1.98 1.40 1.19 0.89 0.59 0.45 1.64 1.18 2.57 1.50 1.98 1.80 0.81 0.55 0.92 0.48 1.19 0.85 Bond Stirrups f/SQ" 87 5/8"rdc5“ 85 “ 87“ 112 " 88“ 80 " ' 87“ 125 " 86“ 85 " 48" 80 ------- 114 5/8"87" 100 " 105 " 128 " 125 " 128 " 85 " 110 5/8"88" 128 " 87" 112.5 " 85 " 92 --.IJ--- 95 5/8“@9" 107 " 57“ 85 7 s9" 64 ------- 7o -------- 80 5/8"88" 55_ =15: it"s: ":21.- .‘r_‘-_ "' ..'".- '-' .- -.'."-’-"—.- _I L". ' "'3"'5"‘":*-“-i-'-=;-:-.-.'; -.-' 1.1. size Tee II N 12515 12120 25 19 14 19 16 12X24 19 12X20 16 515. " 21 12X16 16 12x26 19 12120 18 12118 8216 12412 12220 12122 12A2O 12210 8X18 525. " Table of Floor Beams Main steel straight bent AS sq" have need 5-5/8rd 1-%rd 1.58 1.54 2-l"sq l-lfd 2-l"rd " I 14228 2-%"rd 2.78 1.18 2.55 1.75 1.55 0.71 2-5/8rd 2-5/8rdo.92 0.85 2-l"rd l-lrd --2-5/8rd 1-%rd 2-&rd 1-7/8rd l-l"rd l-l"sq l-l"sq 2—7/8rdl-7/8rd l-l"rd 1-7/8rd l-l"sq 2-7/8rd 1-%rd 2-l"sq l-l"sq l-7/8rdl-l"rd 1-1"rd 2-7/8rd l-l“rd l-5/8rd 1-%“r8 l-%"rd 2—$"rd l-%"ro 2-7/8r8 1-%"rd 2-l"rd 1-l"sq ‘ 1-7 /8rd1-7 /8rd l-l"rd 2-5/8rd l-%"rd " 1-5/8rd 1—5/8581-27r8 l-%"rd . 2.56 1.56 0.42 0.21 --1-5/8rd 1-%"rd 1.19 1.08 l-%rd 18 2-7/8rd 1~7/8r81.8 1.57 1.48 1.28 2.78 2.42 1.80 1.22 1.58 0.78 1.84 0.71 5.00 2.00 2.58 1.99 1.98 1.40 1.19 0.89 0.59 0.45 1.84 1.18 2.57 1.50 1.98 1.80 0.81 0.55 0.92 0.48 1.19 0.85 Bond Stirrups f/sq" 87 5/8"r845“ 85 " 87“ 112 " 88“ 80 " 87" 125 " 88" 85 " 88" 80 ------- 114 5/8"e7" 100 " 105 " 128 " 125 " 128 " 85 " 110 5/8"88" 128 " 87" 112.5 " 85 n 92 --n--- 95 5/8"@9" 107 " 87" 85 " c9" 84 ------- 7o -------- 80 5/8"88" 55_ Elloor beams 0 Tee No. size II n 526. 8515 20 527. 12518 21 528. " 18 8118 21 12X55.5" 8X18 21 8228 -- 8128 -- 545. 12218 21 544. 6&16 -- .201. 12514 18 202. 12512 19 205. " 14 204. 8118 10 205. 12518 21 208. 12110 18 207 12X16 18 208. 12220 21 209. 12214 18 210. 12X12 16 ont.: Main steel straight bent l-7/8"rd l-l"rd 1-l"rd ll 2-7/8"rd l-7/8"rd 1-5/8"rd 1-%"rd l-%"rd 2-l"rd 1-1744 2-2"r8 1-&"rd 2-%"rd l-%"rd 2-£"rd 1-§"r8 l—5/8"rd -%"rd 1-2"rd I! ll l—%"rd 1-5/8”rd 1-5/8"rd 2-5/8"rd " 2-%"rd l-%"rd II II 2-7/8"ro l-l"rd 2-%"rd l-%"rd 2-2"rd 2-%"sq n . 2-%"sq 2~%"rd 2-ffird l~%"rd 2-l"rd 2-7/8"rd 2-4"sq 2-5“sq 2-%"rd 2-5/8"rd 2-1"rd 2-7/8"rd 2-%"rd 2-5/8"rd 2-5/8"rd 2-5"sq- AS Sq." have need 2.17 n 1.80 1.19 2.56 1.55 0.59 1.55 1.19 0.80 00.92 0.59 n 1.98 0.59 1.58 0.89 1.55 2.78 1.00 1.49 2.97 1.49 1.11 1.04 1.51 0.79 0.45 0.78 0.58 0.52 1.18 0.95 n 0.69 0.84 0.09 1.05 0.15 1.20 1.40 0.54 0.59 2.79 0.59 1.10 1.17 1.10 0.86 Bond Stirrups f/sq.” 89 5/8"r485" 90 "97 ll 86 “ 76 " 45 5/8"r489" 75 " s7" 87 " 88" 125 " @6" 104 " 87" w H 88.5" 115 " 88" 81 " 97" 20 ------ u ..... 122 5/8"e5" 79 ------- 120 5/8"rd86" 128 " @5" 150 " e7" 51 - ----- 124 5/8"rac5" 5o ------- 75.5 ------- 57 5/8"rdc5" 101 " 70 5/8"rd96" Elloor beams cont.: N0. size [I 526. 8515 527. 12518 528. " 529. SE18 550. 12X55. 551. 8X18 540. 8128 541. 8426 545. 12218 544. 8418 201. 12214 202. 12112 205. " 204. 8218 205. 12X16 208. 12110 207 12Xl6 208. 12220 209. 12214 210. 12212 Tee n 20 21 18 21 5a 21 Main steel is sq." Bond stirrups straight bent have need r/sq.“ l—7/8"rd 1-1"rd 2.17 1.04 89 5/8"rdt5" l-l"rd ll " " 1.51 90 "87" 2-7/8"rd 1-7/8"rd 1.80 0.79 88 " l-5/8"rd l-%"rd 1.19 0.45 78 " l-%"rd 2-1"rd l-l"td 2.58 0.78 45 5/8"rde9" 2-2"r8 1-&"rd 1.55 0.58 75 " s7" 2—8"rd 1~9"rd 0.59 0.52 87 " 88" 2-2"rd -%"rd 1.55 1.18 125 " @6" l-5/8"rd -%"rd 1.19 0.95 104 " 87" 1-2"rd [I I! I! I! H b6 . 5 IV 1‘%"rd 1-5/8"rd 0.80 0.89 115 " 88" 1-5/8"rd " 2~5/8"rd " 00.92 0.84 81 u @7 2—2"rd 1-%"rd 0.59 0.09 20 ------ II n n n H ..... 2-7/8"ra l-l”rd 1.98 1.05 122 5/8"e5“ 2-%"rd l-%"rd 0.59 0.15 79 ------- 2-§"rd 2-%"sq 1.58 1.20 120 5/8"r488" " " " 1.40 128 " @5" 2—%"sq 2-%“rd 0.89 0.54 150 " 87" 2-f7r8 1-%"rd 1.55 0.59 51 - ----- 2-1"rd 2-7/8“rd 2.78 2.79 124 5/8"r885" 2-5"sq 2-%"sq 1.00 0.59 50 ------- 2-%"rd 2-5/8"rd 1.49 1.10 75.5 ------- 2-l"rd 2-7/8"rd 2.97 1.17 57 5/8"r885" 2-%"rd 2-5/8"rd 1.49 1.10 101 " 2-5/8"rd 2-%"sq. 1.11 0.88 70 5/8"r888" 4_—____________;::::IIIIIIIIII. T,___fi Floor beams cont.: No. Size Tee Main Steel As sq.“ Bond Stirrups .- straight bent have need f/Sq." i- 211. 12118 25 2-l"rd 2-7/8"rd 2.77 1.89 70 5/8"r885" 212. 12512 19 2-2"r8 2-%“sq 1.58 1,10 104 ......... 215. 12214 29 2-7/8"rd 2-7/8"rd 2.41 2.22 128 5/8"r887" 214. 12X16 21 " 2-%"r8 2.08 0.94 72 " 88" 1’ 215. 7418 15 " 1-%"rd 1.84 0.88 77 " 97" 5; 218. 8&18 11 2-%"r8 l-5/8"rd 1.19 0.92 85 " 1? 217. " 10 2-5/8"rd " 0.92 0.72 75 25r889" I 218. " -- 2-%"sq. l-5/8"rd 0.81 0.77 85 5/8"r889" 1 219. " -- 2—%"rd. 1-8"sq. 0.84 0.47 90 " 912" E? 220. " 10 2-5/8"rd 1-%"rd. 1.05 0.77 90 " 1 221. 12118 -- 2—%"rd. 1-%"sq. 0.84 0.47 104 " 1 222. 8518 -- 2-%“sq. 1-%"Sq. 0.75 %:51 58 " T 225. " -- 2-5/8"r8 " 0.88 0.59 80 " 1 224. " 10 " 1-%"r8. 1.05 0.92 110 %"r888" i 225. 7 -- 2-%"rd. l-%“rd. 0.59 0.51 74 1" 57" i 228. 12212 20 2—%2rd. 2-5"sq. 1.58 1.54 118 5/8"r488" , l 227. 8X18 -- 2-2"aqtop,2-8"rd bpt0.50 0.17 50 ------- 3 _ 0.59 0.14 _ 5 228. 12X18 18 2—7/8“rd. l-7/8"rd.1.80 0.79 88 5/8"r888" . 229. 8228 -- 2-%"ra. l-5/8"rd. 1.19 0.87 58 " 59" I 250. 8X18 -- 2-%“rd. l-%"rd. 0.59 0.25 48 ------- i 251. " -- " “ " 0.51 75 %"rd@8" 252. " -~ 2-8"sq. " 0.70 0.59 88 5/8"r8810" 255. " -- " 1-5"sq. 0.75 0.59 85 7 H 255. " 10 2-5/8"rd l-5/8"rd 0.92 0.45 85 258. 12114 28 2-7/8“r8 2-%"rd. 2.08 1.27 94 5/8"r885.5" 257. 12125 22 2-1"rd. 2-l"rd. 5.14 2.79 84 " @107 l A—-——-------IIIII||||||||||II floor Floor beams cont.: 56 No. Size Tee Main Steel As sq.“ Bond Stirrups straight bent have need 7 sq" 258. 14828 20 2-1"aq. 2-1"sq. 4.00 2.81 80 %"rd@7" 259. 8X18 15 2-%"rd. 1-7/8"rd. 1.48 0.74 78 5/8"87" 24° 8X55 -- 1-2"sq. l-%"sq. 0.50 0.11 54 ------- 241. 8255 -- l-%"rd. 1-%“rd. 0.59 0.11 41 -------- 242. H -- n n n n n ________ 244. a -- " n H II n ....... 245. " -- 1-5/8"rd. 1-5/8“rd. 0.81 0.58 87 %"rdb8" 245. 7 —- 2-%"rd/ 1-7/8"rd. 1.48 0.59 41 5/8"812n 248. 8X18 18 2-7/8"rd. " 1.80 0.58 55 5/8"88" Steel floor beams N0. 555 l4"WF-58f I required-250 I proveded-597.9 v-1.Z7O N0. 542. 12nwp-257 plus 12X5/16"plate I required- 518.4 I provided-~298; shear is low. 36"WF-194f I required-~11,000 I provided ---12,103.4 18552-1247 required~- 1,412.5 1 proviced-- 2.227 18*WF-965 required-- 1,412.5 I provided-- 1,647.7 required-- 465 I provided--585.6 1 1 87wr-197 1 requiraed-- 45.5 1 proviued--64.7 50752-1802 I 1 18581-854 required--686 I provided--1,429.9 12"CBL_16.5f I required-- 78.5 I PTOViQed" 105°5 122WF-525 I required-- 180 I pr0Vid6d"245~8 18758-782 1 reqmirea—-855 I provided--1.042o6 Computation of Floor Bewm Reinforced concrete beam: 8-224 8118-10"T 2-5/ "r8 hook 1-$"rd. 850 %"rd. stirrups 88' q Load: 2 Live SOr/sq.' Dead 62.58/sq.' Total 112.55/sq.' 112.518.25 plus 185 equal 950 f/lineal foot Maximum Moment 3 2§9§%%él§§lg: 209,000"? AS I 209,00018 - 7X18,000X14.5 “ 0.9289. inches Have As of 1.05 sq. inches Bond:7§f2§7kgfg = llOlb./8q. inch AllOWed 125 lb./sq." Shear I gggéggggg : 611b./sq. inch 0.10118 OOO - Stirrup spacing : 8 61_40 - 10.8 inches f"rd. stirrups at 8" OK nteel iloor beam: 56"WI‘-l941t I I 12,105.4 # fjooofl owe 1 Mia” 3T .1 (/2X/l3-I- /94 +300) floor fined/ If. L 39’-0 " a, 734,000” 34”" gasvxazf 435m"f b7 Steel floor beam computation cont.: 3 10,760,000 inch pounds 1 = $2 - 10 780 000118 = s ‘ “‘T820006 ‘ 10'760 Have I of 12,103.4 Shear : 5.6000 plug 54,100 = 56£0.77 2.500 1b./sq. inch 0K _D( I) Ill v I8 T III/2 I fl R llg E”4 V I1 I III Nflllad U”O mfl/da Aflg T / SIIZ TEL iMIIITIIIIIIWIJIIWITS 930