A REINFORCED CONCRETE STADIUM DORMITORY DESIGN Thesis for tho Dagroc of B. 8‘ HICHIGAN STATE COLLEGE Arthur William Snow 194.7 JHESIS Reinforced Concrete stadium Lormitory Deeifn A Thesis Submitted to The Faculty of LIC;135T STATE CeLLiBE of ." 4':- 7". r"Y I " {WTTTI'V‘J TU “ r'\ 7.71)- 11‘1‘ C {‘1 r .A {"3 14.41114"- .LJ-~‘--.'.. firgl 11;. L4 .LL UV 3..“ vi; Arthur tilliam Sncw ’2)“_-fl~mm Caneiaate fer the Degree of Eachelor of Lcience June 1947 ‘3‘ ":'r\l‘.‘ Lv-‘f v...~‘ i,"m ."1~V'i,1 \J.. “l." iii .L ‘CJLY with the generous aid and cooperation of the departments of engineering, drawing and design, athletics, and finance, and the college engineers was it possible for me to attack this genuine problem with actual existing data, and arrive at a practical workable solution. I wish to exnress Hy rest sincere thanks to Professors C. L. Allen and C. A. filler of the Civil Engineering Eeoartment of iichiyan state College and to tt of the Denartxent of Lrawing and .1 FT) “'5 80 Professor 3. 5. Design, iichigan State College, for their help, nat- ients, and suggestions. Also Hr. Claude R. Erickson and K . Alfred Howell, consulting engineers, who fur- soil data and technical advice. ’f 13%»; " .-' ..q_. \_’ L2, J ‘- u, L; '1 .4 INTRODTCTICN ,— In the school of enrineering a thesis is required of the :iudent for a Vachelor's Degree. This is to stimu- late thintin; on a major practical probler, and to bring into play the c rhined use of a number of his major subjects. “ecause of thc need of enlar-ing the present Kacklin :ield stadium and th even more important demand L) for more student housin: facilities, I have chosen to make a preliminarv stadium dormitory design. To attempt will be made at detuils or detailing. The purpose of the desifin is to arrive at a general, practical, uorkahle plan. This to be arrived at upon consideration of all of the major factors for their best employ. In other words, an ade- quately strong and spacious stadium where everyone has a good seat. And a modern dormitory utilizing maximum siace from the stadium, yet 918a£ln£ the student in c mfort, conven- ience, and suitability. L21- - \‘1 SK - f‘! L) -1 - (hm-bk)! South Elevation south Llevation s etch of Elevation section Floor Plan Layout Framing iketch Sketch of Fawn Location sketch of :aetiny Plans Lketch of Seating Slab wrrm’ I v r‘ s, .LJ LUL‘J .A. hesis on a Stadium Dormitory I. SEVERAL LA?CET Seating to meet requirements Visability Euilding plan for maximum dormitory space Pno A ILITY or FILLIia The Ltfiilicsy H H 0 20 year research Future predictions III. LAVCUTS AND SEX HAL PLAYS Elevations Ramos and Elevators L; I l! . LT L3.) I GET ’1‘ 3;. T beating slab Eeam Girder Column Footing f‘W“rfiV«‘ I,‘-‘]V/‘\ 7] 1:. 1;."me LA}. \JLII Seatinj to Feet Requirements The present seatin; capacity of lachlin Field Stadium is 23,000 seats. With an ever increasing student body a larger section for studerts is required and the school is drawing larger crowd attendence by its national football prominence. Therefore the fiyure of 50,000 seats desired by the athletic department would not seem out of line. This calls for an addition of 27,000 seats. ?ow Ty building up the south end zone (see Plate To.l) to match the existing side stands, about §,000 seats will he added. *7cco {- 336' = 20.6 seats/ linear' Average L new end 5&0 $ 320 1: 440 linear feet fl 2 20.8 x 440 5- 9,152 =eats for the new end I This leaves 13,000 seats, or 9000 seats per side. Now by doutle decxinj these si es it will be seen that I can get every spectator to within 315' of the center of the field, also I will obtain a well elevated vieWpoint. Closing in of the south end puts the sun at the Spectators backs and elirinates that low afternoon sun in the eyes of a large portion of the eas stands. Another advantafie Of double decking is a narrow building thus eliminateng a larve mount of irtice room space ior the dormatory. This will be taken up in elevations. *Actual figure slightly under 7,000. Visahility The existing stadium is designed on a good sight curve. See sketch SH-l. Calculations for a continuance of this paactice follow: I ~‘flWleW9' gear! / -- _T // r--j/ / ,- / \ ‘x \ . I 0 '-1y*" _ _ C .. 4.! __ A LA ‘Q ‘,/" ‘9 I ._.._._.._... I/f’ .z’ .m‘wr uw: «cu/wt a 44-51): Nomenclature a horizontal distance from assumed sight point to spectator in first row of seats. b vertical distance from assumed sight point to lowest floor elevation of stadium at feet of let spectator. c assumed vertical measurement from spectator's eyes to tOp or head. Also the vertical clearance from his focal ray to the eyes of the preceding spectator. d width of treads or back to back distance of seats. 6 assumed vertical measurement from floor to eyes of seated spectator. Equal to sitting height less 0. f assumed vocal or sight point taken as original of the sight line curve. o origin of stadium section curve at riser xv co-ordinates of stadium sectio origin. 2 vertical distarce from tan: intermolated irom Taole 111 pexe u b - e X Constants A' 3 a-112' Due to the distance to the field ment of change between rows cirders will be assumed as straight; ion should meet the following: x u z 2.17 Ti“ (-43 4.24 2.17 0.65 6. 3.25 1.29 .>:L 4.34 1.72 10. 5.42 2.15 13.00 6.50 2.65 15.17 7.56 3.15 17034 8067 3065 15.51 9. 5 4.15 2 .66 10.54 4.66 23.6 11.92 5.21 26.00 13.00 5.74 25.1 14.06 6.27 50.} 5.17 6.80 3.5? 5.25 7.36 34.68 17.34 7.E2 36.65 6 .42 8-48 39 00 19.5 9.04 41.17 20.5C S. 53 43.34 21.67 10.22 47.68 23. 8 11. 4C 49.85 24.C2 11.99 52.CIO 2:).CO 1.2.01. 54.17 27.06 13.23 55.34 28.17 13.85 56.51 29.25 14.47 60.66 30.3 15.09 20 and the I1 CUT’VE W 1 t1} ent to curve base of first 0 as (values 3‘ ‘ (ft. vw” \| 46.6 Qtd.vluil. / 0.”. C. we) b-SZ' 6-2.1? small incre- ior the purpose oi desijn 1 1. 51 3 03 4. 54 6. C6 7 57 S 15 o. r 2 l 1 13.:0 15.52 17.13 16.74 20.32 21.€7 23.61 25.26 26.90 26.54 30.21 31.69 33-55 “5.24 36.91 70.61 40.31 42.02 43.72 45.43 the however the construct “\NFJC o o {r} .23. O\:'1(D (D WC) zs Our 0 m 3 f".\ I_ f‘ \T‘. -l O ‘ C V 1' 1>.p~i>_p~\s\31\x \ -\N NOC‘ OCCNUW PWUl Puilding Plan for haximum Dormetory 6pace The problem of a dormitory in a stadium is one of light and ventilation. Air conditioning will make inner rooms liveable but not desireable and also such mechanical fixtures are subject to failure at times. Die- comfort or sichn as, cver a few days may toll heavily on a students eradee and progress. After a series of arrangements 1 hit upon a solution that will provide light and ventilation to all of the student roore. Cf course the problem could have been solved read'ly in a manner similar to the Chio Ltate Stadium (inner ward eleeping rooms, eix per room,and outer qrouo study rooms}. A wore desireahle arrangement is two men per room and the room large cnou h to permit study. This plan L's been accepted and adopted throughout the l gJ nation. Now if I have an eight story building (see sketch XK-l) the sixth and seventh floors can have Windows sheltered by the stands elah. The fourth and fifth floors will have their windows behind steel bleachers, tut a good percentage of light will come throu h and their iunction as ventilators. will he as {food as any windows. The third floor will be lighted and ventilated by shyliihts under the steel bleachers. The first and second floors will be necessary for lounges, reading and recreation roo e, and 1 can therefore b. well served Cy artiiicial light find air conditioninj. This plan should make all student rooms suitable and utilize all available space to advantage. PHu”A“ILITY DF FILL7PG T;E DLRQITLRY Enrollment and Available Space The following are the enrollment statistics for Hicnigan £,ate Colle:e from 1926, as secured from the finance department. The war years were ouroosely omitted. lear No. of btudents 1923 3192 l§27 3503 1928 3816 1929 436 1930 4436 1931 4516 1952 4175 1933 3538 1934 3745 1935 4843 1955 5610 1937 6551 1938 7505 1939 8345 1940 8410 1946 Post-war 15500 The above would indicate a trend of normal growth and dormitory facilities have always lagged far behind en- rollment. There has never been a time in the history of the school when its living quarters have not been filled to caoacity. Theoresent building program for permanent_ quarters will only facilitate TSCO students. It would seem a safe assumption that the addition oi a dormitory for 880 will be very necessary Ior years to come. And that revenue therefrom could be figured on capacity. To back up his contention is a graph taken from a repoxt to the Rich- igan Legislature by seven Nichigan college presiden s. .Enrollment Predictions for Michigan Colleges MIA ‘0‘ 1..-»... 4 t t :2 lll' ‘nDao 73375 IJEIT' Elia While the influx of veterans has created a "bulge" in college enrollments, our colleges would be over- crouded without them, now and in the future. *The above taken from "Status of Higher Education in Michigan" LAU’E AFB 'i_‘T‘r§1\77*}‘-.51.L PLANS - . ‘, , __} "1' -"‘ .. I] 1: 7‘ 1;:1xetCiie-I; ;._'.'"."C anc u;‘~.."3 (D Floor Plans be Eeneral Features 1 Fire resistant construction, with respect to both framework and interior finish. hound deadened floors and principal partitions. Dining room located in new south end with kitchens. Reading and Recreation rooms. Social hall or lounge. Separate sleeoing rooms with not more than two persons per room. Large windows fitted with screens. Good system of ventilation. Data on Student Rooms 2 The "tvpical" double room for dormitories as given by Klauder and Wise measures 12 x 18 feet. The min— imum area for double rooms suggested by the Institute of Eccnomics section -- 140 to 168 square feet. The height of ceilinfs in student rooms should be not less than 8; feet or 9 feet for double rooms. Path and toilet facilities should aluays be sufficient to encourage hygienic habits of iivine. In no case should there be more than 5 students assigned to one fixture. 1.”The Ecsign of a College Lormitory for ken”by W.A.iowwastcr 2."Planning Fesidence halls”by Harriet Hayes Tabulated below are the lavatory Computations on the besis of: toilets - 3' x 4'; shower and towelin: space - LJ 6' x 5'; tubs - 6 x 6'; lavatories - 3' x 4' 51h Floor 8th 6th 4th 3rd 2nd 1st 1 7th Students 17* 21 17 16 use 23 stadium Toilets 36*% 48 36 36 yen's 45 Room Showers 72 95 72 72 i 192 o O LN O\ H O CO (3 l._.J O O *‘5 q \ (”4 r s 2 <: 1 " m w l L)\ t l J:- 5\ W Ch _;> ”I“ 324 F3 0 H- 93 H H {>- 4'5“ [\3 m (2') [U K 71 F0 f-J 1:- 4:- Avail 176 264 340 160 480 (must carry lounge load) * No uni.s I. ;’W *ssquare feet 2nd Floor 5 adium Lavs: basis 7 fixtures / lCOO Toilets — 7 x 4.5 equals 32 toilets x 12 sq ft is 3°4 Lavs - 7 x 4.5 32 12 gag 733 sq it Ken's space required 384 available 414 sq ft Women's 554 414 Elevations Due to limited time very little was done on appear- ance. Plate 2A was cornleted far enou h to get the picture in mind then Plate 2 was substituted for better design. 1he false columns were subsequently added to give the building strength appearance over the blank elevator shafts. However, the rain purpose of Plate 2 is to fix the aostract shape. All details are beyond the SCOpe of this problem. .u L b-1‘ ‘4 n “6 ~s< .._'4-» 4... r "it '. .--._- ' .n -6 .. ; t- " Q .. < A . C -4, ‘. ~ 2 at». -s. v-~»~ #- 4 ‘.A..‘ V. .. " Ar;- .\~ ‘. L3 3 f D 1. - . «‘2 6 .. , .3 i I ‘- «1 ._ .1 harps euxi Elevatormi 1 4 1 O 1.) SIC-4. The plan of 1" [1 A I1-r ‘— 2 ,‘.~., ‘7 . ~’ sec EnGtCuG p.-l, Uh—h, an r L six sections per side has been carried on from the existing stadium. This means each exit from the unper stands must pass 910 spectators and each exit from the steel bleachers assumirg 1 person per 2' width ner second, a 6' exit will pass 150 seeple pe rinuie, or clear the stands in 5 minutes. The two exits nest on the 4th floor and tie race becomes 9' wide. These peeple from the bleachers have a start on the peOple irom the upper stands of 150' of travel or 2% min. be that the 8' ramp moves 240' people per minute or 500 of the 638 out before the Upper st nds people reach them. W The ramps have a 1 to 4 slope recommended in the book "The stadium” bv Lyron terbv. The elevators as an auxiliary aide can he employed and will facilitate those who are una*le to climb or sillin: to wait. The elevators have 7' x 7' cabs and can carry 20 people. It must serve 56 students. This should be adequate but could Fe reduced or enlar ed very easily upon more study 0 f the p roitrlezz". . DLDIEN TEsT The purpose of this test is to so through and make a quick check to the footings to find out how large the columns and footings will need to be. This can be used as a basis for determining the feasibility of con- structin: with reinforced concrete and at the same give the writer some design practice. Seating slab See SK-S, SK-E, and sK-6. For the purpose of design ssume straight sections between girders. Y heighth from good sight formula y:: u +-z 56 x 30.68 r- 15.34 + 7.04 :1 22.38' 1‘12 SEX 41.68: 20.84 4. 9,38 ,3 31.22. 112 5g X 60'68 30°54 15-09 45.43 corr'd to 45.50' 112 1 , 31’- 3” ”'“0‘” 19’—0” Dead load weight of steps Ht Of A risers 22055 = 1.59' or 1' 7" 14 Ht of E risers 5.8 : 1,77' or 1:_ 9M 14 Ht of C risers 15.28 c 1.91' or l"-ll" Design of Seating Slab Continued Assumptions: Girders to be 56 - 18.67' 0-0 3 f' _ Beams to be horizontal dist apart f: - f - A - 50 - 6' n5 - 5 v - Logo- B - 11- 5'5, IOLO- 2 cover - BM - C - 18 - 6' 3 For design use 6’ c-c clear span 5' 100 100 85 _CO 3?59/' BM - 1 335(5)2x 12 - 837C;”# 12 am - ch - 1350 x 12 x 2 d2 '400 d- Live Load - Impact - Step Load - Slab Load - 1/5 x 150 11 "’ 2 + L05 " 3.5" "' 0242 sq H .403dx 2|! 8370 Aq- L EOOCOX.8$7X2 m - fsjd Try 3/8 ¢ bars e 5” Bond - u - V - 205 allow fifo jd 205:150-5zx 335/2 (5) - . :‘o : -— or 3:: H 335/2 iii - 12x.bS7x2 X — 3.56 spacing Shear - v - V — 40.2 allow .1 ojd use Positive steel 3/5 ¢ rode e 3;" c-c, begative Steel 3/6 s-rods s 3;" 0-0, 1.5 *2 means - means sigma equals 3000 psi 1350 20,000 10 150 lCO#/' 100% 1.5"A l_wl‘ 12 60 CH 1.5 from bottom from t0p Desifin of Guard Wall Wind Load - 20 /' Assumptions Thrust - Z: /' 95 /' Letroit Code 1936 ,. f' - 3000 as - 1/2 (95)4d - 760 x 12 - 9120"¢ r0 - 1350 (1 n0 - 10 AS - C120 - .210 sq " vC - 60 ‘ 2CCCOX.€~7(2 5 u - 150 H - wld/2 * Try 5/8 0 rods s.6" c-c ' Bond - u - 380 - 73 allow 150 OK 2.4x.€67x2.5 I . Shear — V - 380 - 14.6 allow 60 CR . 12x.867x2 .5 g - 1 USE 3/8 d rods e 6" c—c, on centerline 5" wall. 3 : Extend steel 15" into L1 {1; Design of El W — _l(w)l? Assumptions 12 ;5 f; - 3000 , Waco..- f‘ _ 1350 0 Clear Span 17.5' iKZ// 1 T. n - 10 f5 - 20000 Slab Load - 335 X 3 - 1005 VG - 50 Guard Wall - 150/4x% - 300 u — lEO Beam Load - 150x3x5/6- 373 r - 1 wle 10LO” l2 2 ' cover — 2” 1 - ;_ (1680)(l7.5) 12 - 514,000"7 12 N - 1550(36)(.403d)(.867d) 2 d2 - 60.6 d - 7.8 or 8" h - 8 plus 2 - 10" A - 514,000 - 3.7 sq" Try 8, 2”¢ rods 5 20000x.867x10 Eond - u - l680/2(l7.5) - 111 allow 150 OK 6x2. 4t. t57x8 Shear - v - 1680/§(l7. 5)~_ - 59 allow 60 CK 30x.8o7x8 El Continued Bl Continued USE Positive steel 8 ;”¢ rods 0 4" 0-0 2" from bottom { Negative Steel 8 %"¢ rods 0.4" 0-0 2” from tOp and extend to inflexion points. Design or B2 Span Length - 18.67' Assumptions Clear Span — 17.5' f5 - 3000 fc - 1350 Consider beam of rectangular cross- fs — 20000 section and continuous. n - 10 vC - 60 Slab load - 335 X 6 - 2010 u - 150 Beam load - 150 x lfi- 188 cover - 2” (17.5"plus11.5:; 21981/' b - l2 2 M -_1 (2198)(17.5)212 - 673,000"; 12 M - 350(12)(.4030)(.8370) 2 d2 - 238 d - 15.4 or 15.5" h - 15.5 plus 2 - 17.5 AS - 673,000 _ - 2.51 sq" 20000X .837X15.5 Try 5, 7/E”¢ bars Bond - u - 2198/2(17.5) - 102 allow 150 01 5X2.Cx.€57x15.5 Shear - v - 219812(17;§} - 119 12X.E57X15.5 2198 x 8; - 19250 RL - 19250 x a - 14,400 Vmid - 1/3 x 14,400 - 480 vc - 4800 - 29.8 or 30 12x.867X15.5 B2 Continued B2 Continued K " I€X10;‘ X ' 6905 i9 Load - §XSSXS9.SX12 - 24, One stirrup carries 2 x .11 x 16000 - 3500; 24600 - 7 3/6"¢ stirrUps BSCO Bend up 3 bars tnen 2 bars and extend to inflex points Effective ‘ent up tar spacing 11.6" SUpplement with 5 stirrups spaced 5",7”,8”,€”,10" reg? ative steel To find the neutral axis g-;7->TX/2(12X) £31.U.SZ’JC(X minusig) — EJ' p d7(15.5 minus x; i7 6X; plus 30X minus 60 - 418 minus 27x .1 6x: nlus 57x - 47s x336: xd nlus 9.5x 61m 16 - $7.5 ‘J ‘ X plus 4. 25 - S. 9 X " 5065 CQX 13.5 - 50 X .55: X 13.5 - 257.0 fc ch 15.5~1nus5;66. gfcx12(5.65)13.6- 460.0 f0 J 5j.7 f0 (2(.O 1C a - 15.55" I», " 6'73,C)C)O"‘tj"l T - - h731000 — 4S,EOO 13.55 fc - flg2000 - 925 psi allow 1350 0K 53.- f8 - 49809 - 19,900 psi allow 20,000 0K 2.51 therefore 3 sq" steel used on tOp and hottom is OK 4 USE bent up bars Positive steel 5, 7/8" ¢ bars 2" from bottom regative steel effective from bent up tars. .laflueijaggw 3.4.11. . s . J. 2 - . .,....5. .6 .3 H... Consider 31 as a T girder with Assumptions 2 concentrated loads and its own distributed weifnt a - 3000 P, g f - 13 5.0 span length 18' ,1; 1 rs - 20000 1 I'IS’ VC - 60 Clear Span 16' u - 150 m _ N -_1 wldplus P111 ix 18 - 4. 5' or E4" 10 3.5 x 8 - E" overhang b 18" d - 23 For b' use 54" cover — 3 M - ;_ (l.5)(g§)(150)(16)212 - 2,920,000"# 10 12 To get an estimate of steel A- - 2s2occc/200001.567x25 - 7.45 (54X5.5)(Xvinusl.75) - 74.5(2ltinus X) 265.5x - 2046 X " 708" 0“. _ _ 1: ‘ . - v 0 IL..- 5; #2.“- ,I 1, ' . EW-I—“Ic‘, 5(14. 350) - 742 psi .«?-1mn 7.8 ‘2 1 COTp C Arm L abOUt tOp cEWfirrfinn - '4i1,7' .L_____, 3' 51(711'2- 2 3C5 3.:XL—l 75 2.550 is 5x608—1062 3. :x1/3 1.15 123g 5057 5752 Dist from C to t0p of girder 1.57 Lever arm of resisting couple 2} minus 1.57 - 2143 C - 2C20000 - 136,000 21.43 c - {(1350 plus 742) x 3b - 136000 b - 156000 - 43.3 CK 1046§3 T - c - 136000 AS - 136000 - 6.82 20000 Going back and substituting 6.82 for 7.45 sq" try again 01 continued Continued 1.) 54X3.5(x minus 1.75} - 68.2(23 minus X) 189x minus 331 - 1570 minus 68.2X x - 7.4 3.9(1350) - 712 981 31 Comp C Arm K about too 3.5 x 712 - 2495 x 1(3.E) - 4360 %(3o5)638 — 1118 x 1/3(3.5) - 1295 3013 505 Dist from c to tOp of‘beam 1.C 23 minus 1.57 - 21.43 0K Lever arm *SE two rows of tension steel 12 bent up bars 7/8"¢ Pond - u - 43,450 - 64.6 allow 150 OK 12x2.0x.6o7x23 Shear - v — 43LLFC ._ - 121 psi 15X.€67X23 at the first conc. load v0 - 39,€83 - 108 psi Inflexion point is 2/3 dis t to first concentrated 10a- - 2' run 17 bar dia. past - 595" JC Report 019 b S - 1.20(16COC)(. 0557)(2 3)(l.414) - l 3 47L5 or s 5 J a The bent up bars will then ta1e up C40" lee ving 32" 57” 16" f)\ 51 plufl A7 (72) - 3578 x 18 - — 20 stirrups (Don't use) r0 ., (D .p PL; b$0 \fi C1 on - 8 stirrup: e 4" c-c 3/C 2 m ("J W o 534p1us A7 (32) - 1500 x 18 - 2 K)! U1 , ON") Negative Steel To find the neutral axis x/2(18X)01us 72(x minus 3) - 64. 8(23 minus X) -—'~-—-a—-q—_-. 9X2 plus 72x minus 216 - 1490 ' ,lus 64.8x X2 plus 15.2x X plus 7.1 - 15.1 X’C” Gl Continued Arm for CS - 23 minus 3 - 20" Cg - 72 x .67fc — Aifc Arm for cC - 23 minus g , H cC - gfcxiexg - six"C - ac iaer c C - T -_g22OOCO - 145,COO 20 f0 - 136000 - 1130953 allow 1350 C" 129 f - 144000 — 20,?CC but with slab steel the stress 8 —-—e—-— .‘ , 1 A . 7.20 would go well unoer2u,OCO allowacle Since the slab reinforcement is parallel with the girder, a transverse reinforcing must be in the slab over the ‘ ”r1_o 1 _ r— [I , _ , area usea for the T wfllCfl is 34 . ASSULpthnb If 2 77 [f -, F2 r) L, I: N '1' Vi: - :3) :J L - w — ))J A 1.3 (1;) - {JEC # o - g 2 2 AS - 4520 - 013’ Sq. H 2OOCOX.ES?E2 U59 %"¢ bars 3 18" 0-0 OK ACI snec min 3/8"¢ Lars %@ 18" Bond - u - 492 — 258 Use special anchorage 1.1x.$67x2 L ‘__;§QQQ_(%) - 13.3 or 14" The firder being 8" will 4XlSO supply 9” so the bar should he 64" long. orear - Vc — _ 4‘2“ . -23.7 allow 60 CR 12X.(L. x2 Design of Room slab - 2 way Dimensions 18 x 18.67 L.L. - 40#/‘ Assumptions f; - ECCO Live load - 4 f - 135 Plaster - r2 - 2COCO O 5 Linoleum - 6 n - 10 4s" Slab - E6 VP — 60 107#/' u" ‘ 15 b - 12" t - 19 x 18-62 inns .10(73.5;ll - 4.08 t - 4;" I «NE N0 Room slas 2 way Continued s; t 41" Table 5 JC Cooe 811 P08 1 - .OEEWA_E Pos N - .025x107x18x18.67xl2 Vex I - .Ofifimsfi Pos M - 10,750f R - 107.0 - C? 5 oci 12x 32 1 h H AS- 0750 - .21 sq 20000X. 51W r3 Use 3/8 d -ars - 5;" 0—0 — .leq" center half 3/8 ¢ cars - 10” 0—0 — .13sq" outer -quarters Bend alt bars for leg L and ota. er 061- 139,. 1 - “-53 x 107 x 15L x 18.57 x 12 - 14,200 R - _“13Lgoo_ _fi XXXKXX 132 psi 12 X.”2 ' A5 - 14 200 - .28sq" ” 8C”CCL.QJ7X) Truss reds — .13 -. / . TOp rose :0 e S"c-c- 415 8 .28 sq" Use tOp rods 3/8 d rods s C"c-c 1.5” coxn extend to inflex.Pt. v - 107x18x _1V.CZ - - 5 psi cu 4x12xl7<.d«7x; Bond - u - 107x1€x19.77 - 85 allow 150 OK 4x12x2.hx.tu7x3 Design of 35 Clear span - 17‘ Assumptions g x 18 4.5 54" r; - 7000 3 x 8 — 24" overhang fc - 1350 Use b' - 54" f - 20000 s n -— 10 From slab W - 2x107xl8x18.57 - l7900¢ vC - 60 4 u - 150 M - Wl4/3 cover - 2 r - 3 x 17900 x 17 405,000"" b - 7 3 R - 229 t/d — 4%/12 — .575 “ _ n n _ ” i Q {tinQR 12 GS Continuea 229x12— G5 Continued As - 405000 - 1.97 sq" 20000x12x.857 Try 4- %"sq bars V - 17900 - 8950 2 Shear - v - 8950 - 123 ° 7x.867x12 Bond - u - 123 x I - 108 allow 150 OK 2 x a - §3_x 102 - 52.3 123 Av - 7 x 52.3 x 63 - 1.38 sq " 2 x 18000 1.38 - 7 use 8 stirrups spacing 2, 4, 5, 5, 6, 6, 8, 10 .22 Negative Steel &: to find the neutral axis X22(7x) plus 20(x minus 2) - 18(12 minus x) 3.5x2plus 20x minus 40 - 216 minus 18x l4! x2 plus 10.75x - 73.2 I“ X plus 5.4 - 10.1 x - 4.7" OS x 10 - 20 X 5.75fc X 10 - 115.01‘C .1 Cc x12minus4.7-éfcx7x4.7x10.4 - 171'5fc 3 28fc 226:5?6 a - 10.22 T - c - 405000 - 39.500 10.22 fc'- 39,500 - 1315 allow 1350 0K Q L fS - 395500 - 19,750 allow 20,000 OK Use ,fi" 0 bars 2" from tOp Desi n of Corridor Elab Live Load - 100 Assumptions filab Load — 56 Linoleum - 3 f' - 3000 Plaster — 8 18 - 1350 170 3/gq" re - 2000 n“ - l0 Carry t - 4%" to match room floors v - 60 . uc - 150 n - 1*(17o)(10.25)d12 - 17,450"; t - 4; l2 L.L. - 100 ' - 135d<12)(.L03n)(.Fv7d) . 2 (2 f P’ -’ - H d - 0.1/ d - 2.~« use d - ’ A. - .1113?“ _,._ _ “ 3330*" 20C‘CO;~:.C 73 Fond _ u - 17C/2(10.2El_ - S6 allow 150 CK 3 1:- CL' ’ v" ,’-./«"~°'~' ’ \ allow 60 0K \. rn shear - vC - 170/2(10.25) — z I“ 1 - 1’7 Positive steel Use 3/8"¢ hare Q 4”, 1.5” from bottom Negative steel Use 3/8"¢ bars 0 4", 1.5" from top extend to inflexion point Design of BS Consider the monent as being made Assumptions up of L the corridor slab and i of the room slab. f' - 3000 f8 - 135 Span length 18.67' Clear Span 18.09' fa - 20000 n - 10 Corr. slab load W1 vC - 60 4.125x18.09x£;§x150 - 5170 u - 15 Wt of beam ext. 12 L - 1 WJ.+ W 23.2.1;- x 15-0 - 412 112' 144 5248# b - 9 d - 10 B5 Continued .u .l;l .3... . . ,1. h n g. 91... Design of B5 Continued Partition load studs - 2 plaster, lath -16 18 18x17.67x9 - 2860§ Slab and beam load * fi248# 7IGE# M - 7108(18.o9) plus 9000(18.09) - 57,900'4 12 "3‘ M - 57,900 x 12 - 455,000"# t - 1350(10) - 4" T - C - 455.000 - 52.500 3350 10x.837 m .0 AS " 52.500 " 2063 " 20,000 Try 4, 1"¢ - 3.16 sq" c - 1350(4b') - 52500 2 b' - 19.5" allow 54" Bond - 16108/2 - 4 allow 150 OK 12. x.857§10 '7 J Jun“? - I 7106* 1 Shear - u - 16108/2 _- 103 T 9x.867x10 ' x - £2_(ll2) - 46.8 2(43)(46.8)(9) - 9080 2x.79x16000sin45°- 17,800 effective bar width - 8" leaving 38.8 x - 192(58.8) - 54.9 112 A, - 9 X 34.9 X 38.8 - 0362 2 x 16000 .362 - 1.6 or 2 stirrups .22 USE 4, 3/8"¢ stirrups with bent up bars Spaced from end 12, 6, 8, 8, 10 ES Continued Design of E5 Continued Negative steel 143$”???— on fire? X/2 (S, 4.5x plus to locate the neu tral axis x)plus28.44(xminus2) - i 31.6(10minus x) 2plus60.4x 01-0/4 'Mfii 9n X‘iplus13.3Xplus a. , | x a 3065 " 372.88 44.1 - 126.6 11.35 X - 407” 187. Cfc .4- 177. C1: 334-. (‘10 GS X 8 — 31.6x.74f x i - CC x 8.4 - :fgx 9 g 4.7 x T - 0 - Lsscco - 5 15 \J'l ,900 f8 - E§.?C0 - 901') 17,700 allow 200C0 0K f - 551,90C - 1250 1550 02 C 44 5 allow UCE Positive Steel l"¢ bars, Negative Steel fromm bent up bars 3/8"¢ stirrups Design of Column 34 Min permissible column size 12 x 12 with 5/8"¢ bars and l; min cover. P Load It is recognized that an eccentricity does exist and should be designed for but it is bevond the scope of this T problem and to get a roufih heck on footing and column sizes it will lse ne lectod and the load considered centralized. Hot-VCR: mm 0- I I bearing C4 Continued bend up alternates extended to infles point. Assumptions 5000 .01 to .04 20,000 ;"dia. spaced 16 bar dia 48 x dia or least dia col - 750psi *. 1’” “.1 ‘ g 1‘11, 3' i . liW:'.h 31“. h. :13. 'I.“ él n' ‘ _| h . -- t 11‘; '+‘-. . I 'l. '- H. in? . ‘v F13“ . ' L: ’ Y . 5:”? . J35..." E. - «a... 13?; ”i . H ‘ .’-~. —'..'3:':1. a" 1.3.,“ ‘11 9 ‘.-:.',If F '. ‘ it ” - :‘5: '7.“ :L‘ . I '." 1".“ "" ....L_ ' 1. ‘.. 83‘ '7 ' .3» " 5.”- 7E1 .. .1. b .. Ta". )1 —- ' . ""3 ' r---. 3 -:3 ‘ ‘ “’21 78:. "~53!" . ‘t‘tr'n. ‘ .1 '4; - {,0 - 0-. ' 1 - m _ f‘l , 2. " m 1.“‘.‘\ . 4 -1 ’ I: . J. ' . .1 4 z .1 1' 1"... CH4-..- ou- *_. , wry 1' 111' 3;, 1-. 1. r 1‘] h" I! abs ‘1 w 9 E: l n1 4.. O ‘4 "~:‘ I; I':: I. 14s ' 7 r- 5;.— {T} "7'22. 1.. ’ . "F“ #1 ~4 tr“ u...‘ _ ,.' n,."" .H' ; " r3:— -._ _ up: .1. .5 ' __-'p:-._. . ' :_- hi :- .' 1‘ _‘_“ 1‘1 fl ' ”4&4 ll .. .‘ 898” :" '{7 Desi n of Column C4 Continued W1 due to Gl - 42400 W2 due to T2 - 38500 W3 due to G2 - 21?30 102830 2' col. wt. __ 300 103150? A - 103130 '“'4 - 141 sq" 675(1 olus [10 minus 1).01) Use 12 x 12 with 4, 5/8"¢ bars in corners w/2” cover Wt of floor system loaded 125310 9th floor for storage will not be reduced A - 125316 - 162sq" 675(1.15) Use 12 x 12 with 4, 7/8”¢ rods, 2" cover "1 C) t 5 ,1 ' 7LOCR WT reduced live load 10; corr. slab - 10200 Foom slab — 16750 G5 - 2030 P5 - 2040 31020 7t08 fl col - 1 00 wt above 8th 125316 150104 A - 158104 — 215sq" 12 x 16 - 192 5750.09) 4, 7/815 - '24 new p -.0125 213 [Jse 12 x 16 with 4, 7/8"¢ rods, 2" cover C4 Continued . 1 _ 1‘: a; . 1‘ .1 “,1 .“‘::"§:‘.4411I":’ ..1 1 7 . P ~j 1.. . w“:- v / .._.“‘ .- L' 1" _ .. .4 ‘— u". ..“" “ —v‘,_. a. J,‘ -. . .. 1-x; - -, i_ fly—— M: '- \rh». -' 9 .7 .CL‘. A " "‘: r.“ -- ' i414.— 4; . 1.3.. ‘t _! 1 :- L 7- ~ .. 1 .. r~ ._.. . , n — ‘ a... . '2‘}. y, .. ._ ,; .ufl .“. ”‘ ...- . ’u .. 5‘ 4.“ _T' V " . 1' . -. "'2, -'-I up” ‘ ‘1 .- “Cg? ' ‘ \ _:1 L “ ~ ... r. fi-..~ .I—' 4... :2"; “‘“ "'T “3:“ ..‘. E 51" L. 9* g ‘2 - 3t 7 "":.-.' .f..""" Y, ;.' 3;”: 'fi' . v-‘F'- . «.4, 541?.“ " ~~1§ ' _ .—A._ I . |.J~ _ 1L1“ '25. .. P "4 ._ D. a, 3'21” - A. . . ._ _ . .— rt; 44444441 ' 1 4411i" )3 iwwfi W -.. -. I" 7 : flM,1;, ..u 3 '9' Arms 4% : :444 1‘ 1% "f 1 Win I I 3wwfififi 4‘ -r ‘f {:IJ'I L . . . lflawmfll Ill-k8 .A ‘4 0 ‘~‘ :wWfifin l [Sirfljfi'ngnf l_. “’1 ‘ . ‘ 1’,“ ‘7’ ". ,l ‘1“ng J. , 1,... ( 44'3 m f ! 1 I I 5“” ‘ 1'“ I T 014 444444 N Hi I 911'i‘11 a” Lesign of Column C4 Continued 7THFLOC11WT reduced live load 10; 31020 col wt 1990 wt above 7th fl 159104 191114 Ip- I 191114 — 260sq" 12 x 1m E75Z1.cg5 6, new p - .0157 A - 191114fi - 242s 575(1.1:7) Use 12 x 18 with o, 7/t"¢ bars, 2” cover QTH FLCWR WT reduced live load 10% 31020 col wt 2580 wt above 6th fl 191114 A - 224714 - Eofisq" 14 x 20 - 2 675(1.09) 1.7/82- new p - .c128 DJ C') v\ 0 \NJ H OJ Use 14 x 22 with 6, 7/8"¢ rods, 2" cover to save on farm work. 533 FLCOR WT red uced live load 10% 31020 col wt 2740 increase in last col 150 wt above 5th f1 224714 2523? _ 352 14 x 22 I \N «.10 :3 0 g U I O F) \n .p K)! .b 9': ee 14 . 22 with 6, 1”¢ rods, 2 " cover. C4 Continued l m xx+4 Ch Ox R) LT! I'D ON C?) L- 14 X 2' xx '0; - _",'2 - ,. 4 :3 :- '. r .‘ . 42321 ‘1‘" L- B: . _'- ‘ hr . -1 .4 .. .7 ,, L ., , 1,. ' ,1 _ .. , "‘ i" E'.‘ ' 42 1.- I -. :3 E“ ;= "- E : , T: a ti.— 1 1 C L. T:f’jfifi 1i" ’h‘ hr} {‘1 u 1 {wwwww m r I p b . e ’r. _ - ' — a» y ."1 '§:+-}t)-',' 1“"- I 4 ~ ~ I 'l i Jl~v- EMS??? 324 r! 9 41411131244444 _ 1‘ "" ':~‘--.‘.- . _ ..‘ IA .;.;v‘|-i_ o. 3.1!, V - I. . 3 .... ~_ ‘ ~ -I‘ 1 o 3 A , 1' . Q a 'I. “ b. . . - ‘ A u» | i "I' - "Irn .‘:~~.‘~ ? .. .i A: i ‘w :1'Ti’- '1 "' -' gig F n u 4 n'L' Iv . .. . 1" | . .1" .3 . W" :4 Q? ”W2 I. n I, I ‘ flu iflw A"? f‘filfi'fln «sz H**-1¢bmr: I ;zw .‘ 1r- 2'; ;H'M :m “a! 1 :15 344;; 314m4114 . . _,.3 3' V :3: 4 | I L f,i7 Design of Column 04 Continued ‘V 444 AP' ‘ I ix? | 0 iii?“ 2 (h ‘ ‘ J" ' .. 19‘ i 'g.- ‘., r '35 4TH 7LCCR WT reduced live load 10% 31020 col wt 3600 wt above 4th fl 2§§634 293254 ‘ Iii-J Ad I! in. “Hal 4 ri3' }H‘ 223441 4 444 p 444 F! ' ”I . I ”5' a I We?! " 1' .t 4 1_ V " ‘I , | 1"-" P. .434 ..' . ‘_ if 1 a .. . . . A - 2¢3254 - 3€8 sq" 14 x 28 9 675(1.09) 6, 7/84 - 3~ Req'd for p -.Cl 360 plus 36 - 396 CK ~‘U\l\) i ' . “I.” i... ‘ “:1" y‘ ’ a. V ‘ L 494 ,f1‘: :If|.' Use 14 x 28 with 6, 7/8 d rods, 2" cover 32””22: .I 1 F‘ .<_ .i‘h‘gha—fi i ‘~ Til": ill: I 31";972 32D FLOOR WT reduced live load 10; 31020 col wt BSCO wt above 3rd 1193254 757 A - 327874 - 447 14 x 28 - 575(l.09) 6, 1 fl - new p — .0121 hfiégfiarr, \:l:7 , ’f” {lr‘H - 1 x4 I:*- x (:3 \Cll':d h) 4 4 .r u: A - 227874 - 439 Use 14x28 w/5, l"¢ bars. 2"cover ~ 1 2FD FLOCR WT reduced live load 20;?4 29850 col wt ‘ 3600 wt above 2nd f1 327874 3613 24 4 - 361324 - 4Sleq" 14 x 28 - 392 >75<1~OS) 6, 13¢ - 76.2 1,] (53105 I;; "' o (:> :1.i:3 2;? 4 - 361324 — 467sq" 673717146) Use 14 x 28 with 6, 1 %"sq bars with 2;" cover A A. . u 1 . n ‘ I , .6 - A n.. .; - - .- . . 5 .. . v t s - ‘_ ‘f . v, .2 . 3 .. .. .- v 1 .- ,. - J. . . .: 'I ,. :7 . -. ~. . - I . . ,, _ , , . . -. ,_ ‘ . . ,m. _ x . . . ._ . , I n . . . ., .. , .. 1. . . . . 1 I. . 1 a I . . A A , - I - . u: . . A .. . - Z . . - . '. . 'I .4 .-l-Ae-"1 A 13.. A A g I, "F" - '4 -.- , l v 1: A . , :1 r’. _ L. . , ‘ v ' ‘. r .. n . .' A . , I. V5 m. .I. ., 7, ;.1‘ »1 h ‘ I w]. y, " Hf ’. .7 . Y ”‘34:.‘1 (n, . —‘ A- . . ,4, .. .1 1 l 7 . 4 I .1 . .4 04 '- .1 ’x "‘ in m -u.! -“ ' 7 . ‘ ' . i . . . . ' ' 44;.’ I.‘ ‘ 1 943 C4 Continued Ul‘f! . . I . L'Lllmfmr; L n:- 5- -9- _ ._...:.- 7- r. r _ H .. W. WT.NW” ”y 5? f{;343 . l -. - 2‘" ?—~ 2 H... . d “ ‘fl --. 1 3: ' r :. ’ ‘ - ‘- J 3"“ 'n A ’ LA. ‘ '*. €F=F 'T~4~ ‘ - L w :J-r' I .— qu‘. _ ' ' - xi“ .0 —‘;"T‘ -, a "' -.__ '. * - -_ . u 1 :-., , -4cr- 1 6” - - 2i ;.L a... ,2... ..412 t .44.. “aura sxt4ltr\.,1-u qfi. m ¢ ...J . . 4m443w .2% Continued Desi n of Column C4 .l . (‘4 5C!" reduced live load 28890 H... ...D 2.2.3» 4, ....Pnflrrf 2.2.3.5143... 19m.usw4....ts.or. 4 .2 4 «Visa C ..rt2111r—r2 1» 041.....43 . col wt above let f1 wt 4 4. .2 14C? 2 ..,/2 O O O 4.4. 2,0 Ow 7: .LJ )4. 5 . q C S 71/ 128 X l 6 0' .12 KO 7.. 71/ C) _ 02 A. O .J 0 f3 1 In... ( C .. 2.3 7;, 7- u _ A I1 8W 2.,24. 2.22.2 2 .1" COVGI‘ th 2;: m ‘l I q bars 8 2. 22:47... Ewiumwui 22 :22 2.1.4.2- . 4| 4. 3v ll 1m .Ov, .,2 .,22:._Wm..,,2.4. .mpmm24221n_u_91$.&2r.2...r.13.... Floor ‘ent I l ,4 ,2, 4 E3 1 A.) 41 Flat Slab Ea DeSl in of ‘JSf d - 100 y 3 Assume Live Lo: r0, T 0 11.2.4: +u U 0 9. S 1Q — a 0 Cu 1 1 d X n l 2 72 .T. / W ...-.2 d a e D . 4:44.44 .4”, . ...... ..: .2,.,..2 .22 ,4... ..4W. _ 21.24.442.42222242225244. «W4 VHF;— wig "a.“ .42.... 4.4422 :2 w . 4C 9.4. O 1 e v. .l L ano slab r _‘ Mr- 1 c" ‘1 442.234.; “2+2 -. ..4...44 .4.....2...__um. - 60,8004 . . 608919) 18 v/L - .09(16.17)212( V C (L minus 2/3 C)2 41:. .. 2.24.14.22.412E444xfihlf41422ii .22 54.22.24 253222-2424. . 2 .‘H +4411. .pv ... ...flw» 1_ .. . .... 4hdf.... wit-.1, .2 ...... ...... 2o 40 - l?ocoo"# in Str Column _ .....- v L - 78,5 allow 236 0? 20000 9 120 (4g) R - l .3... ..ntfirru ...... £54? 3.42 :4. .12 $4.4m.“ ....sh 1 . 1 2 21 S .3 0.. 7X4; /- ,w ’J C- / - CCOO OCCCX. C .r "\ / fl.— Ii AS- 1‘ $92411: 221.442.42.45. 44.444.22.24 .422; .. u .r y C. l ...?» -2. 4434.4r22p24bEh22. 2.1.. ”mm-W23 ..,...W .2.“ «£411. A . .W .Nflvudiywpr.’ ”...... 1 Flat Flat slab Lontinucd middle Strip Pos K — .15 to - 142500”% A“ — 142,509 N _A - 2.035q" 20,000X.867X4 bars e 18" q V - 60800 minus 4.5 X 6 x 188 - 55730 Shear - v - 5&730 - 66 allow 90 OK C. ‘ ,. J 4 Bond - u - m 557 O~__ W’ , - 161 or 160 allow 150 GK Design of Footing Ffl Since I have no soil data on the stadium site, data and recommendations have been secured from the new Power Plant borings located about 200 yds to the southeast. The following is an exact copv: Recommendations Although it is possible to use a spread footing foundation in this type of material. the risk involved is not justified in a structure of this type. The only feasible foundation is piling. The piles should he at least 25' long and will have an allowable bear- .1. -na capacity of 20 tons per pile with only a slight settlement. If the final driving resistance is low and the capacity of the piling is doubted, the resist- ance to driving should again be measured after the piles have set without disturbance over night or longer. This may reveal a 'setting up" of the soil around the FA Continued 31‘ a W"; '. '1 In . 11:11 .‘re . .. , .. ’v c“ . l .- v . n .. w - 'u- o .- 4 ‘o , 'L,’ ".1.ti q '5E73 q :g'Ilugi : .' -:, - l-a awn: . \IFQIQJ' |-' _ . ”"1 l'l ‘I fifl*4wr"”vtf"ti rfg-L‘ .aaawrrmsm A .i I”. """1‘."!"1!1.’~'”" ‘1 .‘l "fl ‘ . -.www" l ' u . 1 W n . _. an???" “"3114. is." .' . ' . l . rsswwvsr Tfifififlu ' ’ ’I thl‘fl ‘.. g -V fI‘WW"r m ’J‘l": - .1“ :‘ o 1‘ ‘2’: .4. I. ‘r M?“ : . ' a! to Jim“ “‘“Ell‘hj'fin .éwfil‘h“: .4, " L mum- k‘: '4 I g' " -I '. nae . :_' WW'iy_ (“Fl- 1 halal ‘l! t _ .‘A , qt}. ! villi-l ....4 ; 1 "fit -1. r ‘ .. ‘ . - .. I' ‘ I,“ ‘w r ... .‘ .. - ‘.-...~:‘ '! 4. 63'1" - " A' l 3‘ ' 8 ’T 171' m1: *. - tier? 8: 1 n ' L . .. r V f. ... o .. _“ iwfidfifl?9fifiurvxfl "-“- .' T .'. Desifin of Booting F4 Continued i(j ile. Difficulty will be eXperienced in any excavation carried below ground water. E. J. Harly, Pres. MICHIjaE LRILLIEG CO. 0n the basis of this report a pile footing seems in order. Included also in this paper is a soil profile of one boring from the same report. Load Assumptions col load - 394634 flat slab— 10100 fé - 3000 439334 fC - 1350 fs - 20000 ssume a pad 4.5' x 6 ' x 2.5' n - 10 VC - 60 Load 439334 u - 150 F4 wt ioiog _ 449434 or 450,000; 450L900 - 12 piles 40000 fl Assume load uniformly dist. see Par 15-10 ”Reinforced Concrete' Sutherland & Reese we» Ls.1F?r w - 102, 00 , 5 6-0'_fi ax - 30312x102500 - 60500 e 9.5 51x19 42000 e 12.67 . . 1 - 40500x9. 5 - 575000 a E“ " "‘ 42000x12.67-530000 1105000"? 5‘ — /1105900 - 16.7 “ 131x30 3 f ACI 60 minus 54 - 6 le center is 3" from crit sec e i of pile loading F4 Continued Design of Footing F4 Continued £64000 x % - 58.000 ALVA d - “_ v_ - @8900 - 18.4" ij 60X7/8x60 For the end section W - 75,000 l6x§1x75.000 - 34300 35x21 BX - 34300XlO.5-350,000 40700x14 -§700000 930.000"# d - QQQQCO - 20.8" 131x16 To find the depth from shear ACI spec Par 1205 f Use 7/12 pile load 25.00.00 - 37500 12 7/12 x 8 x 37500 - 175,000; 5/12 x 2 x 57500 - 31200_ 206,200; d - _v - gggego _1_ - 21.8 or 22" ij 180x7/8x60 Use d - 22" A01 " _119_5000 " 2.8980 " 2:592“; - loSh’SQ H U 20000X.867X22 2.5 Use 1"¢ bars, 6"c-c A52 - __930000 N - 2.44sq" short bars 20000x.867x22 2.44 - 1.953q" 1.25 Use 1"¢ bars,42"c-c long bars Bond - ul- 102,500 - 145051 3.1X12X.867X22 allow 153.5 OK u2- _17s,000 - 116 psi 3.1x11x.867x22 Use standard hooks Deformed bars .0375x3CCO-102.5 with end anchor 1.5x102.5-153.5 13'”? €643"; meat/”Icy jun? Cmtéflqmwaigf (00am Elana 1 .-;.-,. .. 5mm», /6/Wo/“MA/o/3?fi ‘- "‘ ...- "’9 are... Jaw/g 504/?" ”" i ‘1 i “for .8 2 Q DIJ‘QI'VI~ C“ M W] : 7 h.“ ‘ ~ A :v i h 7" b ‘ a 1 . ; _ ,1 MW ...w... I g 3 .' , 7f: 10m Maofflhv w ‘ I " .1 I. coon. [IO 20 1 450 Jof/W If." 71": ‘ ”la [36“ I] m r “'1. a 4" flag cm; was“ xx T I k (Owufwfld {w 4- ’ fl v.1 ‘*~" on ; ‘0 1} ? aw VII 57.5.] 4 ,. “" I ‘ r l r M6; a“ x 7 up“ Coon lama4 1:4 [5‘ 1, 73' 30 3?“‘*"~304‘;-*4;‘ MIC/i. 019/4 1. MM- Co. 92/80:! , , {Mag/”5“ .. ‘I I.“ a! Jan Wu» H "5""“4 77» def} 1.3.4..fl.§nflu!a§gam¥_ \ _. T1H$mfinnfiiauiua§a§ 1; .3215... .. 7 $111.: 1%.? $1.... Lg... 1 “11.1fifim11uEfE1MI-lxwttfl . 11111111111111Lw...1.1m.1111 111.113.111.511: ... fizfiig 15;.“ 11.1.1.3. $Fw...111..1.111.m1.....1.: .... _ .1. ”5111. 1.1.1. ... estate... .. .aaaafafimmmifi ...1:.1.1111111.111. 11.1111 @111... . $111.. .A j (\ 4.1m. .... ‘a. ... a... _. .. ‘!J%.. .m ice—4h .. «dang 9..» ”5a. 29mg..— 1. - 1 . 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