Consider the following concrete retaining wall: 1.5ft La = 12° Sand: y = 115pcf 16ft d'...

part Send Har 115 pcf a 2 C-o 5st 11565st Clayes 120 pcf ; qf=22°; c= poopsf BC = H Ja 12 1 ton lao = H' 6.5 fosil H = 1:3816f H = (3+.16 +1.3816) = 20.381694 @ Rankine earth lateral forces (i) active force (pa) - da kariye üni) paste force (Pp) Kyrie

TAM ka - (050.00 sd - J costa - caste cosa + J costa-cose 0 =B1 = 39" = cos(13) Cos(11) - 1 (03160) - cos (39) cas(19) +cosciale cose 293 = cos(ia) x0.4907 11465 = 0.3973 3) Kp = cosec. cosa + J costa - Costa I cosoc - Josfa- cosso = (0842) Cosus) +5 ooskus)-co$139) Coola) - J 10$) - cogies) = costq) x 15465. 004907 = 4.92;

I achive force (fa) - to xx, x H²xka = x115x(20:3816.) 0397 3 7810.74 pounds (ft 9 pessive force (pp) = 5x115 x [ 201381989192 = 69747.27 lb lift ; -Po & Pp some point acts but different mognite des.... - Postosa H = 20:3816 = 6.793 ~ 6-793ft. ar) متاح) Pa = 7810.74 lblist Po=69747.27 eblift -6.793.44 6.793 ft teo=12° sections & 0 ③ are ve 224 kN/m3 0 Y = 1151 - 24x 6493 pes I = 154.159 pelo

! Section Pe=154,159 PCF 8591 2115 pcffor 059 Area(A) W=rxai al fom me = wl se) (ebist) lol point (1h-ft) 4705 7392.92 9x5 3:33; 94383 Vc 154.13 pof 9815 4393.332 5+1,5 - 5,75; 95961.66 61.75 9518.886 $9598.74 5+1:57625 .=8667; 61675 7101.45 5+15+2x6:5 76906-53 = 10.83;. 13816 4.49 516:35 54548x545 5599.07 - 10-83 6.5 EV'= 98859-038 lble Emo = 314672

Eva Ev' + Pa Sind sackve Evp = Ev' + P p sind + Passive a=120 na pe cosa tra coso G = 6-793 vertical components of active con pcessive earth forces are added ; # EX= 18859.038 + 781074 Sin (12") = 30475.98 lblft ; I 2 E Vp = 28852.038 + sin (19°) 69747.97 =.43353.37 Ibisto + Overtlerning momento o Horizontal load ca ases it; (i) (mola = (Pa Cosa) j = Pelosa ý. = 7810.74 43 42 ) x6-793 = 51898.9 lb-ft (M) Q = 51898.9 laft

cii) (m.) p = pp cosa xý = 69747-47 COSL12) X6-793 = 463439.6368 lb-ft-; Active case (Fs) overturning = EMR (mola - 914672 51898.9 = 4.13 > Q ; safe possive case 7 () overtuering = Emr. Mop =214672 46343906868 = 0.463 22; unsese!

Posive - Resultant force B-1360 K B=13ft Imer = PEP (1+) 9 min = (-60) | ă= {MR-(Molp Evp = 914679 -463439668 43353.31 =-5.738 m; A e = 1 - 2 - Emmet Ellola = {MR - (Mola Elva) 214679-51898.9 30475.98 a = 5:34ft e = B- - - 5:34 a l'16 m), : +19 45738 g. =12978 =0762 m;

Imea o amin is for active case only fearable: B = 13 ft 2 mex, min = het in dit ) = 30475.98 + 6x1.16 13U 19 = 9344.306 + 1855-105 Imed = 3600 lb ist? the arly taken) → Emin = 1089.201 lb/ft ~ 1090 e blet? ke 116ift: 360 | 11 tog og bly

d a chove (Fs) Sliding = (Eve) tanes) + CQB+pé Pa cosa Øg = Bottom Soil 3300 =190; 8 - = 48 499 = 14.67% Cal = R x C = X 200 = 133:33 p4 B = 1345 )=367 Ppl= A 2 kpx YaxD* + 2 cajke ke - ltsinde - Itsing 2. = 8.197 - singa T-sing2 JHp = 42:197 = 1.4823 app = $x 2-197x 120 x(3)? + 2x200 7:197 = 1779.18 Ablft TPP = 1779 18 Iblst I (ES) Sliding = 30475198 tan 14.67)+

possive conditions: sliding = 30475.98 ten [14:67) +13X13933+ 1379:18 7810.74 (8512 = 115 315 Sale for passive conditions CEE) sliding - Evp tan s'+8 ce + Pin - Pp (Oslo = 43353.3) Jan 11467) + 13x133193+ 1774. ME 69747.97 (OSL120) = 0.9178 < 105 constfe