Q5: In the case of the retaining wall depicted below. Calculate the lateral earth fore at rest per unit length of the wall. Determine the location of the resulting force as well as its magnitude. [25] Y = 16.5 kN/m $ = 30 C = 0 2.5m Ground Water table Yaat = 19.3 kN/m 0 = 30 C = 0 2.5m Good Luck
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- Consider a retaining wall supporting a fill-soil as shown in the figure. The wall is moving from right to left. q=15kN.m2 0.5m Yconcrete=24kN.m Y1=16KN.m 01=32° Cz=0 3.5m P1 n=16KN.m P2 01=32° 0.5m C==0 [0.5m. 1m 1m 1m (a) Compute the active force P, and on the wall and its location. (b) Compute the passive force P2 on the wall. (c) Analyze the factor of safety against sliding.Consider the wall shown below. Dimensions are in meters. sand O' = 30 0.5 0.5 > 1 K Determine the active force acting on the wall. Circle your answer. b. а. Determine the FS for sliding. Circle your answer. Determine the FS for overturning. Circle your answer. d. Determine the FS for overturning if a row of tiebacks is placed 2 meters below the backfill's ground surface. Tieback spacing is 2 meters. The capacity of each tieback is 50 kN. Circle your answer. C.Using the Coulomb analysis approach, determine the active force on the retaining wall shown below. Q is a line load (out of plane) with Q=10*X kN/m (where X is the last digit of your student ID). Express Pa as a function of 0, and obtain the critical and the corresponding maximum På by trial and error of 0 values from 40° to 70°. 10.0m 20 Pa 2.0m 3.0m y=20kN/m³ $'=35° 1
- 2- Figure below shows a retaining wall that is restrained from yielding. Determine the magnitude of the lateral earth force per unit length for the following conditions: 1) At-rest force 2) Passive force Also, find the location of the resultant, 7, measured from the bottom of the wall. H (ft) H1 (ft) 71 (lb/fr) 72 (lb/ft³) p'ı q (lb/fr²) 10 5 90 122.4 34 26 100 Surcharge = q Sand c{ = 0 Groundwater table H Sand Y2 (saturated unit weight) có = 0 Frictionless wall2. The tank shown below has an irregular shape. Determine the following: a) The magnitude and the direction of the horizontal force. (Ans. Fx=22,500 Ib) b) The magnitude and the direction of the vertical force. (Ans. F,=19,900 Ib) Assume the width of section AB is 4 ft (into the page). Water Tank- wall 18 ft 6 ft Barjumo Но |ha PA r Figure 1 calculais
- Investigate the resistance of the wall, whose dimensions and floor properties are given in the figure, against overturning and sliding, based on the 1.5 safety factor. Note1: Evaluate as Pp-0. Note2: Take the kive k coefficients as 2/3. |g=150 kN/m² c=0, 0-30° Vosted 24 kN/m³ X=18 kN/m³ 6 1m 1m 0.5m 3mDetermine the stability of the wall in different conditions mentioned down in table and provide a spreadsheet utility program to obtain factor of safety against bearing capacity failure. Но a (°) B (C) ра (kN/m?) Ø (^) 8 (°) (m) 5.0 20 100 1600 36 24 5.5 6.0 6.5 20 100 1600 36 26 1650 1650 20 100 38 28 20 100 38 30 Ho Dry Sand Pa ha PA Gravity wallDetermine the resultant active lateral earth force acting on of the wall shown and its location. 10 2. $= 40° ム0m a, a, = 0.0
- For the cantilever retaining wall shown, if the F.O.S. (Overturning)= F.O.S. (Sliding), find: 1. The width B 2. Least value of Ø to make the wall stable against sliding om INT deperst. B "S=f(Ø)* 5 of=34 kN/m + Yeone: = 24," Sand: 8=17 S=0 Clay! Øn = Cu = 63.75 HO / kN/m²A crest gate shown in Figure 1. consists of a cylindrical surface of which AB is the base, supported by a structural frame hinged at C. The length of the gate perpendicular to the paper is 10 m. a. Compute the vertical force component of hydrostatic force. b. Compute the horizontal force component of hydrostatic force. c. Obtain the location (from point C) of the vertical component of the hydrostatic force. Figure 1 A B 6.m 60⁰ CThe braced cut of two layers of clay is shown in the figure. 1.0000 H; = 3 m; Y = 16 kN/m³ c; = 21 kN/m² H = 3 m; Y2= 17 kN/m² ez= 22 kN/m² H3 = 2 m; y3 = 18 kN/m³ c3= 23 kN/m? 3.0000 2.0000 Clay 1 B The struts are located 4 m on center in the plan. 2.0000 3.0000 Determine the strut load at D. Clay 2- 2.0000 D 1.0000 Clay 3 A 427.32 kN 424.32 kN 437.32 kN D 227.32 kN to B.