Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 14, Problem 14.7P
To determine
Find the passive force
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1- Figure below shows a retaining wall. Determine the magnitude of the lateral earth force per unit length for the
following conditions:
1) At-rest force
2) Active force
Also, find the location of the resultant, 7, measured from the bottom of the wall.
H (ft)
y (lb/ft')
15
19
120
Sand
Unit weight = y (or density = p)
%3D
H
c' = 0
8' (angle of wall friction) = 0
13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75m. and the unit weight of the sand backfill is 18.7kN/m3. Using Coulomb's equation, calculate the active force, Pa, on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant.
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.
Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Q: For the retaining wall shown in the following figure, determine the force per unit length of the wall for Rankine's active state. Also find the location of the resultant. 3 m z 3 m y = 16 kN/m³ ' = 30° c' = 0 Groundwater table Y sat = 18 kN/m³ ' = 35° c' = 0arrow_forward13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75 m, and the unit weight of the sand backfill is 18.7 kN/m². Using Coulomb's equation, calculate the active force, Pq. on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant. a. 8' = 14° b. 8' = 21° + Sand y = 18.7 kN/m³ c' = 0 d' = 34° e = 12° 8' (wall friction) e = 10° H= 9.75 m Figure 13.38 © Cengage Learning 2014arrow_forwardFigure Question 2 depicts the design of a gravity retaining wall for carthquake condition given: Kv-0 and Kh-0.37 What should be the weight of the wall for a zero-displacement condition? Use a factor of safety of 2.4. What should be the weight of the wall for an allowable displacement of 50.95 mm? Sand $:= 35° %3D Sand $=37 3. Figure Question 2 B Give a comprehensive detail on how to analyze a retaining wallarrow_forward
- A 6m retaining wall is supporting a soil with the following properties:Unit weight = 16 KN/cu.mAngle of internal friction = 25ºCohesion = 14 Kpaa. Assuming no tensile cracks occurs in the soil; determine its normal pressure acting at the back of the wall.b. If tensile crack occurs in the soil, calculate its active pressure acting on the wall.c. Find the location of tensile crack measured from the surface of horizontal backfill.arrow_forwardIn the retaining wall system given below, the wall height is 5 meters, the mH distance is 3 meters and the vertical force applied at this distance is 25 kN / m. According to these given values, how many kN / m is the horizontal thrust force acting on the wall. The margin of error will be taken as 0.5 for the correct answer. please fasttttarrow_forwardDetermine the lateral earth pressure force on the wall (6.0 m height shown in the figure. Draw the stress distribution and locate the location of the resultant force. Sandy soil kN Ye = 20 O = 36.0°arrow_forward
- 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 Ground v Water table 2.5m Yur = 19.3 kN/m 0 = 30 C = 0 2.5m Good Luckarrow_forward2- 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 wallarrow_forwardConsider 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.arrow_forward
- For the cantilever retaining wall shown in Figure P13.1, let the following data be given: Wall dimensions: H = 8m x₁ = 0.40m x₂ = 0.60m Soil properties: Y₁ = 16.80kN/m³ Y2 = 17.60kN/m³ c=0 x3 = 1.50m x₁ = 3.50m x = 0.96m $₁ = 32° $½ = = 28° Figure P13.1 a. Calculate the factor of safety with respect to overturning. b. Calculate the factor of safety with respect to sliding. c. The magnitude of the pressure on the base at the toe. d. The magnitude of the pressure on the base at the heel. D = 1.75m a = 10° C₂' = 30kN/m² Use the Yconcrete = 23.58kN/m³. Also, use k₁=k₂ = 2/3 which are the factor to calculate for p' and Ca-arrow_forwardYou are working for a consulting firm that has been asked to evaluate the factor of safety of the wall shown in the figure supported by a well-degraded sand. The resultant load behind the concrete wall acts at the one third point. Dw 1m 1.5 m 24 kN/m³ y = 20 kN/m³ 26.5 kN/m 24° = 34° n = 0.4 3 m (a) Determine the factor of safety if Dw − D > 1.5B. Ignore the lateral passive resistance due to the soil in front of the wall. (b) Determine the factor of safety if the ground water table rises to 0.5 m below the base of the wall. Discuss the significance of your observations.arrow_forwardH.W 2: _Find the collapse load (Wu) for the isotropic slab shown below by using yield line theory. Assume m* = m= 25 kN.m 6 m 4 m 3marrow_forward
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