Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 14, Problem 14.3P
(a)
To determine
Find the magnitude and location of the resultant lateral force per unit length of the wall.
(b)
To determine
Find the magnitude and location of the resultant lateral force per unit length of the wall.
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13.22 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 2014
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.
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 wall
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Refer to Figure 12.3a. Given: H = 12 ft, q = 0, γ = 108 lb/ft3, c' = 0, and Φ' = 30º. Determine the at-rest lateral earth force per foot length of the wall. Also, find the location of the resultant. Use Eq. (12.4) and OCR = 2.arrow_forward.A 6 m vertical retaining wall is supporting a horizontal backfill of a normally consolidated soil having a unit weight of 18 kN/m3 and a friction angle of 35 degrees. Cohesion of soil is zero. (Use four decimal places) A. Determine the at rest force per unit length of the wall. B. Determine the active force develop at the wall. C. Calculate the passive force acting on the wall.arrow_forwardIf the wall in the figure below has a length d1, height d2, and thickness 0.1 d2, and has a weight density of 20 kN/m3, then the distributed dead load of the wall * :along its length in kN/m is d16.1 d2=5.1 d2 A di В 0.1d2arrow_forward
- Use Eq. (12.3), Figure P12.2, and the following values to determine the at-rest lateral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H2 = 3 m, γ = 15.5 kN/m3, γsat = 18.5 kN/m3, Φ' = 34º, c' = 0, q = 20 kN/m2, and OCR = 1.arrow_forward12.3 Refer to Figure 12.12a. Given: H = 4 m, y = 16.5 kN/m³, ' = 30°, c' = 0, and B = 85°. Determine the Coulomb's active force per meter length of the wall and the location and direction of the resultant for the following cases: a. a 10° and 8' = 20° b. a = 20° and 8' = 15°arrow_forwardQuestion 3: A 4.5 m high wall with groundwater 1.5 m below from the top behind the wall has sandy backfill as shown. The bridge structure in front of the wall (which is not shown on the figure) prevents wall from movements. Calculate: a) the lateral force behind the wall exerted on the wall. b) the distance from the base of the wall to the center of this force. Bridge. 4.5 m 1.5 m y = 17 kN/m³ Ysat = 19 kN/m3 Sand c'= 0 $' = 37°arrow_forward
- 12.2 ), Figure P12.2, and the following values to determine the at-rest lat- eral earth force per unit length of the wall. Also find the location of the resultant. H = 5 m, H1 = 2 m, H, = 3 m, y = 15.5 kN/m², yt = 18.5 kN/m², 4' = 34°, c' = 0, q = 20 kN/m², . Repeat problem when water level Groundwater at ground surface. Figure P12.2arrow_forwardQ5: 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_forward4) A concrete gravity retaining wall having a unit weight of 150 pcf is shown in the figure. The Rankine active earth pressure resultant (lb/ft) on the wall is most nearly: a. 1080 b. 270 C. 1130 d. 1350 GRAVITY WALL 2ft T41 GRANULAR BACKFILL >=32° 81 C=0 10° n=110 pdarrow_forward
- Refer to Figure 12.13a. Given H = 4 m, α = 0, β = 85º, γ = 17 kN/m3, c' = 0, Φ' = 36º, ẟ'/Φ' = 0.5, and q = 30 kN/m2. Determine the Coulomb’s active force per unit length of the wall.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_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
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