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 14.8P
To determine
Find the passive force
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12.3
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°
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
Determine 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°
Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Q.2 The thin-walled section is shown in figure has uniform wall thickness of 0.5 in. Assume a = 1 in, b = 3 in, h = 8 in. if it is subjected to vertical downward shear force, V = 1200 lb. a) Draw the shear flow diagram for the cross section. b) Compute the distance e from the center line of the wall to the shear center S.arrow_forwardQ: 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_forwardRefer to Figure 12.15. Here, H = 5 m, γ = 18.2 kN/m3, Φ' = 30º, ẟ' = 20º, c' = 0, α = 10º, and β = 85º. Determine the Coulomb’s active force for earthquake conditions (Pae) per meter length of the wall and the location and direction of the resultant. Given kh = 0.2 and kv = 0.arrow_forward
- Refer to the Coulumb Active Earth Pressure. Given alpha = 10 degree; Beta=85 degrees;H - 4m;unit weight of soil = 15 kN/m^3; soil friction angle = 30 degree; and sigma=15 degrees. Estimate the active force, Pa, per unit length of the wall. Also, state the direction and location of the resultant force, Pa.arrow_forwardRefer 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_forwardA retaining wall is shown in Figure 1. Determine the Rankine active and passive force, per unit length of the wall and the location of the resultant with the following measurements and parameters given:arrow_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_forwardQuestion (2): If the wall is 3.5 m, determine an show the resultant force that water exert on the overhang sea wall along ABC, as shown in Figure (1). 1.5 m Figure (1) 2 m 2.5 marrow_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_forward
- 1. Refer to Figure below For H = 6 m, y = 17.0 kN/m³, o' = 36°, c' = 0, ß = 85°, a = 10°, and 8' = 24°, assume that the backfill is in the active state and use Coulomb’s equation to determine the magnitude, location, and direction Pa of the active thrust on the wall. H 2. what would be the active thrust Pa there is a surcharge of 25 kN/m² at the ground level? whenarrow_forwardFor the frictionless wall shown in Figure No 1, Calculate the following: (a) The active lateral earth pressure distribution with depth. (b) The passive lateral earth pressure distribution with depth(c) The magnitudes and locations of the active and passive forces. (d) The resultant force and its location. (e) The ratio of passive moment to active moment. Note: UDL should be considered as mentioned in the figurearrow_forwardProb. 1, 2, 3. 13.13 through 13.15 A retaining wall is shown in Figure 13.37. For each problem, determine the Rankine active force, P.r per unit length of the wall and the location of the resultant. Problem H H, Y2 o' (deg) o' (deg) 13.13 4.3 m 2.1 m 16.2 kN/m 19.9 kN/m³ 28 28 19.1 kN/m 12 kN/m? 21 kN/m² 13.14 7.3 m 3 m 18 kN/m? 32 32 13.15 9 m 16.5 kN/m 20.2 kN/m³ 4 m 30 34 Surcharge = q Sand cj = 0 Groundwater table H Sand Y2 (saturated unit weight) cz = 0 Frictionless wall Figure 13.37 Cengage Learning 2014 © Cengage Leaming 2014arrow_forward
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