Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 14, Problem 14.4P
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
6. Details of a retaining wall are shown in the figure below. The unit weight of the wall
material is 23 kN/m³. Assume a reduction factor K = 2/3 to consider the cohesion and
friction angle at the base slab. Check the stability of the wall in terms of overturning and
sliding failure. Use Rankine's theory to compute the active earth pressure.
6.5 m
tu 1
2 m
Yc = 23 kN/m³
4 m
-1.5m -
Soil 2
Y2 = 17 kN/m³ ₂ = 10 kN/m²
P2 = 25°
a = 15⁰
Soil 1
Y₁ = 16 kN/m³
c₁ = 0 kN/m²
4₁ = 30°
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
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Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- 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_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_forward6. Details of a retaining wall are shown in the figure below. The unit weight of the wall material is 23 kN/m³. Assume a reduction factor K = 2/3 to consider the cohesion and friction angle at the base slab. Check the stability of the wall in terms of overturning and sliding failure. Use Rankine's theory to compute the active earth pressure. Soil 2 Y2 = 17 kN/m³ 6.5 m Im 2 m <-1.5m - Yc = 23 kN/m³ c₂ = 10 kN/m² 92 = 25° a = 15⁰ Soil 1 Y₁ = 16 kN/m³ c₁ = 0 kN/m² P₁ = 30°arrow_forward
- 6. Details of a retaining wall are shown in the figure below. The unit weight of the wall 2/3 to consider the cohesion and material is 23 kN/m³. Assume a reduction factor K friction angle at the base slab. Check the stability of the wall in terms of overturning and sliding failure. Use Rankine's theory to compute the active earth pressure. 6.5 m m Ye= 23 kN/m³3 4 m -1.5m Soil 2 Y2 = 17 kN/m³ c₂ = 10 kN/m² 42 = 25° a = 15° Soil 1 Y₁ = 16 kN/m³ c₁ = 0 kN/m² 4₁ = 30°arrow_forwardA frictionless retaining wall is shown ih the figure below. q= 10 kN/m 1= 15 kN/m o = 26° d'=8 kN/m 4 marrow_forwardUse 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_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_forwardIt was found that the backfill against a retaining wall (6 meters in height as shown in Figure 3) has specify weight y= 16 kN/m³ when its water content w= 5 %, S = 0.12, its internal friction angle was measured as 30° (take G,= 2.7 and xw = 10 kN/m³). a. Predict distribution of lateral stress on this retaining wall along its depth in its “at rest" state, and its resultant force. b. Rain leads the backfill water content increase to 10% in its upper half, and saturated in its lower half, find and plot its lateral stress and pore pressures along its depth in an active state.arrow_forward13.2 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine active force per unit length of the wall, the variation of active earth pressure with depth, and the location of the resultant. If H = 4m, Ø = 36° and y = 18 kN/m3 kN Ans. P, = 37.44", z = 1.33m m 13.3 Assume that the retaining wall shown in Figure 13.9 is frictionless. Determine the Rankine passive force per unit length of the wall, the variation of lateral earth pressure with depth, and the location of the resultant. If H = 5m, Ø = 35° and y = 14 kN/m? Ans. Pp 645.8 kN z = 1.67m m. Sand Unit weight = y (or density = p) %3D H c' = 0 8' (angle of wall friction) = 0 Figure 13.9arrow_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_forwardConsider a 4-m-high retaining wall with a vertical back and horizontal granular backfill, as shown in Figure 12.25. Given: γ = 18 kN/m3, Φ' = 40º, c' = 0, ẟ' = 20º, kv = 0, and kh = 0.2. Determine the passive force Ppe per unit length of the wall taking the earthquake effect into consideration.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_forward
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