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 14.4P
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°
Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- SOLVE USING RANKINES THEORYarrow_forwardA 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_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
- 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_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_forward6. 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_forward
- Please answer 13.21arrow_forward13.22 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.arrow_forwardA = 4 B = 0 C = 3 D = 7arrow_forward
- sxarrow_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_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
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