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 13, Problem 13.5P
To determine
Find the increase in lateral earth pressure
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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.
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°
.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.
Chapter 13 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.1CTP
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- A 3.1 m high vertical retaining wall is shown. a. What is the effective vertical stress acting at the base of the wall? b. What is the total active force acting on the wall? c. What is the total active moment on the wall? Please answer this asap. For upvote. Thank you very mucharrow_forwardA 5-m tall cantilever retaining wall retains soil having the following properties: Cohesion, c = 0 Unit weight, 19.8 kN/m3 Angle of internal friction, ϕ = 31⁰ The ground surface behind the wall is inclined at a slope of 3 horizontal to 1.6 vertical, and the wall has moved sufficiently to develop the active condition. Use Rankine’s Theory and consider 1 m length of wall. a. Determine the coefficient of active pressure b. Determine the total active force c. Determine the overturning moment on the wall Please answer this asap. For upvote. Thank you very mucharrow_forward3- A 15-ft-high retaining wall with a vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 133 lb/ft. Laboratory tests showed that the undrained shear strength, c,u, of the clay is 108 lb/ft? and ø' is 28 degrees. 1) Make the necessary calculation and draw the variation of Rankine's active pressure on the wall with depth. 2) Find the depth up to which tensile crack can occur. 3) Determine the total active force per unit length of the wall after the tensile crack occurs. Also, find the location of the resultant.arrow_forward
- QUESTION 4. A retaining wall 6 m high with a vertical back face retains a homogenous saturated soft clay. The saturated unit weight of the clay is 19 kN/m3. Laboratory tests showed that the undrained shear strength, Cuof the clay is 16.8 kN/m3, f=0o. Do the necessary calculations and draw the variations of Rankine’s passive pressure on the wall with depth Determine the total passive force per unit length of the wall. Find the location of the resultant force?arrow_forwardA retaining wall 6 m high is supporting a horizontal backfill of soil having a void ratio of 0.5 and specific gravity of 2.7. The angle of internal friction is 32. Compute the rankine active force on the wall if there is no water. ISelect) Compute the rankine active force on the wall if the water table is on top of the horizontal backfil level. | Select ) Compute the rankine active force on the wall if the water table is at the bottomn of the wall and the water content is 10N (Select)arrow_forwardA 6m vertical retaining wall is supporting a cohesion less horizontal back fill having a unit weight of 16kN/m3 and an angle off riction of 32 degrees. It carries a uniforms urcharge of15kN/m3. a)Determine the at rest lateral force per unit length of wall. b) Determine the Rankines active force per unit length of wall. c)Determine the Rankines passive force per unit length of wall.arrow_forward
- A smooth unyielding wall having a height of 3.5m retains a dense cohesionless soil with unit weight of 18.39 kN/m3. Effective unit weight of soil is 8.58 kN/m3.Groundwater table is located at 1m below the horizontal ground surface. Angle of internal friction is 37°.a. Compute the coefficient of earth pressure.b. Compute the pressure at 2.5m depth.c. Compute the total lateral force acting on the wall.arrow_forwardA retaining wall 6 m high is supporting a horizontal backfill of soil having a void ratio of 0.5 and specific gravity of 2.7. The angle of internal friction is 32°.Compute the rankine active force on the wall if there is no water.Compute the rankine active force on the wall if the water table is on top of the horizontal backfill level.Compute the rankine active force on the wall if the water table is at the bottom of the wall and the water content is 10%.arrow_forwardFor the given retaining wall as shown, determine the following: Note: The water table for the given soil profile is located at an H1 depth below the top of the wall. 9, = 20 kPa H = 2 m Ysat = 19 kN/m? O' = 25° H2 = 4 m Ysat = 20 kN/m? O' = 30° a) The total active force on the wall in kN. b) The total active moment at the bottom of the wall in kN-m. c) The required passive force to maintain equilibrium in kN. d) The theoretical passive force in kN. e) The total theoretical passive moment at the bottom of the wall in kN-m.arrow_forward
- 12.6 Refer to Figure 12.10. For the retaining wall, H = 8 m, ' = 36°, a = 10⁰, y = 17 kN/m³, and c' = 0. a. Determine the intensity of the Rankine active force at z = 2 m, 4 m, and 6 m. b. Determine the Rankine active force per meter length of the wall and also the location and direction of the resultant.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_forward3. A 6-m-high retaining wall is shown in the following picture , the wall is vertical and frictionless. For the backfill, it is known that c=10kPa , 9=30° , y=18&N /m² .Try to use Rankine's theory of earth pressure to calculate the active force per unit length of the wall and the location of the resultant. (Note: p, = yzK, – 2c.JK, , K¸ = tan°(45° – 2) ). 4 4 4 Harrow_forward
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