Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 14, Problem 14.13P
(a)
To determine
Find the active force per unit length of the wall for horizontal backfill.
(b)
To determine
Find the active force per unit length of the wall for inclined backfill with
(c)
To determine
Find the active force per unit length of the wall for horizontal backfill.
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Problem 3:
A vertical retaining wall 6 m high is supporting a horizontal backfill
having a weight 16.5 kN/m and a saturated unit weight of 19 kN/m?.
Angle of trictian of the backfill is 30. Ground water table is located 3 m
below the ground surface.
1. Determine the at rest lateral
earth force per meter length
of the wall.
3.0 m
2. Determine the location of
the resultant force.
3. Determine the at rest lateral
earth force per meter length
af the wall if it carries a
surcharge of 50 kPa.
3.0 m
A retaining wall 7 m high, with its back face smooth and vertical. It retains sand with its surface horizontal. Using Rankine’s theory, determine the active earth pressure at the base when the backfill is submerged with water table at the surface. Take γ=18 kN/m^3 ,ϕ=30°, γ_sat=21 kN/m^3.
A retaining wall 7 m high, with its back face smooth and vertical. It retains sand with its surface horizontal. Using Rankine’s theory, determine the active earth pressure at the base when the backfill is saturated. Take γ=18 kN/m^3 ,ϕ=30°, γ_sat=21 kN/m^3.
Chapter 14 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A retaining wall supports a horizontal backfill that is composed of two types of soil. The first layer is 4.79 meters high. It has a unit weight of 16.61 kN/m3. The second layer is 6.58 meters and has a unit weight of 18.72 kN/m3. If the angle of friction for both layers is 34°, determine the total active force (kN) acting on the retaining wall per unit width. Final answer should be in two decimal places.arrow_forwardA vertical cantilever wall 6 m high retains soil that has a following properties Unit weight of soil = 19.2 kN/m^3 Angle of friction = 30 degrees The surface of the backfill behind tthe wall is inclined at a slope of 3 horizontal to 1 vertical and the wall has moved sufficiently to develop the active condition. a) Determine the Rankine Coefficient of active earth pressure. b) Find the normal force acting at the back of the wall considering a unit width. (in kN). c) Determine the shear force acting at the back of the wall. (in kN)arrow_forwardA vertical wall 6 m high above the water table, retains a 20° soil slope, the retained soil has a unit weight of 18 kN/m³, the appropriate shear strength parameters are C = 0 and + = 40°. The coefficient of active earth pressure to be used in estimating the active pressure acting on the wall isarrow_forward
- 13.2 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_forwardA retaining wall 7 m high, with its back face smooth and vertical. It retains sand with its surface horizontal. Using Rankine’s theory, determine the active earth pressure at the base when the backfill is dry. Take γ=18 kN/m^3 ,ϕ=30°, γ_sat=21 kN/m^3.arrow_forward13.22 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 2014arrow_forward
- A 9 m high retaining wall is laterally supported at the top and fixed at the base. The wall resists active earth pressure increasing from 0 at the top to 52 kN/m at the base of the per meter length along the longitudinal axis. Determine the design moment at the base. Apply the fixed end moment equation wL^2/30 at the top and wL^2/20 at the base. Assume the El is constant. 315.9 280.8 164.9 O204.6arrow_forwardA cantilever retaining wall of 8 meter height retains sand. The properties of sand are; e= 0.4, phi = 30 degree, G = 2.65, gamma_{w} = 9.8kN / (m^3) Using Rankine's theory, the active earth pressure at the base when the back fill is dry is?arrow_forwardQ.9 A smooth retaining wall is 4 m high and supports a cohesive backfill with a unit weight of 17 kN/m3. The shear strength parameters of the soil are cohesion =10 kPa and Ø = 10°. Calculate the total active thrust acting against the wall and the depth to the point of zero lateral pressurearrow_forward
- Calculate the active and passive earth pressures AND. determine the distance at which the net active and passive force will acting on the retaining wall Ya=19 kN /m3 - 34 c=3kp 2m 6=34 %3D Vd = 17.54kN/m3 8=32"; ċ=o %3D 1.5m %3D = 21. BkN/m3 V sat 8= 31; c'= o %3D 1.5m %3D Ysat = 22.lkN/m3 5 m 8=30;cioarrow_forwardA vertical retaining wall 6 m. high retains a soil having the following properties. Unit weight of cohesionless soil = 19.2 kN/m3, angle of internal friction = 30°. The ground surface behind the wall is inclined at a slope of 3 horizontal and 1 vertical and the wall has moved sufficiently to developthe active condition.• Compute the Rankine’s coefficient of active earth pressure.• Compute the normal force acting on the back of the wall using Rankine’s theory.• Compute the vertical component of the force acting on the back of the wall using Rankine’s Theory.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_forward
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