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 13, Problem 13.22P
(a)
To determine
Find the magnitude of active pressure
(b)
To determine
Find the Rankine active 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°
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.
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?
when
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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- 14.9 In Figure 14.13a, let H = 6 m, y = 16.5 kN/m², o' = 30°, 8' = 20°, c' = 0, a = 10°, and ẞ = 80°. Determine the Coulomb's active force per meter length of the wall and the location and direction of the resultant force.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_forwardDetermine the active lateral earth pressure on the frictionless wall shown in the figure below. Sketch the lateral earth pressure distributions and calculate the resultant force and its location from the base of the wall. Also, determine the moments of passive and active forces. Neglect seepage effects. Use Rankine's earth pressure method. (w = 10 kN/m) 3.0m Ysat 20 kN/m³ y = 19 kN/m²³ ' = 30° Ysat = 20 kN/m³ y = 18 kN/m³ o = 28 6.0marrow_forward
- The retaining wall shown above is subjected to an active earth pressure distribution as illustrsted in the figure. What is the eccentricity of the resultant load acting on this wall (measured from the centre of the wall)? XX w=240 kN/m 5m length W 2m 35 kPa O 0.31 m O 0.61 m O 0.23 m O 0.41 marrow_forwardA) Figure (2) shows the velocity distribution for flow of water between two parallel plates. Velocity profile: u = 10(0.01y - y²). Figure (2) Find: 1) The value of Y. 2) Shear stress at the wall. 3) Shear stress at 20μm from the wall. 4) Location of zero shear stress 5) Location of maximum velocity.arrow_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_forward
- Question (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_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_forwardDetermine 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°arrow_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_forward3. Calculate and draw to scale the earth pressures along the back of the retaining wall in the Figure 1. Then calculate the over-turning moment around point o . p = 1800 kg/m3 C = 0 kPa 1.5m P = 22 p = 1600 kg/m³ c =15 kPa O = 18 1.5m 0.5m Point O 0.5m 1m Figure 1arrow_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
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