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 13.14P
To determine
The Rankine passive force
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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 m
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 m
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.
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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- Active earth pressure per meter length on the retaining wall with a smooth vertical back as shown in the figure will be SAND 3 Y 2t/m O= 30° H= 9 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_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
- Determine 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_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_forwardPlease find the earth pressure at rest distribution value and resultant force on the retaining wall in figure below. The static side pressure coefficient is 0.5.arrow_forward
- 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? whenarrow_forwardA retaining wall is shown in Figure 1. Determine the Rankine active and passive force, per unit length of the wall and the location of the resultant with the following measurements and parameters given:arrow_forwardA retaining wall supports a horizontal backfill that is composed of two types of soil. The first layer is 4.74 meters high. It has a unit weight of 17.25 kN/m3. The second layer is 6.6 meters and has a unit weight of 18.4 kN/m3. If the angle of friction for both layers is 32°, determine the total active force (kN) acting on the retaining wall per unit width. Use stored value. Answer in 5 decimal places.arrow_forward
- For 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_forwardProb. 4 13.17 Figure 13.10 shows a frictionless wall with a sloping granular backfill. Given: H = 4 m, a = 10°, ø' = 33°, and y = 19 kN/m³. a. Determine the magnitude of active pressure, o, at the bottom of the wall. Also, state the direction of application of o. b. Determine the Rankine active force, Pas per unit length of the wall and its location and direction. H oa Frictionless wall Figure 13.10 Frictionless vertical retaining wall with sloping backfill © Cengage Learningarrow_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_forward
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