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 13.21P
(a)
To determine
Find the magnitude of active pressure
(b)
To determine
Find the Rankine active force
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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.
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 13.9
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.
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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Similar questions
- Prob. 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_forward1. 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_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
- 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.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_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
- 45.) A retaining wall supports a horizontal backfill that is composed of two types of soil. First layer: 5.91 meters high, Unit weight of 17.26 kN/m3, coefficient of active pressure of 0.291 Second layer: 5.36 meters high, Unit weight of 18.85 kN/m3, coefficient of active pressure of 0.301 Determine the distance of the total active force measured from the bottom of the wall. Round off to three decimal places.arrow_forward3. Draw the pressure diagram of the retaining wall with the soil profile shown both in active and passive cases. Solve for the active and passive lateral force and its location from the bottom of the wall. 4.5 KPa Gs = 2.73 e = 0.67 Ø = 27° C =0 KPa %3D 4m Gs = 2.66 %3D e = 0.85 Ø = 34° C = 5 KPa 6marrow_forward11.7 A retaining wall is shown in Figure 11.22. Determine the Rankine active force, Pa, per unit length of the wall and the location of the resultant for each of the following cases: a. H = 12 ft, H, = 4 ft, y, = 105 lb/ft, y= b. H = 20 ft, H, = 6 ft, y, = 110 lb/ft, y = 126 lb/ft', oi = 34°, d; = 34°, q = 300 lb/ft 122 Ib/ft', i = 30°, = 30°, q = 0 6 Cengage Learning. All Riphts Reserved. May not be copied, scanned, or duplicated, in whole or in part Due to elsctronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). s deemed that any suppressed content does nol maierially affect the overall learning exnerience Ceneaec ernin neerves the right to mrmove additional.contantarrow_forward
- 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°arrow_forwardRefer to Figure 12.6a. Given the height of the retaining wall, H is 18 ft; the backfill is a saturated clay with Φ = 0º, c = 500 lb/ft2, γsat = 120 lb/ft3,a. Determine the Rankine active pressure distribution diagram behind the wall.b. Determine the depth of the tensile crack, zc.c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack.arrow_forward3) A retaining wall is illustrated IN THE Figure. Determine the Rankine active force, (Pa) per unit length of the wall and the location of the resultant. H = 9 m, H1 = 4 m, Υ1 = 16.5 kN/m3, Υ2 = 20.2 kN/m3, ø'1 = 30, ø'2 = 34, q= 21 kN/m2arrow_forward
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