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 13.6P
To determine
Find the increase in lateral earth pressure force
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3. 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
6m
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.
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?
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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- 11.7 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_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_forwardvertical 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. Angle of internal friction is 32 degrees. 1. Compute the rankine force active on the wall if there is no water. 2. Compute the rankine active force on the wall if the water is on top of the horizontal backfill level. 3. 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_forward
- 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 marrow_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_forwardA 5 m high retaining wall having a smooth vertical back face retain a layered horizontal backfill. Top 2 m thick layer of the backfill is sand having an angle of internal friction, O = 30° while the bottom layer is 3 m thick clay with cohesion, c = 30 kPa. Assume unit weight of sand and clay as 20 and 18 kN/m³, respectively. The total passive earth pressure per unit length of the wall is, kN/m.arrow_forward
- For 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. = 22.5 kPa 17 kN/m3 H, = 2.5 m Yvar = O = 25° H2 = 4.5 m Ysat = 18.5 kN/m3 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. WRITE YOUR ANSWER IN TWO DECIMAL PLACES. ROUND OFF ONLY AT THE END RESULT.arrow_forwardII. The semi-gravity retaining wall shown in Figure 2.1 Figure 2.1 is made of mass concrete with a unit weight of 23.6 kN/m. Determine it's deadweight per meter length. 730 60 60 120 360 300arrow_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
- 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 retaining wall supports a horizontal backfill that is composed of two types of soil. The first layer is 4.47m high. It has a unit weight of 16.92kN/m3. The second layer is 5.76m and has a unit weight of18.51 kn/m3. If the angle of friction for both layers is 38 degrees, determine the total active force (kN) acting on the retaining wall per unit. Use stored value. Asnwer on 5 decimal places.arrow_forwardConsider a 4-m-high retaining wall with a vertical back and horizontal granular backfill, as shown in Figure 12.25. Given: γ = 18 kN/m3, Φ' = 40º, c' = 0, ẟ' = 20º, kv = 0, and kh = 0.2. Determine the passive force Ppe per unit length of the wall taking the earthquake effect into consideration.arrow_forward
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