Find the magnitude and location of the passive force
Answer to Problem 14.11P
The magnitude of the passive force
The location of the resultant measured from the bottom of the wall is
Explanation of Solution
Given information:
The magnitude of surcharge loading (q) is
The unit weight
The height (H) of the retaining wall is 7.0 m.
The soil friction angle
The angle of wall friction
The cohesion
The soil-wall interfall adhesion
The horizontal inertial
The vertical inertial
Calculation:
Determine the ratio of angle of wall friction to the soil friction angle.
Determine the ratio of soil-wall interfall adhesion to the cohesion.
Determine the magnitude of the passive force due to earthquake conditions using the formula.
Here,
Refer Figure (14.9b) “Variation of
For
Take the value of
Refer Figure (14.10b) “Variation of
For
Take the value of
Refer Table (14.7) “Variation of
For the ratio of angle of wall friction to the soil friction angle is 0.5.
The value of
Substitute
Thus, the magnitude of the passive force
Determine the unit weight of the passive force
Substitute
Determine the distance of passive earth force acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the weight of surcharge component using the formula.
Substitute
Determine the distance of surcharge component acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the unit weight of the cohesion component using the formula.
Substitute
Determine the distance of cohesion component acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the location of the resultant measured from the bottom of the wall using the formula.
Substitute
Thus, the location of the resultant measured from the bottom of the wall is
Want to see more full solutions like this?
Chapter 14 Solutions
PRIN.OF GEOTECHNICAL...-MINDTAP(2 SEM)
- A frictionless retaining wall is shown in the figure below. q=10 kN/m² 7=15 kN/m³ = 26° c' = 8 kN/m² Determine: a. The active force after the tensile crack occurs. (kN/m) b. The passive force. (kN/m) c. Location of passive force from the base of the wall (m)arrow_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_forwardGiven the height of the retaining wall, H is 6.4 m; the backfill is a saturated clay with f 5 08, c 5 30.2 kN/m2 , gsat 5 17.76 kN/m3 , 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_forward
- Q5) Refer to the Figure below. Given the height of the retaining wall, H is 5.4 m; the backfill is a saturated clay with Ø' = 0, c= 40 kN/m2, ysat = 19.5kN/m, 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 meter length of the wall before and after the occurrence of the tensile crack. Wall movement to left 45 + d'/2 45 + 6'/2 Rotation of wall about this point (а)arrow_forwardA retaining wall 6 m high with a vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 19.8 kN/m^3. Laboratory tests showed that the undrained shear strength, cu, of the clay is 14.7 kN/m^2. a. Do the necessary calculations and draw the variation of Rankine’s active pressure on the wall with depth. b. Find the depth up to which a tensile crack can occur. c. Determine the total active force per unit length of the wall before the tensile crack occurs. d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also find the location of the resultant.arrow_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
- is 7 m high with a horizontal backfill. For 12.4 A vertical retaining wall the backfill, assume that y = 16.5 kN/m', ' 26°, and c' = 18 kN/m2. Determine the Rankine active force per unit length of the wall after the occurrence of the tensile crack. For the retaining wall, determine the Rankine active force per unit length of the wall and the location of the line of action of the 12.5 resultant. 12.6 For the retaining wall, H = 8 m, h' = 36°, a = 10°, y = 17 kN/m', and e' = 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. 12.7 Given: H = 7 m, y = 18 kN/m', ' = 25°, c' = 12 kN/m2, and a = 10°. Calculate the Rankine active force per unit length of the wall after the occurrence of the tensile crack. YI H Groundwater table H Figure P12.2arrow_forwardProblem 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_forwardQ.6 A rigid retaining wall 19.69 ft high has a saturated backfill of soft clay soil. The properties of the clay soil are ϒsat = 111.76 lb/ft3 , and unit cohesion cu = 376 lb/ft2 . Determine (a) the expected depth of the tensile crack in the soil (b) the active earth pressure before the occurrence of the tensile crack, (c) the active pressure after the occurrence of the tensile crack. I need solution of part c onlyarrow_forward
- 13.22 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_forward7. For a vertical retaining wall 5 m high with level backfill and the properties y = 16N, 6 = 32°, 8 = 10°, ku = 0.15, kp = 0.25, determine the active earth pressure force Pae during an earthquake using Mononobe-Okabe theory: 8. For the wall in the previous problem, determine the passive earth pressure force from Coulomb and log-spiral theory.arrow_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
- Principles of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage Learning
- Fundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning