Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 16, Problem 16.16P
To determine
Calculate the magnitude of the active thrust on the wall.
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Refer 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.
It 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.
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 16 Solutions
Principles of Foundation Engineering (MindTap Course List)
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- (Solve the following exercise, showing and explaining step by step to its resolution). A retaining wall with vertical walls 8.00 m high supports the thrust of a sand with a volumetric weight in its natural stratum of 1800 kg/m3 and an angle of internal friction of 35°. The ground surface is horizontal. Determine the thrust on the wall per metre of depth and mark the forces acting on the wall; neglect the passive thrust.arrow_forwardDetermine the magnitude (Mw) of an earthquake resulting from a fault having a rapture length of 175km and width of 12km .The slip was found to be 2m .Take shear modulus of the rock is 3*10^10N/m^2 .Also compute its energy with a magnitude : 6 eventarrow_forwardPlease solve this problem step by step with clear calculations and solutions so I can understand the concept and theory behind the question. Thank youarrow_forward
- Please answer 13.21arrow_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_forwardQ1- An earthquake causes an average of 3.5 m strike-slip displacement over a 120 km long, 15 km deep portion of a transformed fault. Assuming that the rock along the fault had an average rupture strength of 150 kP, estimate the seismic moment and moment magnitude of the earthquake? log Mo/, 5- 10.7) (M. = µAD; M, 1.5arrow_forward
- | 166 kPa 54 kPa x 33 kPa Stresses on a x-y Cubic Element in the 0₁-03 plane. Questions 4-10 Draw Mohr's Circle for the stress condition shown above to answer the questions.arrow_forward7) A circular horizontal N_S tunnel of 2 m radius will be constructed at a depth of 560 m below surface as shown in Figure 1. The vertical stress gradient is found to be 0.025 MPa/m. The horizontal stresses in the north and east directions are on = 13 MPa and ge =14 MPA Estimate the radial and tangential stresses for = 0° and = 90° from the east axis. 560 m Narrow_forwardAssume that during a major earthquake, the depth of fault rupture is estimated to be 15 km, the length of surface faulting is determined to be 600 km, and the average slip along the fault is 2.50 m. Based on these assumptions, determine the moment magnitude. Use shear modulus equal to 3x1010 N/m?.arrow_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_forwardA 6m retaining wall is supporting a soil with the following properties:Unit weight = 16 KN/cu.mAngle of internal friction = 25ºCohesion = 14 Kpaa. Assuming no tensile cracks occurs in the soil; determine its normal pressure acting at the back of the wall.b. If tensile crack occurs in the soil, calculate its active pressure acting on the wall.c. Find the location of tensile crack measured from the surface of horizontal backfill.arrow_forwardYou are working for a consulting firm that has been asked to evaluate the factor of safety of the wall shown in the figure supported by a well-degraded sand. The resultant load behind the concrete wall acts at the one third point. Dw 1m 1.5 m 24 kN/m³ y = 20 kN/m³ 26.5 kN/m 24° = 34° n = 0.4 3 m (a) Determine the factor of safety if Dw − D > 1.5B. Ignore the lateral passive resistance due to the soil in front of the wall. (b) Determine the factor of safety if the ground water table rises to 0.5 m below the base of the wall. Discuss the significance of your observations.arrow_forward
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