Principles of Foundation Engineering, SI Edition
9th Edition
ISBN: 9781337672085
Author: Das, Braja M., SIVAKUGAN, Nagaratnam
Publisher: Cengage Learning
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Chapter 16, Problem 16.2P
To determine
Find the magnitude and location of the thrust on the wall.
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A cantilever retaining wall of 7 meter height (Fig. Ex. 11.2) retains sand. The properties of the sand
are: e=0.5, 0= 30 and G, = 2.7. Using Rankine's theory determine the active earth pressure at the
base when the backfill is (i) dry, (i) saturated and (i) submerged, and also the resultant active force
in each case. In addition determine the total water pressure under the submerged condition.
- Backfill submerged
e0.5
G, 2.7
30
Dry backfill
7 m
Sand
Backfill saturated
Water pressure
P-25.9 KN/m
P41.2 kN/m
AB is the wall considered
P.48.81 KN/m
yH= 68.67 kN/m? - p.
Figure Ex. 11.2
A cantilever retaining wall supports 2 layers of soil and surcharge as shown below. The layers have these properties:
Layer 1: 1.8m thick. γ = 17.4 kN/m3 and ϕ = 22 degrees
Layer 2: 4.2m thick. γsat = 18.1 kN/m3 and ϕ = 30 degrees
The angle of friction between the base and soil is 42 degrees. Unit weight of concrete is 23.6 kN/m3
What is the design moment (kNm / m) at the bottom of the stem?
None of the choices
819.98
478.88
363.00
299.30
Please answer this asap. For upvote. Thank you very much
For a smooth vertical wall retaining a granular backfill inclined at an angle of a = 15 ° , check whether Eqs . ( 16.70 ) and (16.72 ) ( or Tables 16.9 and 16.10 ) give the same values for the passive earth pressure coefficient . Use Ø' = 30° and 40°.
Chapter 16 Solutions
Principles of Foundation Engineering, SI Edition
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- A retaining wall 6m high retains sand with φ = 30° and unit weight24kN/m3 upto the depth of 3 m from top. From 3 m to 6 m the material is cohesive soil with c = 20kN/m2 and φ = 20°. Unit weight of cohesivesoil is 18 kN/m3 A uniform surcharge of 100 kN/m2 acts on top of thesoil determine the total lateral pressure acting on the wall and its pointsof application.arrow_forwardQ1/ In Fig. 1 a retaining wall has a vertical back and is 8 m high. Determine the magnitude and the location the resultant of active force per unit meter with plot the diagram of active earth pressure. Neglecting the effect of wall friction. plot the diagram of active earth pressure Surcharge 30 kN/m2 Sand Y = 17 kN/m2 $ = 30° 3 m W.T. Sand 7= 20 k/m2 5 m $ = 35°arrow_forwardA retaining wall supports a horizontal backfill that is composed of two types of soil. First layer: 4.84 meters high, Unit weight of 17.36 kN/m3, coefficient of active pressure of 0.285 Second layer: 5.68 meters high, Unit weight of 18.9 kN/m3, coefficient of active pressure of 0.307 Determine the distance of the total active force measured from the bottom of the wall. Round off to three decimal places.arrow_forward
- = A vertical retaining wall 8.8 meters high retains a horizontal backfill having the following properties: Void ratio = 0.78; Specific Gracvity = 2.69; Water Content 28 %; Angle of internal Friction = 25°. Compute the location of the active force in meters from the bottom of the wall acting on it if the water table is 2.8 meters below the ground surface.arrow_forwardSolve the below problem in typed form. A retaining wall 5 m high was designed to stabilize a slope of 15°. The back of the wall is inclined by 10° to the vertical and may be assumed to be rough with a friction between the soil and wall of 20°. The soil has a friction angle of 30° and a saturated unit weight of 17.5 kN/m3. After a flood, the ground water level, which is usually below the base of the wall, rose to the surface. Calculate the lateral earth pressure and force on the wall. Neglect seepage effects.arrow_forwardA vertical wall of 6 m height with a smooth back has silt as backfill, has following properties: Cohesion, C = 5 kN/m² Angle of internal friction, o = 20° Unit weight, y = 18 kN/m³ The passive earth pressure acting on the wall fromarrow_forward
- Assume that a frictionless retaining wall 15 ft high having a vertical backface supports a sandy soil with a unit weight of 118 pcf and an angle of internal friction of 34°. The soil backfill is level. Calculate the difference in the lateral force imposed onto the wall (per foot of wall length) when the at-rest lateral pressure condition applies compared to when the active lateral pressure condition applies (express the difference as a percentage increase related to the active pressure condition).arrow_forwardA vertical wall 6 m high above the water table, retains a 20° soil slope, the retained soil has a unit weight of 18 kN/m³, the appropriate shear strength parameters are C = 0 and + = 40°. The coefficient of active earth pressure to be used in estimating the active pressure acting on the wall isarrow_forwardA cantilever retaining wall of 7 meter height (Fig. Ex. 11.2) retains sand. The properties of the sand are: e=0.5, 0= 30 and G, = 2.7. Using Rankine's theory determine the active earth pressure at the base when the backfillis (i) dry. (i) saturated and (i) submerged, and also the resultant active force in each case. In addition stetermine the total water pressure under the submerged condition. e0.5 - Backfill submerged G, 2.7 Dry backfill Sand Backfill saturated Water pressure P.-25.9 kN/m P41.2 KN/m AB is the wall considered P.48.81 AN/m yH = 68.67 KN/m p. Figure Ex. 11.2arrow_forward
- A gravity retaining wall retains 12 m of a backfill, y = 17.7 kN/m² = 25° with a uniform horizontal surface. Assume the wall interface to be vertical, determine the magni tude and point of application of the total active pressure. If the water table is a height of 6 m. how far do the magnitude and the point of application of active pressure changed? Please solve carefully and don't give wrong answers and box the final answersarrow_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_forwardA 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_forward
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