Principles of Foundation Engineering (MindTap Course List)
Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
Question
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Chapter 16, Problem 16.1P
To determine

Find the magnitude and location of the thrust on the wall.

Expert Solution & Answer
Check Mark

Answer to Problem 16.1P

The magnitude of the thrust on the wall is 7,348.5lb/ft_.

The location of the thrust on the wall is 5ftabove the bottom of the wall_.

Explanation of Solution

Given information:

The height of the wall (H) is 15 ft.

The overconsolidated ratio (OCR) is 1.5.

The cohesion (c) is 0.

The angle of internal friction (ϕ) is 33°.

The unit weight of the soil (γ) is 115lb/ft3.

Calculation:

Show the pressure distribution of the vertical wall as in Figure (1).

Principles of Foundation Engineering (MindTap Course List), Chapter 16, Problem 16.1P

Find the coefficient of earth pressure at rest (Ko) using the relation:

Ko=(1sinϕ)OCRsinϕ=(1sin33°)1.5sin33°=0.568

Find the magnitude of the thrust on the wall (Po) using the relation:

Po=0.5KoγH2=0.5×0.568×115×152=7,348.5lb/ft

Hence, the magnitude of the thrust on the wall is 7,348.5lb/ft_.

The resultant is acting at H3 of the wall.

Determine the location of the thrust on the wall using the relation:

Location of the thrust on the wall=H3=153=5ft

Thus, the location of the thrust on the wall is 5ftabove the bottom of the wall_.

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SITUATION 2: A retaining wall 6 m high supports cohesionless soil having a dry density of 1600 kg/m?,angle of resistance 32° and void ratio of 0.68. The surface of the soil is horizontal and level with the top of the wall. Neglecting wall friction and using Rankine's formula for active pressure of a cohesionless soil. 6. Determine the nearest value of the total earth thrust on the wall in KN per lineal meter if the soil is dry. а. 73.1 c. 62.4 b. 86.7 d. 98.1 7. Find the nearest value of the thrust on the wall in KN per lineal meter if owing to inadequate drainage, it is waterlogged to a level of 3.5 m below the surface. а. 112 c. 147 b. 171 d. 153 8. Find at what height above the base of the wall the thrust acts during the waterlogged condition. а. 2.21 m c. 1.74 m b. 2.00 m d. 1.42 m
please, solve question 16.1   question in figure
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
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