Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337947060
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).

Bundle: Principles Of Foundation Engineering, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card, 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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