Chapter 13, Problem 13.8P

### Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

Chapter
Section

### Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

# The 5-m high retaining wall in Figure 13.40c is subjected to a surcharge strip load of q = 105 kN/m2 on the ground surface. Determine the total force per unit length of the wall due to the strip loading only.13.8 Refer to Problem 13.7. Determine the location of the resultant total force z ¯ . Use Eq. (13.27).(c)

To determine

The location z¯ of the resultant force.

Explanation

Given information:

The strip load (q) is 105kN/m2.

The starting point (a) of load from the retaining wall is 1.5 m.

The length (b) of the load is 0.75 m.

The height (H) of the retaining wall is 5 m.

Calculation:

Determine the angle θ1 using the formula.

θ1=tan1(bH)

Substitute 0.75 m for b and 5 m for H.

θ1=tan1(0.755)=8.53°

Determine the angle θ2 using the formula.

θ2=tan1(a+bH)

Substitute 1.5 m for a, 0.75 m for b, and 5 m for H.

θ2=tan1(1.5+0.755)=24.22°

Determine the R value using the formula.

R=(a+b)2(90°θ2)

Substitute 1.5 m for a, 0.75 m for b, 24.22° for θ2.

R=(1.5+0.75)2(90°24.22°)=333.01

Determine the value of Q using the formula

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