   Chapter 13, Problem 13.23P Principles of Geotechnical Enginee...

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

Solutions

Chapter
Section Principles of Geotechnical Enginee...

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

An 8.5-m high retaining wall with a vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 19.6 kN/m3. Laboratory tests showed that the undrained shear strength, cu, of the clay is 22 kN/m2.a. Make the necessary calculations and draw the variation of Rankine’s active pressure on the wall with depth.b. Find the depth up to which tensile crack can occur.c. Determine the total active force per unit length of the wall before the tensile crack occurs.d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also find the location of the resultant.

(a)

To determine

Draw the variation of Rankine’s active pressure on the wall with depth.

Explanation

Given information:

The height (H) of the retaining wall is 8.5 m.

The saturated unit weight γsat of the clay is 19.6kN/m3.

The undrained shear strength cu of the clay is 22kN/m2.

The soil friction angle ϕ is 0°.

Calculation:

Determine the active pressure σa at the top of the wall using the formula.

σa=γz2cu

Here, γ is the unit weight of the soil and z is the depth.

Substitute 0 m for z and 22kN/m2 for cu.

σa=γ(0)2(22)=044=44kN/m2

Determine the active pressure σa at the bottom of the wall using the formula.

σa=γsatz2cu

Substitute 19

(b)

To determine

Find the depth zo where the tensile crack can occur.

(c)

To determine

Find the total active force Pa per unit length of the wall before the crack occurs.

(d)

To determine

Find the total active force Pa per unit length of the wall after the tensile crack occurs and also find the location of the resultant.

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