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Principles of Geotechnical Enginee...

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

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

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

If a consolidated-drained test is conducted on the clay specimen of Problem 12.19 with the same chamber-confining pressure of 225 kN/m2, what would be the deviator stress at failure?

12.19 The shear strength of a normally consolidated clay can be given by the equation τ f = σ tan 21°. The results of a consolidated-undrained test on the clay are

Chamber confining pressure = 225 kN/m2

Deviator stress at failure = 112 kN/m2

Determine:

a. The consolidated-undrained (total stress) friction angle

b. Pore water pressure developed in the specimen at failure

To determine

Find the deviator stress at failure.

Explanation

Given information:

The chamber confining pressure (σ3) is 225kN/m2.

The angle of friction ϕ is 21°.

The deviator stress (Δσd)f at failure is 112kN/m2.

Calculation:

Calculate the major principal stress (σ1) on the clay specimen using the formula.

σ1=σ3tan2(45+ϕ2) (1)

Here, σ1 is the major effective principal stress, σ3 is the minor effective principal stress, and ϕ is angle of friction.

Substitute 225kN/m2 for (σ3) and 21° for ϕ in Equation (1).

σ1=225tan2(45+212)=225tan2(55

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