Chapter 12, Problem 12.8P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to the triaxial test on the silty clay specimen in Problem 12.6.

**a. **What is the inclination of the failure plane with the major principal plane?

**b. **Determine the normal and shear stress on a plane inclined at 30° with the major principal plane at failure. Also, explain why the specimen did not fail along this plane.

**12.6** Consider the silty clay soil in Problem 12.4. If a consolidated drained triaxial test is conducted on the same soil with a chamber-confining pressure of 105 kN/m^{2}, what would be the deviator stress at failure?

(a)

To determine

Find the inclination of the failure plane with the major principal plane.

Explanation

Given information:

The diameter (*d*) of clay sample particle is

The height (*h*) of the clay sample is

The angle of friction

**Calculation:**

Calculate the area of specimen (*A*) as follows:

Substitute *d* in Equation (1).

Find the normal stress

Here, *N* is the normal force and *A* is the area of specimen.

Substitute *A* and *N* in Equation (2).

Similarly calculate the normal stress

Test no | Normal force, N(N) | Normal stress |

1 | 84 | 26.58 |

2 | 168 | 53.16 |

3 | 254 | 80.38 |

4 | 360 | 113.92 |

Find the shear strength

Here, S is shear force.

Substitute *A* in Equation (3).

(b)

To determine

Find the normal and shear stress on a plane inclined at

Explain why the specimen did not fail along this plane.

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