Chapter 12, Problem 12.6P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

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?

**12.4** During a subsoil exploration program, undisturbed normally consolidated silty clay samples were collected in Shelby tubes from location *A* as shown in Figure 12.54.

**Figure 12.54**

Following are the results of four drained, direct shear tests conducted on the clay samples with each having a diameter of 63.5 mm and height of 32 mm.

**a. **Determine the drained angle of friction for the silty clay soil.

**b. **Determine the shear strength of the clay in the field at location *A*.

To determine

Find the deviator stress at failure.

Explanation

Given information:

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

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

The confining pressure

**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).

Find the angle of friction

Here,

Substitute

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