   Chapter 12, Problem 12.4P 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

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 12.54Following 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.

(a)

To determine

Find the drained angle of friction for the silty clay soil.

Explanation

Given information:

The diameter (d) of clay sample is 63.5 mm.

The height (h) of the clay sample is 32 mm.

Calculation:

Calculate the area of specimen (A) as follows:

A=πd24

Substitute 63.5 mm for d.

A=π(63.5)24=12,661.264=3,165.32mm2(1m103mm)2=0.00316m2

Find the normal stress (σ) for Test No. 1 using the formula as follows:

σ=NA

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

Substitute 84N for N  and 0.00316m2 for A.

σ=840.00316=26,582.27N/m2(1kN1,000N)=26.58kN/m2

Similarly calculate the normal stress (σ) for remaining Tests as shown in Table 1.

 Test no Normal force, N(N) Normal stress (σ′)(kN/m2) 1 84 26.58 2 168 53.16 3 254 80.38 4 360 113.92

Table 1

Find the shear strength (τf) of the failure for Test No. 1 as follows:

τf=SA

Substitute 28.9N for S and 0.00316m2 for A.

τf=28

(b)

To determine

Find the shear strength of the clay in the field at location A.

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