   Chapter 12, Problem 12.6P 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

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/m2, 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 12.54Following 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.

To determine

Find the deviator stress at failure.

Explanation

Given information:

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

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

The confining pressure σ3 is 105kN/m2.

Calculation:

Calculate the area of specimen (A) as follows:

A=πd24 (1)

Substitute 63.5mm for d in Equation (1).

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 (2)

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

Substitute 0.00316m2 for A and 84N for N in Equation (2).

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

Similarly calculate the normal stress (σ) of 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

Find the shear strength (τf) of the failure as follows:

τf=SA (3)

Here, S is shear force.

Substitute 28.9N for shear force and 0.00316m2 for A in Equation (3).

τf=28.90.00316=9,145.5N/m2(1kN1,000N)=9.14kN/m2

Find the angle of friction (ϕ) as shown below:

ϕ=tan1(τfσ) (4)

Here, σ is the normal stress.

Substitute 26.58kN/m2 for σ and 9.14kN/m2 for τf in Equation (4)

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