   Chapter 12, Problem 12.5P 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

Refer to Figure 12.54. Shear strength parameters are needed for the design of a foundation placed at a depth of 2 m in the silty sand layer. Soils collected from this sand were compacted in the direct shear mold (diameter = 63.5 mm) at the same dry unit weight as the field and subjected to four direct shear tests. Results are as follows: a. Determine the shear strength parameter ϕ ′ for the soil.b. Determine the shear strength at the bottom of the silty sand layer. Figure 12.54

(a)

To determine

Find the shear strength parameter (ϕ) for the soil.

Explanation

Given information:

The diameter (d) of shear mold is 63.5 mm.

The depth of silty sand layer is 2 m.

Calculation:

Calculate the area of specimen (A) as follows:

A=πd24

Substitute 63.5mm 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 200N for N and 0.00316m2 for A.

σ=2000.00316=63,291N/m2(1kN1,000N)=63.29kN/m2

Find the shear strength (τf) of the failure for Test No.2 as follows:

τf=SA

Substitute 105N for S and 0.00316m2 for A.

τf=1050.00316=33,227.848N/m2(1kN1,000N)=33.227kN/m2

Find the angle of friction (ϕ) for Test No

(b)

To determine

Find the shear strength at the bottom of the silty sand layer.

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