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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

Refer to the boring log shown in Figure 17.16. Estimate the average drained friction angle, ϕ , using the Kulhawy and Mayne correlation [Eq. (17.24)]. Assume pa ≈ 100 kN/m2.

images

Figure 17.16

To determine

Find the average drained friction angle ϕ by using Kulhawy and Mayne correlation.

Explanation

Given information:

The saturated (γsat) unit weight is 19.7kN/m3.

Assume the average unit weight (γ) of sand is 16kN/m3.

The atmospheric pressure is (pa) 100kN/m2.

Show the depth and number of blows shown in table:

Depth,(m)N60
16
2.58
411
5.513
714
8.516

Calculation:

Find the effective overburden pressure (σo) at depth of 1m using the relation:

σo=Hγ (1)

Here, H1 is depth of 1m.

Substitute 1m for H1 and 16kN/m3 for (γ) in Equation (1).

σo=1×16=16kN/m2

Find the effective overburden pressure (σo) at depth of 2.5m using the relation:

σo=H1γ+H2(γsatγw) (2)

Here, γw is unit weight of water.

Substitute 1.75m for H1, 19.7kN/m3 for (γsat),9.81kN/m3 for γw, (1.751)m for H2, and 16kN/m3 for (γ) in Equation (2).

σo=1.75×16+(1.751)(19.79.81)=28+7.4175=35.41735.42kN/m2

Find the effective overburden pressure (σo) at depth of 4m using the relation:

σo=H1γ+(H2)(γsatγw) (3)

Substitute 1

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