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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

For the soil profile given in Problem 17.3, estimate the average soil friction angle, ϕ , using the Kulhawy and Mayne correlation [Eq. (17.24)]. Assume pa ≈ 100 kN/m2.

17.3 The following are the results of a standard penetration test in sand. Determine the corrected standard penetration numbers, (N1)60, at the various depths given. Note that the water table was not found during the boring operation. Assume that the average unit weight of sand is 18.7 kN/m3. Use Liao and Whitman’s relationship [Eq. (17.10)]. Assume pa ≈ 100 kN/m2.

images

To determine

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

Explanation

Given information:

Show the depth and number of blows shown in table:

Depth,(m)N60
110
2.512
414
5.515
717

Assume the average unit weight (γ) of sand is 18.7kN/m3.

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

Calculation:

Calculate the overburden pressure (σo) at depth 1m using the relation:

(σo)=γ×depth (1)

Substitute 1m for depth and 18.7kN/m3 for (γ) in Equation (1).

(σo)=18.7×1=18.7kN/m2

Find the average soil friction angle ϕ at depth 1m by using Kulhawy and Mayne correlation.

ϕ=tan1[N6012.2+20.3(σopa)]0.34 (2)

Here, (σo) is overburden pressure.

Substitute 10 for N60, 18.7kN/m2 for σo, and 100kN/m2 for pa in Equation (2).

ϕ=tan1[1012.2+20.3(18.7100)]0.34=tan1[1015.99]0.34=tan10.852=40.4°

Calculate the overburden pressure (σo) at depth 2

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