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Question

A direct shear test was conducted on a cohesionless soil (C=0) specimen under a normal stress of 200KN/m2. The specimen failed at a shear stress of 100 KN/m2. The angle of internal friction of the soil (degree) is

A
26.6
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B
29.5
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C
30.0
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D
32.6
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Solution

The correct option is A 26.6
At failure, Normal stress,

σ=200kN/m2

Shear stress,

τ=100KN/m2

and c = 0

From Coulomb's equation,

τ=c+tanϕ

100=0+200tanϕ

ϕ=26.56

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