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Direct Shear Test

A direct shea...

Question

A direct shear test was conducted on a cohesionless soil (C=0) specimen under a normal stress of 200 $K N / m^{2}$ . The specimen failed at a shear stress of 100 $K N / m^{2}$ . 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,

$σ = 200 k N / m^{2}$

Shear stress,

$τ = 100 K N / m^{2}$

and c = 0

From Coulomb's equation,

$τ = c + t a n ϕ$

$\Rightarrow 100 = 0 + 200 t a n ϕ$

$\Rightarrow ϕ = {26.56}^{\circ}$

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