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Unconfined Compression Test

When an uncon...

Question

When an unconfined compression test is conducted on a cylinder of soil, it fails under axial stress of $1.2 k g / c m^{2}$ . The failure plane makes an angle of $50^{\circ}$ with the horizontal. Determine the cohesion of the soil
0.503

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Solution

The correct option is A 0.503
Given

$σ_{1} = 1.2 k g / c m^{2}$

$45 + \frac{ϕ}{2} = 50^{\circ}$

$ϕ = 10^{\circ}$

Angle of internal friction = $10^{\circ}$

We know that,

$σ_{1} = σ_{3} t a n^{2} (45 + \frac{ϕ}{2}) + 2 c t a n (45 + \frac{ϕ}{2})$

In UCS test,
$σ_{3} = 0$

$σ_{1} = 2 c t a n (45 + \frac{ϕ}{2})$

$1.2 = 2 c t a n 50^{\circ}$

$c = 0.503 k g / c m^{2}$

$C o h e s i o n = 0.503 k g / c m^{2}$

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