2. A cylindrical sample of rock (diameter 40 mm, length 80 mm) was subjected to

Question

2. A cylindrical sample of rock (diameter 40 mm, length 80 mm) was subjected to the uniaxial compression test. The stress-deformation curve obtained is shown in the figure below. 20 MPal Stress Axial deformation0.2 mm a) If the rock is assumed to be elastic up to point A, what is the value of the modulus of elasticity? b) What is the total strain energy in the sample at point A? c) If point A is taken to represent failure of the sample, what is the maximum shear stress in the sample at failure? d) What is the direction of the plane on which the maximum shear stress acts from the axial stress?

Explanation / Answer

a) modules of elasticity is total slope = 120Mpa/0.2mm

b) strain energy= 1/2×stress×deformation

=1/2×120Mpa×0.2mm

c) maximum shear stress is 120Mpa

d)maximum shear stress acts 45 degree to axial stress.

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