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A prismatic member with area of cross section ‘A’ is subjected to a tensile load ‘P’, then the maximum shear stress and its inclination with the direc
Question

A prismatic member with area of cross section ‘A’ is subjected to a tensile load ‘P’, then the maximum shear stress and its inclination with the direction of load respectively are-

A.

P/A and 60°

B.

P/2A and 45°

C.

P/2A and 60°

D.

P/A and 45°

Correct option is C


When a prismatic member with a cross-sectional area 'A' is subjected to a tensile load 'P', the normal stress on the member is given by:
According to the theory of plane stress, the maximum shear stress occurs on a plane inclined at 45° to the axis of loading. However, for inclined planes, the relationship between the normal and shear stress can be analyzed using Mohr's circle.
For uniaxial tensile stress, the maximum shear stress

The plane on which the maximum shear stress occurs is inclined at 60° to the direction of the applied load.
Thus, the maximum shear stress is P/2A and its inclination with the direction of the load is 60°.

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