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Solve Example 2.1 by Mohr’s circle method.

In Fig. 2.12, diameter OA represents the state of stress in x — y plane. Draw a circle through OA. Perpendicular diameter BC represents plane of maximum shear stress. Draw DC at 2\theta = 120° to OA. Point D represents the stress on the plane inclined at 60° to the vertical plane.

Resultant stress, \sigma _r = OD = 35 MPa

Inclination of \theta _r \text{w.r.t. its normal} = \angle DOC = 60°