Question

derive an expression for the stress on an oblique plane for a rectangular body when the body is subjected to a simple shear stress​

Answer 1

Explanation:

Let us consider a plane stress case in which pz, qxz and qyz are zero. Other stresses acting on an element of unit thickness for this condition are shown in Figure 2.3. For simplicity, the complementary shear stress qxy = qyx may be represented as q. Figure 2.3(a) represents a free body diagram of an element that is removed from a body in equilibrium.

Oblique plane

Let us consider a free body diagram of the portion of the element (Figure 2.3(b)). On the arbitrarily chosen oblique plane AE, there will be normal stress pn and shear or tangential stress pt. As the parent element is in equilibrium, ...