Strength of Materials

2.3 STRESSES ON AN OBLIQUE PLANE

Let us consider a plane stress case in which p_z, q_xz and q_yz 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 q_xy = q_yx 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.

 

 

Fig. 2.3 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 p_n and shear or tangential stress p_t. As the parent element is in equilibrium, ...