At a point in a strained material, a direct tensile stress of 60 N/mm^2 along x-direction and compressive stress of 40 N/mm^2 along Y direction are applied on a plane right angle to each other. If maximum principal stress is limited to 75 N/mm^2. Find the shear stress that may be allowed on the plane. Also, find minimum principal stress and maximum shear stress.

Data:

Direct Stress:

$P_x = 60 \ N/mm^2 $ (tensile)

$P_y = -40 \ N/mm^2$ (compressive)

Maximum principal stress $P_1 = 75 \ N/mm^2$

To Find:

[1] Shear stress ($\zeta$)

[2] Minimum principal stress $(P_2)$

[3] Maximum shear stress $(\zeta _{max})$

A] The sum of the normal stresses on two …