The stresses on two mutually perpendicular planes on a body

are $30$MPa and $15$MPa both tensile along with a shear stress

of $20$MPa. Find $($i$)$ Magnitude and direction of shear stress.

$($ii$)$ Plane of maximum shear stress. $($iii$)$ The normal stress,

shear stress and plane of maximum shear stress. Solve the

problem both analytically and graphically using Mohr's

circle.