$($a$).$ The stresses developed at a point in a machine component are

as follows: ${}_x=-40$MPa,${}_y=30$MPa and ${}_{xy}=50$MPa. Draw:

i$)$ Initial stress element and

ii$)$ Complete Mohr's circle.

iii$)$ Principal stress element and Maximum shear stress

element.

iv$)$ Stress element at an angle of $300$ CW $.$