How to find max shear stress at a given point?

Question

The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa, σxy = 100 MPa The Maximum shear stress (in MPa) is: A) 111.8
B) 150.1
C) 180.3
D) 223.6
Explain Procedure also with Answer.

Answer 1

Plane stress in x- direction, σx = -200 MPa

Plane stress in y- direction, σy = 100 MPa

Shear stress,σxy = 100 MPa

Find the maximum shear stress by using the following formula:

Option (C) is correct.