The state of stress at a point in a component is represented by a Mohr’s circle of radius 100 MPa centered at 200 MPa on the normal stress axis

Q. The state of stress at a point in a component is represented by a Mohr’s circle of radius 100 MPa centered at 200 MPa on the normal stress axis. On a plane passing through the same point, the normal stress is 260 MPa. The magnitude of the shear stress on the same plane at the same point is_______MPa.

Ans: 80

Sol:

(CD)2=(CE)2+(DE)2

(100)2=(60)2+(τs)2

or τs=80 MPa