Question

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.

• A. 80

Answer 1

The correct option is A 80
In $\Delta CDE$,

$(CD{)}^2=(CE{)}^2+(DE{)}^2$

$(100{)}^2=(60{)}^2+({\tau }_s{)}^2$

or ${\tau }_s=80MPa$