# Questions & Answers of Mohr’s Circle For Plane Stress and Plane Strain

The state of stress at a point on an element is shown in figure (a). The same state of stress is shown in another coordinate system in figure (b).

The components $\style{font-family:'Times New Roman'}{\left(\tau_{xx},\tau_{yy},\tau_{xy}\right)}$ are given by

The state of sttress at a point is given by ${\sigma }_{x}=-6$ MPa, ${\sigma }_{y}=4$ MPa, and ${\tau }_{xy}=-8$ MPa.The maximum tensiile stress (in MPa) at the point is ________

The state of stress at a point under plane stress condition is

and ${\tau }_{xy}=40MPa$

The radius of the Mohr’s circle representing the given state of stress in MPa is

The state of plane-stress at a point is given by σx =−200MPa, σy = 100MPa and $\tau$= 100MPa . The maximum shear stress in MPa is

If the principal stresses in a plane stress problem are ${\sigma }_{1}$ = 100 MPa,${\sigma }_{2}$ = 40 MPa, the magnitude of the maximum shear stress (in MPa) will be

A two dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is 1 unit. Radius of the Mohr’s circle, characterizing the state of stress at the point, is