Question

The Mohr's circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear stress theory for yielding. Then, yielding will just begin if the designer chooses a ductile material whose yield strength is

• A. 45 MPa
• B. 50 MPa
• C. 90 MPa
• D. 100 MPa

Answer 1

The correct option is D 100 MPa

As per maximum shear stress theory,
$\left({\tau }_{\text{max}}\right)\text{absolute}\le {\left(\frac{S_{yt}}{2}\right)}_{\Pi }$
and when ${\sigma }_{1}and{\sigma }_2$ are like in nature
${\sigma }_1\le S_{yt}$
$S_{yt}=100MPa$