The state of stresses on an element is shown in the given figure. The value of stresses are ${\sigma }_x(=32MPa);{\sigma }_y(=-10MPa)$ and major principal stress ${\sigma }_1(=40MPa)$. The minor principal stress ${\sigma }_2$ is

Q. On the element shown in the given figure, the stresses are:
${\sigma }_x=110MPa$

${\sigma }_y=30MPa$

${\tau }_{xy}={\tau }_{yx}=30MPa$

${\sigma }_1,{\sigma }_2$

The radius of Mohr's circle and the principal stresses ${\tau }_1,{\tau }_2$ are (in MPa)

Q. For a state of plane stress ${\sigma }_1={\sigma }_x=40MPaand{\sigma }_2={\sigma }_{y}MPa$. What are the values of the maximum in-plane shearing stress and absolute maximum shearing stress?

Q. 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

Q. For a plane stress condition, the major principal stress is 140 MPa and minor principal stress is $\sigma$. The shear stress on a plane inclined at ${45}^{\circ }$ to the principal plane is 60 MPa, the value of $\sigma$ (in MPa, correct upto nearest integer )is_____.

Q. For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.




The shear stress $\tau$ is