Question

At a point in a stressed body, the principal stresses are 100 MN/m2
(tensile) and 60 MN/m2
(compressive). Determine the normal stress and
the shear stress on a plane inclined at 50degree
counter clockwise to the axis
of minor principal stress. Also, calculate the maximum shear stress at the
point and draw the Mohr’s stress circle to verify the answers.
If the yield strength and Poisson’s ratio of the material in the above case
is 240 MPa and 0.3 respectively, check whether the failure will occur or
not according to (a) Maximum principal strain theory and (b) Maximum
shear strain energy per unit volume theory. If failure does not occur,
calculate the Factor of Safety.

Answer 1