For the component illustrated below dimensions are in mm $.$

a$.$ Determine the precise location of the critical stress element at A$.$ Specify the angle as measured from

the positive $y-$axis.

b$.$ Sketch the critical stress element showing the normal and shear stresses on the element. Neglect the

VQ$/$It shear stress.

c$.$ Sketch the Mohr's circle for the critical stress element. Label the three principal stresses on the Mohr's

circle and calculate the maximum shear stress.

$[$Answers: $127\mathrm{.}9,75\mathrm{.}62$MPa T$,24\mathrm{.}52$ MPa shear, principals $82\mathrm{.}87$ MPa, $-7\mathrm{.}25$ MPa $,$ max shear $45\mathrm{.}06$ MPa $]$