Assignment $1$

The member shown is supported by two bearings $($simple supports$)$ at O and D $($note: take O as a pin support and $D$ as a roller support$).$ The dimensions are $OC=60cm,CD=40cm,BC=50cm,$ and $AB=30cm.$ Two$-$equal torques are acting near $O$ and $D,$ in addition to the forces at A and $B$ as shown.

a$)$ Draw the axial force, torque, shear force and bending moment diagrams for OCD and find the most critical point.

b$)$ Determine the stress state at the most critical point

c$)$ Determine the principal stresses and the maximum shear stresses at the most critical point

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