The maximum direct stress and the shear flow distribution

Question

A thin-walled aluminium I-beam is shown in the figure below. For the shear loads shown, determine:

a) the centroidal moments of inertia I_G, I_n, and I_Gxy,

b) the maximum direct stress;

c) the shear flow distribution near the fixed end; and

d) the deflection (translation and rotation) at the free end.

Assume the 100 N force is applied through the shear centre and that the properties of the aluminium are G = 30 GPa and E = 70 GPa.

Fig: Cross section of thin-walled tube