The prismatic beam with the asymmetric section shown below is subjected to a linearly

varying transverse load pz $=$ po $[1-($x$/$L$)],$ which passes through its shear center. The wall

thickness t is assumed to be small in comparison to the other dimensions.

a$)$ Find the centroid of this cross$-$section.

b$)$ Find the principal axes y$$ and z$$ of the cross$-$section.

c$)$ Calculate $($in terms of given loads and geometric dimensions$)$ the shear flow due to bending at section

x $=0$ and plot the results.

d$)$ Find the maximum shear stress tauxs$$and maximum normal stress tauxx$$in the beam.