The beam cross section shown below is subjected to an upward vertical force of $3000$ N acting at its shear centre. $($Wall thickness is uniform at $3$ mm and height and width dimensions are with respect to the median lines of the section$)$

a$)$ Determine and plot the resulting flexural shear flow in the two flanges and the web.

b$)$ Determine the location of the shear centre of the beam.

c$)$ Determine the location and magnitude of the maximum shear stress in the cross section