You have been assigned to construct the angled $(90$o at points C and E$)$ beam ABCDEF. This beam should rest on a joint at point B and on a rod FG which is connected at both ends to the ABCDEF beam at end F and to a joint in a vertical wall at end G$,$ as shown in the figure below. The angled beam ABCDEF shall be loaded in the vertical plane of symmetry

by: a$)$ two uniformly distributed loads: one $5,5$ kN$/$m

from point C to a distance of $1\mathrm{.}6$ m$,$ and the other $3$ kN$/$m from point A to point B$,$ b$)$ by two vertically downward concentrated loads of $6\mathrm{.}8$ kN at point A and $4\mathrm{.}8$ kN at point B$,$ and c$)$ by a concentrated horizontal load of $7\mathrm{.}5$ kN at point D$.$ This beam is to be constructed with one of the cross$-$sections shown at the bottom of figure A where the dimensions are in centimetres. Assuming that the hinge at B is applied exactly at the centre of gravity of the beam cross$-$section at point B$,$ calculate the maximum normal and maximum shear stress that

developed in all the necessary cross$-$sections that can be made to compare with: a$)$ the allowable tensile stress equal to $190$ MPa, b$)$ the allowable compressive stress equal to $120$ MPa and c$)$ the allowable shear stress equal to $108$ MPa. Do not consider principal stresses.