You have been assigned to construct the angled $(90$oat point D$)$ ABDE beam. This beam should rest on a joint at E located in the middle of the cross$-$section at E and on a rod BC which rests at one end on a joint at B and at the other end also on a joint C as shown in Figure $1.$ The angled beam ABDE shall be loaded in its vertical plane of symmetry: a$)$ by a uniformly distributed downwardly directed load of $9,8$ kN$/$m starting at point B and ending at point D$,$ b$)$ by a concentrated horizontal to the right load of $4,5$ kN applied to the centre of gravity of the cross$-$section at point A$,$ and c$)$

a concentrated right$-$handed bending moment of $197$ kNm exerted at point D$.$ The ABDE beam is to be constructed with a double$-$tau cross$-$section as shown in Figure $2($for length AD$)$ with the dimensions in Figure $2$ being in centimetres.

Calculate the maximum normal and maximum shear stress in all the necessary cross sections to be made along the longitudinal axis from end A to end D and compare it with the allowable corresponding stresses : a$)$ the allowable stress in tension which is $120$ MPa, b$)$ the allowable stress in compression which is $80$ MPa and c$)$ the allowable

its permissible shear stress which is $45$ Mpa