Help me solve this with hand written notesElastisk lastvirkningsanalyse::

The failure mechanism of the beam in the figure has two plastic hinges: one at the fixed support A$,$ and the other will form somewhere in the span AB$.$ The cross$-$section of the beam has a plastic moment capacity Mp$.$

a$)$ Determine the location of the second plastic hinge using virtual work, and calculate the corresponding collapse load $($expressed in terms of Mp and L$).$

b$)$ Draw the moment diagram in the collapse state.

c$)$ Determine the support forces Az and Bz$.$

d$)$ Compare with the elastic solution:

Determine the maximum load q that the beam can carry if we assume:

$-$ Elastic load analysis and elastic moment capacity.

$-$ Plastic load analysis and plastic moment capacity.

Set L $=4$ meters and yield strength fy $=355$ N$/$mm$^2.$

Use steel profile IPE $240$ with the following properties:

$-$ Wy $=324$ x $10^3$ mm$^3$

$-$ Wpy $=366$ x $10^3$ mm$^3$

The answers should be:

$-$ The collapse load qp $=11\mathrm{.}66$ Mp $/$ L$^2$ when the distance x $=0\mathrm{.}586$L from point A$.$

$-$ The vertical reaction force at support A is Az $=6\mathrm{.}83$ Mp $/$ L$.$

$-$ Capacities: qe $=57\mathrm{.}5$ kN$/$m$,$ qp $=94\mathrm{.}7$ kN$/$m$.$