Question $2(35$ marks$)$

In the slab shown in Figure $2\mathrm{.}0,$ Area $1$ carries an ultimate load of intensity $\backslash (12\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash )$ while Area $2$ carries an ultimate load of intensity $\backslash (8\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash ).$ Using analysis of virtual work, determine the value of the moment parameter $\backslash ($ m $\backslash )$ assuming the yield line pattern shown.

$(35$ marks$)$

Figure $2\mathrm{.}0$