Q$2$

The structure shown in the figure below is loaded by a uniformly distributed load on member $AB$ and temperature effect on member BCD$,$ find

Vertical reaction in point $A$

Maximum bending moment in member $AB$

If the structure is loaded by temperature effect only, find the strain component in member BCD and curvature in member BCD

If the structure is loaded by both the distributed load and temperature effect, find the vertical displacement at Point E$.$

Use the structural dimensions and section properties listed below

$\backslash$table$[[$Dimensions and section properties,$],[$AB$,5\mathrm{.}2,$unit: m$,],[$BC$,4,$unit: m$,],[$CD$,2\mathrm{.}9,$unit: m$,],[$DE$,2\mathrm{.}2,$unit: m$,],[$t$,0\mathrm{.}2,$unit: m$,],[a_T,0\mathrm{.}00001,$unit: $\frac{1}{}C,],[$EA$,225000,$unit: kN$,],[$EI$,7375,$unit: $kN{m}^2,],[$Applied actions,$],[$w$,12\mathrm{.}5,$unit: $k\frac{N}{m},],[T_2,12\mathrm{.}5,$unit: $C,],[T_1,-9,$unit: $C,]]$