Question $3$

You are required to analyse the structure shown in Figure $3$ under the loads given. Given $E=200$GPa,$A=0\mathrm{.}002m^2$ and $P=$ the last $2$ digits of your matrix number $($Example: for matrix number $201234,$ P $=34$ kN; for matrix number $201204,$ P $=4$ kN$).$

a$)$ Analyse and determine the vertical displacement at point B$.$ Assume the cross$-$sectional area as constant.

b$)$ Members $AB$ and $BE$ will be subjected to equal temperature increment. Calculate the limiting temperature that the members could experience so that the vertical displacement at point $B$ does not exceed $20$ percent of the displacement due to load. The coefficient of thermal expansion for steel, $,$ is $11\mathrm{.}710-\frac{6}{}C.$

Figure $3$