The square pin$-$jointed framework below is loaded by a point force of $1$ kN at D $.$ Given that the crosssectional areas of the members are:

$AB=BD=DC=CA={?}^{\text{'}}{A}^{\text{'}}$

$BC={?}^{\text{'}}2A^{\text{'}}$

$AD={?}^{\text{'}}1\mathrm{.}5A^{\text{'}}$

And that all have the same Young's modulus, E$.$

$($i$)$ Calculate the forced in the members.

$[$ANS: $AB=DC=CA=395,BD=-605,CB=-559,AD=855]$

$($ii$)$ Calculate the deflection of node C in co$-$ordinate $2.$

$[$ANS: $=\frac{405}{A}E$

$($iii$)$ Calculate the deflection of node B in co$-$ordinate $3.$

$[$ANS: $=\frac{119}{A}$E