Q$1(50$ marks$)$

Determine the vertical and the horizontal deflection at the loaded point for the following truss using

the Strain Energy Method and Virtual Work Method respectively. The cross$-$sectional area of all the

members is $350m{m}^2.$ You may take the value of $E$ to be $7k\frac{N}{m}{m}^2$ where E stands for the Modulus of

Elasticity. Note that if $x$ is not equal to $Y,$ the sloping members will not be at $45$ degrees to the

horizontal. Let X $=4$ metres and Y $=2\mathrm{.}6$ metres