Question $2$

a$)$ For the externally redundant pin jointed structure below subject to an external loading of $30$ kN at an angle of $60$ degrees to the horizontal at joint B $,$ find the bar forces for all of the members using the principle of virtual work.

All the bars are made of the same material. The respective cross$-$sectional areas are designed so that $($UAE$)$ is constant for all bars where

$L$ is the length of a bar is $3\mathrm{.}0$ m $,$

A is the cross$-$sectional area of a bar is $140m{m}^2$ and

$E$ is the Young's modulus of a bar is $205k\frac{N}{m}{m}^2.$

In your solution remove support F to form a determinate structure

$[20$ Marks$]$