Question $4$:

$[30$ Marks$]$

For the truss shown below, determine $($by using the MATRIX STIFFNESS METHOD$)$

a$)$ The joint displacements,

$[20$ Marks$]$

b$)$ Axial forces in each member, and

c$)$ Support reactions.

$[5$ Marks$]$

$[5$ Marks$]$

Assume that all the members have the same and $($:$A=4000m{m}^2\}.$