Using the stiffness method, determine the axial forces within members, reactions at the support and the

displacements of joints of the truss shown in the Figure $1.$ The truss was built using $75mm75mm5mm$ steel

SHS with $E=200$GPa

$($a$)$ Show local stiffness matrices for each member, the assembled global stiffness matrix, global force matrix and

global displacement matrix. Show your step$-$by$-$step solution. Explain the inclusion of force at node Ein your

analysis and the reaction force at node E support.

$($b$)$ Use an appropriate method to solve the matrix if necessary $($e$.$g$.$ inverse matrices$).$ and tabulate the results.

$($Axial forces within members, the displacements of joints of the truss and reactions at the supports$)$