Using the stiffness method

must find the axial forces within members, reactions at the support and the displacements of joints of the

truss. The truss is $75mm75mm5mm$ 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. Explain the inclusion of force at node E in 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$)$