Task $1($Linear systems $-$ Truss Analysis$)-15$ Points

Consider the truss below. Members AB and BC are assumed to be in tension, and members BD

and BE are in compression.

Members $AB,BC,BD,$ and BE represent the truss members.

Supports at points A and C are pin joints.

Support at point E is a roller joint.

A downward force of $10$ kN is applied at joint $B$

From the truss above, form a system of linear equations. Hint: Use equilibrium

equations for all the joints.

Write the equations in matrix form $)=(B$

Given alpha $(),$ solve the linear equations and find the forces in each truss member.

Write your answers in terms of alpha and $L$ of each member $($e$.$g$.L_{AB}).$