Consider the truss below. Members $AB$ and $BC$ are assumed to be in teasion, 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 $10kN$ is applied at joint $B$

From the truss above, form a system of linear equations. Hint Use equilibrium equations for all the jounts

points$)$

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

$(5$ points$)$

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$.$as$).$

$(5$ points$)$