Problem #$1-$ Force Method in Trusses $[35$ points$]$

Given: The internally indeterminate truss is supported by pin supports at A and a roller at $B.$ A $250$ kN vertical load is applied at $D$ and a $300$ kN horizontal load is applied at $C.$ The force in each truss member due to the primary loading is provided in the second diagram, where $($T$)$ indicates the member is in tension and $(C)$ indicates the member is in compression. This primary load configuration is established by assuming the member $BD$ is redundant. All member have identical sections with $A=1800m{m}^2$ and $E=200$GPa.

Required: Use the force method to compute all support reactions and actual member forces indicating whether the member is in compression or tension.

$$ Member forces due to primary load