Q$3($Parts A thru D$)(10$ points$)$: Consider the truss shown below and the series of loading.

$($A$)$

$($A$)$ Calculate the force in member $bd$ for case $($A$)$

$(1)$

$($B$)$ Calculate the force in member $bd$ for case $($B$)$

$($C$)$ Calculate the force in member $bd$ using the principle of superposition for the truss loading below. DO NOT use equilibrium equations.