$(30$ pts$)$ The truss structure in the figure below has $4$ loads applied to it$.$

a$.$ Draw a free body diagram of the bridge. Draw and label all known

forces, unknown forces, and coordinate system.

b$.$ Solve for the reactions at A & G$.$

c$.$ Using Method of Joints and starting at joint A$,$ solve for the forces in

members $AB$ and AG$.$ Specify whether they are in tension or

compression.

d$.$ Continuing with Method of Joints, examine joint $G$ and solve for the

forces in members GB and GF$.$ Specify whether they are in tension or

compression.

e$.$ Now assume you have not solved for $AB,GB$ and GF yet. Section the

bridge through members $AB,$ GB and GF and draw a free body

diagram of the top section labeling all forces and coordinate system.

f$.$ Summing moments about $G,$ solve for $AB,$ and specify whether it is in

tension or compression.

g$.$ Summing moments about B$,$ solve for GF$,$ and specify whether it is in

tension or compression.

h$.$ Knowing $AB$ and GF$,$ solve for GB$,$ and specify whether it is in tension

or compression.