Determine the force in each member of the truss and state whether it is in tension or co...

External reactions:

From the equilibrium equations

Sum of forces in the direction is zero i.e.

Sum of forces in the direction is zero i.e.

…… (1)

Sum of moments about is zero i.e.

Substituting the value in equation (1), yields

From the free body diagram of joint A:

Sum of forces in the direction is zero

…… (2)

Sum of forces in the direction is zero

Substituting the value in equation (2), yields

From the free body diagram of joint D:

Sum of forces in the direction is zero

Sum of forces in the direction is zero

Sum of forces in the direction is zero

Therefore the axial forces in the members

Sum of forces in the direction is zero

….. (1)

Sum of forces in the direction is zero

…… (2)

By solving equation (1) and (2), we get and

Therefore the axial forces in the members