The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium. Take ϴ = 30°.
Let us first draw the free body diagram of the gusset plate.
We will assume forces going \rightarrow^+ to be positive and \uparrow+ to be positive.
Now, we can write the equations of equilibrium for the x-axis forces.
Solve for T
Next, we will write the equations of equilibrium for the y-axis forces.
We already figured out the value for T. Substitute the value of T and solve for F.