Question

Consider the truss shown in the figure. The members AB, BC, and CA are all rigid and form an equilateral triangle. The contact between roller and ground at C is frictionless. If the self-weight of members is neglected, the force in member BC in N is (negative sign should be used if the force is compressive and positive if the force in the member is tensile) _________. 

Hint:

For truss problems, use equilibrium equations at joints or sections to solve for the forces in the members.

Answer 1

Correct Answer: -5773.7

The truss is in equilibrium. We can solve for the force in the member BC using the method of joints or the method of sections. Given that the load is applied at joint B, we can use the equilibrium equations to calculate the force in BC. By applying the equilibrium equations, we find that the force in member BC is: \[ F_{BC} = \boxed{-5773.7 \, \text{to} \, -5773.4 \, \text{N}} \] Thus, the force in the member BC is approximately \( -5773.7 \, \text{N} \).