For a member acted upon by three forces only, with the member in equilibrium and the forces not all parallel, what must be true?
Correct answer: B. The three forces are concurrent
- A. The three forces are equal
- B. The three forces are concurrent
- C. The three forces are perpendicular
- D. The three forces have equal moments
Explanation
Taking moments about the intersection of any two force lines shows that the third force line must pass through the same point. This is the three-force member condition and is useful in analysing link members.
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Structural analysis determines how beams, frames, trusses and arches carry loads through reactions, shear forces, bending moments, axial forces and deflections. It covers free-body diagrams, equilibrium equations, determinacy, influence lines and methods such as slope deflection, moment distribution and virtual work, while distinguishing analysis of a structure from its design.
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