For a stable, plane, pin-jointed truss, which relation indicates static determinacy?
Correct answer: A. m + r = 2j
- A. m + r = 2j
- B. m + r = 3j
- C. m + 2r = 2j
- D. 2m + r = 3j
Explanation
For a stable plane truss, the number of member forces and support reactions equals the available joint equilibrium equations when m + r = 2j. Here, m is the number of members, r is the number of reactions, and j is the number of joints.
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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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