In a 'statically indeterminate' structure, 'compatibility' equations ensure:
Choose the correct answer
Forces are in equilibrium only
Deformations are geometrically consistent with support conditions and member continuity — no gaps or overlaps
Stresses are below yield
The structure is safe against buckling
Correct Answer
B. Deformations are geometrically consistent with support conditions and member continuity — no gaps or overlaps
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Compatibility (geometric) equations: ensure deformations are consistent — no gaps or overlaps at joints, supports are satisfied (zero displacement where constrained), continuous members remain connected. In force method (flexibility method): redundant forces chosen such that deformations at released points are compatible (closure conditions). Compatibility + equilibrium + constitutive = complete solution.
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