The 'consistent deformation' (compatibility) method for redundant beams removes redundants and applies:
Choose the correct answer
Prescribing displacement at all nodes
Unit redundant forces and compatibility equations: δ_load + Σfij×Xj = 0 → solve for redundants
Replacing structure with equivalent plates
Using finite elements only
Correct Answer
B. Unit redundant forces and compatibility equations: δ_load + Σfij×Xj = 0 → solve for redundants
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Force method (flexibility/compatibility): (1) Remove redundants to get released (statically determinate) structure; (2) Find displacements at released points due to external loads (free body terms); (3) Apply unit values of redundants and find influence coefficients (flexibility coefficients fij); (4) Write compatibility equations: δ_released + Σ(fij × Xj) = 0; (5) Solve for redundants X. Then all internal forces by superposition.
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