Civil Engineering MCQJE Level Civil Engineering

The 'consistent deformation' (compatibility) method for redundant beams removes redundants and applies:

Strength of MaterialsStrength of MaterialsMEDIUM

Choose the correct answer

A

Prescribing displacement at all nodes

B

Unit redundant forces and compatibility equations: δ_load + Σfij×Xj = 0 → solve for redundants

C

Replacing structure with equivalent plates

D

Using finite elements only

Correct Answer

B. Unit redundant forces and compatibility equations: δ_load + Σfij×Xj = 0 → solve for redundants

Why is this the answer?

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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