Civil Engineering MCQJE Level Civil Engineering

The 'effective length factor' k for a column in a multi-storey unbraced frame is typically:

Steel StructuresSteel StructuresHARD

Choose the correct answer

A

k < 1.0 (safer than pinned-pinned)

B

k > 1.0 — sway permitted means effective length exceeds column height (determined from nomograph based on joint stiffness)

C

k = 1.0 always

D

k = 0.5 (same as fixed-fixed braced)

Correct Answer

B. k > 1.0 — sway permitted means effective length exceeds column height (determined from nomograph based on joint stiffness)

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Unbraced (sway) frames: k > 1.0 always (because column deflects in S-shape or C-shape). From nomographs (IS 800 Fig. 27-b): k depends on GA and GB (relative stiffness of beams to columns at top and bottom joints). For pinned base + fixed top: k = 2.0. For fixed both: k = 1.2 minimum. Unbraced = lateral sway permitted → more critical than braced (k < 1.0).

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