Project ForgeStrength of Materials
Bending of Beams
GATE 2021
Medium
A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ___ N (round off to the nearest integer).
816 N(± 20 accepted)
Explanation
Fixed-free: Le=2L, Pcr=π²EI/(2L)². Fixed-pinned: Le=0.7L, Pcr=π²EI/(0.7L)². Ratio = (2/0.7)² = 8.163. New Pcr = 100×8.163 ≈ 816 N.
Source: GATE ME 2021 Session 2 (ME-2) (2021)
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