GATE ME 2018 Set 2 — Question 15
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Strength of Materials → Beams & Columns → Euler's Theory of Columns
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Question
The minimum axial compressive load, , required to initiate buckling for a pinned-pinned slender column with bending stiffness and length is
Correct answer
(B) P = (π² EI)/(L²)
Solution
For a pinned-pinned column, the effective length is equal to the actual length ().
The Euler buckling load is given by the formula:
Substituting :
The Euler buckling load is given by the formula:
Substituting :
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