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A pin-ended column of length L, modulus of elasticity E and second moment of the crosssectional area I is loaded concentrically by a compressive load P. The critical buckling load (Pcr) is given by
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Pcr = EI πL2
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Pcr = π2EI 3L2
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Pcr = πEI L2
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Pcr = π2EI L2
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Correct Option: D
The critical buckling load (Pcr) for a column having length L, modulus of elasticity E and second moment of cross sectional area I is loaded centrically. Condition: Both ends are having pin joint. i.e., hinged
so n = 1
| ∴ Pcr = n | = | ||
| L2 | L2 |
