Column A has both its ends fixed, and column B has one end fixed and the other end free. The ratio of the buckling load of column A to that of column B is: 

This question was previously asked in
HPCL Engineer Mechanical 04 Nov 2022 Official Paper (Shift 2)
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  1. 1
  2. 16
  3. 0.5
  4. 2

Answer (Detailed Solution Below)

Option 2 : 16
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Detailed Solution

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Concept:

End Condition

Both end hinged

One end fixed other free

Both end fixed

One end fixed and other hinged

Effective length (Le)

L

2L

1/2


Crippling load:

Calculation:

Both end fixed for the column A,

Le = L/2

One end fixed and the other end free column B,

Le = 2L

2 - both ends fixed: Le1 = L/2

P1: P2 = 16 : 1

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