The equivalent length of the column when one end is fixed and the
| The equivalent length of the column when one end is fixed and the other is free is _________.
A. l
B. l/2
C. l/4
D. 2l
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
Concept:
Effective length is defined as the distance between two adjacent points of zero bending moment or contra flexure.
The value of the effective length varies according to the support condition.
|
End condition |
Both ends hinged |
One end fixed other free |
Both ends fixed |
One end fixed and other hinged |
|
Effective length |
L |
2L |
L/2 |
L/√2 |
According to Euler's column theory, the crippling load for a column of length L,
\({P_{cr}}= \;\frac{{{\pi ^2}EI}}{{{{\left( {L_e} \right)}^2}}}\)
Where Leq is the effective length of the column.