Correct Answer - Option 4 : Disclose the problem to client and try to negotiate a way to reinforce the columns.
The correct answer is Disclose the problem to client and try to negotiate a way to reinforce the columns.
Concept:
Euler buckling load for a column is given by,
\({{\rm{P}}_{\rm{E}}}{\rm{\;}} = {\rm{\;}}\frac{{{{\rm{\pi }}^2}{\rm{EI}}}}{{{\rm{L}}_{\rm{e}}^2}}\)
Where, Le is the effective length of the column that depends on the end support conditions, and EI is the flexural rigidity of the column.
Now, effective length (Le) for different end conditions in terms of actual length (L) are listed in the following table:
Support Conditions
|
Effective length (Le)
|
Both ends hinged/pinned
|
Le = L
|
One end hinged other end fixed
|
Le = L/√2
|
Both ends fixed
|
Le = L/2
|
One end fixed and the other end free
|
Le = 2L
|