Effective length of a column effectively held in position and restrai...
The given condition is “Effective length of a column effectively held in position and restrained in direction at one but neither held in position nor restrained in direction at the other end.
This implies one end fixed, another end free.
IeFF = 2L
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Effective length of a column effectively held in position and restrai...
The effective length of a column refers to the length at which it behaves as if it is effectively held in position and restrained in direction at one end, but neither held in position nor restrained in direction at the other end. This concept is important in structural engineering as it helps determine the buckling behavior of columns.
The effective length factor (K) is used to calculate the effective length of a column. It is a dimensionless factor that depends on the end conditions of the column. For the given scenario, where the column is effectively held in position and restrained in direction at one end and neither held in position nor restrained in direction at the other end, the effective length factor is equal to 2.
The effective length (Le) of the column can be calculated by multiplying the actual length of the column (L) by the effective length factor (K):
Le = K * L
In this case, since the effective length factor (K) is 2, the effective length (Le) will be 2 times the actual length of the column (L), which is given as option 'D' - 2L.
This means that the column will behave as if it is effectively held in position and restrained in direction at both ends, resulting in a more stable and rigid structural behavior. The effective length factor takes into account the stiffness and boundary conditions of the column ends, allowing engineers to accurately analyze and design columns for different loading and support conditions.
In conclusion, for a column that is effectively held in position and restrained in direction at one end, but neither held in position nor restrained in direction at the other end, the effective length is equal to 2 times the actual length of the column.
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