Question

The effective length of a column of length \(L\), held in position and restrained in direction at one end, and the other end effectively restrained in direction but not held in position, is equal to

• A. \(0.67L\)
• B. \(0.85L\)
• C. \(L\)
• D. \(1.2L\)

Hint:

IS 456:2000 - Table 28} outlines standard effective length factors: \item Both ends fixed: \(L_e = 0.65L\) One end fixed, other free: \(L_e = 2L\) One end fixed, other hinged: \(L_e = 0.8L\) One end held in position and direction, other restrained in direction only: \(L_e = 1.2L\)

Answer 1

The Correct Option is D

Effective length of a column depends on the boundary conditions at its ends. According to IS 456:2000 (Table 28),
if: One end is held in position and direction (fixed), and The other end is restrained in direction but not held in position (partially restrained), Then the effective length \(L_e\) of the column is given by: \[ L_e = 1.2L \] This accounts for partial fixity and intermediate restraint, leading to a higher effective length than a fully fixed column.