Question

If both ends of a column are fixed, then the effective length of the column is

• A. its own length
• B. twice its own length
• C. half of its own length
• D. thrice of its own length

Hint:

Effective length depends on end boundary conditions.

Answer 1

The Correct Option is C

The effective length of a column is associated with the way it is supported at its ends. In structural engineering, the boundary conditions at the supports significantly influence the column's effective length. The effective length is a critical parameter in determining the column's buckling load, and it varies depending on whether the column ends are fixed, pinned, free, or a combination.

For a column where both ends are fixed, the effective length is shorter than the actual length of the column. This is because fixed supports prevent rotation and translation, making the column more stable and resistant to buckling. The formula for effective length (Le) when both ends are fixed is:

Le = L/2

where L is the actual length of the column. Essentially, the effective length becomes half of its actual physical length.

Therefore, when both ends of a column are fixed, the effective length of the column is half of its own length.