Question:
The correct order of effective length \((L_e)\) of the column for the following support condition is:
A. Pinned - Pinned
B. Fixed - Free
C. Fixed - Fixed
D. Pinned - Fixed
The correct order of effective length \((L_e)\) of the column for the following support condition is:
A. Pinned - Pinned
B. Fixed - Free
C. Fixed - Fixed
D. Pinned - Fixed
B. Fixed - Free
C. Fixed - Fixed
D. Pinned - Fixed
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Cantilever column has maximum effective length.
Updated On: May 22, 2026
- A > B > C > D
- B > A > D > C
- C > B > A > D
- D > C > A > B
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The Correct Option is B
Solution and Explanation
Concept:
Effective length depends on end conditions:
\[
L_e = K L
\]
Where \(K\) is effective length factor.
Step 1: Recall standard values.
• Fixed-Free: \(K = 2\)
• Pinned-Pinned: \(K = 1\)
• Fixed-Pinned: \(K \approx 0.7\)
• Fixed-Fixed: \(K = 0.5\)
Step 2: Compute relative lengths.
\[ B (2L) > A (L) > D (0.7L) > C (0.5L) \]
Step 3: Arrange in decreasing order.
\[ B > A > D > C \] Final Answer: \[ \boxed{B > A > D > C} \]
Step 1: Recall standard values.
• Fixed-Free: \(K = 2\)
• Pinned-Pinned: \(K = 1\)
• Fixed-Pinned: \(K \approx 0.7\)
• Fixed-Fixed: \(K = 0.5\)
Step 2: Compute relative lengths.
\[ B (2L) > A (L) > D (0.7L) > C (0.5L) \]
Step 3: Arrange in decreasing order.
\[ B > A > D > C \] Final Answer: \[ \boxed{B > A > D > C} \]
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