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Actual Length of Column given Effective Length if Both Ends of Column are Fixed Calculator

Column Length Formula:

\[ l = 2 \times L_{eff} \]

m
%

1. What is Actual Length of Column given Effective Length?

Definition: This calculator determines the actual physical length of a column when you know its effective length and both ends are fixed.

Purpose: It helps structural engineers and designers properly size columns in construction projects where both ends are fixed.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l = 2 \times L_{eff} \]

Where:

  • \( l \) — Actual length of column (meters)
  • \( L_{eff} \) — Effective length of column (meters)

Explanation: For a column with both ends fixed, the actual length is twice the effective length due to the buckling behavior of fixed-end columns.

3. Importance of Column Length Calculation

Details: Proper column length calculation ensures structural stability, prevents buckling, and meets building code requirements.

4. Using the Calculator

Tips: Enter the effective column length in meters and tolerance percentage (default 5%). The calculator provides the actual length and tolerance range.

5. Frequently Asked Questions (FAQ)

Q1: Why is actual length different from effective length?
A: Effective length accounts for end conditions; fixed ends reduce the effective buckling length compared to the physical length.

Q2: What's the typical tolerance for column length?
A: Standard tolerance is ±5% but may vary based on project specifications.

Q3: Does this formula apply to all end conditions?
A: No, this specific formula is only for columns with both ends fixed. Other end conditions have different relationships.

Q4: How do I determine effective length?
A: Effective length depends on end conditions and can be calculated using buckling analysis or obtained from structural design references.

Q5: What if only one end is fixed?
A: The formula changes. For one fixed end and one pinned end, the relationship is different (typically l = Leff/0.7).

Actual Length of Column given Effective Length if Both Ends of Column are Fixed Calculator© - All Rights Reserved 2025