Actual Length of Column given Effective Length if One End is Fixed Other is Free Calculator

Formula Used:

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

Actual Column Length (m):

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

Definition: This calculator determines the actual length of a column when one end is fixed and the other is free, based on its effective length.

Purpose: It helps structural engineers and designers verify column dimensions considering end conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: For a column with one end fixed and other free, the effective length is twice the actual length.

3. Importance of Column Length Calculation

Details: Proper column length determination is crucial for structural stability, buckling analysis, and load-bearing capacity calculations.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is effective length different from actual length?
A: Effective length accounts for end conditions that affect the column's buckling behavior.

Q2: What's the significance of the tolerance value?
A: Tolerance accounts for construction variations and material imperfections.

Q3: Does this formula apply to all end conditions?
A: No, this specific formula is only for one end fixed and other free condition.

Q4: How does this relate to buckling load?
A: Buckling load is inversely proportional to the square of effective length.

Q5: What units should I use?
A: The calculator uses meters for length, but consistent units can be used as long as they match.