1. What is Fixed End Moment?

Definition: Fixed end moments are reaction moments developed in a beam member under certain load conditions with both ends fixed.

Purpose: This calculation is essential in structural engineering to determine the moments at the fixed ends of columns or beams.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( M_{Fixed} \) — Fixed end moment (N·m)
• \( M_t \) — Moment of section (N·m)
• \( P \) — Column crippling load (N)
• \( \delta \) — Deflection at section (m)

Explanation: The fixed end moment is calculated by adding the moment of section to the product of column crippling load and deflection.

3. Importance of Fixed End Moment Calculation

Details: Accurate calculation ensures structural integrity by accounting for both the direct moment and the additional moment caused by column deflection under load.

4. Using the Calculator

Tips:

• Enter the moment of section in N·m
• Enter column crippling load in N
• Enter deflection at section in meters
• Specify tolerance percentage (default ±5%)
• All values must be ≥ 0

5. Frequently Asked Questions (FAQ)

Q1: What is column crippling load?
A: It's the load over which a column prefers to deform laterally rather than compressing itself.

Q2: Why include tolerance in the calculation?
A: Tolerance accounts for material variations, construction tolerances, and safety factors in real-world applications.

Q3: What's a typical tolerance percentage?
A: ±5% is common, but this may vary based on project requirements and safety factors.

Q4: How is deflection at section measured?
A: Deflection can be calculated using structural analysis methods or measured experimentally.

Q5: Does this formula apply to all column types?
A: This formula specifically applies to columns with both ends fixed. Different end conditions require different formulas.

Moment of Fixed Ends Calculator© - All Rights Reserved 2025