Crippling Load given Moment of Section if Both Ends of Column are Fixed Calculator

Crippling Load Formula:

\[ P = \frac{M_{Fixed} - M_t}{\delta} \]

Fixed End Moment:

N·m

Moment of Section:

N·m

Deflection at Section:

Tolerance:

Crippling Load (N):

Load Range (N):

1. What is Crippling Load given Moment of Section?

Definition: This calculator determines the crippling load on a column when both ends are fixed, based on the fixed end moment, moment of section, and deflection.

Purpose: It helps structural engineers determine the critical load at which a column will buckle when both ends are fixed.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{M_{Fixed} - M_t}{\delta} \]

Where:

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

Explanation: The difference between fixed end moment and section moment is divided by the deflection to determine the crippling load.

3. Importance of Crippling Load Calculation

Details: Accurate calculation ensures structural stability and prevents column failure under compressive loads.

4. Using the Calculator

Tips: Enter the fixed end moment, moment of section, deflection, and tolerance percentage (default ±5%). Deflection must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the tolerance percentage for?
A: It provides a range (± value) to account for material variations and safety factors.

Q2: What if my deflection is zero?
A: Deflection cannot be zero as it would lead to division by zero. Enter a small positive value.

Q3: How do I determine the fixed end moment?
A: Fixed end moments can be calculated using structural analysis methods for fixed-fixed beams.

Q4: What units should I use?
A: Use consistent SI units: Newtons (N) for force, meters (m) for length, and Newton-meters (N·m) for moments.

Q5: Does this apply to all column materials?
A: The formula is material-agnostic but assumes linear elastic behavior up to buckling.