Crippling Load given Moment at Section if One End of Column is Fixed and Other is Hinged Calculator

Crippling Load Formula:

\[ P = \frac{-M_t + H \times (l - x)}{\delta} \]

Moment of Section:

N·m

Horizontal Reaction:

Column Length:

Distance b/w Fixed End and Deflection Point:

Deflection at Section:

Tolerance:

Crippling Load (N):

1. What is Crippling Load?

Definition: Crippling Load is the load over which a column prefers to deform laterally (buckle) rather than compressing itself.

Purpose: This calculator helps determine the critical load at which a column with one fixed end and one hinged end will buckle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{-M_t + H \times (l - x)}{\delta} \]

Where:

\( P \) — Crippling Load (N)
\( M_t \) — Moment of Section (N·m)
\( H \) — Horizontal Reaction (N)
\( l \) — Column Length (m)
\( x \) — Distance between Fixed End and Deflection Point (m)
\( \delta \) — Deflection at Section (m)

3. Importance of Crippling Load Calculation

Details: Calculating the crippling load helps ensure structural stability and prevents buckling failure in columns.

4. Using the Calculator

Tips: Enter all required parameters including moment, reaction forces, dimensions, and deflection. The tolerance field (default ±5%) allows for practical engineering margins.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between crippling load and crushing load?
A: Crushing load is when the material fails in compression, while crippling load is when the column buckles laterally.

Q2: Why is the moment negative in the formula?
A: The negative sign accounts for the moment direction opposing the buckling deformation.

Q3: How does the horizontal reaction affect the result?
A: Horizontal reactions create additional moments that influence the buckling behavior.

Q4: When would I adjust the tolerance?
A: Increase tolerance for less critical applications or when using conservative material properties.

Q5: What if my deflection is zero?
A: Deflection cannot be zero in this calculation as it would lead to division by zero.