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Crippling Stress given Crippling Load Calculator

Crippling Stress Formula:

\[ \sigma_{crippling\ stress} = \frac{P}{A_{sectional}} \]

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1. What is Crippling Stress?

Definition: Crippling Stress is the stress in a column due to crippling load, which is the load over which a column prefers to deform laterally rather than compressing itself.

Purpose: This calculator helps engineers determine the stress level at which a column might buckle or cripple under load.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_{crippling\ stress} = \frac{P}{A_{sectional}} \]

Where:

  • \( \sigma_{crippling\ stress} \) — Crippling stress (Pascal)
  • \( P \) — Column crippling load (Newtons)
  • \( A_{sectional} \) — Column cross-sectional area (m²)

Explanation: The crippling load is divided by the cross-sectional area to determine the stress that could cause buckling.

3. Importance of Crippling Stress Calculation

Details: Proper calculation helps prevent structural failure by ensuring columns are designed to withstand expected loads without buckling.

4. Using the Calculator

Tips: Enter the column crippling load in Newtons, cross-sectional area in square meters, and optional tolerance percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical tolerance percentage for crippling stress?
A: ±5% is common, but this depends on material properties and safety factors.

Q2: How does cross-sectional area affect crippling stress?
A: Larger cross-sectional areas reduce crippling stress for the same load.

Q3: What materials have higher resistance to crippling?
A: Materials with higher modulus of elasticity (like steel) resist crippling better than softer materials.

Q4: How is crippling load different from crushing load?
A: Crippling load causes buckling, while crushing load causes material failure through compression.

Q5: Does column length affect crippling stress?
A: Yes, longer columns are more susceptible to buckling at lower stresses (Euler's formula accounts for this).

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