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Crippling load on column by straight line formula given slenderness ratio Calculator

Crippling Load Formula:

\[ P = (\sigma_c - (n \times \lambda)) \times A_{sectional} \]

Pa
m²

1. What is Crippling Load on Column?

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

Purpose: This calculation helps engineers determine the maximum load a column can bear before buckling occurs.

2. How Does the Calculator Work?

The calculator uses the straight line formula:

\[ P = (\sigma_c - (n \times \lambda)) \times A_{sectional} \]

Where:

  • \( P \) — Crippling Load (N)
  • \( \sigma_c \) — Column Compressive Stress (Pa)
  • \( n \) — Straight line formula constant (±5%)
  • \( \lambda \) — Slenderness Ratio (±5%)
  • \( A_{sectional} \) — Column Cross Sectional Area (m²)

Explanation: The formula accounts for material properties and column geometry to predict buckling behavior.

3. Importance of Crippling Load Calculation

Details: Accurate calculation ensures structural safety and prevents catastrophic column failure under load.

4. Using the Calculator

Tips: Enter all required values. Note that the constant and slenderness ratio have ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What affects the straight line formula constant?
A: It depends on the column material properties and end conditions.

Q2: How is slenderness ratio determined?
A: It's the ratio of column length to least radius of gyration of its cross section.

Q3: Why is there a ±5% tolerance?
A: This accounts for material variations and manufacturing tolerances.

Q4: What units should be used?
A: Use consistent SI units: Pascals for stress, meters squared for area.

Q5: Does this consider all failure modes?
A: No, this only calculates buckling load. Other checks (crushing, etc.) are needed.

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