Crippling load on column by straight-line formula Calculator

Crippling Load Formula:

\[ P = (\sigma_c - (n \times (\frac{L_{eff}}{r_{least}}))) \times A_{sectional} \]

Column Compressive Stress:

Straight line formula constant:

Effective Column Length:

Least Radius of Gyration:

Column Cross Sectional Area:

m²

Crippling Load (N):

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: It helps structural 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:

\[ P = (\sigma_c - (n \times (\frac{L_{eff}}{r_{least}}))) \times A_{sectional} \]

Where:

\( P \) — Crippling Load (N)
\( \sigma_c \) — Column Compressive Stress (Pa)
\( n \) — Straight line formula constant (±5%)
\( L_{eff} \) — Effective Column Length (m)
\( r_{least} \) — Least Radius of Gyration (m)
\( A_{sectional} \) — Column Cross Sectional Area (m²)

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

3. Importance of Crippling Load Calculation

Details: Accurate calculation ensures structural safety by preventing column buckling under expected loads.

4. Using the Calculator

Tips: Enter all required parameters with correct units. The straight line constant typically has ±5% variation.

5. Frequently Asked Questions (FAQ)

Q1: What is the straight line formula constant?
A: It's a material-dependent constant that accounts for column imperfections, typically ranging from 1 to 4 with ±5% variation.

Q2: How is effective length determined?
A: It depends on end conditions - pinned-pinned (1.0L), fixed-fixed (0.5L), fixed-pinned (0.7L), fixed-free (2.0L).

Q3: What affects radius of gyration?
A: It's determined by cross-sectional shape and dimensions (I/A)^0.5, where I is moment of inertia and A is area.

Q4: When does this formula apply?
A: For intermediate columns where slenderness ratio (L/r) is between 30 and 120.

Q5: What safety factors should be applied?
A: Typical safety factors range from 1.5 to 3.0 depending on application and building codes.