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Buckling Load Calculator for Column

Column Buckling Load Calculation

Buckling Load: --

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Example Scenarios

Example 1: Short Steel Column

Given:

Length (L): 2 m
Modulus of Elasticity (E): 200 GPa
Moment of Inertia (I): 0.0001 m⁴
Effective Length Factor (K): 1

Calculation:

Buckling Load (P_cr) = π² * 200 GPa * 0.0001 m⁴ / (1 * 2 m)² = 49.35 kN

Example 2: Long Aluminum Column

Given:

Length (L): 5 m
Modulus of Elasticity (E): 70 GPa
Moment of Inertia (I): 0.00005 m⁴
Effective Length Factor (K): 2

Calculation:

Buckling Load (P_cr) = π² * 70 GPa * 0.00005 m⁴ / (2 * 5 m)² = 4.32 kN

Example 3: Concrete Column

Given:

Length (L): 3 m
Modulus of Elasticity (E): 30 GPa
Moment of Inertia (I): 0.0002 m⁴
Effective Length Factor (K): 0.7

Calculation:

Buckling Load (P_cr) = π² * 30 GPa * 0.0002 m⁴ / (0.7 * 3 m)² = 89.92 kN

Example 4: Wooden Column

Given:

Length (L): 1.5 m
Modulus of Elasticity (E): 10 GPa
Moment of Inertia (I): 0.0003 m⁴
Effective Length Factor (K): 1.5

Calculation:

Buckling Load (P_cr) = π² * 10 GPa * 0.0003 m⁴ / (1.5 * 1.5 m)² = 87.91 kN

Example 5: Composite Column

Given:

Length (L): 4 m
Modulus of Elasticity (E): 120 GPa
Moment of Inertia (I): 0.00015 m⁴
Effective Length Factor (K): 1.2

Calculation:

Buckling Load (P_cr) = π² * 120 GPa * 0.00015 m⁴ / (1.2 * 4 m)² = 116.47 kN

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