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