Euler buckling calculator

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Result

Critical buckling load616.9 kN

Effective length4 m

Step-by-step solution

Effective length

L_e = K·L = 1·4 = 4 m

Euler’s formula

P_cr = π²EI/L_e² = 616.9 kN

Key formulas

Euler load: P_cr = π²EI/(KL)²
Effective length factor: K = 1 pinned–pinned, 0.5 fixed–fixed, 0.7 fixed–pinned, 2 fixed–free
Critical stress: σ_cr = P_cr/A
Slenderness: λ = KL/r, r = √(I/A)

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