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Euler
Buckling
Calculator
Calculate critical buckling load for extended hydraulic cylinder rods using Euler column theory.
Input Parameters
Rod Diameter (in)
Stroke (Extended) (in)
Mount Factor (K)
Fixed-Fixed (K=0.25)
Pinned-Pinned (K=1)
Fixed-Free (K=2)
Fixed-Pinned (K=0.5)
Elastic Modulus (psi)
Calculate
Results
--
Critical Load
lbs
--
Moment of Inertia
in⁴
--
Slenderness Ratio
--
Safe Load (SF=3)
lbs
Note:
Use safety factor of 3-4 for buckling. Fixed-free (K=2) is most conservative — common for single-clevis mounts.
Reference
I = π × d⁴ / 64 P_cr = π² × E × I / (K×L)² Slenderness Ratio = K×L / (d/4) Safe Load = P_cr / Safety Factor K: 0.25 (fixed-fixed), 0.5 (fixed-pinned), 1 (pinned-pinned), 2 (fixed-free)