How It Works
Euler's Critical Load
Determines maximum compressive load before a cylinder rod buckles:
P_cr = pi^2 × E × I / (K × L)^2
- E = Modulus of elasticity (30,000,000 psi for steel)
- I = Moment of inertia = pi × d^4 / 64
- K = End fixity factor
- L = Stroke length (inches)
End Fixity Factors
- K=2.0 - Free end (trunnion/free rod)
- K=1.0 - Pinned-Pinned (clevis both ends)
- K=0.707 - Fixed-Pinned (flange/clevis)
- K=0.5 - Fixed-Fixed (flange/rigid rod)
Minimum recommended safety factor: 3.5:1
Rod Buckling Calculator
Check cylinder rod against Euler buckling for push loads. Determines critical load and safety factor.
Buckling Status
PASS
Safety factor is adequate.
Buckling Results
Critical Load (P_cr)--
Applied Load--
Safety Factor--
Moment of Inertia--
Effective Length (KL)--
Slenderness Ratio--
Min Rod for SF 3.5--
Mounting Reference
| Mounting | K | Eff. Length | Stability |
|---|---|---|---|
| Fixed-Fixed | 0.5 | 0.5L | Best |
| Fixed-Pinned | 0.707 | 0.707L | Good |
| Pinned-Pinned | 1.0 | 1.0L | Fair |
| Free End | 2.0 | 2.0L | Worst |