Hydraulic Cylinder Force & Buckling

Push and pull force, piston speed, cycle time and Euler rod buckling safety factor for double-acting hydraulic cylinders.

Push and pull force

Hydraulic Cylinder Force & Buckling calculations for push and pull force are computed deterministically from published formulas, so the same inputs always produce the same result and the same OAS-XXXX verification hash.

Piston speed and cycle time

Hydraulic Cylinder Force & Buckling calculations for piston speed and cycle time are computed deterministically from published formulas, so the same inputs always produce the same result and the same OAS-XXXX verification hash.

Euler rod buckling safety factor

Hydraulic Cylinder Force & Buckling calculations for euler rod buckling safety factor are computed deterministically from published formulas, so the same inputs always produce the same result and the same OAS-XXXX verification hash.

Engineering summary

Governing parameters for the Hydraulic Cylinder Force & Buckling silo.

Governing parameters and computed results for this calculation
Parameter Value
Bore range 1.5–6 in
Push force model F = P·π·D²/4
Pull force model F = P·π·(D²−d²)/4
Buckling safety factor ≥ 4
End-condition factor K 1.0 · 0.7 · 0.5

Frequently asked questions

How is hydraulic cylinder push force calculated?
Push force is system pressure times the full-bore piston area: F = P·π·D²/4. Pull force uses the annular area instead: F = P·π·(D²−d²)/4, so a cylinder always pulls less than it pushes.
What buckling safety factor does a cylinder rod need?
Target a Euler buckling safety factor of at least 4 for external-pressure service. The critical load is P_cr = π²·E·I/(K·L)², where K depends on the rod end condition: 1.0 pinned-pinned, 0.7 fixed-pinned, 0.5 fixed-fixed.
How do I estimate cylinder cycle time?
Cycle time is the extend time plus the retract time: t = L/v₁ + L/v₂, where v₁ and v₂ are the extend and retract piston speeds from pump flow divided by the respective areas. Retract is faster because the annular area is smaller.