Hydraulics · Preliminary sizing

Hydraulic cylinder sizing calculator

Calculate theoretical cylinder bore, an indicative rod diameter and required flow from force, pressure, stroke and target time.

Created v1.0

By Thibaut Grzelak, Mechanical Analysis Engineer

Hydraulic sizing
01Sizing inputsD = √[4F/(πPη)]
DdFLcap endrod end
The selected mode imposes minimum force at the cap end or rod end.
02

Theoretical results

Indicative rod diameter d
—mm

— in

Available extension force
—kN

— lbf

Available retraction force
—kN

— lbf

Required extension flow
—L/min

— US gpm

Required retraction flow
—L/min

— US gpm

Numerical substitution—

Theoretical values: next choose a larger standard bore and verify rod buckling.

Static preliminary sizing. Back pressure, detailed friction, rod buckling, cushioning, pressure peaks and standard bore series are not checked.

01Calculation method

From force requirement to flow rate

  1. Calculate required active area with A = F/(Pη).
  2. Derive D, including d/D for a rod-end calculation.
  3. Calculate volumes A·L and then flows Q = V/t.
  4. Select larger standard diameters and repeat the checks.
02Sizing limitations
  • Rod buckling must be checked from free length and end conditions.
  • Actual force depends on back pressure and friction.
  • Pump flow must cover peaks and the complete duty cycle.
  • Calculated diameters are not a manufacturer bore series.

Hydraulic preliminary sizing

Size a hydraulic cylinder: force, bore, flow and speed

Pressure and force determine required area. Area sets bore, then flow determines speed and stroke time.

Cap-end bore

Minimum bore depends on required force, available pressure and efficiency.

D = √[4F / (πPη)]

Rod-end area

During retraction, the rod reduces active area.

Aa = π(D² − d²) / 4

Complete calculation

The dedicated calculator connects force, bore, rod, stroke, time and flow.