ENGINEERING TOOL

Hydraulic Cylinder Force Calculator

Calculate extension and retraction forces with rod diameter, backpressure and efficiency.

Hydraulic Cylinder Force Calculator

FREE ONLINE TOOL
Cylinder cross-section
D = 80 mmd = 40 mmPistonRod

Schematic only, not to scale. Move the piston to explore the two chambers. Calculations use full stroke.

Extension force

45,238.9342 N

Retraction force

33,929.2007 N

Piston area

5,026.5482 mm²

Annular area

3,769.9112 mm²

Formula and assumptions

A = πD²/4; Ar = π(D² − d²)/4; Fext = (pA − pbAr)η; Fret = (pAr − pbA)η

Net extension = supply pressure × piston area − return pressure × annular area. Retraction swaps the areas. Efficiency represents mechanical losses. Static estimate; excludes buckling, mounting, inertia and seal breakaway.

Technical reference: Parker — Hydraulic cylinder formulas

STEP BY STEP

How to use hydraulic cylinder force calculator

  1. Check the input units and assumptions.
  2. Review the result and example.

IN PRACTICE

Example

D = 80 mm; d = 40 mm; p = 100 bar; η = 90%; pb = 0.

GOOD TO KNOW

Which model does this calculator use?

Net extension = supply pressure × piston area − return pressure × annular area. Retraction swaps the areas. Efficiency represents mechanical losses. Static estimate; excludes buckling, mounting, inertia and seal breakaway.