Linear Actuator Force Calculator
Calculate linear actuator force from pressure, piston area, and mechanical efficiency for hydraulic and pneumatic systems. Use our free Linear Actuator Force
What Is Linear Actuator Force?
Hydraulic and pneumatic linear actuators convert fluid pressure into straight-line mechanical force. The output force depends on piston area, system pressure, and mechanical efficiency losses from seals, friction, and linkage.
Linear Actuator Force Formula
$$F = P \times A \times \eta$$\(F\) is output force, \(P\) is fluid pressure, \(A\) is effective piston area, and \(\eta\) is efficiency as a decimal (for example 90% → 0.90).
Unit Tips
Pressure is often given in bar or PSI. Area may be in cm² or in². Convert consistently: 1 bar = 100,000 Pa and 1 cm² = 10⁻⁴ m². A 100 bar cylinder with 50 cm² area and 90% efficiency produces about 45 kN of force.
Frequently Asked Questions
What efficiency should I use?
Well-maintained hydraulic systems often run 85% to 95%. Pneumatic systems may be lower due to compressibility and leakage. Use manufacturer data when available.
Is piston area the bore area?
For a single-acting rodless piston, yes. For a double-acting cylinder, retraction area is reduced by the rod cross-section.
Can I solve for required pressure?
Yes. Select "Pressure" and enter target force, piston area, and efficiency.
Does this include safety factors?
No. This is ideal force from pressure and area. Apply engineering safety margins separately for design work.
Hydraulic vs pneumatic — same formula?
Yes. Both use \(F = PA\eta\). Hydraulics typically operate at much higher pressures than pneumatics.
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