This calculator shows ideal static pressure and displacement ratios for two rigidly linked piston areas. It does not predict the delivered pressure, flow or safety of a real hydraulic intensifier.
Pressure intensification and linear motion
An intensifier supplies pressurized fluid. An electric linear actuator supplies mechanical motion and force, so it is not a direct substitute for an intensifier’s hydraulic output.
If an application instead needs a load moved through a defined stroke, compare that motion separately using force, speed, travel, duty cycle, mounting space and environment. FIRGELLI electric linear actuators and the replacement finder address that separate motion-selection task; this pressure-ratio calculator does not select an electric actuator.
Hydraulic Intensifier Interactive Calculator
Explore ideal force continuity and volume continuity for a large primary piston linked to a smaller secondary plunger.
Equation Used
- Rigid linkage transmits equal axial force between effective areas A1 and A2.
- Uniform pressures and ideal displacement continuity with equal linked stroke speed.
- No opposing pressure, return pressure, friction, seal drag, leakage, valve loss or cycling dead volume.
- No material strength, pressure rating, fatigue, fluid compatibility, contamination, thermal, plumbing, relief, guarding or applicable-code model.
The output-flow percentage is an ideal displacement ratio for equal linked stroke rate, not available system flow. Real results depend on friction, seals, valves, leakage, cycling and pressure losses.
Ideal linked-area model
A large primary piston of area A1 is rigidly linked to a smaller secondary plunger of area A2. In a lossless static balance, P1A1=P2A2, so P2/P1=A1/A2.
For equal linked displacement, volume ratio is reciprocal: V2/V1=A2/A1. The animation is qualitative and does not model valves or a complete cycle.
Use as an ideal ratio check
The identities can check area-ratio arithmetic and the reciprocal pressure/displacement tradeoff. They cannot select an intensifier, establish reachable pressure, or determine cycle flow.
Pressure and displacement reciprocity
Let r=A1/A2. Ideal force continuity gives P2=rP1, while ideal volume continuity for the same stroke gives Q2/Q1=1/r when the displayed quantities are interpreted as linked displacement rates.
The pressure-rise tile is only P2-P1=P1(r-1); it is not a measured differential across a real component.
Worked area-ratio example
For P1=250 bar and r=16, ideal secondary pressure is 4,000 bar, ideal pressure ratio is 16, ideal displacement-flow fraction is 6.25%, and arithmetic pressure rise is 3,750 bar. These values are mathematical ideals, not component ratings.
Scope and limitations
Real performance requires effective areas, primary and return pressures, seal and bearing friction, leakage, valve cracking and pressure loss, switching sequence, stroke and dead volume, inlet supply and refill, fluid compressibility, temperature, contamination control and measured efficiency. Design also requires verified pressure ratings, materials, fatigue, tubing and fittings, relief and isolation, guarding and applicable pressure-system rules.
Questions
Will a 16:1 intensifier always reach sixteen times supply pressure?
No. That is the lossless static ratio; losses, load and component limits reduce or cap real pressure.
Is the flow tile continuous delivered flow?
No. It is only the reciprocal ideal displacement ratio. Cycling, refill and valve timing are absent.
Can this approve very high pressure?
No. It contains no strength, pressure-rating or system-safety calculation.
Calculation basis
For two ideal rigidly linked pistons, equal axial force gives P1A1 = P2A2. Equal stroke produces displaced volumes V1 = A1x and V2 = A2x. Thus the ideal pressure ratio is the area ratio, and the displacement ratio is its reciprocal.
This calculation omits return pressure, friction, leakage and refill time. It establishes neither a component pressure rating nor continuous delivered flow. Entered pressure and ratio ranges are mathematical examples, not equipment recommendations.
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