The term hydraulic ram can refer to a water-powered ram pump or to a hydraulic cylinder. Hiscox’s hydraulic-ram entries describe a pump with a drive pipe, valves and an air chamber. The separate calculator below covers cylinder pressure-area force; it does not simulate a ram pump or establish equipment capacity.
Hydraulic Ram Interactive Calculator
Explore ideal static pressure-area force and unit conversions for a circular full-bore piston.
Equation Used
- Uniform pressure over the full circular cap-end area, with no opposing chamber pressure included.
- Static incompressible-fluid comparison with no acceleration or pressure transient.
- No rod-side area, backpressure, seal friction, leakage or line loss.
- No cylinder wall, ram/rod, end-cap, mounts, frame, buckling, stability, hydraulics, controls or applicable-code model.
All force outputs represent the same ideal gross value in different units. Real available and allowable force depend on opposing pressure, friction, losses, structure, stability and verified component ratings.
Ideal pressure-area relation
Uniform differential pressure P over circular full-bore area A=pi D²/4 produces ideal gross force F=PA. The force tiles are unit conversions of that same result.
The animation is a static schematic and does not represent motion or a particular product.
Use as a unit and first-principles check
The calculator can verify area and ideal force arithmetic. It cannot select, rate or approve a ram, cylinder, jack or lifting arrangement.
Gross full-bore force
Pressure in bar converts with 1 bar=100,000 Pa. Bore converts from millimetres to metres before calculating area. Newtons are converted to kN, tonne-force and lbf without implying capacity.
Worked force-conversion example
At 210 bar and 100 mm bore, full-bore area is 78.54 cm² and ideal gross force is about 164.93 kN, 16.82 tonne-force or 37,079 lbf.
Scope and limitations
Real engineering requires cylinder and pressure ratings, wall/end closure and rod strength, buckling and side load, seals and leakage, opposing pressure and line losses, mounts and reaction structure, load centre and stability, speed and dynamic loads, pump/valves/relief, load holding, guarding, inspection and applicable regulations.
Questions
Is tonne-force a safe load?
No. It is only a unit conversion of ideal gross force.
Does this calculate retraction force?
No. Rod diameter and rod-side pressure are absent.
Does it include friction?
No. All mechanical and hydraulic losses are excluded.
Historical name and calculation basis
Hiscox, entries 551–552, describes hydraulic ram pumps with a drive-water pipe, valves and an air chamber. That pump mechanism is distinct from the full-bore cylinder force calculation here.
The calculator uses area A = πD²/4 and force F = PA. One bar is 100,000 Pa; one tonne-force is 9,806.65 N. Changing force units does not establish a cylinder’s capacity, and these equations do not determine a ram pump’s delivery rate or cycle.
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