#fluid-power

Hydraulic-cylinder engineering maths as an API, computed locally and deterministically — the force, speed and oil-volume numbers a fluid-power designer, machine builder or hydraulics technician sizes a cylinder with. The force endpoint gives the push and pull from the bore, rod diameter and working pressure: extending, the oil acts on the full bore area, so the cylinder is strongest pushing out; retracting, it acts only on the annulus left by the rod, giving less force — a 100 mm bore with a 56 mm rod at 160 bar pushes about 125.7 kN out but pulls only 86.3 kN back, which is why a press or an excavator does its hard work on the extend stroke. The speed endpoint gives the piston speed from the pump flow (speed = flow ÷ area), so extending is the slower stroke and retracting the faster, the trade-off every circuit designer balances against force. The volume endpoint gives the swept oil volume per stroke for extend and retract, the rod displacement and the bore-to-annulus area ratio — the differential (regeneration) ratio used to speed the extend stroke in a regen circuit — so the pump, tank and lines can be sized for the larger volume. Everything is computed locally and deterministically, so it is instant and private. Ideal for fluid-power and machine-design tools, hydraulics-sizing calculators, mobile- and industrial-equipment utilities, and engineering apps. Pure local computation — no key, no third-party service, instant. Ideal-area estimates — allow for friction, back-pressure and efficiency. 3 compute endpoints. For Pascal force-multiplication use a hydraulics API; for valve sizing a valve-flow (Cv/Kv) API.

api.oanor.com/hydrauliccylinder-api

Pascal's-principle hydraulics as an API, computed locally and deterministically. The press endpoint computes the force multiplication of a hydraulic press, jack or master/slave cylinder: a pressure P = F/A acts equally throughout a connected fluid, so a small input force on a small piston becomes a large output force on a large piston, F2 = F1·A2/A1, with the mechanical advantage A2/A1 — areas given directly or as piston diameters, and the pressure in pascals, bar and psi. The stroke endpoint applies volume conservation, A1·d1 = A2·d2: the big piston moves less the more force it gains, and the work F·d is the same on both sides. The cylinder endpoint gives the push and pull force of a hydraulic cylinder at a pressure, F = P·A on the bore side and F = P·(A_bore − A_rod) on the rod (annulus) side. Everything is computed locally and deterministically, so it is instant and private. Ideal for hydraulics and fluid-power engineering tools, press, jack and lift design, brake and machine apps, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is Pascal-principle force multiplication; for pressure at depth and force on a submerged wall use a hydrostatics API and for pump power use a pump API.

api.oanor.com/hydraulic-api