#cylinder

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

Tank-gauging geometry as an API, computed locally and deterministically. The horizontal-cylinder endpoint computes the liquid volume in a partially-filled horizontal cylindrical tank from the fill height, the radius (or diameter) and the length, V = L·[r²·acos((r−h)/r) − (r−h)·√(2rh−h²)] — the non-linear relationship that makes a horizontal tank read so unintuitively, e.g. a tank filled to a quarter of its diameter holds only about 20 % of its capacity, while half height is exactly half full. The vertical-cylinder endpoint gives the straightforward V = π·r²·h for an upright tank. The sphere endpoint computes the volume in a spherical tank filled to a height h as the spherical cap V = π·h²·(3r−h)/3, exactly half the sphere at h = r. Every response returns the liquid volume in cubic metres and litres, the full capacity, and the fill percentage. All lengths are in metres. Everything is computed locally and deterministically, so it is instant and private. Ideal for industrial, fuel-station, agriculture, water-utility, chemical-storage and process app developers, tank-gauging, dipstick-to-volume and inventory tools, and IoT level sensors. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is tank volume by geometry; for flow rate through a pipe use a flow-rate API.

api.oanor.com/tankvolume-api