#pascal

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