#cable

AWG (American Wire Gauge) maths as an API, computed locally and deterministically. The awg endpoint returns the physical properties of a gauge — the diameter, 0.127·92^((36−n)/39) mm, the cross-section area, the DC resistance per kilometre and per 1000 ft for copper or aluminium, and the Preece fusing current (the point at which the wire melts, far above any safe operating ampacity). The fromdiameter endpoint goes the other way, giving the nearest AWG for a measured diameter or cross-section area, n = 36 − 39·log₉₂(d/0.127). The resistance endpoint gives the resistance of a wire run from its gauge, length and material, R = ρ·L/A. Gauges 0/0 (1/0), 00 (2/0) and 000 (3/0) are entered as −1, −2 and −3. Everything is computed locally and deterministically, so it is instant and private. Ideal for electronics, electrical and maker app developers, wiring and cable-selection tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is wire-gauge geometry and resistance; for cable voltage drop over a circuit use a voltage-drop API.

api.oanor.com/wiregauge-api

Catenary (hanging-cable) maths as an API, computed locally and deterministically. The sag endpoint solves the exact catenary for a cable hung between two level supports: from the span, the weight per unit length and either the horizontal tension or the sag, it returns the catenary parameter a = H/w, the sag a·(cosh(L/2a) − 1), the cable length 2a·sinh(L/2a), the minimum tension (the horizontal tension at the lowest point) and the maximum tension at the supports (H·cosh(L/2a)), plus the slack over the straight span. The parabolic endpoint gives the shallow-sag parabolic approximation — sag = w·L²/(8·H) — that is standard for overhead utility lines, and converts between sag and tension either way. The length endpoint returns the cable length for a given span and sag, with the parabolic value alongside for comparison. Forces and lengths are unit-agnostic but must be consistent (for example newtons, newtons per metre and metres). Everything is computed locally and deterministically, so it is instant and private. Ideal for power-line and transmission tools, zip-line and rigging apps, suspension and surveying calculators, and physics and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is hanging-cable catenary maths; for rigging working load limits use a rigging API and for beam deflection use a beam API.

api.oanor.com/catenary-api