#rigging

Pulley and block-and-tackle mechanics as an API, computed locally and deterministically. The advantage endpoint computes the mechanical advantage of a pulley system — the ideal MA equals the number of rope parts supporting the load, which is also the velocity ratio — and returns the effort needed to hold or raise a load, effort = load/(n·efficiency), the length of rope that must be pulled (n times the lift height) and the work in and out. The friction endpoint models a real block and tackle where every sheave loses a little tension: the mechanical advantage becomes MA = e·(1−eⁿ)/(1−e) for a per-sheave efficiency e (≈0.96 for a plain bearing, ≈0.98 for a ball bearing), so it returns the true MA, the overall efficiency and the extra effort friction costs you. The solve endpoint takes any two of the load, the effort and the number of rope parts and returns the third — for example, how many parts you need so a given person can raise a given load, or the heaviest load a winch can lift. Everything is computed locally and deterministically, so it is instant and private. Ideal for rigging, lifting and hoist-design tools, sailing, climbing and theatre-rigging apps, crane and winch sizing, and physics education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is pulley and block-and-tackle mechanics; for lever and moment balance use a lever API and for rope-around-a-drum capstan friction use a capstan API.

api.oanor.com/pulley-api

Matemáticas de fricción de cabrestante y correa (la ecuación de Euler-Eytelwein) como una API, calculada local y determinísticamente. El endpoint de cabrestante aplica T1/T2 = e^(μ·β) — la relación entre la tensión del lado tenso y el lado flojo de una cuerda o correa enrollada alrededor de un tambor depende solo del coeficiente de fricción y el ángulo de envoltura, no del diámetro del tambor — y resuelve para cualquiera de las dos tensiones, la fricción o el ángulo de envoltura que omitas, con el ángulo de envoltura dado en grados, radianes o vueltas completas. El endpoint de sujeción muestra el efecto cabrestante: cómo una fuerza pequeña sostiene o mueve una carga grande, fuerza de sujeción = Carga·e^(−μβ) y fuerza de tracción = Carga·e^(+μβ) — unas pocas vueltas de cuerda alrededor de una bita permiten que una persona sostenga un barco. El endpoint de correa dimensiona una transmisión por correa: a partir de la tensión máxima del lado tenso, la fricción y el ángulo de envoltura, proporciona la tensión del lado flojo, la tensión efectiva (neta) T1 − T2 que impulsa la carga y, con la velocidad de la correa, la potencia máxima transmisible antes de que la correa deslice. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de ingeniería mecánica y marina, diseño de transmisiones por correa, cabrestantes, polipastos y frenos de banda, aplicaciones de escalada y aparejos, y educación en física. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esto es fricción de correa y cuerda; para longitud de correa, ángulo de envoltura y relación de velocidad, usa una API de transmisión por correa.

api.oanor.com/capstan-api

Rigging and lifting load maths as an API, computed locally and deterministically. The wll endpoint relates the working load limit to the minimum breaking strength through the safety (design) factor: give a breaking strength and it returns the working load limit (WLL = MBS ÷ safety factor), or give a working load limit and it returns the minimum breaking strength your hardware must be rated for (MBS = WLL × safety factor). The safety factor can be given directly or looked up by component — general rigging and wire rope 5, chain sling 4, shackle 6, personnel/man-rated 10. The sling endpoint computes the tension in each leg of a multi-leg sling as the lifting angle changes: because the legs pull at an angle, each carries more than its share, with a load factor of 1/sin(angle to horizontal) — 1.0 vertical, 1.15 at 60°, 1.41 at 45° and 2.0 at 30° — and it accepts the angle from horizontal, from vertical or the included angle between legs. The safety endpoint lists the typical design factors. Loads are given in kilograms, pounds, tonnes, kilonewtons or newtons and reported in all of them. Everything is computed locally and deterministically, so it is instant and private. A planning aid, not a substitute for a qualified rigger or the governing standard (ASME B30, EN, local code). Ideal for crane and lifting apps, construction and warehouse tools, theatrical and entertainment rigging, and towing and recovery calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is rigging load maths; for the weight of the steel being lifted use a metal-weight API.

api.oanor.com/rigging-api