#mechanical

Matemática de transmissão de potência por corrente de rolos como uma API, computada local e deterministicamente. O endpoint de relação calcula a relação de velocidade de uma transmissão por corrente (dentes movidos ÷ dentes motrizes), a rpm de saída e o multiplicador de torque, a velocidade linear da corrente v = N·p·rpm/60 e o diâmetro primitivo de cada roda dentada, PD = p/sen(π/N), a partir do número de dentes da roda motriz e movida, da velocidade de entrada e do passo da corrente. O endpoint de comprimento calcula o comprimento da corrente em passos e o arredonda para um número par de elos — os elos devem vir em pares — usando L = 2C/p + (N1+N2)/2 + ((N2−N1)/2π)²·p/C a partir do número de dentes, da distância entre centros e do passo. O endpoint de distância entre centros inverte essa relação para fornecer a distância exata entre centros para um número par de elos escolhido, C = (p/8)·[(2L−N1−N2) + √((2L−N1−N2)² − 8·((N2−N1)/2π)²)]. Os números de dentes são inteiros, o passo e a distância entre centros em metros (o passo padrão 0,0127 m é ANSI 40, ½ polegada) e as velocidades em rpm. Tudo é computado local e deterministicamente, portanto é instantâneo e privado. Ideal para desenvolvedores de aplicativos mecânicos, de projeto de máquinas, transportadores, motocicletas e equipamentos industriais, ferramentas de dimensionamento de rodas dentadas e seleção de correntes, e educação em engenharia. Cálculo puramente local — sem chave, sem serviço de terceiros, instantâneo. Ao vivo, nada armazenado. 3 endpoints. Isto é para transmissões por corrente de rolos industriais; para engrenagens de bicicleta, use uma API de engrenagens de bicicleta e para relações de correia ou engrenagem, use uma API de relação de engrenagens.

api.oanor.com/chain-api

Thin-walled pressure-vessel engineering maths as an API, computed locally and deterministically. The thin-wall endpoint computes the wall stresses in a cylindrical or spherical vessel under internal pressure: for a cylinder the hoop (circumferential) stress σ_h = p·r/t and the longitudinal stress σ_l = p·r/(2t), which is half the hoop — so cylinders tend to split along their length — together with the von Mises equivalent stress, and for a sphere the single biaxial stress σ = p·r/(2t); it also reports the radius-to-thickness ratio and whether the thin-wall assumption (r/t ≳ 10) holds. The thickness endpoint computes the wall thickness required to keep the hoop stress within an allowable value, t = p·r/(σ_allow·E), with a weld-joint efficiency factor. The burst endpoint computes the theoretical burst pressure of a pipe from Barlow's formula, p = 2·S·t/OD, using the ultimate tensile strength. Pressures and stresses are in pascals (megapascals also returned) and dimensions in metres. Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical, chemical-plant, piping, boiler and tank-design app developers, ASME-style sizing and safety tools, and engineering education; for code work consult the applicable standards. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is thin-walled vessel stress; for general stress transformation use a Mohr-circle API and for fatigue a fatigue API.

api.oanor.com/pressurevessel-api

Mechanical-fatigue engineering maths as an API, computed locally and deterministically. The stress-cycle endpoint decomposes a cyclic load given by its maximum and minimum stress into the alternating stress σa = (σmax − σmin)/2, the mean stress σm = (σmax + σmin)/2, the stress range and the stress ratio R = σmin/σmax, and names the loading (fully reversed at R = −1, repeated at R = 0). The criteria endpoint computes the infinite-life safety factor against fatigue using the three classic mean-stress theories — Goodman (1/n = σa/Se + σm/Sut, standard and safe), Soderberg (uses the yield strength, conservative) and Gerber (a parabola, least conservative) — from the alternating and mean stress, the endurance limit Se, the ultimate strength Sut and an optional yield strength. The endurance-limit endpoint estimates the corrected endurance limit Se = ka·kb·kc·kd·ke·Se' from the ultimate strength, with Se' = 0.5·Sut for steel and the Marin modifying factors for surface finish, size, load type, temperature and reliability. Stresses and strengths use any one consistent unit (MPa is typical). Everything is computed locally and deterministically, so it is instant and private. Ideal for mechanical, structural, automotive and aerospace-design app developers, durability and safety-factor tools, and engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is fatigue and endurance; for static stress transformation use a Mohr-circle API and for column buckling a buckling API.

api.oanor.com/fatigue-api

Rotational and shaft-power maths as an API, computed locally and deterministically. The power endpoint relates mechanical power, torque and rotational speed — give any two of the power, the torque in newton-metres and the speed in rpm and it returns the third using P = T·ω with ω = 2πN/60, reporting the angular velocity and the power in watts, kilowatts, mechanical horsepower and metric horsepower (PS). The angular endpoint converts a rotational speed freely between rpm, radians per second, degrees per second and hertz (revolutions per second), and — given a radius — the tangential speed and centripetal acceleration at the rim. The units endpoint converts power across watts, kilowatts, mechanical horsepower (745.7 W), metric horsepower or PS (735.5 W), foot-pounds per second and BTU per hour. Everything is computed locally and deterministically, so it is instant and private. Ideal for automotive, motor, drivetrain, robotics and machinery app developers, engine and gearbox tools, and mechanical-engineering education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is mechanical shaft power; for bolt tightening torque use a torque API and for electrical power factor a power-factor API.

api.oanor.com/shaftpower-api

Matemáticas de transmisión por correa y poleas como una API, calculadas local y determinísticamente. El endpoint de correa calcula la longitud de una correa trapezoidal abierta o correa plana a partir de los dos diámetros de polea y la distancia entre centros con L = 2C + (π/2)(D1+D2) + (D1−D2)²/(4C), y devuelve la longitud de la correa más el ángulo de contacto en cada polea; si se proporciona una rpm del conductor, también da la velocidad superficial de la correa. El endpoint de relación calcula la relación de velocidad de un par de poleas (diámetro conducido ÷ diámetro conductor, ya que N1·D1 = N2·D2): proporcione una rpm del conductor o del conducido y devuelve la otra, la relación de par y la velocidad de la correa. El endpoint de centros invierte la ecuación de longitud para encontrar la distancia entre centros para una longitud de correa objetivo, resolviendo la ecuación numéricamente. Los diámetros y distancias aceptan milímetros, centímetros, metros, pulgadas o pies, y las longitudes se informan en varias unidades. Todo se calcula local y determinísticamente, por lo que es instantáneo y privado. Ideal para herramientas de diseño de máquinas y trenes de transmisión, aplicaciones de mantenimiento y MRO, proyectos de fabricación y CNC, y calculadoras de ingeniería mecánica. Cálculo local puro — sin clave, sin servicio de terceros, instantáneo. En vivo, nada almacenado. 3 endpoints. Esta es transmisión de potencia por correa y polea; para relaciones de engranajes de bicicleta y desarrollo use una API de engranajes de bicicleta y para torque de apriete de pernos use una API de torque.

api.oanor.com/beltdrive-api

Bolt and fastener torque maths as an API, using the standard short-form relation T = K · D · F — torque equals the nut factor times the bolt diameter times the clamp load (preload). The torque endpoint computes the tightening torque, in newton-metres, foot-pounds, inch-pounds and kilogram-force metres, from the bolt diameter, the target clamp load and a nut factor — given directly or chosen from a condition preset (dry, lubricated, zinc-plated, galvanized, waxed and more). The preload endpoint solves the inverse: the clamp load a given torque produces on a bolt of a given diameter and friction. The convert endpoint converts a torque value between newton-metres, foot-pounds, inch-pounds and kilogram-force metres. Everything is computed locally and deterministically, so it is instant and private. The K·D·F short form is an estimate that depends heavily on friction — it is engineering guidance only, so always follow the manufacturer's torque specification. Ideal for mechanical, automotive and aerospace tools, maker and assembly apps, maintenance and field-service software, and engineering calculators. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is fastener torque; for wire gauge and resistance use a wire-gauge API and for Ohm's law use an electronics API.

api.oanor.com/torque-api