Belt and chain drives
Belt length, wrap angle, pulley speed and tension ratio, plus chain length, center distance, sprocket pitch diameter and chain speed for power-transmission drives.
Enter the known geometry or speed, solve for the missing quantity, then check the result against the driver and driven sprocket or pulley limits.
Calculators in this category
Narrow V-Belt Drive to DIN 7753-2
Design a two-pulley narrow V-belt drive to DIN 7753-2: speed ratio, standard datum length and centre distance, take-up allowances, wrap angle, correction factors c1/c2/c3, number of belts, belt speed, flex frequency and shaft load – with the ISO 4183 minimum pulley diameters.
Open calculator →Synchronous Belt Rating and Centre Distance to ISO 5295
Rate a trapezoidal synchronous (timing) belt to ISO 5295 from the manufacturer's allowable tension and linear mass: belt speed, basic and width-corrected power rating, teeth in mesh with factor kz, width factor kw, and the exact centre distance from the number of belt teeth via the involute function.
Open calculator →Moment of Inertia and Acceleration Torque
Calculate the moment of inertia of a rotating or linearly moving mass, refer it to the motor shaft through the gear ratio, and derive the acceleration torque, peak power, stored energy and run-up revolutions.
Open calculator →Belt Drive Ratio Calculator
Calculate the ratio of a belt drive from the pulley pitch diameters.
Open calculator →Multi-Stage Gear Ratio Calculator
Calculate the overall ratio of a two- or three-stage gear train from the individual stage ratios.
Open calculator →Belt Length Calculator with Center Distance
Calculate the required belt length from center distance and pulley diameters, or the center distance for an existing belt.
Open calculator →Belt wrap angle at the small pulley
Calculate the belt wrap angle θ at the small pulley of an open belt drive from the large and small pulley diameter and the centre distance: θ = π − 2·arcsin((D−d)/(2C)). Any of the four quantities can be the target, for example the centre distance needed for a required wrap angle.
Open calculator →Pulley Speed Calculator
Calculate output speed, input speed or a required pulley diameter of a belt drive directly from the pulley diameters.
Open calculator →Belt Drive Power Calculator
Calculate the mechanical power transmitted by a belt drive from tension difference and belt speed.
Open calculator →Belt Tension Ratio & Capstan Equation Calculator
Solve F₁/F₂ = e^(µ·θ) for tight-side tension, slack-side tension, belt friction coefficient or wrap angle at the point of impending slip – the capstan (Euler–Eytelwein) equation.
Open calculator →Chain Length Calculator for Roller Chain Drives
Calculate the required roller chain length from center distance, pitch and sprocket tooth counts, or the center distance for an existing chain.
Open calculator →Sprocket Pitch Diameter Calculator
Calculate the pitch diameter of a sprocket from chain pitch and tooth count, or the tooth count for a target pitch diameter.
Open calculator →Rack and Pinion Torque Calculator
Calculate the required pinion and motor torque of a rack-and-pinion drive from feed force, pitch diameter and efficiency.
Open calculator →Chain Speed Calculator
Calculate the linear speed of a roller chain from chain pitch, driving sprocket tooth count and speed.
Open calculator →Belt Effective Tension Calculator
Calculate the effective pull of a belt drive from tight-side and slack-side tension, or solve for a missing span tension.
Open calculator →Crossed Belt Length Calculator
Calculate the effective belt length of a crossed two-pulley belt drive from center distance and pitch diameters.
Open calculator →Belt Centrifugal Tension Calculator
Calculate the centrifugal tension in a running belt from mass, corresponding belt length and belt speed.
Open calculator →Belt Shaft Load Calculator
Calculate the resultant pulley, shaft and bearing load from both belt span tensions and their included angle.
Open calculator →Belt Slip Calculator
Calculate belt-drive output speed with a given total slip, or derive the slip from measured shaft speeds.
Open calculator →Belt Flex Frequency Calculator
Calculate belt flex cycles per second from belt speed, pitch length and number of pulleys passed per revolution.
Open calculator →Timing Belt Pulley Pitch Diameter Calculator
Calculate the pitch diameter of a timing-belt pulley from tooth pitch and tooth count.
Open calculator →Timing Belt Teeth in Mesh Calculator
Calculate the geometric number of pulley teeth engaged by a timing belt from tooth count and wrap angle.
Open calculator →Chain Link Count Calculator
Calculate the whole number of roller chain links for a desired center distance and the actual center distance after rounding.
Open calculator →Chain Pull Calculator from Power and Speed
Calculate the useful tangential chain pull from transmitted power and mean chain speed.
Open calculator →Chain Polygon Effect Calculator
Calculate the chain speed variation caused by the polygon (chordal) action of the sprocket from tooth count, speed and pitch.
Open calculator →Chain Drive Design Power Calculator
Calculate the design power for chain selection from transmitted power and an application or service factor.
Open calculator →Timing Belt Linear Speed Calculator
Calculate the feed speed of a timing-belt-driven linear carriage from drive pulley tooth count, belt pitch and speed.
Open calculator →Timing Belt Mesh Frequency Calculator
Calculate the tooth mesh frequency of a timing-belt pulley from speed and tooth count, e.g. to identify noise or vibration excitation.
Open calculator →Timing Belt Length Calculator
Calculate the pitch length of a timing-belt drive from center distance, belt pitch and tooth counts, or the center distance for an existing belt.
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