Shafts, shaft-hub connections and couplings
Shaft pre-design, parallel keys, cylindrical interference fits, plus clutch/coupling engagement torque and brake sizing.
Pre-size the shaft and then verify the selected torque-transmitting connection, or size a coupling or brake for the required acceleration or braking time.
Calculators in this category
Shaft Diameter
Pre-size a solid shaft under bending and torsion.
Open calculator →DIN 743 Shaft Verification
Verify multiple critical sections for fatigue and maximum load.
Open calculator →Shaft Angle of Twist
Calculate twist, stiffness, and shear stress of a circular shaft.
Open calculator →Parallel Key
Verify a parallel-key connection.
Open calculator →Parallel-key Dimensions
Look up key and keyway dimensions to DIN 6885-1.
Open calculator →Interference Fit
Calculate pressure and capacity of an interference fit.
Open calculator →Interference Fit at Speed: Centrifugal Effect (DIN 7190-1)
Calculate how far centrifugal force reduces the joint pressure of an interference fit per DIN 7190-1 section 10.2, with the lift-off speed, the optional 10 % drop criterion and a check of the purely elastic precondition.
Open calculator →Rotor Critical Speed (Basic Model)
Estimate a single-mass rotor's natural frequency and critical speed from rotor mass and shaft/bearing stiffness or static deflection, and compare it against the operating speed. Not a DIN 743 strength check.
Open calculator →Hollow Shaft Diameter Pre-Design (DIN 743)
Pre-size a hollow shaft's outer diameter from bending moment, torque, and a chosen bore ratio using the DIN 743-1 nominal stress approach.
Open calculator →Shrink-Fit Assembly Temperature (DIN 7190-1)
Calculate the outer-part heating temperature needed to assemble an interference fit, and the largest interference a given maximum temperature can still join.
Open calculator →Parallel Key Torque Calculator (DIN 6892 Method C)
Calculate the allowable torque of a parallel key connection with the simplified Method C of DIN 6892 for preliminary sizing.
Open calculator →Clutch Engagement Torque Calculator
Calculate the torque transmitted while engaging a clutch in a two-mass system from both inertias and the drive and load torque.
Open calculator →Brake Torque Calculator
Calculate the brake torque required for a target braking time from inertia, initial speed and any acting load torque.
Open calculator →Braking Time Calculator for Rotating Masses
Calculate the time to a full stop from available brake torque, inertia, initial speed and any acting load torque.
Open calculator →Brake Friction Work Calculator
Calculate the friction work converted to heat per braking event from brake torque, initial speed and braking time for thermal brake design.
Open calculator →Taper Joint Press Force Calculator
Calculate the axial press-in force a frictional cone (taper) joint needs to transmit a given torque.
Open calculator →Taper Angle Calculator
Calculate the cone half-angle from large diameter, small diameter and cone length.
Open calculator →Taper Joint Friction Torque Calculator
Calculate the ideal friction torque of a cone (taper) joint from normal force, static friction coefficient and mean joint diameter.
Open calculator →Split Clamp Hub Torque Calculator
Calculate the nominal torque capacity of a split clamp hub from the bolt clamping force.
Open calculator →Friction Clutch Torque Calculator
Calculate static or dynamic torque of a disc friction clutch from friction coefficient, clamp force, mean friction radius and number of friction faces.
Open calculator →Torsional Vibration Node Calculator
Calculate the node position of a two-mass torsional vibration system from shaft length and both mass moments of inertia.
Open calculator →Shaft Unbalance Amplitude Calculator
Calculate the vibration amplitude of an unbalanced shaft from eccentricity, operating speed and critical speed.
Open calculator →Torsional Critical Speed Calculator (Two-Mass)
Calculate the torsional critical speed of a two-mass system from both inertias, shear modulus, shaft diameter and shaft length.
Open calculator →Static Balancing Correction Mass Calculator
Calculate the correction mass for static balancing from unbalance mass, unbalance radius and correction radius.
Open calculator →Balance Quality Grade Calculator (Residual Unbalance)
Calculate the permissible residual unbalance as a correction mass from rotor mass, balance quality grade G, operating speed and correction radius.
Open calculator →Spline Shaft Torque Capacity Calculator
Calculate the simplified torque capacity of a spline shaft from mean diameter, flank height, length, tooth count, load sharing and allowable pressure.
Open calculator →P3G/P4C Polygon Connection Calculator
Calculate the maximum contact pressure of a P3G or P4C polygon connection from torque, bearing length, profile coefficient, diameter and eccentricity.
Open calculator →P3G Polygon Shaft Torsional Stress Calculator
Calculate the maximum torsional shear stress of a P3G polygon shaft from torque, reference diameter and eccentricity.
Open calculator →Self-Locking Taper Fit Torque Calculator
Calculate the frictional torque limit of a self-locking tapered interference fit from cone half-angle, two friction coefficients, interface pressure, contact length and mean diameter.
Open calculator →Stepped Hub Interference Fit Calculator
Calculate the slip torque of an interference fit with a stepped hub by the three-slice method from friction, fit diameter, interface pressures and lengths.
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