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Shaft Diameter Calculator

Shaft Diameter Calculator handles combined torsion and bending; fatigue and the keyway are what a real design has to add.

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Math & Science

Shaft Diameter Calculator

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Minimum diameter

15 kW at 1450 rpm is 98.8 Nm of torque. Combined with 85 Nm of bending at 40 MPa allowable shear, the minimum diameter is about 27 mm before any keyway allowance.

How the Shaft Diameter Calculator works

  1. Enter the transmitted power and speed, which give the torque.
  2. Add the bending moment from the shaft's loading and supports.
  3. Add allowances for keyways, stress concentrations and fatigue, then treat the result as preliminary and have it reviewed.

The method

Torque follows from power and speed, and the combined loading determines the required section modulus.

T = 9550 x kW / rpm, then d = cube root of (16 x sqrt(M^2 + T^2) / (pi x tau))

A keyway removes material and concentrates stress, commonly requiring several percent of extra diameter beyond the calculated figure.

FAQ

Why does a keyway matter?

Because it removes material and concentrates stress at a sharp corner. A shaft sized to the calculated diameter and then cut with a keyway is undersized, and the corner is where fatigue cracks start.

Is static calculation enough?

No. A rotating shaft under bending experiences fully reversed stress every revolution, which is a fatigue problem rather than a static one. Fatigue analysis governs most real shaft failures.

Can I use this for a real design?

As a preliminary check only. Real shaft design covers fatigue, stress concentrations, deflection, critical speed and bearing loads, and it needs a qualified engineer.

How we compare

Feature Online Tool Store A graphing calculator A stats package
Combined loading Torque only
Explains keyway allowance
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Shaft Diameter Calculator handles combined torsion and bending; fatigue and the keyway are what a real design has to add.

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