Keyway Connection | Online Calculator

Shaft Connections Calculators

Keyway Connection

In order to transmit rotation from the shaft to the hub of gear wheels, pulleys, sprockets, couplings, flanges and other coaxial parts, rigid and frictional joints of various types are used. Here we can calculate rigid connections, namely the pinned, keyed, splined and flanged ones. It is also possible to make a calculation of frictional press-fitting, which transmit torque by frictional forces.

In this calculation, a connection with a prismatic key with a length L, height H and width b mounted on a shaft with a diameter D in a keyway with a depth t is considered. The shaft is under the action of torque T.

As a result of calculations, shear stress τ and crushing stress σcr in the key are determined.

Parallel key connection
Calculation of key

INITIAL DATA

b - Key width;

Н - Key height;

L - Key effective length;

t - Keyway depth;

D - Shaft diameter;

T - Shaft torque.

RESULTS DATA

τ - Maximum shear stress in the key;

σ - Maximum crushing stress in the key.

Key width (b)

Key height (H)

Key length (L)

Keyway depth (t)

Shaft diameter (D)

Torque (Т)

Shear stress (τ)

Crushing stress (σcr)

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BASIC FORMULAS

Shear stress:

τ = 2T / (b*L*D);

Crushing stress:

σcr = 2T / ((H - t)*L*D).

Limit shear stress for key:

[τ] = (0.1 ÷ 0.2)σ02

Limit Crushing stress for key:

[σcr] = σ02 / 1,5

INITIAL DATA

b - Key width;

Н - Key height;

L - Key effective length;

t - Keyway depth;

D - Shaft diameter;

T - Shaft torque.

RESULTS DATA

τ - Maximum shear stress in the key;

σ - Maximum crushing stress in the key.

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