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 σ_cr 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.

Metric Imperial

Key width (b)

Key height (H)

Key length (L)

Keyway depth (t)

Shaft diameter (D)

Torque (Т)

Shear stress (τ)

Crushing stress (σ_cr)

BASIC FORMULAS

Shear stress:

τ = 2T / (b*L*D);

Crushing stress:

σ_cr = 2T / ((H - t)*L*D).

Limit shear stress for key:

[τ] = (0.1 ÷ 0.2)σ₀₂

Limit Crushing stress for key:

[σ_cr] = 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.

OTHER CALCULATORS

AREA MOMENTS OF INERTIA

BEAM CALCULATORS

TORSION OF BARS

CIRCULAR FLAT PLATES

BUCKLING

ELASTIC CONTACT

IMPACT LOADS

NATURAL FREQUENCIES

PRESSURED SHELLS

FLUID DYNAMIC

COMPOSITES

SPRINGS

THREAD CONNECTIONS

SHAFT CONNECTIONS

BEARINGS

DRIVES

FATIGUE

HEAT TRANSFER