Springs Calculators

Cylindrical Torsion Spring

In this calculation, a cylindrical torsion spring representing an elastic element with an inner diameter D₁, outer diameter D₂ and height H is considered.

The spring is under the action of torque T parallel to the spring axis. As a result of calculations, the angle of rotation α and shear stress τ in the elastic element are determined.

For the calculation, the elastic modulus E and Poisson's ratio ν of the spring should be specified.

Torsion spring calculation

Cylindrical torsion spring calculation

INITIAL DATA

D₂ - Elastic element outer diameter;

D₁ - Elastic element inner diameter;

H - Spring height;

E - Young's modulus;

ν - Poisson's ratio;

T - Torque.

RESULTS DATA

α - Angle of twist;

τ - Shear stress.

Metric Imperial

Diameter (D₂)

Diameter (D₁)

Height (H)

Young's modulus (Е)

Poisson's ratio (ν)

Torque (T)

Angle of twist (α)

Shear stress (τ)

BASIC FORMULAS

Angle of twist:

α = (T / π*H*G)*(1/D₁² - 1/D₂²);

Maximum shear stress:

τ = 2T / π*H*D₁².

INITIAL DATA

D₂ - Elastic element outer diameter;

D₁ - Elastic element inner diameter;

H - Spring height;

E - Young's modulus;

ν - Poisson's ratio;

T - Torque.

RESULTS DATA

α - Angle of twist;

τ - Shear stress.

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