Helical Torsion Spring | Online Calculator

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Helical Torsion Spring

In this calculation, a helical torsion spring with a mean diameter D and wire diameter d is considered. The number of acting coils of the spring is n.

The spring is under the action of torque T. As a result of calculations, the angle of twist α of the outer end of the spring and the bending stress σ in the coils are determined.

Helical torsion spring
Helical torsion spring calculation

INITIAL DATA

D - Mean spring diameter;


d - Wire diameter;


n - Number of coils;


E - Young's modulus;


T - Torque.

RESULTS DATA

α - Angle of twist;


σ - Bending stress.

Diameter (D)

Diameter (d)

Number of coils (n)

Young's modulus (Е)

Torque (T)

Angle of twist (α)

Bending stress (σ)

BASIC FORMULAS

Angle of twist:

α = 64T*D*n / E*d4;

Bending stress:

σ = 32T / π*d3.

INITIAL DATA

D - Mean spring diameter;


d - Wire diameter;


n - Number of coils;


E - Young's modulus;


T - Twisting torque.

RESULTS DATA

α - Angle of twist;


σ - Bending stress.

MATERIAL PROPERTIES

Steel

Tensile strength, depending on tempering temperature

MPa (psi)

Yield strength, depending on tempering temperature

MPa (psi)

1050

738÷979 (107*103÷142*103)

469÷724 (68*103÷105*103)

1080

889÷1310 (129*103÷190*103)

600÷979 (87*103÷142*103)

4150

958÷1931 (139*103÷280*103)

841÷1724 (122*103÷250*103)

5160

896÷2220 (130*103÷322*103)

800÷1793 (116*103÷260*103)

6150

945÷1931 (137*103÷280*103)

841÷1689 (122*103÷245*103)

9255

993÷2103 (144*103÷305*103)

814÷2048 (118*103÷297*103)

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