Helical Torsion Spring | Online Calculator

Springs Calculators







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)

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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)

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