Springs Calculators | Cylindrical spring

Springs Calculators







Cylindrical Helical Spring

In this calculation, a helical spring with an average diameter D and wire diameter d is considered. The number of active coils is n, with clearance between coils m.

The spring is under a load F, parallel to the spring axis. As a result of calculations, the spring stiffness C, spring deflection Y under load, length of the unloaded and fully compressed spring L, Lc are determined. The calculation of the maximum shear stresses in the coils τ is also performed. For the calculation, the elastic modulus E of the spring should be specified.

Coil Helical Spring
Coil Helical Spring calculation

INITIAL DATA

D - Mean spring diameter;


d - Wire diameter;


n - Number of active coils;


m - Clearance between coils;


E - Young's modulus;


F - Spring load.

RESULTS DATA

C - Spring stiffness;


Y - Total deflection of spring under load F;


L - Free length of the spring;


Lc - Minimum length of the fully compressed spring;


τ - Maximum shear stress under load F.

Diameter (D)

Diameter (d)

Number of active coils (n)

Clearance (m)

Young's modulus (Е)

Spring load (F)

Stiffness (C)

Deflection (Y)

Free length (L)

Length (Lc)

Shear stress (τ)

BASIC FORMULAS

Coil ratio:

i = D / d;

Stress concentration factor:

k = (4i - 1) / (4i - 4) + 0,615 / i;

Stiffness:

C = G*d4 / (8D3*n);

Deflection:

Y = F / C;

Maximum shear stress:

τ = k*(8F*D / π*d3).

INITIAL DATA

D - Mean spring diameter;


d - Wire diameter;


n - Number of active coils;


m - Clearance between coils;


E - Young's modulus;


F - Spring load.

RESULTS DATA

C - Spring stiffness;


Y - Total deflection of spring under load F;


L - Free length of the spring;


Lc - Minimum length of the fully compressed spring;


τ - Maximum shear stress under load F.

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