Diameter of Spring Wire given Stiffness Calculator

✖Stiffness of helical torsion spring is a measure of the resistance offered by a helical torsion spring to deformation, every object in this universe has some stiffness.ⓘ Stiffness of helical torsion spring [k_h]			+10% -10%
✖The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.ⓘ Mean Coil Diameter of Spring [D]			+10% -10%
✖Active Coils in Helical Torsion Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring.ⓘ Active Coils in Helical Torsion Spring [N_a]			+10% -10%
✖Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity of Spring [E]			+10% -10%

✖Diameter of spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring Wire given Stiffness [d]

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Formula

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Diameter of Spring Wire given Stiffness

Formula

`"d" = ("k"_{"h"}*64*"D"*"N"_{"a"}/"E")^(1/4)`

Example

`"4.000435mm"=("88.5Nmm/rad"*64*"36mm"*"260"/"207000N/mm²")^(1/4)`

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Diameter of Spring Wire given Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4)
d = (k_h*64*D*N_a/E)^(1/4)
This formula uses 5 Variables

Variables Used

Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
Stiffness of helical torsion spring - (Measured in Newton Meter per Radian) - Stiffness of helical torsion spring is a measure of the resistance offered by a helical torsion spring to deformation, every object in this universe has some stiffness.
Mean Coil Diameter of Spring - (Measured in Meter) - The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.
Active Coils in Helical Torsion Spring - Active Coils in Helical Torsion Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.

STEP 1: Convert Input(s) to Base Unit

Stiffness of helical torsion spring: 88.5 Newton Millimeter per Radian --> 0.0885 Newton Meter per Radian (Check conversion here)
Mean Coil Diameter of Spring: 36 Millimeter --> 0.036 Meter (Check conversion here)
Active Coils in Helical Torsion Spring: 260 --> No Conversion Required
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (k_h*64*D*N_a/E)^(1/4) --> (0.0885*64*0.036*260/207000000000)^(1/4)

Evaluating ... ...

d = 0.0040004347117382

STEP 3: Convert Result to Output's Unit

0.0040004347117382 Meter -->4.0004347117382 Millimeter (Check conversion here)

FINAL ANSWER

4.0004347117382 ≈ 4.000435 Millimeter <-- Diameter of spring wire

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Helical Torsion Springs » Diameter of Spring Wire given Stiffness

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Osmania University (OU), Hyderabad

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< 9 Helical Torsion Springs Calculators

Diameter of Spring Wire given Stiffness

Go Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4)

Number of Coils of Spring given Stiffness of Helical Torsion Spring

Go Active Coils in Helical Torsion Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Stiffness of helical torsion spring)

Modulus of Elasticity of Spring given Stiffness

Go Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4)

Mean Coil Diameter of Spring given Stiffness

Go Mean Coil Diameter of Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Active Coils in Helical Torsion Spring*Stiffness of helical torsion spring)

Stiffness of Helical Torsion Spring

Go Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring)

Diameter of Spring Wire given Bending Stress in Spring

Go Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)

Stress Concentration Factor given Bending Stress in Spring

Go Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring)

Bending Moment applied on Spring given Bending Stress

Go Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32)

Bending Stress in Spring

Go Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3)

Diameter of Spring Wire given Stiffness Formula

Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4)
d = (k_h*64*D*N_a/E)^(1/4)

Define a Helical Torsion Spring?

A helical torsion spring, is a metal rod or wire in the shape of a helix (coil) that is subjected to twisting about the axis of the coil by sideways forces (bending moments) applied to its ends, twisting the coil tighter.

How to Calculate Diameter of Spring Wire given Stiffness?

Diameter of Spring Wire given Stiffness calculator uses Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4) to calculate the Diameter of spring wire, The Diameter of Spring Wire given Stiffness formula is defined as the thickness of the wire by which the spring coil is made. Diameter of spring wire is denoted by d symbol.

How to calculate Diameter of Spring Wire given Stiffness using this online calculator? To use this online calculator for Diameter of Spring Wire given Stiffness, enter Stiffness of helical torsion spring (k_h), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (N_a) & Modulus of Elasticity of Spring (E) and hit the calculate button. Here is how the Diameter of Spring Wire given Stiffness calculation can be explained with given input values -> 4000.435 = (0.0885*64*0.036*260/207000000000)^(1/4).

FAQ

What is Diameter of Spring Wire given Stiffness?

The Diameter of Spring Wire given Stiffness formula is defined as the thickness of the wire by which the spring coil is made and is represented as d = (k_h*64*D*N_a/E)^(1/4) or Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4). Stiffness of helical torsion spring is a measure of the resistance offered by a helical torsion spring to deformation, every object in this universe has some stiffness, The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring, Active Coils in Helical Torsion Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring & Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.

How to calculate Diameter of Spring Wire given Stiffness?

The Diameter of Spring Wire given Stiffness formula is defined as the thickness of the wire by which the spring coil is made is calculated using Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4). To calculate Diameter of Spring Wire given Stiffness, you need Stiffness of helical torsion spring (k_h), Mean Coil Diameter of Spring (D), Active Coils in Helical Torsion Spring (N_a) & Modulus of Elasticity of Spring (E). With our tool, you need to enter the respective value for Stiffness of helical torsion spring, Mean Coil Diameter of Spring, Active Coils in Helical Torsion Spring & Modulus of Elasticity of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of spring wire?

In this formula, Diameter of spring wire uses Stiffness of helical torsion spring, Mean Coil Diameter of Spring, Active Coils in Helical Torsion Spring & Modulus of Elasticity of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)

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