Mean Coil Diameter of Spring given Stiffness Calculator

✖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 [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%
✖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 given Stiffness [D]

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Formula

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Mean Coil Diameter of Spring given Stiffness

Formula

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

Example

`"35.98435mm"="207000N/mm²"*("4mm")^4/(64*"260"*"88.5Nmm/rad")`

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Mean Coil Diameter of Spring given Stiffness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D = E*d^4/(64*N_a*k_h)
This formula uses 5 Variables

Variables Used

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.
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.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Active Coils in Helical Torsion Spring: 260 --> No Conversion Required
Stiffness of helical torsion spring: 88.5 Newton Millimeter per Radian --> 0.0885 Newton Meter per Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = E*d^4/(64*N_a*k_h) --> 207000000000*0.004^4/(64*260*0.0885)

Evaluating ... ...

D = 0.0359843546284224

STEP 3: Convert Result to Output's Unit

0.0359843546284224 Meter -->35.9843546284224 Millimeter (Check conversion here)

FINAL ANSWER

35.9843546284224 ≈ 35.98435 Millimeter <-- Mean Coil Diameter of Spring

(Calculation completed in 00.004 seconds)

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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)

Mean Coil Diameter of Spring given Stiffness Formula

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)
D = E*d^4/(64*N_a*k_h)

Define Helical Torsion Spring?

A torsion spring is a spring that works by twisting its end along its axis; that is, a flexible elastic object that stores mechanical energy when it is twisted. When it is twisted, it exerts a torque in the opposite direction, proportional to the amount (angle) it is twisted.

How to Calculate Mean Coil Diameter of Spring given Stiffness?

Mean Coil Diameter of Spring given Stiffness calculator uses 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) to calculate the Mean Coil Diameter of Spring, Mean Coil Diameter of Spring given Stiffness formula is defined as the average of the outer and the inner diameter of the spring coil. Mean Coil Diameter of Spring is denoted by D symbol.

How to calculate Mean Coil Diameter of Spring given Stiffness using this online calculator? To use this online calculator for Mean Coil Diameter of Spring given Stiffness, enter Modulus of Elasticity of Spring (E), Diameter of spring wire (d), Active Coils in Helical Torsion Spring (N_a) & Stiffness of helical torsion spring (k_h) and hit the calculate button. Here is how the Mean Coil Diameter of Spring given Stiffness calculation can be explained with given input values -> 35984.35 = 207000000000*0.004^4/(64*260*0.0885).

FAQ

What is Mean Coil Diameter of Spring given Stiffness?

Mean Coil Diameter of Spring given Stiffness formula is defined as the average of the outer and the inner diameter of the spring coil and is represented as D = E*d^4/(64*N_a*k_h) or 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). 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, Diameter of spring wire is the diameter of the wire of which a spring is made, 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 & 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.

How to calculate Mean Coil Diameter of Spring given Stiffness?

Mean Coil Diameter of Spring given Stiffness formula is defined as the average of the outer and the inner diameter of the spring coil is calculated using 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). To calculate Mean Coil Diameter of Spring given Stiffness, you need Modulus of Elasticity of Spring (E), Diameter of spring wire (d), Active Coils in Helical Torsion Spring (N_a) & Stiffness of helical torsion spring (k_h). With our tool, you need to enter the respective value for Modulus of Elasticity of Spring, Diameter of spring wire, Active Coils in Helical Torsion Spring & Stiffness of helical torsion spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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