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Diameter of Spring Wire given Stiffness of Helical Spring Calculator

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Diameter of Spring Axial Load Loads and Parameter of Spring Mean Radius of Spring

✖Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Helical Spring [k]			+10% -10%
✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius Spring Coil [R]			+10% -10%
✖The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.ⓘ Number of Coils [N]			+10% -10%
✖Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.ⓘ Modulus of Rigidity of Spring [G]			+10% -10%

✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire given Stiffness of Helical Spring [d]

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Diameter of Spring Wire given Stiffness of Helical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4)
d = ((64*k*R^3*N)/(G))^(1/4)
This formula uses 5 Variables

Variables Used

Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
Stiffness of Helical Spring - (Measured in Newton per Meter) - Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.
Modulus of Rigidity of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Helical Spring: 0.75 Kilonewton per Meter --> 750 Newton per Meter (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
Number of Coils: 2 --> No Conversion Required
Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((64*k*R^3*N)/(G))^(1/4) --> ((64*750*0.32^3*2)/(4000000))^(1/4)

Evaluating ... ...

d = 0.167461622302737

STEP 3: Convert Result to Output's Unit

0.167461622302737 Meter -->167.461622302737 Millimeter (Check conversion here)

FINAL ANSWER

167.461622302737 ≈ 167.4616 Millimeter <-- Diameter of Spring Wire

(Calculation completed in 00.020 seconds)

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< Diameter of Spring Calculators

Diameter of Spring Wire given Strain Energy Stored by Spring

LaTeX Go Diameter of Spring Wire = ((32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)

Diameter of Spring Wire given Deflection of Spring

LaTeX Go Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)

Diameter of Spring Wire given Stiffness of Helical Spring

LaTeX Go Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4)

Diameter of Spring Wire given Maximum Shear Stress induced in Wire

LaTeX Go Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3)

Diameter of Spring Wire given Stiffness of Helical Spring Formula

LaTeX Go

Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4)
d = ((64*k*R^3*N)/(G))^(1/4)

What does strain energy tell you?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape.

How to Calculate Diameter of Spring Wire given Stiffness of Helical Spring?

Diameter of Spring Wire given Stiffness of Helical Spring calculator uses Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4) to calculate the Diameter of Spring Wire, The Diameter of spring wire given stiffness of helical spring formula is defined as a chord that runs through the center point of the circle. Diameter of Spring Wire is denoted by d symbol.

How to calculate Diameter of Spring Wire given Stiffness of Helical Spring using this online calculator? To use this online calculator for Diameter of Spring Wire given Stiffness of Helical Spring, enter Stiffness of Helical Spring (k), Mean Radius Spring Coil (R), Number of Coils (N) & Modulus of Rigidity of Spring (G) and hit the calculate button. Here is how the Diameter of Spring Wire given Stiffness of Helical Spring calculation can be explained with given input values -> 167461.6 = ((64*750*0.32^3*2)/(4000000))^(1/4).

FAQ

What is Diameter of Spring Wire given Stiffness of Helical Spring?

The Diameter of spring wire given stiffness of helical spring formula is defined as a chord that runs through the center point of the circle and is represented as d = ((64*k*R^3*N)/(G))^(1/4) or Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4). Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, Mean Radius Spring Coil is the mean radius of the coils of spring, The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine & Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

How to calculate Diameter of Spring Wire given Stiffness of Helical Spring?

The Diameter of spring wire given stiffness of helical spring formula is defined as a chord that runs through the center point of the circle is calculated using Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4). To calculate Diameter of Spring Wire given Stiffness of Helical Spring, you need Stiffness of Helical Spring (k), Mean Radius Spring Coil (R), Number of Coils (N) & Modulus of Rigidity of Spring (G). With our tool, you need to enter the respective value for Stiffness of Helical Spring, Mean Radius Spring Coil, Number of Coils & Modulus of Rigidity 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 Spring, Mean Radius Spring Coil, Number of Coils & Modulus of Rigidity of Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)
Diameter of Spring Wire = ((16*Axial Load*Mean Radius Spring Coil)/(pi*Maximum Shear Stress in Wire))^(1/3)
Diameter of Spring Wire = ((32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)

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