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Diameter of Spring Wire given Deflection of Spring Calculator

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

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+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%
✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy [U]			+10% -10%

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

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Diameter of Spring Wire given Deflection of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4)
d = ((64*P*R^3*N)/(G*U))^(1/4)
This formula uses 6 Variables

Variables Used

Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
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.
Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.

STEP 1: Convert Input(s) to Base Unit

Axial Load: 10 Kilonewton --> 10000 Newton (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)
Strain Energy: 5 Kilojoule --> 5000 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((64*P*R^3*N)/(G*U))^(1/4) --> ((64*10000*0.32^3*2)/(4000000*5000))^(1/4)

Evaluating ... ...

d = 0.0380546276800871

STEP 3: Convert Result to Output's Unit

0.0380546276800871 Meter -->38.0546276800871 Millimeter (Check conversion here)

FINAL ANSWER

38.0546276800871 ≈ 38.05463 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 Deflection of Spring Formula

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)
d = ((64*P*R^3*N)/(G*U))^(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 Deflection of Spring?

Diameter of Spring Wire given Deflection of Spring calculator uses Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4) to calculate the Diameter of Spring Wire, Diameter of spring wire given deflection of spring 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 Deflection of Spring using this online calculator? To use this online calculator for Diameter of Spring Wire given Deflection of Spring, enter Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Modulus of Rigidity of Spring (G) & Strain Energy (U) and hit the calculate button. Here is how the Diameter of Spring Wire given Deflection of Spring calculation can be explained with given input values -> 38054.63 = ((64*10000*0.32^3*2)/(4000000*5000))^(1/4).

FAQ

What is Diameter of Spring Wire given Deflection of Spring?

Diameter of spring wire given deflection of spring is defined as a chord that runs through the center point of the circle and is represented as d = ((64*P*R^3*N)/(G*U))^(1/4) or Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4). Axial Load is defined as applying a force on a structure directly along an axis of the structure, 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 & The Strain Energy is defined as the energy stored in a body due to deformation.

How to calculate Diameter of Spring Wire given Deflection of Spring?

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

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