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Diameter of Spring Wire given Stiffness of Helical Spring Formula

GoDiameter of Spring Wire given Deflection of Spring Formula

GoDiameter of Spring Wire given Maximum Shear Stress induced in Wire Formula

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Diameter of spring wire is the diameter length of spring wire. Check FAQs

d = {(\frac{64 \cdot k \cdot R^{3} \cdot N}{G})}^{\frac{1}{4}}

d - Diameter of Spring Wire?k - Stiffness of Helical Spring?R - Mean Radius Spring Coil?N - Number of Coils?G - Modulus of Rigidity of Spring?

Diameter of Spring Wire given Stiffness of Helical Spring Example

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Here is how the Diameter of Spring Wire given Stiffness of Helical Spring equation looks like with Values.

Here is how the Diameter of Spring Wire given Stiffness of Helical Spring equation looks like with Units.

Here is how the Diameter of Spring Wire given Stiffness of Helical Spring equation looks like.

167.4616 = {(\frac{64 \cdot 0.75 \cdot 320^{3} \cdot 2}{4})}^{\frac{1}{4}}

167.4616mm = {(\frac{64 \cdot 0.75kN/m \cdot {320mm}^{3} \cdot 2}{4MPa})}^{\frac{1}{4}}

167.4616 = {(\frac{64 \cdot 0.75 \cdot 320^{3} \cdot 2}{4})}^{\frac{1}{4}}

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Diameter of Spring Wire given Stiffness of Helical Spring Solution

Follow our step by step solution on how to calculate Diameter of Spring Wire given Stiffness of Helical Spring?

FIRST Step Consider the formula

d = {(\frac{64 \cdot k \cdot R^{3} \cdot N}{G})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(\frac{64 \cdot 0.75kN/m \cdot {320mm}^{3} \cdot 2}{4MPa})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{64 \cdot 750N/m \cdot {0.32m}^{3} \cdot 2}{4E+6Pa})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{64 \cdot 750 \cdot {0.32}^{3} \cdot 2}{4E+6})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.167461622302737m

Next Step Convert to Output's Unit

∴

d = 167.461622302737mm

LAST Step Rounding Answer

∴

d = 167.4616mm

Diameter of Spring Wire given Stiffness of Helical Spring Formula Elements

Variables

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Stiffness of Helical 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.

Symbol: k

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Helical Spring

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Modulus of Rigidity of Spring

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.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Other Formulas to find Diameter of Spring Wire

Go Diameter of Spring Wire given Deflection of Spring

d = {(\frac{64 \cdot P \cdot R^{3} \cdot N}{G \cdot U})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Maximum Shear Stress induced in Wire

d = {(\frac{16 \cdot P \cdot R}{π \cdot 𝜏 w})}^{\frac{1}{3}}

Go Diameter of Spring Wire given Strain Energy Stored by Spring

d = {(\frac{32 \cdot P^{2} \cdot R^{3} \cdot N}{G \cdot U})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Twisting Moment

d = {(\frac{16 \cdot D}{π \cdot 𝜏 w})}^{\frac{1}{3}}

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

Diameter of Spring Wire given Stiffness of Helical Spring evaluator 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 evaluate 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 evaluate Diameter of Spring Wire given Stiffness of Helical Spring using this online evaluator? To use this online evaluator 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.

FAQs on Diameter of Spring Wire given Stiffness of Helical Spring

What is the formula to find Diameter of Spring Wire given Stiffness of Helical Spring?

The formula of Diameter of Spring Wire given Stiffness of Helical Spring is expressed as Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4). Here is an example- 167461.6 = ((64*750*0.32^3*2)/(4000000))^(1/4).

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

With Stiffness of Helical Spring (k), Mean Radius Spring Coil (R), Number of Coils (N) & Modulus of Rigidity of Spring (G) we can find Diameter of Spring Wire given Stiffness of Helical Spring using the formula - Diameter of Spring Wire = ((64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring))^(1/4).

What are the other ways to Calculate Diameter of Spring Wire?

Here are the different ways to Calculate Diameter of Spring Wire-

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)

Can the Diameter of Spring Wire given Stiffness of Helical Spring be negative?

No, the Diameter of Spring Wire given Stiffness of Helical Spring, measured in Length cannot be negative.

Which unit is used to measure Diameter of Spring Wire given Stiffness of Helical Spring?

Diameter of Spring Wire given Stiffness of Helical Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Spring Wire given Stiffness of Helical Spring can be measured.

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Diameter of Spring Wire given Stiffness of Helical Spring Formula

​GoDiameter of Spring Wire given Deflection of Spring Formula

​GoDiameter of Spring Wire given Maximum Shear Stress induced in Wire Formula

Diameter of Spring Wire given Stiffness of Helical Spring Example

Diameter of Spring Wire given Stiffness of Helical Spring Solution

Diameter of Spring Wire given Stiffness of Helical Spring Formula Elements

Other Formulas to find Diameter of Spring Wire

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

FAQs on Diameter of Spring Wire given Stiffness of Helical Spring

Variable Name

GoDiameter of Spring Wire given Deflection of Spring Formula

GoDiameter of Spring Wire given Maximum Shear Stress induced in Wire Formula