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Diameter of Spring Wire given Deflection of Spring Formula

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

GoDiameter of Spring Wire given Stiffness of Helical Spring Formula

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

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

d - Diameter of Spring Wire?P - Axial Load?R - Mean Radius Spring Coil?N - Number of Coils?G - Modulus of Rigidity of Spring?U - Strain Energy?

Diameter of Spring Wire given Deflection of Spring Example

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

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

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

38.0546 = {(\frac{64 \cdot 10 \cdot 320^{3} \cdot 2}{4 \cdot 5})}^{\frac{1}{4}}

38.0546mm = {(\frac{64 \cdot 10kN \cdot {320mm}^{3} \cdot 2}{4MPa \cdot 5KJ})}^{\frac{1}{4}}

38.0546 = {(\frac{64 \cdot 10 \cdot 320^{3} \cdot 2}{4 \cdot 5})}^{\frac{1}{4}}

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Diameter of Spring Wire given Deflection of Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = {(\frac{64 \cdot 10kN \cdot {320mm}^{3} \cdot 2}{4MPa \cdot 5KJ})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{64 \cdot 10000N \cdot {0.32m}^{3} \cdot 2}{4E+6Pa \cdot 5000J})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{64 \cdot 10000 \cdot {0.32}^{3} \cdot 2}{4E+6 \cdot 5000})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.0380546276800871m

Next Step Convert to Output's Unit

∴

d = 38.0546276800871mm

LAST Step Rounding Answer

∴

d = 38.0546mm

Diameter of Spring Wire given Deflection of 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

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

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

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Other Formulas to find Diameter of Spring Wire

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 Stiffness of Helical Spring

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

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 Deflection of Spring?

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

FAQs on Diameter of Spring Wire given Deflection of Spring

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

The formula of Diameter of Spring Wire given Deflection of Spring is expressed as Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(1/4). Here is an example- 38054.63 = ((64*10000*0.32^3*2)/(4000000*5000))^(1/4).

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

With Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Modulus of Rigidity of Spring (G) & Strain Energy (U) we can find Diameter of Spring Wire given Deflection of Spring using the formula - Diameter of Spring Wire = ((64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Modulus of Rigidity of Spring*Strain Energy))^(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=((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)

Can the Diameter of Spring Wire given Deflection of Spring be negative?

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

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

Diameter of Spring Wire given Deflection of 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 Deflection of Spring can be measured.

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Diameter of Spring Wire given Deflection of Spring Formula

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

​GoDiameter of Spring Wire given Stiffness of Helical Spring Formula

Diameter of Spring Wire given Deflection of Spring Example

Diameter of Spring Wire given Deflection of Spring Solution

Diameter of Spring Wire given Deflection of Spring Formula Elements

Other Formulas to find Diameter of Spring Wire

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

FAQs on Diameter of Spring Wire given Deflection of Spring

Variable Name

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

GoDiameter of Spring Wire given Stiffness of Helical Spring Formula