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Diameter of Spring Wire given Rate of Spring Formula

GoDiameter of Spring Wire given Resultant Stress in Spring Formula

GoDiameter of Spring Wire given Deflection in Spring Formula

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Diameter of Spring Wire is the diameter of the wire of which a spring is made. Check FAQs

d = {(\frac{k \cdot 8 \cdot D^{3} \cdot N a}{G})}^{\frac{1}{4}}

d - Diameter of Spring Wire?k - Stiffness of Spring?D - Mean Coil Diameter of Spring?N_a - Active Coils in Spring?G - Modulus of Rigidity of Spring Wire?

Diameter of Spring Wire given Rate of Spring Example

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

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

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

3.9956 = {(\frac{5.9 \cdot 8 \cdot 36^{3} \cdot 10}{86400})}^{\frac{1}{4}}

3.9956mm = {(\frac{5.9N/mm \cdot 8 \cdot {36mm}^{3} \cdot 10}{86400N/mm²})}^{\frac{1}{4}}

3.9956 = {(\frac{5.9 \cdot 8 \cdot 36^{3} \cdot 10}{86400})}^{\frac{1}{4}}

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Diameter of Spring Wire given Rate of Spring Solution

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

FIRST Step Consider the formula

d = {(\frac{k \cdot 8 \cdot D^{3} \cdot N a}{G})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(\frac{5.9N/mm \cdot 8 \cdot {36mm}^{3} \cdot 10}{86400N/mm²})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{5900N/m \cdot 8 \cdot {0.036m}^{3} \cdot 10}{8.6E+10Pa})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{5900 \cdot 8 \cdot {0.036}^{3} \cdot 10}{8.6E+10})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.00399561780389217m

Next Step Convert to Output's Unit

∴

d = 3.99561780389217mm

LAST Step Rounding Answer

∴

d = 3.9956mm

Diameter of Spring Wire given Rate of Spring Formula Elements

Variables

Diameter of Spring Wire

Diameter of Spring Wire is the diameter of the wire of which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Stiffness of Spring

Stiffness of 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: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Mean Coil Diameter of Spring

The Mean Coil Diameter of Spring is defined as the average of the inner and the outer diameters of a spring.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Coil Diameter of Spring

Active Coils in Spring

Active Coils in Spring is the number of coils or turns of a spring that actually contributes to the load-bearing capacity of the spring. All of the coils that aren't on the ends of a spring.

Symbol: N_a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Active Coils in Spring

Modulus of Rigidity of Spring Wire

Modulus of rigidity of spring wire 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: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring Wire

Other Formulas to find Diameter of Spring Wire

Go Diameter of Spring Wire given Resultant Stress in Spring

d = {(\frac{K \cdot 8 \cdot P \cdot D}{π \cdot 𝜏})}^{\frac{1}{3}}

Go Diameter of Spring Wire given Deflection in Spring

d = {(\frac{8 \cdot P \cdot (D^{3}) \cdot N a}{G \cdot δ})}^{\frac{1}{4}}

Go Diameter of Spring Wire given Shear Stress Correction Factor

d = (K s - 1) \cdot \frac{D}{.5}

Other formulas in Stress and Deflections in Springs category

Go Resultant Stress in Spring

𝜏 = K \cdot \frac{8 \cdot P \cdot D}{π \cdot d^{3}}

Go Force acting on Spring given Resultant Stress

P = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot D}

Go Mean Coil Diameter given Resultant Stress in Spring

D = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot P}

Go Shear Stress Correction Factor

K s = (1 + (\frac{.5}{C}))

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

Diameter of Spring Wire given Rate of Spring evaluator uses Diameter of Spring Wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire))^(1/4) to evaluate the Diameter of Spring Wire, Diameter of Spring Wire given Rate of Spring formula is defined as a measure of the diameter of a spring wire based on its rate, which is essential in determining the stress and deflections in springs, providing valuable insights for spring design and engineering applications. Diameter of Spring Wire is denoted by d symbol.

How to evaluate Diameter of Spring Wire given Rate of Spring using this online evaluator? To use this online evaluator for Diameter of Spring Wire given Rate of Spring, enter Stiffness of Spring (k), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a) & Modulus of Rigidity of Spring Wire (G) and hit the calculate button.

FAQs on Diameter of Spring Wire given Rate of Spring

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

The formula of Diameter of Spring Wire given Rate of Spring is expressed as Diameter of Spring Wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire))^(1/4). Here is an example- 4228.427 = ((5900*8*0.036^3*10)/(86400000000))^(1/4).

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

With Stiffness of Spring (k), Mean Coil Diameter of Spring (D), Active Coils in Spring (N_a) & Modulus of Rigidity of Spring Wire (G) we can find Diameter of Spring Wire given Rate of Spring using the formula - Diameter of Spring Wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire))^(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=((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
Diameter of Spring Wire=((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of Rigidity of Spring Wire*Deflection of Spring))^(1/4)
Diameter of Spring Wire=(Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5

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

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

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

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

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Diameter of Spring Wire given Rate of Spring Formula

​GoDiameter of Spring Wire given Resultant Stress in Spring Formula

​GoDiameter of Spring Wire given Deflection in Spring Formula

Diameter of Spring Wire given Rate of Spring Example

Diameter of Spring Wire given Rate of Spring Solution

Diameter of Spring Wire given Rate of Spring Formula Elements

Other Formulas to find Diameter of Spring Wire

Other formulas in Stress and Deflections in Springs category

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

FAQs on Diameter of Spring Wire given Rate of Spring

Variable Name

GoDiameter of Spring Wire given Resultant Stress in Spring Formula

GoDiameter of Spring Wire given Deflection in Spring Formula