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Mean Coil Diameter given Deflection in Spring Formula

GoMean Coil Diameter given Resultant Stress in Spring Formula

GoMean Coil diameter given Shear Stress Correction Factor Formula

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

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

D - Mean Coil Diameter of Spring?δ - Deflection of Spring?G - Modulus of Rigidity of Spring Wire?d - Diameter of Spring Wire?P - Axial Spring Force?N_a - Active Coils in Spring?

Mean Coil Diameter given Deflection in Spring Example

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Here is how the Mean Coil Diameter given Deflection in Spring equation looks like with Values.

Here is how the Mean Coil Diameter given Deflection in Spring equation looks like with Units.

Here is how the Mean Coil Diameter given Deflection in Spring equation looks like.

36 = {(23.3212 \cdot 86400 \cdot \frac{4^{4}}{8 \cdot 138.2 \cdot 10})}^{\frac{1}{3}}

36mm = {(23.3212mm \cdot 86400N/mm² \cdot \frac{{4mm}^{4}}{8 \cdot 138.2N \cdot 10})}^{\frac{1}{3}}

36 = {(23.3212 \cdot 86400 \cdot \frac{4^{4}}{8 \cdot 138.2 \cdot 10})}^{\frac{1}{3}}

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Mean Coil Diameter given Deflection in Spring Solution

Follow our step by step solution on how to calculate Mean Coil Diameter given Deflection in Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = {(23.3212mm \cdot 86400N/mm² \cdot \frac{{4mm}^{4}}{8 \cdot 138.2N \cdot 10})}^{\frac{1}{3}}

Next Step Convert Units

∴

D = {(0.0233m \cdot 8.6E+10Pa \cdot \frac{{0.004m}^{4}}{8 \cdot 138.2N \cdot 10})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

D = {(0.0233 \cdot 8.6E+10 \cdot \frac{{0.004}^{4}}{8 \cdot 138.2 \cdot 10})}^{\frac{1}{3}}

Next Step Evaluate

∴

D = 0.036m

LAST Step Convert to Output's Unit

∴

D = 36mm

Mean Coil Diameter given Deflection in Spring Formula Elements

Variables

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

Deflection of Spring

Deflection of Spring is how much the length of a spring changes when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of 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

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

Axial Spring Force

Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Spring Force

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

Other Formulas to find Mean Coil Diameter of Spring

Go Mean Coil Diameter given Resultant Stress in Spring

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

Go Mean Coil diameter given Shear Stress Correction Factor

D = 0.5 \cdot \frac{d}{K s - 1}

Go Mean Coil Diameter given Rate of Spring

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

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 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 Shear Stress Correction Factor

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

How to Evaluate Mean Coil Diameter given Deflection in Spring?

Mean Coil Diameter given Deflection in Spring evaluator uses Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3) to evaluate the Mean Coil Diameter of Spring, Mean Coil Diameter given Deflection in Spring formula is defined as a measure of the diameter of a coil spring when it is subjected to a certain amount of deflection, which is critical in determining the spring's stress and deflection characteristics in various engineering applications. Mean Coil Diameter of Spring is denoted by D symbol.

How to evaluate Mean Coil Diameter given Deflection in Spring using this online evaluator? To use this online evaluator for Mean Coil Diameter given Deflection in Spring, enter Deflection of Spring (δ), Modulus of Rigidity of Spring Wire (G), Diameter of Spring Wire (d), Axial Spring Force (P) & Active Coils in Spring (N_a) and hit the calculate button.

FAQs on Mean Coil Diameter given Deflection in Spring

What is the formula to find Mean Coil Diameter given Deflection in Spring?

The formula of Mean Coil Diameter given Deflection in Spring is expressed as Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3). Here is an example- 35994.21 = (0.02332125*86400000000*0.004^4/(8*138.2*10))^(1/3).

How to calculate Mean Coil Diameter given Deflection in Spring?

With Deflection of Spring (δ), Modulus of Rigidity of Spring Wire (G), Diameter of Spring Wire (d), Axial Spring Force (P) & Active Coils in Spring (N_a) we can find Mean Coil Diameter given Deflection in Spring using the formula - Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3).

What are the other ways to Calculate Mean Coil Diameter of Spring?

Here are the different ways to Calculate Mean Coil Diameter of Spring-

Mean Coil Diameter of Spring=Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
Mean Coil Diameter of Spring=0.5*Diameter of Spring Wire/(Shear Stress Correction Factor of Spring-1)
Mean Coil Diameter of Spring=(Modulus of Rigidity of Spring Wire*Diameter of Spring Wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)

Can the Mean Coil Diameter given Deflection in Spring be negative?

No, the Mean Coil Diameter given Deflection in Spring, measured in Length cannot be negative.

Which unit is used to measure Mean Coil Diameter given Deflection in Spring?

Mean Coil Diameter given Deflection in Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Coil Diameter given Deflection in Spring can be measured.

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Mean Coil Diameter given Deflection in Spring Formula

​GoMean Coil Diameter given Resultant Stress in Spring Formula

​GoMean Coil diameter given Shear Stress Correction Factor Formula

Mean Coil Diameter given Deflection in Spring Example

Mean Coil Diameter given Deflection in Spring Solution

Mean Coil Diameter given Deflection in Spring Formula Elements

Other Formulas to find Mean Coil Diameter of Spring

Other formulas in Stress and Deflections in Springs category

How to Evaluate Mean Coil Diameter given Deflection in Spring?

FAQs on Mean Coil Diameter given Deflection in Spring

Variable Name

GoMean Coil Diameter given Resultant Stress in Spring Formula

GoMean Coil diameter given Shear Stress Correction Factor Formula