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Mean Coil Diameter given Resultant Stress in Spring Formula

GoMean Coil diameter given Shear Stress Correction Factor Formula

GoMean Coil Diameter given Deflection in Spring 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 = 𝜏 \cdot \frac{π \cdot d^{3}}{K \cdot 8 \cdot P}

D - Mean Coil Diameter of Spring?𝜏 - Shear Stress in Spring?d - Diameter of Spring Wire?K - Wahl Factor of Spring?P - Axial Spring Force?π - Archimedes' constant?

Mean Coil Diameter given Resultant Stress in Spring Example

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

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

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

35.9959 = 230 \cdot \frac{3.1416 \cdot 4^{3}}{1.162 \cdot 8 \cdot 138.2}

35.9959mm = 230N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{1.162 \cdot 8 \cdot 138.2N}

35.9959 = 230 \cdot \frac{3.1416 \cdot 4^{3}}{1.162 \cdot 8 \cdot 138.2}

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Mean Coil Diameter given Resultant Stress in Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = 230N/mm² \cdot \frac{π \cdot {4mm}^{3}}{1.162 \cdot 8 \cdot 138.2N}

Next Step Substitute values of Constants

∴

D = 230N/mm² \cdot \frac{3.1416 \cdot {4mm}^{3}}{1.162 \cdot 8 \cdot 138.2N}

Next Step Convert Units

∴

D = 2.3E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{1.162 \cdot 8 \cdot 138.2N}

Next Step Prepare to Evaluate

∴

D = 2.3E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{1.162 \cdot 8 \cdot 138.2}

Next Step Evaluate

∴

D = 0.0359959404452951m

Next Step Convert to Output's Unit

∴

D = 35.9959404452951mm

LAST Step Rounding Answer

∴

D = 35.9959mm

Mean Coil Diameter given Resultant Stress in Spring Formula Elements

Variables

Constants

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

Shear Stress in Spring

Shear Stress in Spring is the force tending to cause deformation of spring by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spring

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

Wahl Factor of Spring

Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wahl Factor of Spring

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Mean Coil Diameter of Spring

Go Mean Coil diameter given Shear Stress Correction Factor

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

Go Mean Coil Diameter given Deflection in Spring

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

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 Resultant Stress in Spring?

Mean Coil Diameter given Resultant Stress in Spring evaluator uses Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force) to evaluate the Mean Coil Diameter of Spring, Mean Coil Diameter given Resultant Stress in Spring formula is defined as a measure of the diameter of a coil spring under stress, providing a critical parameter in spring design and engineering applications where stress and deflections are crucial. Mean Coil Diameter of Spring is denoted by D symbol.

How to evaluate Mean Coil Diameter given Resultant Stress in Spring using this online evaluator? To use this online evaluator for Mean Coil Diameter given Resultant Stress in Spring, enter Shear Stress in Spring (𝜏), Diameter of Spring Wire (d), Wahl Factor of Spring (K) & Axial Spring Force (P) and hit the calculate button.

FAQs on Mean Coil Diameter given Resultant Stress in Spring

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

The formula of Mean Coil Diameter given Resultant Stress in Spring is expressed as Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force). Here is an example- 35995.94 = 230000000*(pi*0.004^3)/(1.162*8*138.2).

How to calculate Mean Coil Diameter given Resultant Stress in Spring?

With Shear Stress in Spring (𝜏), Diameter of Spring Wire (d), Wahl Factor of Spring (K) & Axial Spring Force (P) we can find Mean Coil Diameter given Resultant Stress in Spring using the formula - Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(Wahl Factor of Spring*8*Axial Spring Force). This formula also uses Archimedes' constant .

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=0.5*Diameter of Spring Wire/(Shear Stress Correction Factor of Spring-1)
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)
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 Resultant Stress in Spring be negative?

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

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

Mean Coil Diameter given Resultant Stress 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 Resultant Stress in Spring can be measured.

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Mean Coil Diameter given Resultant Stress in Spring Formula

​GoMean Coil diameter given Shear Stress Correction Factor Formula

​GoMean Coil Diameter given Deflection in Spring Formula

Mean Coil Diameter given Resultant Stress in Spring Example

Mean Coil Diameter given Resultant Stress in Spring Solution

Mean Coil Diameter given Resultant Stress 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 Resultant Stress in Spring?

FAQs on Mean Coil Diameter given Resultant Stress in Spring

Variable Name

GoMean Coil diameter given Shear Stress Correction Factor Formula

GoMean Coil Diameter given Deflection in Spring Formula