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Mean Coil Diameter of Spring given Torsional Stress Amplitude Formula

GoMean Diameter of Spring coil given Mean Stress on Spring Formula

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

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

D - Mean Coil Diameter of Spring?τ_a - Torsional Stress Amplitude in Spring?d - Diameter of Spring Wire?K_s - Shear Stress Correction Factor of Spring?P_a - Spring Force Amplitude?π - Archimedes' constant?

Mean Coil Diameter of Spring given Torsional Stress Amplitude Example

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Here is how the Mean Coil Diameter of Spring given Torsional Stress Amplitude equation looks like with Values.

Here is how the Mean Coil Diameter of Spring given Torsional Stress Amplitude equation looks like with Units.

Here is how the Mean Coil Diameter of Spring given Torsional Stress Amplitude equation looks like.

35.8216 = 77 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 50.2}

35.8216mm = 77N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 50.2N}

35.8216 = 77 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 50.2}

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Mean Coil Diameter of Spring given Torsional Stress Amplitude Solution

Follow our step by step solution on how to calculate Mean Coil Diameter of Spring given Torsional Stress Amplitude?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = 77N/mm² \cdot \frac{π \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 50.2N}

Next Step Substitute values of Constants

∴

D = 77N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 50.2N}

Next Step Convert Units

∴

D = 7.7E+7Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{8 \cdot 1.08 \cdot 50.2N}

Next Step Prepare to Evaluate

∴

D = 7.7E+7 \cdot \frac{3.1416 \cdot {0.004}^{3}}{8 \cdot 1.08 \cdot 50.2}

Next Step Evaluate

∴

D = 0.0358216399493742m

Next Step Convert to Output's Unit

∴

D = 35.8216399493742mm

LAST Step Rounding Answer

∴

D = 35.8216mm

Mean Coil Diameter of Spring given Torsional Stress Amplitude Formula Elements

Variables

Constants

Mean Coil Diameter of Spring

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

Torsional Stress Amplitude in Spring

Torsional Stress Amplitude in Spring is defined as the effect of stress concentration due to curvature in addition to direct shear stress in the spring.

Symbol: τ_a

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Stress Amplitude 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

Shear Stress Correction Factor of Spring

Shear Stress Correction Factor of Spring is for comparing the strain energies of the average shear stresses with those obtained from the equilibrium.

Symbol: K_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shear Stress Correction Factor of Spring

Spring Force Amplitude

The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.

Symbol: P_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Spring Force Amplitude

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 Diameter of Spring coil given Mean Stress on Spring

D = (σ m \cdot \frac{π \cdot d^{3}}{8 \cdot K s \cdot P m})

Other formulas in Design Against Fluctuating Load category

Go Mean Force on spring

P m = \frac{P min + P max}{2}

Go Maximum Force on Spring given Mean Force

P max = 2 \cdot P m - P min

Go Minimum Force on Spring given Mean Force

P min = 2 \cdot P m - P max

Go Force Amplitude of Spring

P a = .5 \cdot (P max - P min)

How to Evaluate Mean Coil Diameter of Spring given Torsional Stress Amplitude?

Mean Coil Diameter of Spring given Torsional Stress Amplitude evaluator uses Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude) to evaluate the Mean Coil Diameter of Spring, Mean Coil Diameter of Spring given Torsional Stress Amplitude formula is defined as a measure of the average diameter of a spring coil under torsional stress, which is essential in designing springs against fluctuating loads, ensuring the spring's reliability and performance. Mean Coil Diameter of Spring is denoted by D symbol.

How to evaluate Mean Coil Diameter of Spring given Torsional Stress Amplitude using this online evaluator? To use this online evaluator for Mean Coil Diameter of Spring given Torsional Stress Amplitude, enter Torsional Stress Amplitude in Spring (τ_a), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Spring Force Amplitude (P_a) and hit the calculate button.

FAQs on Mean Coil Diameter of Spring given Torsional Stress Amplitude

What is the formula to find Mean Coil Diameter of Spring given Torsional Stress Amplitude?

The formula of Mean Coil Diameter of Spring given Torsional Stress Amplitude is expressed as Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude). Here is an example- 35821.64 = 77000000*(pi*0.004004738^3)/(8*1.08*49.95129).

How to calculate Mean Coil Diameter of Spring given Torsional Stress Amplitude?

With Torsional Stress Amplitude in Spring (τ_a), Diameter of Spring Wire (d), Shear Stress Correction Factor of Spring (K_s) & Spring Force Amplitude (P_a) we can find Mean Coil Diameter of Spring given Torsional Stress Amplitude using the formula - Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude). 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=(Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force))

Can the Mean Coil Diameter of Spring given Torsional Stress Amplitude be negative?

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

Which unit is used to measure Mean Coil Diameter of Spring given Torsional Stress Amplitude?

Mean Coil Diameter of Spring given Torsional Stress Amplitude 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 of Spring given Torsional Stress Amplitude can be measured.

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Mean Coil Diameter of Spring given Torsional Stress Amplitude Formula

​GoMean Diameter of Spring coil given Mean Stress on Spring Formula

Mean Coil Diameter of Spring given Torsional Stress Amplitude Example

Mean Coil Diameter of Spring given Torsional Stress Amplitude Solution

Mean Coil Diameter of Spring given Torsional Stress Amplitude Formula Elements

Other Formulas to find Mean Coil Diameter of Spring

Other formulas in Design Against Fluctuating Load category

How to Evaluate Mean Coil Diameter of Spring given Torsional Stress Amplitude?

FAQs on Mean Coil Diameter of Spring given Torsional Stress Amplitude

Variable Name

GoMean Diameter of Spring coil given Mean Stress on Spring Formula