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Mean Diameter of Spring coil given Mean Stress on Spring Formula

GoMean Coil Diameter of Spring given Torsional Stress Amplitude 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 = (σ m \cdot \frac{π \cdot d^{3}}{8 \cdot K s \cdot P m})

D - Mean Coil Diameter of Spring?σ_m - Mean Shear Stress in Spring?d - Diameter of Spring Wire?K_s - Shear Stress Correction Factor of Spring?P_m - Mean Spring Force?π - Archimedes' constant?

Mean Diameter of Spring coil given Mean Stress on Spring Example

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Here is how the Mean Diameter of Spring coil given Mean Stress on Spring equation looks like with Values.

Here is how the Mean Diameter of Spring coil given Mean Stress on Spring equation looks like with Units.

Here is how the Mean Diameter of Spring coil given Mean Stress on Spring equation looks like.

36 = (156 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 101.2})

36mm = (156N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 101.2N})

36 = (156 \cdot \frac{3.1416 \cdot {4.0047}^{3}}{8 \cdot 1.08 \cdot 101.2})

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Mean Diameter of Spring coil given Mean Stress on Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = (156N/mm² \cdot \frac{π \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 101.2N})

Next Step Substitute values of Constants

∴

D = (156N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{3}}{8 \cdot 1.08 \cdot 101.2N})

Next Step Convert Units

∴

D = (1.6E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{3}}{8 \cdot 1.08 \cdot 101.2N})

Next Step Prepare to Evaluate

∴

D = (1.6E+8 \cdot \frac{3.1416 \cdot {0.004}^{3}}{8 \cdot 1.08 \cdot 101.2})

Next Step Evaluate

∴

D = 0.0360000034355961m

Next Step Convert to Output's Unit

∴

D = 36.0000034355961mm

LAST Step Rounding Answer

∴

D = 36mm

Mean Diameter of Spring coil given Mean Stress on Spring 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

Mean Shear Stress in Spring

Mean Shear Stress in Spring is defined as the amount of mean stress acting when spring is subjected to fluctuating stress.

Symbol: σ_m

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Mean 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

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

Mean Spring Force

Mean Spring Force is defined as the average of the maximum force and the minimum force of the fluctuating forces on the spring or by the spring.

Symbol: P_m

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Mean 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 of Spring given Torsional Stress Amplitude

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

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 Diameter of Spring coil given Mean Stress on Spring?

Mean Diameter of Spring coil given Mean Stress on Spring evaluator uses 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)) to evaluate the Mean Coil Diameter of Spring, Mean Diameter of Spring coil given Mean Stress on Spring formula is defined as a measure of the diameter of a spring coil under a given mean stress, which is essential in designing springs that can withstand fluctuating loads, ensuring the spring's reliability and performance. Mean Coil Diameter of Spring is denoted by D symbol.

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

FAQs on Mean Diameter of Spring coil given Mean Stress on Spring

What is the formula to find Mean Diameter of Spring coil given Mean Stress on Spring?

The formula of Mean Diameter of Spring coil given Mean Stress on Spring is expressed as 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)). Here is an example- 35872.38 = (156000000*(pi*0.004004738^3)/(8*1.08*101.2)).

How to calculate Mean Diameter of Spring coil given Mean Stress on Spring?

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

Can the Mean Diameter of Spring coil given Mean Stress on Spring be negative?

No, the Mean Diameter of Spring coil given Mean Stress on Spring, measured in Length cannot be negative.

Which unit is used to measure Mean Diameter of Spring coil given Mean Stress on Spring?

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

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Mean Diameter of Spring coil given Mean Stress on Spring Formula

​GoMean Coil Diameter of Spring given Torsional Stress Amplitude Formula

Mean Diameter of Spring coil given Mean Stress on Spring Example

Mean Diameter of Spring coil given Mean Stress on Spring Solution

Mean Diameter of Spring coil given Mean Stress on Spring Formula Elements

Other Formulas to find Mean Coil Diameter of Spring

Other formulas in Design Against Fluctuating Load category

How to Evaluate Mean Diameter of Spring coil given Mean Stress on Spring?

FAQs on Mean Diameter of Spring coil given Mean Stress on Spring

Variable Name

GoMean Coil Diameter of Spring given Torsional Stress Amplitude Formula