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Spring Index given Mean Stress on spring Formula

GoSpring Index given Torsional Stress Amplitude Formula

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Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire. Check FAQs

C = σ m \cdot \frac{π \cdot d^{2}}{8 \cdot K s \cdot P m}

C - Spring Index?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?

Spring Index given Mean Stress on spring Example

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Here is how the Spring Index given Mean Stress on spring equation looks like with Values.

Here is how the Spring Index given Mean Stress on spring equation looks like with Units.

Here is how the Spring Index given Mean Stress on spring equation looks like.

8.9894 = 156 \cdot \frac{3.1416 \cdot {4.0047}^{2}}{8 \cdot 1.08 \cdot 101.2}

8.9894 = 156N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{2}}{8 \cdot 1.08 \cdot 101.2N}

8.9894 = 156 \cdot \frac{3.1416 \cdot {4.0047}^{2}}{8 \cdot 1.08 \cdot 101.2}

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Spring Index given Mean Stress on spring Solution

Follow our step by step solution on how to calculate Spring Index given Mean Stress on spring?

FIRST Step Consider the formula

C = σ m \cdot \frac{π \cdot d^{2}}{8 \cdot K s \cdot P m}

Next Step Substitute values of Variables

∴

C = 156N/mm² \cdot \frac{π \cdot {4.0047mm}^{2}}{8 \cdot 1.08 \cdot 101.2N}

Next Step Substitute values of Constants

∴

C = 156N/mm² \cdot \frac{3.1416 \cdot {4.0047mm}^{2}}{8 \cdot 1.08 \cdot 101.2N}

Next Step Convert Units

∴

C = 1.6E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{2}}{8 \cdot 1.08 \cdot 101.2N}

Next Step Prepare to Evaluate

∴

C = 1.6E+8 \cdot \frac{3.1416 \cdot {0.004}^{2}}{8 \cdot 1.08 \cdot 101.2}

Next Step Evaluate

∴

C = 8.9893529703057

LAST Step Rounding Answer

∴

C = 8.9894

Spring Index given Mean Stress on spring Formula Elements

Variables

Constants

Spring Index

Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spring Index

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 Spring Index

Go Spring Index given Torsional Stress Amplitude

C = τ a \cdot \frac{π \cdot d^{2}}{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 Spring Index given Mean Stress on spring?

Spring Index given Mean Stress on spring evaluator uses Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force) to evaluate the Spring Index, Spring Index given Mean Stress on spring formula is defined as a dimensionless parameter that characterizes the spring's stiffness and strength, providing a measure of the spring's ability to withstand fluctuating loads, and is used in design calculations to ensure the spring's reliability and performance under varying stress conditions. Spring Index is denoted by C symbol.

How to evaluate Spring Index given Mean Stress on spring using this online evaluator? To use this online evaluator for Spring Index 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 Spring Index given Mean Stress on spring

What is the formula to find Spring Index given Mean Stress on spring?

The formula of Spring Index given Mean Stress on spring is expressed as Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force). Here is an example- 8.968095 = 156000000*(pi*0.004004738^2)/(8*1.08*101.2).

How to calculate Spring Index 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 Spring Index given Mean Stress on spring using the formula - Spring Index = Mean Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force). This formula also uses Archimedes' constant .

What are the other ways to Calculate Spring Index?

Here are the different ways to Calculate Spring Index-

Spring Index=Torsional Stress Amplitude in Spring*(pi*Diameter of Spring Wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)

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Spring Index given Mean Stress on spring Formula

​GoSpring Index given Torsional Stress Amplitude Formula

Spring Index given Mean Stress on spring Example

Spring Index given Mean Stress on spring Solution

Spring Index given Mean Stress on spring Formula Elements

Other Formulas to find Spring Index

Other formulas in Design Against Fluctuating Load category

How to Evaluate Spring Index given Mean Stress on spring?

FAQs on Spring Index given Mean Stress on spring

Variable Name

GoSpring Index given Torsional Stress Amplitude Formula