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Spring Index given Shear stress in Spring 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 = 𝜏 \cdot \frac{π \cdot d^{2}}{K \cdot 8 \cdot P}

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

Spring Index given Shear stress in Spring Example

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Here is how the Spring Index given Shear stress in Spring equation looks like with Values.

Here is how the Spring Index given Shear stress in Spring equation looks like with Units.

Here is how the Spring Index given Shear stress in Spring equation looks like.

8.999 = 230 \cdot \frac{3.1416 \cdot 4^{2}}{1.162 \cdot 8 \cdot 138.2}

8.999 = 230N/mm² \cdot \frac{3.1416 \cdot {4mm}^{2}}{1.162 \cdot 8 \cdot 138.2N}

8.999 = 230 \cdot \frac{3.1416 \cdot 4^{2}}{1.162 \cdot 8 \cdot 138.2}

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Spring Index given Shear stress in Spring Solution

Follow our step by step solution on how to calculate Spring Index given Shear stress in Spring?

FIRST Step Consider the formula

C = 𝜏 \cdot \frac{π \cdot d^{2}}{K \cdot 8 \cdot P}

Next Step Substitute values of Variables

∴

C = 230N/mm² \cdot \frac{π \cdot {4mm}^{2}}{1.162 \cdot 8 \cdot 138.2N}

Next Step Substitute values of Constants

∴

C = 230N/mm² \cdot \frac{3.1416 \cdot {4mm}^{2}}{1.162 \cdot 8 \cdot 138.2N}

Next Step Convert Units

∴

C = 2.3E+8Pa \cdot \frac{3.1416 \cdot {0.004m}^{2}}{1.162 \cdot 8 \cdot 138.2N}

Next Step Prepare to Evaluate

∴

C = 2.3E+8 \cdot \frac{3.1416 \cdot {0.004}^{2}}{1.162 \cdot 8 \cdot 138.2}

Next Step Evaluate

∴

C = 8.99898511132376

LAST Step Rounding Answer

∴

C = 8.999

Spring Index given Shear stress in 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

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 Spring Index

Go Spring Index

C = \frac{D}{d}

Other formulas in Geometry of Helical Springs category

Go Mean Coil Diameter of Spring

D = \frac{D o + D i}{2}

Go Inside Diameter of Spring Coil given Mean Coil Diameter

D i = 2 \cdot D - D o

Go Outside Diameter of Spring given Mean Coil Diameter

D o = 2 \cdot D - D i

Go Diameter of Spring Wire given Spring Index

d = \frac{D}{C}

How to Evaluate Spring Index given Shear stress in Spring?

Spring Index given Shear stress in Spring evaluator uses Spring Index = Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(Wahl Factor of Spring*8*Axial Spring Force) to evaluate the Spring Index, Spring Index given Shear stress in Spring formula is defined as a dimensionless quantity that characterizes the coiling of a helical spring, providing a measure of the spring's stiffness and ability to store energy, particularly in relation to its shear stress. Spring Index is denoted by C symbol.

How to evaluate Spring Index given Shear stress in Spring using this online evaluator? To use this online evaluator for Spring Index given Shear 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 Spring Index given Shear stress in Spring

What is the formula to find Spring Index given Shear stress in Spring?

The formula of Spring Index given Shear stress in Spring is expressed as Spring Index = Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(Wahl Factor of Spring*8*Axial Spring Force). Here is an example- 8.999992 = 230000000*(pi*0.004^2)/(1.161869*8*138.2).

How to calculate Spring Index given Shear 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 Spring Index given Shear stress in Spring using the formula - Spring Index = Shear Stress in Spring*(pi*Diameter of Spring Wire^2)/(Wahl Factor of Spring*8*Axial 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=Mean Coil Diameter of Spring/Diameter of spring wire

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Spring Index given Shear stress in Spring Formula

​GoSpring Index Formula

Spring Index given Shear stress in Spring Example

Spring Index given Shear stress in Spring Solution

Spring Index given Shear stress in Spring Formula Elements

Other Formulas to find Spring Index

Other formulas in Geometry of Helical Springs category

How to Evaluate Spring Index given Shear stress in Spring?

FAQs on Spring Index given Shear stress in Spring

Variable Name

GoSpring Index Formula