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Diameter of Spring Wire from Load Stress Equation Formula

GoDiameter of Spring Wire given Spring Index Formula

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Diameter of spring wire is the distance across the circular cross-section of the wire used in a helical spring, affecting its overall structure and functionality. Check FAQs

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

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

Diameter of Spring Wire from Load Stress Equation Example

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Here is how the Diameter of Spring Wire from Load Stress Equation equation looks like with Values.

Here is how the Diameter of Spring Wire from Load Stress Equation equation looks like with Units.

Here is how the Diameter of Spring Wire from Load Stress Equation equation looks like.

4 = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2 \cdot 9}{3.1416 \cdot 230}}

4mm = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2N \cdot 9}{3.1416 \cdot 230N/mm²}}

4 = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2 \cdot 9}{3.1416 \cdot 230}}

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Diameter of Spring Wire from Load Stress Equation Solution

Follow our step by step solution on how to calculate Diameter of Spring Wire from Load Stress Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2N \cdot 9}{π \cdot 230N/mm²}}

Next Step Substitute values of Constants

∴

d = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2N \cdot 9}{3.1416 \cdot 230N/mm²}}

Next Step Convert Units

∴

d = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2N \cdot 9}{3.1416 \cdot 2.3E+8Pa}}

Next Step Prepare to Evaluate

∴

d = \sqrt{1.1619 \cdot \frac{8 \cdot 138.2 \cdot 9}{3.1416 \cdot 2.3E+8}}

Next Step Evaluate

∴

d = 0.00400000005750157m

Next Step Convert to Output's Unit

∴

d = 4.00000005750157mm

LAST Step Rounding Answer

∴

d = 4mm

Diameter of Spring Wire from Load Stress Equation Formula Elements

Variables

Constants

Functions

Diameter of spring wire

Diameter of spring wire is the distance across the circular cross-section of the wire used in a helical spring, affecting its overall structure and functionality.

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 a dimensionless parameter used to describe the geometry of helical springs, characterizing the spring's shape and size.

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 exerted by a helical spring when it is compressed or stretched along its axis, affecting its shape and size.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Spring Force

Spring Index

Spring Index is a measure of the coiling of a helical spring, defining the ratio of the spring's diameter to its pitch.

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 stress that occurs in a helical spring due to twisting or deformation of the spring's coils.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Spring

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of spring wire

Go Diameter of Spring Wire given Spring Index

d = \frac{D}{C}

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 Spring Index

C = \frac{D}{d}

How to Evaluate Diameter of Spring Wire from Load Stress Equation?

Diameter of Spring Wire from Load Stress Equation evaluator uses Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring)) to evaluate the Diameter of spring wire, Diameter of Spring Wire from Load Stress Equation formula is defined as a measure of the diameter of a helical spring wire under load stress, taking into account the spring's material properties and load conditions, providing a critical parameter for spring design and engineering applications. Diameter of spring wire is denoted by d symbol.

How to evaluate Diameter of Spring Wire from Load Stress Equation using this online evaluator? To use this online evaluator for Diameter of Spring Wire from Load Stress Equation, enter Wahl Factor of Spring (K), Axial Spring Force (P), Spring Index (C) & Shear Stress in Spring (𝜏) and hit the calculate button.

FAQs on Diameter of Spring Wire from Load Stress Equation

What is the formula to find Diameter of Spring Wire from Load Stress Equation?

The formula of Diameter of Spring Wire from Load Stress Equation is expressed as Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring)). Here is an example- 4000.002 = sqrt(1.161869*(8*138.2*9)/(pi*230000000)).

How to calculate Diameter of Spring Wire from Load Stress Equation?

With Wahl Factor of Spring (K), Axial Spring Force (P), Spring Index (C) & Shear Stress in Spring (𝜏) we can find Diameter of Spring Wire from Load Stress Equation using the formula - Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of spring wire?

Here are the different ways to Calculate Diameter of spring wire-

Diameter of spring wire=Mean Coil Diameter of Spring/Spring Index

Can the Diameter of Spring Wire from Load Stress Equation be negative?

No, the Diameter of Spring Wire from Load Stress Equation, measured in Length cannot be negative.

Which unit is used to measure Diameter of Spring Wire from Load Stress Equation?

Diameter of Spring Wire from Load Stress Equation is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Spring Wire from Load Stress Equation can be measured.

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Diameter of Spring Wire from Load Stress Equation Formula

​GoDiameter of Spring Wire given Spring Index Formula

Diameter of Spring Wire from Load Stress Equation Example

Diameter of Spring Wire from Load Stress Equation Solution

Diameter of Spring Wire from Load Stress Equation Formula Elements

Other Formulas to find Diameter of spring wire

Other formulas in Geometry of Helical Springs category

How to Evaluate Diameter of Spring Wire from Load Stress Equation?

FAQs on Diameter of Spring Wire from Load Stress Equation

Variable Name

GoDiameter of Spring Wire given Spring Index Formula