Diameter of Spring Wire from Load Stress Equation Calculator

✖Wahl Factor of Spring is a dimensionless parameter used to describe the geometry of helical springs, characterizing the spring's shape and size.ⓘ Wahl Factor of Spring [K]			+10% -10%
✖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.ⓘ Axial Spring Force [P]			+10% -10%
✖Spring Index is a measure of the coiling of a helical spring, defining the ratio of the spring's diameter to its pitch.ⓘ Spring Index [C]			+10% -10%
✖Shear Stress in Spring is the stress that occurs in a helical spring due to twisting or deformation of the spring's coils.ⓘ Shear Stress in Spring [𝜏]			+10% -10%

✖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.ⓘ Diameter of Spring Wire from Load Stress Equation [d]

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Diameter of Spring Wire from Load Stress Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring))
d = sqrt(K*(8*P*C)/(pi*𝜏))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Diameter of spring wire - (Measured in Meter) - 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.
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.
Axial Spring Force - (Measured in Newton) - 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.
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.
Shear Stress in Spring - (Measured in Pascal) - Shear Stress in Spring is the stress that occurs in a helical spring due to twisting or deformation of the spring's coils.

STEP 1: Convert Input(s) to Base Unit

Wahl Factor of Spring: 1.161869 --> No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
Spring Index: 9 --> No Conversion Required
Shear Stress in Spring: 230 Newton per Square Millimeter --> 230000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt(K*(8*P*C)/(pi*𝜏)) --> sqrt(1.161869*(8*138.2*9)/(pi*230000000))

Evaluating ... ...

d = 0.00400000005750157

STEP 3: Convert Result to Output's Unit

0.00400000005750157 Meter -->4.00000005750157 Millimeter (Check conversion here)

FINAL ANSWER

4.00000005750157 ≈ 4 Millimeter <-- Diameter of spring wire

(Calculation completed in 00.143 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Geometry of Helical Springs Calculators

Mean Coil Diameter of Spring

LaTeX Go Mean Coil Diameter of Spring = (Outer Diameter of Spring Coil+Inner Diameter of Spring Coil)/2

Inside Diameter of Spring Coil given Mean Coil Diameter

LaTeX Go Inner Diameter of Spring Coil = 2*Mean Coil Diameter of Spring-Outer Diameter of Spring Coil

Outside Diameter of Spring given Mean Coil Diameter

LaTeX Go Outer Diameter of Spring Coil = 2*Mean Coil Diameter of Spring-Inner Diameter of Spring Coil

Spring Index

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

Diameter of Spring Wire from Load Stress Equation Formula

LaTeX Go

Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring))
d = sqrt(K*(8*P*C)/(pi*𝜏))

Define Spring Index?

The spring index is the relationship between the mean diameter and wire diameter. Springs with small indexes increase tooling wear and are more likely to require additional processing steps to ensure adequate life. Large index springs often require additional tolerance on both diameter and length.

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

Diameter of Spring Wire from Load Stress Equation calculator uses Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring)) to calculate 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 calculate Diameter of Spring Wire from Load Stress Equation using this online calculator? To use this online calculator 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. Here is how the Diameter of Spring Wire from Load Stress Equation calculation can be explained with given input values -> 4000.002 = sqrt(1.161869*(8*138.2*9)/(pi*230000000)).

FAQ

What is Diameter of Spring Wire from Load Stress Equation?

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 and is represented as d = sqrt(K*(8*P*C)/(pi*𝜏)) or Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring)). Wahl Factor of Spring is a dimensionless parameter used to describe the geometry of helical springs, characterizing the spring's shape and size, 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, Spring Index is a measure of the coiling of a helical spring, defining the ratio of the spring's diameter to its pitch & Shear Stress in Spring is the stress that occurs in a helical spring due to twisting or deformation of the spring's coils.

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

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 is calculated using Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring)). To calculate Diameter of Spring Wire from Load Stress Equation, you need Wahl Factor of Spring (K), Axial Spring Force (P), Spring Index (C) & Shear Stress in Spring (𝜏). With our tool, you need to enter the respective value for Wahl Factor of Spring, Axial Spring Force, Spring Index & Shear Stress in Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of spring wire?

In this formula, Diameter of spring wire uses Wahl Factor of Spring, Axial Spring Force, Spring Index & Shear Stress in Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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