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 diameter of the wire of which a spring is made.
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.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
Spring Index - Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire.
Shear Stress in Spring - (Measured in Pascal) - 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.
STEP 1: Convert Input(s) to Base Unit
Wahl Factor of Spring: 1.162 --> 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(1.162*(8*138.2*9)/(pi*230000000))
Evaluating ... ...
d = 0.00400022554989279
STEP 3: Convert Result to Output's Unit
0.00400022554989279 Meter -->4.00022554989279 Millimeter (Check conversion here)
FINAL ANSWER
4.00022554989279 4.000226 Millimeter <-- Diameter of spring wire
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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9 Geometry of Helical Springs Calculators

Diameter of Spring Wire from Load Stress Equation
Go Diameter of spring wire = sqrt(Wahl Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Shear Stress in Spring))
Spring Index given Shear stress in Spring
Go Spring Index = Shear Stress in Spring*(pi*Diameter of spring wire^2)/(Wahl Factor of Spring*8*Axial Spring Force)
Mean Coil Diameter of Spring
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
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
Go Outer Diameter of Spring Coil = 2*Mean Coil Diameter of Spring-Inner Diameter of Spring Coil
Total Number of Coils given Solid Length of Spring
Go Total Coils in Spring = Solid Length of Spring/Diameter of spring wire
Diameter of Spring Wire given Spring Index
Go Diameter of spring wire = Mean Coil Diameter of Spring/Spring Index
Mean Coil Diameter given Spring Index
Go Mean Coil Diameter of Spring = Spring Index*Diameter of spring wire
Spring Index
Go Spring Index = Mean Coil Diameter of Spring/Diameter of spring wire

Diameter of Spring Wire from Load Stress Equation Formula

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, The Diameter of Spring Wire from Load Stress Equation formula is defined as the diameter or the thickness of the wire by which the spring coil is made. 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 -> 4000.226 = sqrt(1.162*(8*138.2*9)/(pi*230000000)).

FAQ

What is Diameter of Spring Wire from Load Stress Equation?
The Diameter of Spring Wire from Load Stress Equation formula is defined as the diameter or the thickness of the wire by which the spring coil is made 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 simply a measure of the degree to which external stress is amplified at the curvature of the spring coil, Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction, Spring Index is defined as the ratio of mean coil diameter of the spring to the diameter of the spring Wire & 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.
How to calculate Diameter of Spring Wire from Load Stress Equation?
The Diameter of Spring Wire from Load Stress Equation formula is defined as the diameter or the thickness of the wire by which the spring coil is made 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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