Diameter of Spring Wire given Bending Stress in Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)
d = (K*32*Mb/(pi*σbt))^(1/3)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Bending moment in spring - (Measured in Newton Meter) - Bending moment in spring is the reaction induced in the spring element when an external force or moment is applied to the element, causing the element to bend.
Bending Stress in Torsion Spring - (Measured in Pascal) - Bending Stress in Torsion Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend.
STEP 1: Convert Input(s) to Base Unit
Wahl Factor of Spring: 1.162 --> No Conversion Required
Bending moment in spring: 4325 Newton Millimeter --> 4.325 Newton Meter (Check conversion here)
Bending Stress in Torsion Spring: 800 Newton per Square Millimeter --> 800000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (K*32*Mb/(pi*σbt))^(1/3) --> (1.162*32*4.325/(pi*800000000))^(1/3)
Evaluating ... ...
d = 0.0039997617187221
STEP 3: Convert Result to Output's Unit
0.0039997617187221 Meter -->3.9997617187221 Millimeter (Check conversion here)
FINAL ANSWER
3.9997617187221 3.999762 Millimeter <-- Diameter of spring wire
(Calculation completed in 00.004 seconds)

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9 Helical Torsion Springs Calculators

Diameter of Spring Wire given Stiffness
Go Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4)
Number of Coils of Spring given Stiffness of Helical Torsion Spring
Go Active Coils in Helical Torsion Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Stiffness of helical torsion spring)
Modulus of Elasticity of Spring given Stiffness
Go Modulus of Elasticity of Spring = Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/(Diameter of spring wire^4)
Mean Coil Diameter of Spring given Stiffness
Go Mean Coil Diameter of Spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Active Coils in Helical Torsion Spring*Stiffness of helical torsion spring)
Stiffness of Helical Torsion Spring
Go Stiffness of helical torsion spring = Modulus of Elasticity of Spring*Diameter of spring wire^4/(64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring)
Diameter of Spring Wire given Bending Stress in Spring
Go Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)
Stress Concentration Factor given Bending Stress in Spring
Go Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring)
Bending Moment applied on Spring given Bending Stress
Go Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32)
Bending Stress in Spring
Go Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3)

Diameter of Spring Wire given Bending Stress in Spring Formula

Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3)
d = (K*32*Mb/(pi*σbt))^(1/3)

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Diameter of Spring Wire given Bending Stress in Spring?

Diameter of Spring Wire given Bending Stress in Spring calculator uses Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3) to calculate the Diameter of spring wire, The Diameter of Spring Wire given Bending Stress in Spring formula is defined as 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 given Bending Stress in Spring using this online calculator? To use this online calculator for Diameter of Spring Wire given Bending Stress in Spring, enter Wahl Factor of Spring (K), Bending moment in spring (Mb) & Bending Stress in Torsion Spring (σbt) and hit the calculate button. Here is how the Diameter of Spring Wire given Bending Stress in Spring calculation can be explained with given input values -> 3999.762 = (1.162*32*4.325/(pi*800000000))^(1/3).

FAQ

What is Diameter of Spring Wire given Bending Stress in Spring?
The Diameter of Spring Wire given Bending Stress in Spring formula is defined as the thickness of the wire by which the spring coil is made and is represented as d = (K*32*Mb/(pi*σbt))^(1/3) or Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3). Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil, Bending moment in spring is the reaction induced in the spring element when an external force or moment is applied to the element, causing the element to bend & Bending Stress in Torsion Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend.
How to calculate Diameter of Spring Wire given Bending Stress in Spring?
The Diameter of Spring Wire given Bending Stress in Spring formula is defined as the thickness of the wire by which the spring coil is made is calculated using Diameter of spring wire = (Wahl Factor of Spring*32*Bending moment in spring/(pi*Bending Stress in Torsion Spring))^(1/3). To calculate Diameter of Spring Wire given Bending Stress in Spring, you need Wahl Factor of Spring (K), Bending moment in spring (Mb) & Bending Stress in Torsion Spring (σbt). With our tool, you need to enter the respective value for Wahl Factor of Spring, Bending moment in spring & Bending Stress in Torsion 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, Bending moment in spring & Bending Stress in Torsion Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of spring wire = (Stiffness of helical torsion spring*64*Mean Coil Diameter of Spring*Active Coils in Helical Torsion Spring/Modulus of Elasticity of Spring)^(1/4)
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