Diameter of Spring Wire given Bending Stress in Spring Calculator

✖Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.ⓘ Wahl Factor of Spring [K]			+10% -10%
✖Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis.ⓘ Bending moment in spring [M_b]			+10% -10%
✖Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance.ⓘ Bending Stress in Torsion Spring [σb_t]			+10% -10%

✖Diameter of spring wire is the diameter of the wire used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity.ⓘ Diameter of Spring Wire given Bending Stress in Spring [d]

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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*M_b/(pi*σb_t))^(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 used in a helical torsion spring, which affects the spring's stiffness and load-carrying capacity.
Wahl Factor of Spring - Wahl Factor of Spring is a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior.
Bending moment in spring - (Measured in Newton Meter) - Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis.
Bending Stress in Torsion Spring - (Measured in Pascal) - Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance.

STEP 1: Convert Input(s) to Base Unit

Wahl Factor of Spring: 1.162208 --> No Conversion Required
Bending moment in spring: 4325 Newton Millimeter --> 4.325 Newton Meter (Check conversion here)
Bending Stress in Torsion Spring: 800.0002 Newton per Square Millimeter --> 800000200 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (K*32*M_b/(pi*σb_t))^(1/3) --> (1.162208*32*4.325/(pi*800000200))^(1/3)

Evaluating ... ...

d = 0.00400000002589431

STEP 3: Convert Result to Output's Unit

0.00400000002589431 Meter -->4.00000002589431 Millimeter (Check conversion here)

FINAL ANSWER

4.00000002589431 ≈ 4 Millimeter <-- Diameter of spring wire

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Helical Torsion Springs Calculators

Diameter of Spring Wire given Bending Stress in Spring

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go

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

Define a Spring Wire?

A spring wire is a type of wire specifically designed for making springs and other components that require elasticity and resilience. It is typically made from high-strength materials like steel, stainless steel, or alloy, which allow the wire to undergo repeated bending, twisting, or stretching without permanent deformation. The wire's diameter, material composition, and heat treatment process determine its mechanical properties, such as tensile strength and fatigue resistance. Spring wire is commonly used in manufacturing compression springs, extension springs, torsion springs, and other mechanical devices that rely on elasticity for proper function.

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, Diameter of Spring Wire given Bending Stress in Spring formula is defined as a measure of the diameter of a helical spring wire, which is a critical parameter in spring design, taking into account the bending stress that the spring can withstand, and is essential in determining the spring's overall performance and reliability. 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 (M_b) & Bending Stress in Torsion Spring (σb_t) 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 -> 4000 = (1.162208*32*4.325/(pi*800000200))^(1/3).

FAQ

What is Diameter of Spring Wire given Bending Stress in Spring?

Diameter of Spring Wire given Bending Stress in Spring formula is defined as a measure of the diameter of a helical spring wire, which is a critical parameter in spring design, taking into account the bending stress that the spring can withstand, and is essential in determining the spring's overall performance and reliability and is represented as d = (K*32*M_b/(pi*σb_t))^(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 a dimensionless parameter that characterizes the geometry and stiffness of helical torsion springs, influencing their mechanical behavior, Bending moment in spring is the rotational force that causes the helical torsion spring to twist or deform around its axis & Bending Stress in Torsion Spring is the stress caused by twisting force in a helical torsion spring, affecting its structural integrity and performance.

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

Diameter of Spring Wire given Bending Stress in Spring formula is defined as a measure of the diameter of a helical spring wire, which is a critical parameter in spring design, taking into account the bending stress that the spring can withstand, and is essential in determining the spring's overall performance and reliability 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 (M_b) & Bending Stress in Torsion Spring (σb_t). 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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