Stress Concentration Factor given Bending Stress in Spring Calculator

✖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.ⓘ Bending Stress in Torsion Spring [σb_t]			+10% -10%
✖Diameter of spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of spring wire [d]			+10% -10%
✖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 moment in spring [M_b]			+10% -10%

✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Stress Concentration Factor given Bending Stress in Spring [K]

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Formula

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Stress Concentration Factor given Bending Stress in Spring

Formula

`"K" = "σb"_{"t"}*(pi*"d"^3)/(32*"M"_{"b"})`

Example

`"1.162208"="800N/mm²"*(pi*("4mm")^3)/(32*"4325N*mm")`

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Stress Concentration Factor given Bending Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring)
K = σb_t*(pi*d^3)/(32*M_b)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 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.
Diameter of spring wire - (Measured in Meter) - Diameter of spring wire is the diameter of the wire of which a spring is made.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Torsion Spring: 800 Newton per Square Millimeter --> 800000000 Pascal (Check conversion here)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)
Bending moment in spring: 4325 Newton Millimeter --> 4.325 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = σb_t*(pi*d^3)/(32*M_b) --> 800000000*(pi*0.004^3)/(32*4.325)

Evaluating ... ...

K = 1.16220768687715

STEP 3: Convert Result to Output's Unit

1.16220768687715 --> No Conversion Required

FINAL ANSWER

1.16220768687715 ≈ 1.162208 <-- Wahl Factor of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Helical Torsion Springs » Stress Concentration Factor given Bending Stress in Spring

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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)

Stress Concentration Factor given Bending Stress in Spring Formula

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

Define Stress Concentration Factor?

Stress concentration factor is defined as the ratio of peak stress in the body to a reference stress, where the stress σmax is the maximum stress at the tip notch, and σnom nominal stress is the same stress at the same point without the notch.

How to Calculate Stress Concentration Factor given Bending Stress in Spring?

Stress Concentration Factor given Bending Stress in Spring calculator uses Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring) to calculate the Wahl Factor of Spring, The Stress Concentration Factor given Bending Stress in Spring formula is defined as the ratio of peak stress in the body to reference stress. Wahl Factor of Spring is denoted by K symbol.

How to calculate Stress Concentration Factor given Bending Stress in Spring using this online calculator? To use this online calculator for Stress Concentration Factor given Bending Stress in Spring, enter Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Bending moment in spring (M_b) and hit the calculate button. Here is how the Stress Concentration Factor given Bending Stress in Spring calculation can be explained with given input values -> 1.162208 = 800000000*(pi*0.004^3)/(32*4.325).

FAQ

What is Stress Concentration Factor given Bending Stress in Spring?

The Stress Concentration Factor given Bending Stress in Spring formula is defined as the ratio of peak stress in the body to reference stress and is represented as K = σb_t*(pi*d^3)/(32*M_b) or Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring). 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, Diameter of spring wire is the diameter of the wire of which a spring is made & 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.

How to calculate Stress Concentration Factor given Bending Stress in Spring?

The Stress Concentration Factor given Bending Stress in Spring formula is defined as the ratio of peak stress in the body to reference stress is calculated using Wahl Factor of Spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(32*Bending moment in spring). To calculate Stress Concentration Factor given Bending Stress in Spring, you need Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Bending moment in spring (M_b). With our tool, you need to enter the respective value for Bending Stress in Torsion Spring, Diameter of spring wire & Bending moment in spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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