Bending Stress in Spring Calculator

✖Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.ⓘ Wahl Factor of Spring [K]			+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%
✖Diameter of spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of spring wire [d]			+10% -10%

✖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 Spring [σb_t]

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Formula

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Bending Stress in Spring

Formula

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

Example

`"799.857N/mm²"="1.162"*32*"4325N*mm"/(pi*("4mm")^3)`

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Bending Stress in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

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)
Diameter of spring wire: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb_t = K*32*M_b/(pi*d^3) --> 1.162*32*4.325/(pi*0.004^3)

Evaluating ... ...

σb_t = 799857039.749784

STEP 3: Convert Result to Output's Unit

799857039.749784 Pascal -->799.857039749784 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

799.857039749784 ≈ 799.857 Newton per Square Millimeter <-- Bending Stress in Torsion Spring

(Calculation completed in 00.020 seconds)

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

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

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)

Bending Stress in Spring Formula

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

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

How to calculate Bending Stress in Spring using this online calculator? To use this online calculator for Bending Stress in Spring, enter Wahl Factor of Spring (K), Bending moment in spring (M_b) & Diameter of spring wire (d) and hit the calculate button. Here is how the Bending Stress in Spring calculation can be explained with given input values -> 0.0008 = 1.162*32*4.325/(pi*0.004^3).

FAQ

What is Bending Stress in Spring?

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

How to calculate Bending Stress in Spring?

The Bending Stress in Spring formula is defined as 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 is calculated using Bending Stress in Torsion Spring = Wahl Factor of Spring*32*Bending moment in spring/(pi*Diameter of spring wire^3). To calculate Bending Stress in Spring, you need Wahl Factor of Spring (K), Bending moment in spring (M_b) & Diameter of spring wire (d). With our tool, you need to enter the respective value for Wahl Factor of Spring, Bending moment in spring & Diameter of spring wire 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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