Bending Moment applied on Spring given Bending Stress 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%
✖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 applied on Spring given Bending Stress [M_b]

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Formula

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Bending Moment applied on Spring given Bending Stress

Formula

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

Example

`"4325.773N*mm"="800N/mm²"*(pi*("4mm")^3)/("1.162"*32)`

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Bending Moment applied on Spring given Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

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)
Wahl Factor of Spring: 1.162 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = σb_t*(pi*d^3)/(K*32) --> 800000000*(pi*0.004^3)/(1.162*32)

Evaluating ... ...

M_b = 4.32577301699111

STEP 3: Convert Result to Output's Unit

4.32577301699111 Newton Meter -->4325.77301699111 Newton Millimeter (Check conversion here)

FINAL ANSWER

4325.77301699111 ≈ 4325.773 Newton Millimeter <-- Bending moment in spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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 Moment applied on Spring given Bending Stress Formula

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

Define Bending Moment?

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Moment applied on Spring given Bending Stress?

Bending Moment applied on Spring given Bending Stress calculator uses Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32) to calculate the Bending moment in spring, The Bending Moment applied on Spring given Bending Stress formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending moment in spring is denoted by M_b symbol.

How to calculate Bending Moment applied on Spring given Bending Stress using this online calculator? To use this online calculator for Bending Moment applied on Spring given Bending Stress, enter Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Wahl Factor of Spring (K) and hit the calculate button. Here is how the Bending Moment applied on Spring given Bending Stress calculation can be explained with given input values -> 4.3E+6 = 800000000*(pi*0.004^3)/(1.162*32).

FAQ

What is Bending Moment applied on Spring given Bending Stress?

The Bending Moment applied on Spring given Bending Stress formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M_b = σb_t*(pi*d^3)/(K*32) or Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32). 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 & Wahl Factor of Spring is simply a measure of the degree to which external stress is amplified at the curvature of the spring coil.

How to calculate Bending Moment applied on Spring given Bending Stress?

The Bending Moment applied on Spring given Bending Stress formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending moment in spring = Bending Stress in Torsion Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*32). To calculate Bending Moment applied on Spring given Bending Stress, you need Bending Stress in Torsion Spring (σb_t), Diameter of spring wire (d) & Wahl Factor of Spring (K). With our tool, you need to enter the respective value for Bending Stress in Torsion Spring, Diameter of spring wire & Wahl Factor of 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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