Bending Moment due to Force given Bending Stress induced in Spring Calculator

✖Bending Stress in Spiral 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 Spiral Spring [σ_b]			+10% -10%
✖The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured.ⓘ Width of Strip of Spiral Spring [b]			+10% -10%
✖The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.ⓘ Thickness of Strip of Spring [t]			+10% -10%

✖Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment due to Force given Bending Stress induced in Spring [M]

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Formula

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Bending Moment due to Force given Bending Stress induced in Spring

Formula

`"M" = "σ"_{"b"}*"b"*"t"^2/12`

Example

`"1200N*mm"="800N/mm²"*"11.52mm"*("1.25mm")^2/12`

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Bending Moment due to Force given Bending Stress induced in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
M = σ_b*b*t^2/12
This formula uses 4 Variables

Variables Used

Bending moment in spiral spring - (Measured in Newton Meter) - Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.
Bending Stress in Spiral Spring - (Measured in Pascal) - Bending Stress in Spiral Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend.
Width of Strip of Spiral Spring - (Measured in Meter) - The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured.
Thickness of Strip of Spring - (Measured in Meter) - The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Spiral Spring: 800 Newton per Square Millimeter --> 800000000 Pascal (Check conversion here)
Width of Strip of Spiral Spring: 11.52 Millimeter --> 0.01152 Meter (Check conversion here)
Thickness of Strip of Spring: 1.25 Millimeter --> 0.00125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = σ_b*b*t^2/12 --> 800000000*0.01152*0.00125^2/12

Evaluating ... ...

M = 1.2

STEP 3: Convert Result to Output's Unit

1.2 Newton Meter -->1200 Newton Millimeter (Check conversion here)

FINAL ANSWER

1200 Newton Millimeter <-- Bending moment in spiral spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 8 Bending Moment in Spiral Spring Calculators

Bending Moment due to Force given Deflection of one End of Spring

Go Bending moment in spiral spring = (Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)/(12*Length of Spiral Spring Strip*Distance of CG of Spiral Spring)

Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring

Go Distance of CG of Spiral Spring = Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Bending moment in spiral spring*Length of Spiral Spring Strip)

Deflection of one End of Spring with Respect to Other End

Go Deflection of Spiral Spring = 12*Bending moment in spiral spring*Length of Spiral Spring Strip*Distance of CG of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

Bending Moment given Strain Energy Stored in Spring

Go Bending moment in spiral spring = sqrt(Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Length of Spiral Spring Strip))

Bending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum

Go Bending moment in spiral spring = Angle of rotation of arbor*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Length of Spiral Spring Strip)

Bending Moment due to Force given Bending Stress induced in Spring

Go Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12

Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force

Go Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring

Bending Moment due to Force

Go Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring

Bending Moment due to Force given Bending Stress induced in Spring Formula

Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
M = σ_b*b*t^2/12

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 due to Force given Bending Stress induced in Spring?

Bending Moment due to Force given Bending Stress induced in Spring calculator uses Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12 to calculate the Bending moment in spiral spring, Bending Moment due to Force given Bending Stress induced in Spring 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 spiral spring is denoted by M symbol.

How to calculate Bending Moment due to Force given Bending Stress induced in Spring using this online calculator? To use this online calculator for Bending Moment due to Force given Bending Stress induced in Spring, enter Bending Stress in Spiral Spring (σ_b), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Bending Moment due to Force given Bending Stress induced in Spring calculation can be explained with given input values -> 1.2E+6 = 800000000*0.01152*0.00125^2/12.

FAQ

What is Bending Moment due to Force given Bending Stress induced in Spring?

Bending Moment due to Force given Bending Stress induced in Spring 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 = σ_b*b*t^2/12 or Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12. Bending Stress in Spiral Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend, The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured & The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.

How to calculate Bending Moment due to Force given Bending Stress induced in Spring?

Bending Moment due to Force given Bending Stress induced in Spring 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 spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12. To calculate Bending Moment due to Force given Bending Stress induced in Spring, you need Bending Stress in Spiral Spring (σ_b), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t). With our tool, you need to enter the respective value for Bending Stress in Spiral Spring, Width of Strip of Spiral Spring & Thickness of Strip of 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 Bending moment in spiral spring?

In this formula, Bending moment in spiral spring uses Bending Stress in Spiral Spring, Width of Strip of Spiral Spring & Thickness of Strip of Spring. We can use 4 other way(s) to calculate the same, which is/are as follows -

Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring
Bending moment in spiral spring = Angle of rotation of arbor*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Length of Spiral Spring Strip)
Bending moment in spiral spring = (Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)/(12*Length of Spiral Spring Strip*Distance of CG of Spiral Spring)
Bending moment in spiral spring = sqrt(Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Length of Spiral Spring Strip))

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