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 = σb*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 = σb*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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Bending Moment in Spiral Spring Calculators

Bending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum
​ LaTeX ​ 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 Strip of Spiral Spring)
Bending Moment due to Force given Bending Stress induced in Spring
​ LaTeX ​ 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
​ LaTeX ​ Go Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring
Bending Moment due to Force
​ LaTeX ​ 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

​LaTeX ​Go
Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
M = σb*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 formula is defined as a measure of the turning effect of a force that causes a spring to bend, resulting in a stress that can lead to deformation or even failure of the spring, particularly in spiral springs. 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 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 formula is defined as a measure of the turning effect of a force that causes a spring to bend, resulting in a stress that can lead to deformation or even failure of the spring, particularly in spiral springs and is represented as M = σb*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 formula is defined as a measure of the turning effect of a force that causes a spring to bend, resulting in a stress that can lead to deformation or even failure of the spring, particularly in spiral springs 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 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 3 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 Strip of Spiral Spring)
  • 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 Strip of Spiral Spring*Distance of CG of Spiral Spring)
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