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

✖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 in spiral spring [M]			+10% -10%
✖Force on spiral spring is the pulling force acting onto the end of a spiral spring.ⓘ Force on spiral spring [P]			+10% -10%

✖The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.ⓘ Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force [r]

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Formula

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

Formula

`"r" = "M"/"P"`

Example

`"54.54545mm"="1200N*mm"/"22N"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring
r = M/P
This formula uses 3 Variables

Variables Used

Distance of CG of Spiral Spring - (Measured in Meter) - The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.
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.
Force on spiral spring - (Measured in Newton) - Force on spiral spring is the pulling force acting onto the end of a spiral spring.

STEP 1: Convert Input(s) to Base Unit

Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)
Force on spiral spring: 22 Newton --> 22 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = M/P --> 1.2/22

Evaluating ... ...

r = 0.0545454545454545

STEP 3: Convert Result to Output's Unit

0.0545454545454545 Meter -->54.5454545454545 Millimeter (Check conversion here)

FINAL ANSWER

54.5454545454545 ≈ 54.54545 Millimeter <-- Distance of CG of 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

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

Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring
r = M/P

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

Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force calculator uses Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring to calculate the Distance of CG of Spiral Spring, The Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force formula is defined as the distance in between the spiral spring strip and the centre of gravity of the spiral spring strip. Distance of CG of Spiral Spring is denoted by r symbol.

How to calculate Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force using this online calculator? To use this online calculator for Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force, enter Bending moment in spiral spring (M) & Force on spiral spring (P) and hit the calculate button. Here is how the Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force calculation can be explained with given input values -> 54545.45 = 1.2/22.

FAQ

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

The Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force formula is defined as the distance in between the spiral spring strip and the centre of gravity of the spiral spring strip and is represented as r = M/P or Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring. 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 & Force on spiral spring is the pulling force acting onto the end of a spiral spring.

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

The Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force formula is defined as the distance in between the spiral spring strip and the centre of gravity of the spiral spring strip is calculated using Distance of CG of Spiral Spring = Bending moment in spiral spring/Force on spiral spring. To calculate Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force, you need Bending moment in spiral spring (M) & Force on spiral spring (P). With our tool, you need to enter the respective value for Bending moment in spiral spring & Force on spiral 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 Distance of CG of Spiral Spring?

In this formula, Distance of CG of Spiral Spring uses Bending moment in spiral spring & Force on spiral spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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