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

✖Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.ⓘ Deflection of Spiral Spring [δ]			+10% -10%
✖Modulus of elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of elasticity of spiral spring [E]			+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 in spiral spring [M]			+10% -10%
✖The Length of Spiral Spring Strip is defined as the length of the thin strip of which spiral spring coils are manufactured.ⓘ Length of Spiral Spring Strip [l]			+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 Deflection of one End of Spring [r]

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Formula

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

Formula

`"r" = "δ"*"E"*"b"*"t"^3/(12*"M"*"l")`

Example

`"55.0601mm"="1018mm"*"207000N/mm²"*"11.52mm"*("1.25mm")^3/(12*"1200N*mm"*"5980mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
r = δ*E*b*t^3/(12*M*l)
This formula uses 7 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.
Deflection of Spiral Spring - (Measured in Meter) - Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.
Modulus of elasticity of spiral spring - (Measured in Pascal) - Modulus of elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it.
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.
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.
Length of Spiral Spring Strip - (Measured in Meter) - The Length of Spiral Spring Strip is defined as the length of the thin strip of which spiral spring coils are manufactured.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spiral Spring: 1018 Millimeter --> 1.018 Meter (Check conversion here)
Modulus of elasticity of spiral spring: 207000 Newton per Square Millimeter --> 207000000000 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)
Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)
Length of Spiral Spring Strip: 5980 Millimeter --> 5.98 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = δ*E*b*t^3/(12*M*l) --> 1.018*207000000000*0.01152*0.00125^3/(12*1.2*5.98)

Evaluating ... ...

r = 0.0550600961538462

STEP 3: Convert Result to Output's Unit

0.0550600961538462 Meter -->55.0600961538462 Millimeter (Check conversion here)

FINAL ANSWER

55.0600961538462 ≈ 55.0601 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 Deflection of one End of Spring Formula

Define Deflection of Spring?

Spring deflection, also known as spring travel, is the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released. A travelled distance is exactly what deflection is.

How to Calculate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?

Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring calculator uses 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) to calculate the Distance of CG of Spiral Spring, The Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring formula is defined as the distance in between the centre of gravity of the spiral from the outer end 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 Deflection of one End of Spring using this online calculator? To use this online calculator for Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring, enter Deflection of Spiral Spring (δ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t), Bending moment in spiral spring (M) & Length of Spiral Spring Strip (l) and hit the calculate button. Here is how the Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring calculation can be explained with given input values -> 55060.1 = 1.018*207000000000*0.01152*0.00125^3/(12*1.2*5.98).

FAQ

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

The Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring formula is defined as the distance in between the centre of gravity of the spiral from the outer end of the spiral spring strip and is represented as r = δ*E*b*t^3/(12*M*l) or 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 Spiral Spring is the deflection of one end of spring with respect to the other, Modulus of elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it, 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, 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 & The Length of Spiral Spring Strip is defined as the length of the thin strip of which spiral spring coils are manufactured.

How to calculate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?

The Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring formula is defined as the distance in between the centre of gravity of the spiral from the outer end of the spiral spring strip is calculated using 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). To calculate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring, you need Deflection of Spiral Spring (δ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t), Bending moment in spiral spring (M) & Length of Spiral Spring Strip (l). With our tool, you need to enter the respective value for Deflection of Spiral Spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring, Bending moment in spiral spring & Length of Spiral Spring Strip 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 Deflection of Spiral Spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring, Bending moment in spiral spring & Length of Spiral Spring Strip. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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