Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring Calculator

✖Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation.ⓘ Strain energy in spiral spring [U]			+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 Strip from Outer end to Inner End given Strain Energy Stored in Spring [l]

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Formula

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Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring

Formula

`"l" = "U"*"E"*"b"*"t"^3/(6*"M"^2)`

Example

`"5978.203mm"="11.09J"*"207000N/mm²"*"11.52mm"*("1.25mm")^3/(6*("1200N*mm")^2)`

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Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Spiral Spring Strip = Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Bending moment in spiral spring^2)
l = U*E*b*t^3/(6*M^2)
This formula uses 6 Variables

Variables Used

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.
Strain energy in spiral spring - (Measured in Joule) - Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation.
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.

STEP 1: Convert Input(s) to Base Unit

Strain energy in spiral spring: 11.09 Joule --> 11.09 Joule No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = U*E*b*t^3/(6*M^2) --> 11.09*207000000000*0.01152*0.00125^3/(6*1.2^2)

Evaluating ... ...

l = 5.978203125

STEP 3: Convert Result to Output's Unit

5.978203125 Meter -->5978.203125 Millimeter (Check conversion here)

FINAL ANSWER

5978.203125 ≈ 5978.203 Millimeter <-- Length of Spiral Spring Strip

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Spiral Springs » Spring Material Mechanics » Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 10+ Spring Material Mechanics Calculators

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End

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

Length of Strip from Outer end to inner End given Deflection of one End of Spring

Go Length of Spiral Spring Strip = 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*Distance of CG of Spiral Spring)

Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring

Go Modulus of elasticity of spiral spring = (6*(Bending moment in spiral spring^2)*Length of Spiral Spring Strip)/(Strain energy in spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

Strain Energy Stored in Spiral Spring

Go Strain energy in spiral spring = 6*(Bending moment in spiral spring^2)*Length of Spiral Spring Strip/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring

Go Length of Spiral Spring Strip = Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Bending moment in spiral spring^2)

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor

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

Modulus of Elasticity given Angle of Rotation of Arbor

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

Angle of Rotation of Arbor with Respect to Drum

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

Maximum Bending Stress induced at outer end of Spring

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

Force given Bending Moment Due to that Force

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

Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring Formula

Define Strain Energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.

How to Calculate Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring?

Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring calculator uses Length of Spiral Spring Strip = Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Bending moment in spiral spring^2) to calculate the Length of Spiral Spring Strip, The Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. Length of Spiral Spring Strip is denoted by l symbol.

How to calculate Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring using this online calculator? To use this online calculator for Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring, enter Strain energy in spiral spring (U), 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) and hit the calculate button. Here is how the Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring calculation can be explained with given input values -> 6E+6 = 11.09*207000000000*0.01152*0.00125^3/(6*1.2^2).

FAQ

What is Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring?

The Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation and is represented as l = U*E*b*t^3/(6*M^2) or Length of Spiral Spring Strip = Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Bending moment in spiral spring^2). Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation, 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.

How to calculate Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring?

The Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring formula is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation is calculated using Length of Spiral Spring Strip = Strain energy in spiral spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(6*Bending moment in spiral spring^2). To calculate Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring, you need Strain energy in spiral spring (U), 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). With our tool, you need to enter the respective value for Strain energy in spiral spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring & Bending moment in 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 Length of Spiral Spring Strip?

In this formula, Length of Spiral Spring Strip uses Strain energy in spiral spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring & Bending moment in spiral spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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