Width of Strip given Strain Energy Stored in Spring 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%
✖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%
✖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%
✖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%
✖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%

✖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 given Strain Energy Stored in Spring [b]

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Formula

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Width of Strip given Strain Energy Stored in Spring

Formula

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

Example

`"11.52346mm"=6*(("1200N*mm")^2)*"5980mm"/("207000N/mm²"*"11.09J"*("1.25mm")^3)`

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Width of Strip given Strain Energy Stored in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.
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 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)
Modulus of elasticity of spiral spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Strain energy in spiral spring: 11.09 Joule --> 11.09 Joule No Conversion Required
Thickness of Strip of Spring: 1.25 Millimeter --> 0.00125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 6*(M^2)*l/(E*U*t^3) --> 6*(1.2^2)*5.98/(207000000000*11.09*0.00125^3)

Evaluating ... ...

b = 0.0115234625788999

STEP 3: Convert Result to Output's Unit

0.0115234625788999 Meter -->11.5234625788999 Millimeter (Check conversion here)

FINAL ANSWER

11.5234625788999 ≈ 11.52346 Millimeter <-- Width of Strip of Spiral Spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 5 Width of Strip Calculators

Width of Strip given Deflection of one End of Spring with Respect to Other End

Go Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)

Width of Strip given Deflection of one End of Spring

Width of Strip given Strain Energy Stored in Spring

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

Width of Strip given Angle of Rotation of Arbor with Respect to Drum

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

Width of Strip given Bending Stress induced at uuter end of Spring

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

Width of Strip 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 Width of Strip given Strain Energy Stored in Spring?

Width of Strip given Strain Energy Stored in Spring calculator uses Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Spiral Spring Strip/(Modulus of elasticity of spiral spring*Strain energy in spiral spring*Thickness of Strip of Spring^3) to calculate the Width of Strip of Spiral Spring, The Width of Strip given Strain Energy Stored in Spring formula is defined as the distance between one end of the strip to the other end of the strip. Width of Strip of Spiral Spring is denoted by b symbol.

How to calculate Width of Strip given Strain Energy Stored in Spring using this online calculator? To use this online calculator for Width of Strip given Strain Energy Stored in Spring, enter Bending moment in spiral spring (M), Length of Spiral Spring Strip (l), Modulus of elasticity of spiral spring (E), Strain energy in spiral spring (U) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Width of Strip given Strain Energy Stored in Spring calculation can be explained with given input values -> 11523.46 = 6*(1.2^2)*5.98/(207000000000*11.09*0.00125^3).

FAQ

What is Width of Strip given Strain Energy Stored in Spring?

The Width of Strip given Strain Energy Stored in Spring formula is defined as the distance between one end of the strip to the other end of the strip and is represented as b = 6*(M^2)*l/(E*U*t^3) or Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Spiral Spring Strip/(Modulus of elasticity of spiral spring*Strain energy in spiral spring*Thickness of Strip of Spring^3). 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, 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, Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation & 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 Width of Strip given Strain Energy Stored in Spring?

The Width of Strip given Strain Energy Stored in Spring formula is defined as the distance between one end of the strip to the other end of the strip is calculated using Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Spiral Spring Strip/(Modulus of elasticity of spiral spring*Strain energy in spiral spring*Thickness of Strip of Spring^3). To calculate Width of Strip given Strain Energy Stored in Spring, you need Bending moment in spiral spring (M), Length of Spiral Spring Strip (l), Modulus of elasticity of spiral spring (E), Strain energy in spiral spring (U) & Thickness of Strip of Spring (t). With our tool, you need to enter the respective value for Bending moment in spiral spring, Length of Spiral Spring Strip, Modulus of elasticity of spiral spring, Strain energy in 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 Width of Strip of Spiral Spring?

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

Width of Strip of Spiral Spring = 12*Bending moment in spiral spring/(Bending Stress in Spiral Spring*Thickness of Strip of Spring^2)
Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Spiral Spring Strip/(Modulus of elasticity of spiral spring*Angle of rotation of arbor*(Thickness of Strip of Spring^3))
Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)

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