Thickness of Strip given Strain Energy Stored in Strip 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%
✖Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.ⓘ Length of Strip of Spiral Spring [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%
✖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%
✖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 given Strain Energy Stored in Strip [t]

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Thickness of Strip given Strain Energy Stored in Strip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3)
t = (6*M^2*l/(E*b*U))^(1/3)
This formula uses 6 Variables

Variables Used

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 Strip of Spiral Spring - (Measured in Meter) - Length of Strip of Spiral Spring 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.
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.
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.

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 Strip of Spiral Spring: 5980 Millimeter --> 5.98 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)
Strain energy in spiral spring: 11.09 Joule --> 11.09 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (6*M^2*l/(E*b*U))^(1/3) --> (6*1.2^2*5.98/(207000000000*0.01152*11.09))^(1/3)

Evaluating ... ...

t = 0.00125012522540657

STEP 3: Convert Result to Output's Unit

0.00125012522540657 Meter -->1.25012522540657 Millimeter (Check conversion here)

FINAL ANSWER

1.25012522540657 ≈ 1.250125 Millimeter <-- Thickness of Strip of 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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< Thickness of Strip Calculators

Thickness of Strip given Deflection of one end of Spring with respect to other end

LaTeX Go Thickness of Strip of Spring = ((12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring)/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Deflection of Spiral Spring))^(1/3)

Thickness of Strip given Strain Energy Stored in Strip

LaTeX Go Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3)

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum

LaTeX Go Thickness of Strip of Spring = (12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(1/3)

Thickness of Strip given Bending Stress induced at outer end of Spring

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

Thickness of Strip given Strain Energy Stored in Strip Formula

LaTeX Go

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 Thickness of Strip given Strain Energy Stored in Strip?

Thickness of Strip given Strain Energy Stored in Strip calculator uses Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3) to calculate the Thickness of Strip of Spring, Thickness of Strip given Strain Energy Stored in Strip formula is defined as the measure of the strip's thickness in terms of the strain energy stored, which is a critical parameter in spiral spring design, influencing the spring's overall performance and reliability. Thickness of Strip of Spring is denoted by t symbol.

How to calculate Thickness of Strip given Strain Energy Stored in Strip using this online calculator? To use this online calculator for Thickness of Strip given Strain Energy Stored in Strip, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Strain energy in spiral spring (U) and hit the calculate button. Here is how the Thickness of Strip given Strain Energy Stored in Strip calculation can be explained with given input values -> 1250.125 = (6*1.2^2*5.98/(207000000000*0.01152*11.09))^(1/3).

FAQ

What is Thickness of Strip given Strain Energy Stored in Strip?

Thickness of Strip given Strain Energy Stored in Strip formula is defined as the measure of the strip's thickness in terms of the strain energy stored, which is a critical parameter in spiral spring design, influencing the spring's overall performance and reliability and is represented as t = (6*M^2*l/(E*b*U))^(1/3) or Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3). 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, Length of Strip of Spiral Spring 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, 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 & Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation.

How to calculate Thickness of Strip given Strain Energy Stored in Strip?

Thickness of Strip given Strain Energy Stored in Strip formula is defined as the measure of the strip's thickness in terms of the strain energy stored, which is a critical parameter in spiral spring design, influencing the spring's overall performance and reliability is calculated using Thickness of Strip of Spring = (6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3). To calculate Thickness of Strip given Strain Energy Stored in Strip, you need Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Strain energy in spiral spring (U). With our tool, you need to enter the respective value for Bending moment in spiral spring, Length of Strip of Spiral Spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring & Strain energy 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 Thickness of Strip of Spring?

In this formula, Thickness of Strip of Spring uses Bending moment in spiral spring, Length of Strip of Spiral Spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring & Strain energy in spiral spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring))
Thickness of Strip of Spring = (12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(1/3)
Thickness of Strip of Spring = ((12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring)/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Deflection of Spiral Spring))^(1/3)

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