Modulus of Elasticity of Spring Wire 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%
✖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%
✖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 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%

✖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 Spring Wire given Strain Energy Stored in Spring [E]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (6*(M^2)*l)/(U*b*t^3) --> (6*(1.2^2)*5.98)/(11.09*0.01152*0.00125^3)

Evaluating ... ...

E = 207062218214.608

STEP 3: Convert Result to Output's Unit

207062218214.608 Pascal -->207062.218214608 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

207062.218214608 ≈ 207062.2 Newton per Square Millimeter <-- Modulus of elasticity of spiral spring

(Calculation completed in 00.020 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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< Spring Material Mechanics Calculators

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

LaTeX Go Length of Strip of 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*Bending moment in spiral spring)

Modulus of Elasticity given Angle of Rotation of Arbor

LaTeX Go Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(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

LaTeX Go Angle of Rotation of Arbor = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(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

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

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

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

Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring calculator uses Modulus of elasticity of spiral spring = (6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring)/(Strain energy in spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3) to calculate the Modulus of elasticity of spiral spring, Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring formula is defined as a measure of the spring's stiffness, which is a critical parameter in designing and optimizing spiral springs, as it determines the spring's ability to store energy and withstand deformation. Modulus of elasticity of spiral spring is denoted by E symbol.

How to calculate Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring using this online calculator? To use this online calculator for Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Strain energy in spiral spring (U), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring calculation can be explained with given input values -> 0.207062 = (6*(1.2^2)*5.98)/(11.09*0.01152*0.00125^3).

FAQ

What is Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring?

Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring formula is defined as a measure of the spring's stiffness, which is a critical parameter in designing and optimizing spiral springs, as it determines the spring's ability to store energy and withstand deformation and is represented as E = (6*(M^2)*l)/(U*b*t^3) or Modulus of elasticity of spiral spring = (6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring)/(Strain energy in spiral spring*Width of Strip of 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, Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured, Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation, 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.

How to calculate Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring?

Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring formula is defined as a measure of the spring's stiffness, which is a critical parameter in designing and optimizing spiral springs, as it determines the spring's ability to store energy and withstand deformation is calculated using Modulus of elasticity of spiral spring = (6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring)/(Strain energy in spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3). To calculate Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring, you need Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Strain energy in spiral spring (U), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t). With our tool, you need to enter the respective value for Bending moment in spiral spring, Length of Strip of Spiral Spring, Strain energy in spiral spring, Width of Strip of 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 Modulus of elasticity of spiral spring?

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

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

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