Bending Moment 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%
✖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%

✖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 given Strain Energy Stored in Spring [M]

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Bending Moment given Strain Energy Stored in Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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 Strip of Spiral Spring))
M = sqrt(U*E*b*t^3/(6*l))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.

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)
Length of Strip of Spiral Spring: 5980 Millimeter --> 5.98 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = sqrt(U*E*b*t^3/(6*l)) --> sqrt(11.09*207000000000*0.01152*0.00125^3/(6*5.98))

Evaluating ... ...

M = 1.19981969799312

STEP 3: Convert Result to Output's Unit

1.19981969799312 Newton Meter -->1199.81969799312 Newton Millimeter (Check conversion here)

FINAL ANSWER

1199.81969799312 ≈ 1199.82 Newton Millimeter <-- Bending moment in 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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< Bending Moment in Spiral Spring Calculators

Bending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum

LaTeX 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 Strip of Spiral Spring)

Bending Moment due to Force given Bending Stress induced in Spring

LaTeX 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

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

Bending Moment due to Force

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

Bending Moment given Strain Energy Stored in Spring Formula

LaTeX Go

Define Bending Moment?

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Moment given Strain Energy Stored in Spring?

Bending Moment given Strain Energy Stored in Spring calculator uses 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 Strip of Spiral Spring)) to calculate the Bending moment in spiral spring, Bending Moment given Strain Energy Stored in Spring formula is defined as a measure of the twisting force that causes an object to deform when a spring is subjected to an external force, providing insight into the spring's mechanical behavior and stability in spiral spring systems. Bending moment in spiral spring is denoted by M symbol.

How to calculate Bending Moment given Strain Energy Stored in Spring using this online calculator? To use this online calculator for Bending Moment 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) & Length of Strip of Spiral Spring (l) and hit the calculate button. Here is how the Bending Moment given Strain Energy Stored in Spring calculation can be explained with given input values -> 1.2E+6 = sqrt(11.09*207000000000*0.01152*0.00125^3/(6*5.98)).

FAQ

What is Bending Moment given Strain Energy Stored in Spring?

Bending Moment given Strain Energy Stored in Spring formula is defined as a measure of the twisting force that causes an object to deform when a spring is subjected to an external force, providing insight into the spring's mechanical behavior and stability in spiral spring systems and is represented as M = sqrt(U*E*b*t^3/(6*l)) or 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 Strip of Spiral Spring)). 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 & Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.

How to calculate Bending Moment given Strain Energy Stored in Spring?

Bending Moment given Strain Energy Stored in Spring formula is defined as a measure of the twisting force that causes an object to deform when a spring is subjected to an external force, providing insight into the spring's mechanical behavior and stability in spiral spring systems is calculated using 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 Strip of Spiral Spring)). To calculate Bending Moment 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) & Length of Strip of Spiral Spring (l). 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 & Length of Strip of 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 Bending moment in spiral spring?

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

Bending moment in spiral spring = Bending Stress in Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^2/12
Bending moment in spiral spring = Force on spiral spring*Distance of CG of Spiral Spring
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 Strip of Spiral Spring)

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