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 Strip of Spiral Spring/(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 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.
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 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)
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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Width of Strip Calculators

Width of Strip given Deflection of one End of Spring with Respect to Other End
​ LaTeX ​ Go Width of Strip of Spiral 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
Width of Strip given Deflection of one End of Spring
​ LaTeX ​ Go Width of Strip of Spiral 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
Width of Strip given Angle of Rotation of Arbor with Respect to Drum
​ LaTeX ​ Go Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(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
​ LaTeX ​ 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

​LaTeX ​Go
Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring/(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)

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 Strip of Spiral Spring/(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, Width of Strip given Strain Energy Stored in Spring formula is defined as the measure of the width of a strip in a spiral spring, which is influenced by the spring's material properties and the energy stored in it, providing a critical parameter in the design and analysis of spiral springs. 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 Strip of Spiral Spring (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?
Width of Strip given Strain Energy Stored in Spring formula is defined as the measure of the width of a strip in a spiral spring, which is influenced by the spring's material properties and the energy stored in it, providing a critical parameter in the design and analysis of spiral springs 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 Strip of Spiral Spring/(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, 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, 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?
Width of Strip given Strain Energy Stored in Spring formula is defined as the measure of the width of a strip in a spiral spring, which is influenced by the spring's material properties and the energy stored in it, providing a critical parameter in the design and analysis of spiral springs is calculated using Width of Strip of Spiral Spring = 6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring/(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 Strip of Spiral Spring (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 Strip of Spiral Spring, 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 Strip of Spiral Spring, Modulus of elasticity of spiral spring, Strain energy in spiral spring & Thickness of Strip of Spring. We can use 3 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 Strip of Spiral Spring/(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 Strip of Spiral Spring*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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