Strain Energy Stored in Spiral Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strain energy in spiral 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*Thickness of Strip of Spring^3)
U = 6*(M^2)*l/(E*b*t^3)
This formula uses 6 Variables
Variables Used
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.
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.
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)
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
U = 6*(M^2)*l/(E*b*t^3) --> 6*(1.2^2)*5.98/(207000000000*0.01152*0.00125^3)
Evaluating ... ...
U = 11.0933333333333
STEP 3: Convert Result to Output's Unit
11.0933333333333 Joule --> No Conversion Required
FINAL ANSWER
11.0933333333333 11.09333 Joule <-- Strain energy in spiral spring
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verifier Image
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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)

Strain Energy Stored in Spiral Spring Formula

​LaTeX ​Go
Strain energy in spiral 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*Thickness of Strip of Spring^3)
U = 6*(M^2)*l/(E*b*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 Strain Energy Stored in Spiral Spring?

Strain Energy Stored in Spiral Spring calculator uses Strain energy in spiral 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*Thickness of Strip of Spring^3) to calculate the Strain energy in spiral spring, Strain Energy Stored in Spiral Spring formula is defined as the energy stored in a spiral spring when it is deformed, which is a critical parameter in the design and analysis of spiral springs used in various mechanical systems, including watches, toys, and industrial machinery. Strain energy in spiral spring is denoted by U symbol.

How to calculate Strain Energy Stored in Spiral Spring using this online calculator? To use this online calculator for Strain Energy Stored in Spiral Spring, 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) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Strain Energy Stored in Spiral Spring calculation can be explained with given input values -> 11.09333 = 6*(1.2^2)*5.98/(207000000000*0.01152*0.00125^3).

FAQ

What is Strain Energy Stored in Spiral Spring?
Strain Energy Stored in Spiral Spring formula is defined as the energy stored in a spiral spring when it is deformed, which is a critical parameter in the design and analysis of spiral springs used in various mechanical systems, including watches, toys, and industrial machinery and is represented as U = 6*(M^2)*l/(E*b*t^3) or Strain energy in spiral 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*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, 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 Strain Energy Stored in Spiral Spring?
Strain Energy Stored in Spiral Spring formula is defined as the energy stored in a spiral spring when it is deformed, which is a critical parameter in the design and analysis of spiral springs used in various mechanical systems, including watches, toys, and industrial machinery is calculated using Strain energy in spiral 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*Thickness of Strip of Spring^3). To calculate Strain Energy Stored in Spiral Spring, 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) & 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, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!