Deflection of Spring given Strain Energy Stored Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deflection of Spring = 2*Strain energy in spring/Axial Spring Force
δ = 2*Uh/P
This formula uses 3 Variables
Variables Used
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how much the length of a spring changes when force is applied or released.
Strain energy in spring - (Measured in Joule) - Strain energy in spring is the energy stored in a helical spring by virtue of its deformation.
Axial Spring Force - (Measured in Newton) - Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
STEP 1: Convert Input(s) to Base Unit
Strain energy in spring: 1.5 Joule --> 1.5 Joule No Conversion Required
Axial Spring Force: 138.2 Newton --> 138.2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δ = 2*Uh/P --> 2*1.5/138.2
Evaluating ... ...
δ = 0.0217076700434153
STEP 3: Convert Result to Output's Unit
0.0217076700434153 Meter -->21.7076700434153 Millimeter (Check conversion here)
FINAL ANSWER
21.7076700434153 21.70767 Millimeter <-- Deflection of Spring
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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24 Stress and Deflections in Springs Calculators

Diameter of Spring Wire given Deflection in Spring
Go Diameter of spring wire = ((8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Deflection of Spring))^(1/4)
Mean Coil Diameter given Deflection in Spring
Go Mean Coil Diameter of Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Axial Spring Force*Active Coils in Spring))^(1/3)
Number of Active Coils given Deflection in Spring
Go Active Coils in Spring = (Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4)/(8*Axial Spring Force*(Mean Coil Diameter of Spring^3))
Modulus of Rigidity given Deflection in Spring
Go Modulus of rigidity of spring wire = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Deflection of Spring*Diameter of spring wire^4)
Deflection of Spring
Go Deflection of Spring = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Diameter of spring wire^4)
Force Applied on Spring given Deflection in Spring
Go Axial Spring Force = Deflection of Spring*Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)
Diameter of Spring Wire given Resultant Stress in Spring
Go Diameter of spring wire = ((Wahl Factor of Spring*8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Shear Stress in Spring))^(1/3)
Mean Coil Diameter given Resultant Stress in Spring
Go Mean Coil Diameter of Spring = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Axial Spring Force)
Force acting on Spring given Resultant Stress
Go Axial Spring Force = Shear Stress in Spring*(pi*Diameter of spring wire^3)/(Wahl Factor of Spring*8*Mean Coil Diameter of Spring)
Resultant Stress in Spring
Go Shear Stress in Spring = Wahl Factor of Spring*(8*Axial Spring Force*Mean Coil Diameter of Spring)/(pi*Diameter of spring wire^3)
Diameter of Spring Wire given Rate of Spring
Go Diameter of spring wire = ((Stiffness of Spring*8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/ (Modulus of rigidity of spring wire))^(1/4)
Mean Coil Diameter given Rate of Spring
Go Mean Coil Diameter of Spring = (Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Stiffness of Spring*Active Coils in Spring))^(1/3)
Modulus of Rigidity given Rate of Spring
Go Modulus of rigidity of spring wire = Stiffness of Spring*(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)/Diameter of spring wire^4
Rate of Spring
Go Stiffness of Spring = Modulus of rigidity of spring wire*Diameter of spring wire^4/(8*Mean Coil Diameter of Spring^3*Active Coils in Spring)
Stress Factor of Spring
Go Wahl Factor of Spring = ((4*Spring Index-1)/(4*Spring Index-4))+(0.615/Spring Index)
Shear Stress Correction Factor given Diameter of Spring Wire
Go Shear Stress Correction Factor of Spring = (1+(.5*Diameter of spring wire/Mean Coil Diameter of Spring))
Mean Coil diameter given Shear Stress Correction Factor
Go Mean Coil Diameter of Spring = 0.5*Diameter of spring wire/(Shear Stress Correction Factor of Spring-1)
Diameter of Spring Wire given Shear Stress Correction Factor
Go Diameter of spring wire = (Shear Stress Correction Factor of Spring-1)*Mean Coil Diameter of Spring/.5
Strain Energy Stored in Spring
Go Strain energy in spring = .5*Axial Spring Force*Deflection of Spring
Force Applied on Spring given Strain Energy Stored in Spring
Go Axial Spring Force = 2*Strain energy in spring/Deflection of Spring
Deflection of Spring given Strain Energy Stored
Go Deflection of Spring = 2*Strain energy in spring/Axial Spring Force
Rate of Spring given Deflection
Go Stiffness of Spring = Axial Spring Force/Deflection of Spring
Spring Index given Shear Stress Correction Factor
Go Spring Index = (0.5)/(Shear Stress Correction Factor of Spring-1)
Shear Stress Correction Factor
Go Shear Stress Correction Factor of Spring = (1+(.5/Spring Index))

Deflection of Spring given Strain Energy Stored Formula

Deflection of Spring = 2*Strain energy in spring/Axial Spring Force
δ = 2*Uh/P

Define Strain Energy?

Strain energy is a type of potential energy that is stored in a structural member as a result of elastic deformation. The external work done on such a member when it is deformed from its unstressed state is transformed into (and considered equal to the strain energy stored in it. If, for instance, a beam that is supported at two ends is subjected to a bending moment by a load suspended in the canter, then the beam is said to be deflected from its unstressed state, and strain energy is stored in it.

How to Calculate Deflection of Spring given Strain Energy Stored?

Deflection of Spring given Strain Energy Stored calculator uses Deflection of Spring = 2*Strain energy in spring/Axial Spring Force to calculate the Deflection of Spring, The Deflection of Spring given Strain Energy Stored formula is defined as the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection of Spring given Strain Energy Stored using this online calculator? To use this online calculator for Deflection of Spring given Strain Energy Stored, enter Strain energy in spring (Uh) & Axial Spring Force (P) and hit the calculate button. Here is how the Deflection of Spring given Strain Energy Stored calculation can be explained with given input values -> 21707.67 = 2*1.5/138.2.

FAQ

What is Deflection of Spring given Strain Energy Stored?
The Deflection of Spring given Strain Energy Stored formula is defined as the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released and is represented as δ = 2*Uh/P or Deflection of Spring = 2*Strain energy in spring/Axial Spring Force. Strain energy in spring is the energy stored in a helical spring by virtue of its deformation & Axial Spring Force is the force acting at the ends of a spring trying to compress or expand it in axial direction.
How to calculate Deflection of Spring given Strain Energy Stored?
The Deflection of Spring given Strain Energy Stored formula is defined as the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released is calculated using Deflection of Spring = 2*Strain energy in spring/Axial Spring Force. To calculate Deflection of Spring given Strain Energy Stored, you need Strain energy in spring (Uh) & Axial Spring Force (P). With our tool, you need to enter the respective value for Strain energy in spring & Axial Spring Force 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 Deflection of Spring?
In this formula, Deflection of Spring uses Strain energy in spring & Axial Spring Force. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Deflection of Spring = (8*Axial Spring Force*(Mean Coil Diameter of Spring^3)*Active Coils in Spring)/(Modulus of rigidity of spring wire*Diameter of spring wire^4)
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