Mean Radius of Spring Rolls given Strain Energy Stored by Spring Calculator

✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy [U]			+10% -10%
✖Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.ⓘ Modulus of Rigidity of Spring [G]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+10% -10%
✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.ⓘ Number of Coils [N]			+10% -10%

✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius of Spring Rolls given Strain Energy Stored by Spring [R]

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Formula

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Mean Radius of Spring Rolls given Strain Energy Stored by Spring

Formula

`"R" = (("U"*"G"*"d"^4)/(32*"P"^2*"N"))^(1/3)`

Example

`"11.26111mm"=(("5KJ"*"4MPa"*("26mm")^4)/(32*("10kN")^2*"2"))^(1/3)`

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Mean Radius of Spring Rolls given Strain Energy Stored by Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)
R = ((U*G*d^4)/(32*P^2*N))^(1/3)
This formula uses 6 Variables

Variables Used

Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Modulus of Rigidity of Spring - (Measured in Pascal) - Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.
Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Number of Coils - The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

STEP 1: Convert Input(s) to Base Unit

Strain Energy: 5 Kilojoule --> 5000 Joule (Check conversion here)
Modulus of Rigidity of Spring: 4 Megapascal --> 4000000 Pascal (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)
Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)
Number of Coils: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((U*G*d^4)/(32*P^2*N))^(1/3) --> ((5000*4000000*0.026^4)/(32*10000^2*2))^(1/3)

Evaluating ... ...

R = 0.0112611083694317

STEP 3: Convert Result to Output's Unit

0.0112611083694317 Meter -->11.2611083694317 Millimeter (Check conversion here)

FINAL ANSWER

11.2611083694317 ≈ 11.26111 Millimeter <-- Mean Radius Spring Coil

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 6 Mean Radius of Spring Calculators

Mean Radius of Spring Rolls given Strain Energy Stored by Spring

Go Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)

Mean Radius of Spring Roll given Deflection of Spring

Go Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3)

Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

Go Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)

Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

Go Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)

Mean Radius of Spring Rolls given Total Length of Wire of Spring

Go Mean Radius Spring Coil = Length of Wire of Spring/(2*pi*Number of Coils)

Mean Radius of Spring Coil

Go Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load

Mean Radius of Spring Rolls given Strain Energy Stored by Spring Formula

Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3)
R = ((U*G*d^4)/(32*P^2*N))^(1/3)

What does strain energy tell you?

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.

How to Calculate Mean Radius of Spring Rolls given Strain Energy Stored by Spring?

Mean Radius of Spring Rolls given Strain Energy Stored by Spring calculator uses Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3) to calculate the Mean Radius Spring Coil, Mean radius of spring rolls given strain energy stored by spring is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Mean Radius Spring Coil is denoted by R symbol.

How to calculate Mean Radius of Spring Rolls given Strain Energy Stored by Spring using this online calculator? To use this online calculator for Mean Radius of Spring Rolls given Strain Energy Stored by Spring, enter Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Axial Load (P) & Number of Coils (N) and hit the calculate button. Here is how the Mean Radius of Spring Rolls given Strain Energy Stored by Spring calculation can be explained with given input values -> 739863.6 = ((5000*4000000*0.026^4)/(32*10000^2*2))^(1/3).

FAQ

What is Mean Radius of Spring Rolls given Strain Energy Stored by Spring?

Mean radius of spring rolls given strain energy stored by spring is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length and is represented as R = ((U*G*d^4)/(32*P^2*N))^(1/3) or Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3). The Strain Energy is defined as the energy stored in a body due to deformation, Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is, Diameter of spring wire is the diameter length of spring wire, Axial Load is defined as applying a force on a structure directly along an axis of the structure & The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

How to calculate Mean Radius of Spring Rolls given Strain Energy Stored by Spring?

Mean radius of spring rolls given strain energy stored by spring is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length is calculated using Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(32*Axial Load^2*Number of Coils))^(1/3). To calculate Mean Radius of Spring Rolls given Strain Energy Stored by Spring, you need Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Axial Load (P) & Number of Coils (N). With our tool, you need to enter the respective value for Strain Energy, Modulus of Rigidity of Spring, Diameter of Spring Wire, Axial Load & Number of Coils 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 Mean Radius Spring Coil?

In this formula, Mean Radius Spring Coil uses Strain Energy, Modulus of Rigidity of Spring, Diameter of Spring Wire, Axial Load & Number of Coils. We can use 5 other way(s) to calculate the same, which is/are as follows -

Mean Radius Spring Coil = Twisting Moments on Shells/Axial Load
Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Mean Radius Spring Coil = ((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)
Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3)
Mean Radius Spring Coil = Length of Wire of Spring/(2*pi*Number of Coils)

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