Modulus of Rigidity given Strain Energy Stored by Spring Calculator

✖Axial Load is defined as applying a force on a structure directly along an axis of the structure.ⓘ Axial Load [P]			+10% -10%
✖Mean Radius Spring Coil is the mean radius of the coils of spring.ⓘ Mean Radius Spring Coil [R]			+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%
✖The Strain Energy is defined as the energy stored in a body due to deformation.ⓘ Strain Energy [U]			+10% -10%
✖Diameter of spring wire is the diameter length of spring wire.ⓘ Diameter of Spring Wire [d]			+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 given Strain Energy Stored by Spring [G]

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Formula

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Modulus of Rigidity given Strain Energy Stored by Spring

Formula

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

Example

`"91783.9MPa"=(32*("10kN")^2*("320mm")^3*"2")/("5KJ"*("26mm")^4)`

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Modulus of Rigidity given Strain Energy Stored by Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Axial Load - (Measured in Newton) - Axial Load is defined as applying a force on a structure directly along an axis of the structure.
Mean Radius Spring Coil - (Measured in Meter) - Mean Radius Spring Coil is the mean radius of the coils of spring.
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.
Strain Energy - (Measured in Joule) - The Strain Energy is defined as the energy stored in a body due to deformation.
Diameter of Spring Wire - (Measured in Meter) - Diameter of spring wire is the diameter length of spring wire.

STEP 1: Convert Input(s) to Base Unit

Axial Load: 10 Kilonewton --> 10000 Newton (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
Number of Coils: 2 --> No Conversion Required
Strain Energy: 5 Kilojoule --> 5000 Joule (Check conversion here)
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (32*P^2*R^3*N)/(U*d^4) --> (32*10000^2*0.32^3*2)/(5000*0.026^4)

Evaluating ... ...

G = 91783901123.9103

STEP 3: Convert Result to Output's Unit

91783901123.9103 Pascal -->91783.9011239103 Megapascal (Check conversion here)

FINAL ANSWER

91783.9011239103 ≈ 91783.9 Megapascal <-- Modulus of Rigidity of Spring

(Calculation completed in 00.004 seconds)

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< 22 Helical Springs Calculators

Modulus of Rigidity given Strain Energy Stored by Spring

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

Number of Coils given Strain Energy Stored by Spring

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

Strain Energy Stored by Spring

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

Modulus of Rigidity given Deflection of Spring

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

Number of Coils given Deflection of Spring

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

Number of Coils of Helical Spring given Stiffness of Spring

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

Modulus of Rigidity given Stiffness of Helical Spring

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

Stiffness of Helical Spring

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

Maximum Shear Stress induced in Wire

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

Maximum Shear Stress induced in Wire given Twisting Moment

Go Maximum Shear Stress in Wire = (16*Twisting Moments on Shells)/(pi*Diameter of Spring Wire^3)

Twisting Moment given Maximum Shear Stress induced in Wire

Go Twisting Moments on Shells = (pi*Maximum Shear Stress in Wire*Diameter of Spring Wire^3)/16

Number of Coils given Total Length of Wire of Spring

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

Total Length of Wire of Helical Spring given Mean Radius of Spring Roll

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

Twisting Moment on Wire of Helical Spring

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

Stiffness of Spring given Deflection of Spring

Go Stiffness of Helical Spring = Axial Load/Deflection of Spring

Deflection of Spring given Stiffness of Spring

Go Deflection of Spring = Axial Load/Stiffness of Helical Spring

Total Length of Wire of Helical Spring

Go Length of Wire of Spring = Length of One Coil*Number of Coils

Work Done on Spring given Axial Load on Spring

Go Work Done = (Axial Load*Deflection of Spring)/2

Deflection of Spring given Work Done on Spring

Go Deflection of Spring = (2*Work Done)/Axial Load

Deflection given Average Load on Spring

Go Deflection of Spring = Work Done/Average Load

Work Done on Spring given Average Load

Go Work Done = Average Load*Deflection of Spring

Average Load on Spring

Go Average Load = Work Done/Deflection of Spring

Modulus of Rigidity given Strain Energy Stored by Spring Formula

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

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 Modulus of Rigidity given Strain Energy Stored by Spring?

Modulus of Rigidity given Strain Energy Stored by Spring calculator uses Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4) to calculate the Modulus of Rigidity of Spring, The Modulus of rigidity given strain energy stored by spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ. Modulus of Rigidity of Spring is denoted by G symbol.

How to calculate Modulus of Rigidity given Strain Energy Stored by Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Strain Energy Stored by Spring, enter Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Strain Energy (U) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Modulus of Rigidity given Strain Energy Stored by Spring calculation can be explained with given input values -> 3.2E-7 = (32*10000^2*0.32^3*2)/(5000*0.026^4).

FAQ

What is Modulus of Rigidity given Strain Energy Stored by Spring?

The Modulus of rigidity given strain energy stored by spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ and is represented as G = (32*P^2*R^3*N)/(U*d^4) or Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4). Axial Load is defined as applying a force on a structure directly along an axis of the structure, Mean Radius Spring Coil is the mean radius of the coils of spring, 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, The Strain Energy is defined as the energy stored in a body due to deformation & Diameter of spring wire is the diameter length of spring wire.

How to calculate Modulus of Rigidity given Strain Energy Stored by Spring?

The Modulus of rigidity given strain energy stored by spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Often denoted by G sometimes by S or μ is calculated using Modulus of Rigidity of Spring = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4). To calculate Modulus of Rigidity given Strain Energy Stored by Spring, you need Axial Load (P), Mean Radius Spring Coil (R), Number of Coils (N), Strain Energy (U) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Axial Load, Mean Radius Spring Coil, Number of Coils, Strain Energy & Diameter of Spring Wire 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 Modulus of Rigidity of Spring?

In this formula, Modulus of Rigidity of Spring uses Axial Load, Mean Radius Spring Coil, Number of Coils, Strain Energy & Diameter of Spring Wire. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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