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Modulus of Rigidity given Stiffness of Helical Spring Calculator

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Loads and Parameter of Spring Axial Load Diameter of Spring Mean Radius of Spring

✖Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Helical Spring [k]			+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%
✖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 Stiffness of Helical Spring [G]

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Modulus of Rigidity given Stiffness of Helical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)
G = (64*k*R^3*N)/(d^4)
This formula uses 5 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.
Stiffness of Helical Spring - (Measured in Newton per Meter) - Stiffness of Helical Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
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.
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

Stiffness of Helical Spring: 0.75 Kilonewton per Meter --> 750 Newton per Meter (Check conversion here)
Mean Radius Spring Coil: 320 Millimeter --> 0.32 Meter (Check conversion here)
Number of Coils: 2 --> No Conversion Required
Diameter of Spring Wire: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = (64*k*R^3*N)/(d^4) --> (64*750*0.32^3*2)/(0.026^4)

Evaluating ... ...

G = 6883792584.29327

STEP 3: Convert Result to Output's Unit

6883792584.29327 Pascal -->6883.79258429327 Megapascal (Check conversion here)

FINAL ANSWER

6883.79258429327 ≈ 6883.793 Megapascal <-- Modulus of Rigidity of Spring

(Calculation completed in 00.020 seconds)

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< Loads and Parameter of Spring Calculators

Maximum Shear Stress induced in Wire

LaTeX 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

LaTeX 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

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

Twisting Moment on Wire of Helical Spring

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

Modulus of Rigidity given Stiffness of Helical Spring Formula

LaTeX Go

Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4)
G = (64*k*R^3*N)/(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 Stiffness of Helical Spring?

Modulus of Rigidity given Stiffness of Helical Spring calculator uses Modulus of Rigidity of Spring = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4) to calculate the Modulus of Rigidity of Spring, Modulus of rigidity given stiffness of helical spring 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 Stiffness of Helical Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Stiffness of Helical Spring, enter Stiffness of Helical Spring (k), Mean Radius Spring Coil (R), Number of Coils (N) & Diameter of Spring Wire (d) and hit the calculate button. Here is how the Modulus of Rigidity given Stiffness of Helical Spring calculation can be explained with given input values -> 2.4E-8 = (64*750*0.32^3*2)/(0.026^4).

FAQ

What is Modulus of Rigidity given Stiffness of Helical Spring?

Modulus of rigidity given stiffness of helical spring 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 = (64*k*R^3*N)/(d^4) or 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 is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, 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 & Diameter of spring wire is the diameter length of spring wire.

How to calculate Modulus of Rigidity given Stiffness of Helical Spring?

Modulus of rigidity given stiffness of helical spring 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 = (64*Stiffness of Helical Spring*Mean Radius Spring Coil^3*Number of Coils)/(Diameter of Spring Wire^4). To calculate Modulus of Rigidity given Stiffness of Helical Spring, you need Stiffness of Helical Spring (k), Mean Radius Spring Coil (R), Number of Coils (N) & Diameter of Spring Wire (d). With our tool, you need to enter the respective value for Stiffness of Helical Spring, Mean Radius Spring Coil, Number of Coils & 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 Stiffness of Helical Spring, Mean Radius Spring Coil, Number of Coils & 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 = (32*Axial Load^2*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)
Modulus of Rigidity of Spring = (64*Axial Load*Mean Radius Spring Coil^3*Number of Coils)/(Strain Energy*Diameter of Spring Wire^4)

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