Modulus of Rigidity given Stiffness of Spring Calculator

✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [K]			+10% -10%
✖The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.ⓘ Mean Radius [R]			+10% -10%
✖Number of Coils in spring is the total number of turns made by wire along its length.ⓘ Number of Coils [N]			+10% -10%
✖Diameter of Spring wire is the diameter of the wire from which a spring is made.ⓘ Diameter of Spring [d]			+10% -10%

✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity given Stiffness of Spring [G_Torsion]

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Modulus of Rigidity given Stiffness of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4
G_Torsion = (64*K*R^3*N)/d^4
This formula uses 5 Variables

Variables Used

Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Mean Radius - (Measured in Meter) - The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from which a spring is made.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 25 Newton per Millimeter --> 25000 Newton per Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_Torsion = (64*K*R^3*N)/d^4 --> (64*25000*0.225^3*9)/0.045^4

Evaluating ... ...

G_Torsion = 40000000000

STEP 3: Convert Result to Output's Unit

40000000000 Pascal -->40 Gigapascal (Check conversion here)

FINAL ANSWER

40 Gigapascal <-- Modulus of Rigidity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Stiffness Calculators

Mean Radius of Spring given Stiffness of Spring

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

Diameter of Spring Wire or Coil given Stiffness of Spring

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

Number of Spring Coils given Stiffness of Spring

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

Stiffness of Spring

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

Modulus of Rigidity given Stiffness of Spring Formula

LaTeX Go

Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4
G_Torsion = (64*K*R^3*N)/d^4

What is Spring?

A Spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.

How to Calculate Modulus of Rigidity given Stiffness of Spring?

Modulus of Rigidity given Stiffness of Spring calculator uses Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4 to calculate the Modulus of Rigidity, The Modulus of Rigidity given Stiffness of Spring formula is defined as a measure of body rigidity, given by the ratio of shear stress to shear strain. Modulus of Rigidity is denoted by G_Torsion symbol.

How to calculate Modulus of Rigidity given Stiffness of Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Stiffness of Spring, enter Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Diameter of Spring (d) and hit the calculate button. Here is how the Modulus of Rigidity given Stiffness of Spring calculation can be explained with given input values -> 4E-8 = (64*25000*0.225^3*9)/0.045^4.

FAQ

What is Modulus of Rigidity given Stiffness of Spring?

The Modulus of Rigidity given Stiffness of Spring formula is defined as a measure of body rigidity, given by the ratio of shear stress to shear strain and is represented as G_Torsion = (64*K*R^3*N)/d^4 or Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4. Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness, The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring, Number of Coils in spring is the total number of turns made by wire along its length & Diameter of Spring wire is the diameter of the wire from which a spring is made.

How to calculate Modulus of Rigidity given Stiffness of Spring?

The Modulus of Rigidity given Stiffness of Spring formula is defined as a measure of body rigidity, given by the ratio of shear stress to shear strain is calculated using Modulus of Rigidity = (64*Stiffness of Spring*Mean Radius^3*Number of Coils)/Diameter of Spring^4. To calculate Modulus of Rigidity given Stiffness of Spring, you need Stiffness of Spring (K), Mean Radius (R), Number of Coils (N) & Diameter of Spring (d). With our tool, you need to enter the respective value for Stiffness of Spring, Mean Radius, Number of Coils & Diameter of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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