Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Calculator

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Spring Load [W_load]			+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%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+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 Deflection for Close-Coiled Helical Spring [G_Torsion]

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Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4)
G_Torsion = (64*W_load*R^3*N)/(δ*d^4)
This formula uses 6 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.
Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
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.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
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

Spring Load: 85 Newton --> 85 Newton No Conversion Required
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_Torsion = (64*W_load*R^3*N)/(δ*d^4) --> (64*85*0.225^3*9)/(0.0034*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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Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Close Coiled Helical Spring » Modulus of Rigidity given Deflection for Close-Coiled Helical Spring

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< Close Coiled Helical Spring Calculators

Diameter of Spring Wire or Coil given Deflection for Close-Coiled Helical Spring

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

Mean Radius of Spring given Deflection for Close-Coiled Helical Spring

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

Number of Spring Coils given Deflection for Close-Coiled Helical Spring

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

Deflection for Close-Coiled Helical Spring

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

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring Formula

LaTeX Go

Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4)
G_Torsion = (64*W_load*R^3*N)/(δ*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. 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 Deflection for Close-Coiled Helical Spring?

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring calculator uses Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4) to calculate the Modulus of Rigidity, The Modulus of Rigidity given Deflection for Close-Coiled Helical Spring formula is defined as the measure of the rigidity of the body, 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 Deflection for Close-Coiled Helical Spring using this online calculator? To use this online calculator for Modulus of Rigidity given Deflection for Close-Coiled Helical Spring, enter Spring Load (W_load), Mean Radius (R), Number of Coils (N), Deflection of Spring (δ) & Diameter of Spring (d) and hit the calculate button. Here is how the Modulus of Rigidity given Deflection for Close-Coiled Helical Spring calculation can be explained with given input values -> 4E-8 = (64*85*0.225^3*9)/(0.0034*0.045^4).

FAQ

What is Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

The Modulus of Rigidity given Deflection for Close-Coiled Helical Spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain and is represented as G_Torsion = (64*W_load*R^3*N)/(δ*d^4) or Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4). Spring Load is the instantaneous load applied perpendicular to the specimen cross section, 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, Deflection of Spring is how a spring responds when force is applied or released & Diameter of Spring wire is the diameter of the wire from which a spring is made.

How to calculate Modulus of Rigidity given Deflection for Close-Coiled Helical Spring?

The Modulus of Rigidity given Deflection for Close-Coiled Helical Spring formula is defined as the measure of the rigidity of the body, given by the ratio of shear stress to shear strain is calculated using Modulus of Rigidity = (64*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4). To calculate Modulus of Rigidity given Deflection for Close-Coiled Helical Spring, you need Spring Load (W_load), Mean Radius (R), Number of Coils (N), Deflection of Spring (δ) & Diameter of Spring (d). With our tool, you need to enter the respective value for Spring Load, Mean Radius, Number of Coils, Deflection of Spring & 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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