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

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+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 [G_Torsion]			+10% -10%
✖Diameter of Spring wire is the diameter of the wire of which a spring is made.ⓘ Diameter of Spring [d]			+10% -10%
✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Spring Load [W_load]			+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%

✖The Mean Radius spring coil is the mean radius of the coils of the spring.ⓘ Mean Radius of Spring given Deflection for Close-Coiled Helical Spring [R]

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Formula

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

Formula

`"R" = (("δ"*"G"_{"Torsion"}*"d"^4)/(64*"W"_{"load"}*"N"))^(1/3)`

Example

`"225mm"=(("3.4mm"*"40GPa"*("45mm")^4)/(64*"85N"*"9"))^(1/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3)
R = ((δ*G_Torsion*d^4)/(64*W_load*N))^(1/3)
This formula uses 6 Variables

Variables Used

Mean Radius - (Measured in Meter) - The Mean Radius spring coil is the mean radius of the coils of the spring.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
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.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire of which a spring is made.
Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Spring Load: 85 Newton --> 85 Newton No Conversion Required
Number of Coils: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((δ*G_Torsion*d^4)/(64*W_load*N))^(1/3) --> ((0.0034*40000000000*0.045^4)/(64*85*9))^(1/3)

Evaluating ... ...

R = 0.225

STEP 3: Convert Result to Output's Unit

0.225 Meter -->225 Millimeter (Check conversion here)

FINAL ANSWER

225 Millimeter <-- Mean Radius

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Close-Coiled Helical Spring » Mean Radius of Spring given Deflection for Close-Coiled Helical Spring

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< 6 Close-Coiled Helical Spring Calculators

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

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

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

Load Applied on Spring Axially given Deflection for Close-Coiled Helical Spring

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

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

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

Modulus of Rigidity given Deflection for Close-Coiled Helical Spring

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

Deflection for Close-Coiled Helical Spring

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

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

Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3)
R = ((δ*G_Torsion*d^4)/(64*W_load*N))^(1/3)

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

Mean Radius of Spring given Deflection for Close-Coiled Helical Spring calculator uses Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3) to calculate the Mean Radius, The Mean Radius of Spring given Deflection for Close-Coiled Helical Spring formula is defined as the mean radius of the entire spring assembly. Mean Radius is denoted by R symbol.

How to calculate Mean Radius of Spring given Deflection for Close-Coiled Helical Spring using this online calculator? To use this online calculator for Mean Radius of Spring given Deflection for Close-Coiled Helical Spring, enter Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Spring Load (W_load) & Number of Coils (N) and hit the calculate button. Here is how the Mean Radius of Spring given Deflection for Close-Coiled Helical Spring calculation can be explained with given input values -> 225000 = ((0.0034*40000000000*0.045^4)/(64*85*9))^(1/3).

FAQ

What is Mean Radius of Spring given Deflection for Close-Coiled Helical Spring?

The Mean Radius of Spring given Deflection for Close-Coiled Helical Spring formula is defined as the mean radius of the entire spring assembly and is represented as R = ((δ*G_Torsion*d^4)/(64*W_load*N))^(1/3) or Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3). Deflection of Spring is how a spring responds when force is applied or released, 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, Diameter of Spring wire is the diameter of the wire of which a spring is made, Spring Load is the instantaneous load applied perpendicular to the specimen cross section & Number of Coils in spring is the total number of turns made by wire along its length.

How to calculate Mean Radius of Spring given Deflection for Close-Coiled Helical Spring?

The Mean Radius of Spring given Deflection for Close-Coiled Helical Spring formula is defined as the mean radius of the entire spring assembly is calculated using Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3). To calculate Mean Radius of Spring given Deflection for Close-Coiled Helical Spring, you need Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Spring Load (W_load) & Number of Coils (N). With our tool, you need to enter the respective value for Deflection of Spring, Modulus of Rigidity, Diameter of Spring, Spring 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.

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