Mean radius given Deflection of Square Section Wire 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 from 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 of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.ⓘ Mean radius given Deflection of Square Section Wire Spring [R]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Deflection in Spring Formulas PDF PDF Image

Mean radius given Deflection of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3)
R = ((δ*G_Torsion*d^4)/(44.7*W_load*N))^(1/3)
This formula uses 6 Variables

Variables Used

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.
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 from 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)/(44.7*W_load*N))^(1/3) --> ((0.0034*40000000000*0.045^4)/(44.7*85*9))^(1/3)

Evaluating ... ...

R = 0.253594600124304

STEP 3: Convert Result to Output's Unit

0.253594600124304 Meter -->253.594600124304 Millimeter (Check conversion here)

FINAL ANSWER

253.594600124304 ≈ 253.5946 Millimeter <-- Mean Radius

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Spring of Square Section Wire » Mean radius given Deflection of Square Section Wire Spring

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Spring of Square Section Wire Calculators

Mean radius given Deflection of Square Section Wire Spring

LaTeX Go Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3)

Modulus of Rigidity using Deflection of Square Section Wire Spring

LaTeX Go Modulus of Rigidity = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4)

Load given Deflection of Square Section Wire Spring

LaTeX Go Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)

Deflection of Square Section Wire Spring

LaTeX Go Deflection of Spring = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4)

Mean radius given Deflection of Square Section Wire Spring Formula

LaTeX Go

Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3)
R = ((δ*G_Torsion*d^4)/(44.7*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 given Deflection of Square Section Wire Spring?

Mean radius given Deflection of Square Section Wire Spring calculator uses Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3) to calculate the Mean Radius, The Mean radius given Deflection of Square Section Wire Spring formula is defined as the radius of an equivalent helical spring. Mean Radius is denoted by R symbol.

How to calculate Mean radius given Deflection of Square Section Wire Spring using this online calculator? To use this online calculator for Mean radius given Deflection of Square Section Wire 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 given Deflection of Square Section Wire Spring calculation can be explained with given input values -> 224979.9 = ((0.0034*40000000000*0.045^4)/(44.7*85*9))^(1/3).

FAQ

What is Mean radius given Deflection of Square Section Wire Spring?

The Mean radius given Deflection of Square Section Wire Spring formula is defined as the radius of an equivalent helical spring and is represented as R = ((δ*G_Torsion*d^4)/(44.7*W_load*N))^(1/3) or Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*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 from 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 given Deflection of Square Section Wire Spring?

The Mean radius given Deflection of Square Section Wire Spring formula is defined as the radius of an equivalent helical spring is calculated using Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3). To calculate Mean radius given Deflection of Square Section Wire 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.

Home

FREE PDFs

🔍 Search