Mean Radius given Stiffness of Square Section Wire Spring Calculator

✖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%
✖Number of Coils in spring is the total number of turns made by wire along its length.ⓘ Number of Coils [N]			+10% -10%
✖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%

✖Mean Radius of Square Section Wire Spring is the average distance from the center of the spring coil to the center of the square cross-sectional area of the wire used to form the spring.ⓘ Mean Radius given Stiffness of Square Section Wire Spring [R_sq]

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Mean Radius given Stiffness of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3)
R_sq = ((G_Torsion*d^4)/(44.7*N*K))^(1/3)
This formula uses 5 Variables

Variables Used

Mean Radius of Square Section Wire Spring - (Measured in Meter) - Mean Radius of Square Section Wire Spring is the average distance from the center of the spring coil to the center of the square cross-sectional area of the wire used to form the spring.
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.
Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
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.

STEP 1: Convert Input(s) to Base Unit

Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Number of Coils: 9 --> No Conversion Required
Stiffness of Spring: 25 Newton per Millimeter --> 25000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_sq = ((G_Torsion*d^4)/(44.7*N*K))^(1/3) --> ((40000000000*0.045^4)/(44.7*9*25000))^(1/3)

Evaluating ... ...

R_sq = 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 of Square Section Wire Spring

(Calculation completed in 00.020 seconds)

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< Square Section Wire Calculators

Mean Radius given Stiffness of Square Section Wire Spring

LaTeX Go Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3)

Number of Spring Coils given Stiffness of Square Section Wire Spring

LaTeX Go Number of Spring Coils of Sq. Sec. Wire Spring = (Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Stiffness of Spring)

Modulus of Rigidity given Stiffness of Square Section Wire Spring

LaTeX Go Modulus of Rigidity of Square Section Wire Spring = (Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Diameter of Spring^4

Width given Stiffness of Square Section Wire Spring

LaTeX Go Width of Square Section Wire Spring = ((Stiffness of Spring*44.7*Mean Radius^3*Number of Coils)/Modulus of Rigidity)^(1/4)

Mean Radius given Stiffness of Square Section Wire Spring Formula

LaTeX Go

Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3)
R_sq = ((G_Torsion*d^4)/(44.7*N*K))^(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.

How to Calculate Mean Radius given Stiffness of Square Section Wire Spring?

Mean Radius given Stiffness of Square Section Wire Spring calculator uses Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3) to calculate the Mean Radius of Square Section Wire Spring, The Mean Radius given Stiffness of Square Section Wire Spring formula is defined as the average distance from the center of the spring coil to the center of the square cross-sectional area of the wire used to form the spring. Mean Radius of Square Section Wire Spring is denoted by R_sq symbol.

How to calculate Mean Radius given Stiffness of Square Section Wire Spring using this online calculator? To use this online calculator for Mean Radius given Stiffness of Square Section Wire Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Number of Coils (N) & Stiffness of Spring (K) and hit the calculate button. Here is how the Mean Radius given Stiffness of Square Section Wire Spring calculation can be explained with given input values -> 253594.6 = ((40000000000*0.045^4)/(44.7*9*25000))^(1/3).

FAQ

What is Mean Radius given Stiffness of Square Section Wire Spring?

The Mean Radius given Stiffness of Square Section Wire Spring formula is defined as the average distance from the center of the spring coil to the center of the square cross-sectional area of the wire used to form the spring and is represented as R_sq = ((G_Torsion*d^4)/(44.7*N*K))^(1/3) or Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3). 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, Number of Coils in spring is the total number of turns made by wire along its length & Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

How to calculate Mean Radius given Stiffness of Square Section Wire Spring?

The Mean Radius given Stiffness of Square Section Wire Spring formula is defined as the average distance from the center of the spring coil to the center of the square cross-sectional area of the wire used to form the spring is calculated using Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3). To calculate Mean Radius given Stiffness of Square Section Wire Spring, you need Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Number of Coils (N) & Stiffness of Spring (K). With our tool, you need to enter the respective value for Modulus of Rigidity, Diameter of Spring, Number of Coils & Stiffness 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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