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Mean Radius given Stiffness of Square Section Wire Spring Formula

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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. Check FAQs

R sq = {(\frac{G Torsion \cdot d^{4}}{44.7 \cdot N \cdot K})}^{\frac{1}{3}}

R_sq - Mean Radius of Square Section Wire Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?N - Number of Coils?K - Stiffness of Spring?

Mean Radius given Stiffness of Square Section Wire Spring Example

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Here is how the Mean Radius given Stiffness of Square Section Wire Spring equation looks like with Values.

Here is how the Mean Radius given Stiffness of Square Section Wire Spring equation looks like with Units.

Here is how the Mean Radius given Stiffness of Square Section Wire Spring equation looks like.

253.5946 = {(\frac{40 \cdot 45^{4}}{44.7 \cdot 9 \cdot 25})}^{\frac{1}{3}}

253.5946mm = {(\frac{40GPa \cdot {45mm}^{4}}{44.7 \cdot 9 \cdot 25N/mm})}^{\frac{1}{3}}

253.5946 = {(\frac{40 \cdot 45^{4}}{44.7 \cdot 9 \cdot 25})}^{\frac{1}{3}}

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Mean Radius given Stiffness of Square Section Wire Spring Solution

Follow our step by step solution on how to calculate Mean Radius given Stiffness of Square Section Wire Spring?

FIRST Step Consider the formula

R sq = {(\frac{G Torsion \cdot d^{4}}{44.7 \cdot N \cdot K})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

R sq = {(\frac{40GPa \cdot {45mm}^{4}}{44.7 \cdot 9 \cdot 25N/mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

R sq = {(\frac{4E+10Pa \cdot {0.045m}^{4}}{44.7 \cdot 9 \cdot 25000N/m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R sq = {(\frac{4E+10 \cdot {0.045}^{4}}{44.7 \cdot 9 \cdot 25000})}^{\frac{1}{3}}

Next Step Evaluate

∴

R sq = 0.253594600124304m

Next Step Convert to Output's Unit

∴

R sq = 253.594600124304mm

LAST Step Rounding Answer

∴

R sq = 253.5946mm

Mean Radius given Stiffness of Square Section Wire Spring Formula Elements

Variables

Mean Radius of Square Section Wire Spring

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.

Symbol: R_sq

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius of Square Section Wire Spring

Modulus of Rigidity

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.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Diameter of Spring

Diameter of Spring wire is the diameter of the wire from which a spring is made.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring

Number of Coils

Number of Coils in spring is the total number of turns made by wire along its length.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: K

Measurement: Stiffness ConstantUnit: N/mm

Note: Value can be positive or negative.

Formulas to find Stiffness of Spring

Other formulas in Square Section Wire category

Go Width given Stiffness of Square Section Wire Spring

w sq = {(\frac{K \cdot 44.7 \cdot R^{3} \cdot N}{G Torsion})}^{\frac{1}{4}}

Go Number of Spring Coils given Stiffness of Square Section Wire Spring

N sq = \frac{G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot K}

Go Modulus of Rigidity given Stiffness of Square Section Wire Spring

G sq = \frac{K \cdot 44.7 \cdot R^{3} \cdot N}{d^{4}}

Go Stiffness of Square Section Wire Spring

K sq = \frac{G Torsion \cdot d^{4}}{44.7 \cdot R^{3} \cdot N}

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

Mean Radius given Stiffness of Square Section Wire Spring evaluator 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 evaluate 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 evaluate Mean Radius given Stiffness of Square Section Wire Spring using this online evaluator? To use this online evaluator 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.

FAQs on Mean Radius given Stiffness of Square Section Wire Spring

What is the formula to find Mean Radius given Stiffness of Square Section Wire Spring?

The formula of Mean Radius given Stiffness of Square Section Wire Spring is expressed as Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3). Here is an example- 253594.6 = ((40000000000*0.045^4)/(44.7*9*25000))^(1/3).

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

With Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Number of Coils (N) & Stiffness of Spring (K) we can find Mean Radius given Stiffness of Square Section Wire Spring using the formula - Mean Radius of Square Section Wire Spring = ((Modulus of Rigidity*Diameter of Spring^4)/(44.7*Number of Coils*Stiffness of Spring))^(1/3).

Can the Mean Radius given Stiffness of Square Section Wire Spring be negative?

No, the Mean Radius given Stiffness of Square Section Wire Spring, measured in Length cannot be negative.

Which unit is used to measure Mean Radius given Stiffness of Square Section Wire Spring?

Mean Radius given Stiffness of Square Section Wire Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Radius given Stiffness of Square Section Wire Spring can be measured.

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Mean Radius given Stiffness of Square Section Wire Spring Formula

Mean Radius given Stiffness of Square Section Wire Spring Example

Mean Radius given Stiffness of Square Section Wire Spring Solution

Mean Radius given Stiffness of Square Section Wire Spring Formula Elements

Other formulas in Square Section Wire category

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

FAQs on Mean Radius given Stiffness of Square Section Wire Spring

Variable Name