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Mean Radius of Spring given Stiffness of Spring Formula

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The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring. Check FAQs

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

R - Mean Radius?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?K - Stiffness of Spring?N - Number of Coils?

Mean Radius of Spring given Stiffness of Spring Example

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

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

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

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

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Mean Radius of Spring given Stiffness of Spring Solution

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

FIRST Step Consider the formula

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G_{Torsion}})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.225m

LAST Step Convert to Output's Unit

∴

d = 225mm

Mean Radius of Spring given Stiffness of Spring Formula Elements

Variables

Mean Radius

The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius

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

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

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

Other formulas in Stiffness category

Go Stiffness of Spring

K = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot N}

Go Diameter of Spring Wire or Coil given Stiffness of Spring

d = {(\frac{64 \cdot K \cdot R^{3} \cdot N}{G Torsion})}^{\frac{1}{4}}

Go Number of Spring Coils given Stiffness of Spring

N = \frac{G Torsion \cdot d^{4}}{64 \cdot R^{3} \cdot K}

Go Modulus of Rigidity given Stiffness of Spring

G Torsion = \frac{64 \cdot K \cdot R^{3} \cdot N}{d^{4}}

How to Evaluate Mean Radius of Spring given Stiffness of Spring?

Mean Radius of Spring given Stiffness of Spring evaluator uses Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(64*Stiffness of Spring*Number of Coils))^(1/3) to evaluate the Mean Radius, The Mean Radius of Spring given Stiffness of Spring formula is defined as the average radius of the coil of the spring. It is the distance from the center of the spring wire to the centerline of the spring coil. Mean Radius is denoted by R symbol.

How to evaluate Mean Radius of Spring given Stiffness of Spring using this online evaluator? To use this online evaluator for Mean Radius of Spring given Stiffness of Spring, enter Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Stiffness of Spring (K) & Number of Coils (N) and hit the calculate button.

FAQs on Mean Radius of Spring given Stiffness of Spring

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

The formula of Mean Radius of Spring given Stiffness of Spring is expressed as Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(64*Stiffness of Spring*Number of Coils))^(1/3). Here is an example- 199611.8 = ((40000000000*0.045^4)/(64*25000*9))^(1/3).

How to calculate Mean Radius of Spring given Stiffness of Spring?

With Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Stiffness of Spring (K) & Number of Coils (N) we can find Mean Radius of Spring given Stiffness of Spring using the formula - Mean Radius = ((Modulus of Rigidity*Diameter of Spring^4)/(64*Stiffness of Spring*Number of Coils))^(1/3).

Can the Mean Radius of Spring given Stiffness of Spring be negative?

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

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

Mean Radius of Spring given Stiffness of 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 of Spring given Stiffness of Spring can be measured.

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Mean Radius of Spring given Stiffness of Spring Formula

Mean Radius of Spring given Stiffness of Spring Example

Mean Radius of Spring given Stiffness of Spring Solution

Mean Radius of Spring given Stiffness of Spring Formula Elements

Other formulas in Stiffness category

How to Evaluate Mean Radius of Spring given Stiffness of Spring?

FAQs on Mean Radius of Spring given Stiffness of Spring

Variable Name