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Mean Radius of Spring given Deflection for Close-Coiled Helical 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

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

R - Mean Radius?δ - Deflection of Spring?G_Torsion - Modulus of Rigidity?d - Diameter of Spring?W_load - Spring Load?N - Number of Coils?

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

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Here is how the Mean Radius of Spring given Deflection for Close-Coiled Helical Spring equation looks like with Values.

Here is how the Mean Radius of Spring given Deflection for Close-Coiled Helical Spring equation looks like with Units.

Here is how the Mean Radius of Spring given Deflection for Close-Coiled Helical Spring equation looks like.

225 = {(\frac{3.4 \cdot 40 \cdot 45^{4}}{64 \cdot 85 \cdot 9})}^{\frac{1}{3}}

225mm = {(\frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{64 \cdot 85N \cdot 9})}^{\frac{1}{3}}

225 = {(\frac{3.4 \cdot 40 \cdot 45^{4}}{64 \cdot 85 \cdot 9})}^{\frac{1}{3}}

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

Follow our step by step solution on how to calculate Mean Radius of Spring given Deflection for Close-Coiled Helical Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = {(\frac{3.4mm \cdot 40GPa \cdot {45mm}^{4}}{64 \cdot 85N \cdot 9})}^{\frac{1}{3}}

Next Step Convert Units

∴

R = {(\frac{0.0034m \cdot 4E+10Pa \cdot {0.045m}^{4}}{64 \cdot 85N \cdot 9})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R = {(\frac{0.0034 \cdot 4E+10 \cdot {0.045}^{4}}{64 \cdot 85 \cdot 9})}^{\frac{1}{3}}

Next Step Evaluate

∴

R = 0.225m

LAST Step Convert to Output's Unit

∴

R = 225mm

Mean Radius of Spring given Deflection for Close-Coiled Helical 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

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of 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

Spring Load

Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Spring Load

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 Close Coiled Helical Spring category

Go Deflection for Close-Coiled Helical Spring

δ = \frac{64 \cdot W load \cdot R^{3} \cdot N}{G Torsion \cdot d^{4}}

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

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

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

N = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot W load \cdot R^{3}}

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

W load = \frac{δ \cdot G Torsion \cdot d^{4}}{64 \cdot N \cdot R^{3}}

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

Mean Radius of Spring given Deflection for Close-Coiled Helical Spring evaluator uses Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3) to evaluate 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 evaluate Mean Radius of Spring given Deflection for Close-Coiled Helical Spring using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Mean Radius of Spring given Deflection for Close-Coiled Helical Spring?

The formula of Mean Radius of Spring given Deflection for Close-Coiled Helical Spring is expressed as Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3). Here is an example- 199611.8 = ((0.0034*40000000000*0.045^4)/(64*85*9))^(1/3).

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

With Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Spring Load (W_load) & Number of Coils (N) we can find Mean Radius of Spring given Deflection for Close-Coiled Helical Spring using the formula - Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(64*Spring Load*Number of Coils))^(1/3).

Can the Mean Radius of Spring given Deflection for Close-Coiled Helical Spring be negative?

No, the Mean Radius of Spring given Deflection for Close-Coiled Helical Spring, measured in Length cannot be negative.

Which unit is used to measure Mean Radius of Spring given Deflection for Close-Coiled Helical Spring?

Mean Radius of Spring given Deflection for Close-Coiled Helical 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 Deflection for Close-Coiled Helical Spring can be measured.

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

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

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

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

Other formulas in Close Coiled Helical Spring category

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

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

Variable Name