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Mean Radius of Spring Roll given Deflection of Spring Formula

GoMean Radius of Spring Coil Formula

GoMean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula

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Mean Radius Spring Coil is the mean radius of the coils of spring. Check FAQs

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

R - Mean Radius Spring Coil?U - Strain Energy?G - Modulus of Rigidity of Spring?d - Diameter of Spring Wire?P - Axial Load?N - Number of Coils?

Mean Radius of Spring Roll given Deflection of Spring Example

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

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

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

192.5622 = {(\frac{5 \cdot 4 \cdot 26^{4}}{64 \cdot (10) \cdot 2})}^{\frac{1}{3}}

192.5622mm = {(\frac{5KJ \cdot 4MPa \cdot {26mm}^{4}}{64 \cdot (10kN) \cdot 2})}^{\frac{1}{3}}

192.5622 = {(\frac{5 \cdot 4 \cdot 26^{4}}{64 \cdot (10) \cdot 2})}^{\frac{1}{3}}

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Mean Radius of Spring Roll given Deflection of Spring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = {(\frac{5KJ \cdot 4MPa \cdot {26mm}^{4}}{64 \cdot (10kN) \cdot 2})}^{\frac{1}{3}}

Next Step Convert Units

∴

R = {(\frac{5000J \cdot 4E+6Pa \cdot {0.026m}^{4}}{64 \cdot (10000N) \cdot 2})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R = {(\frac{5000 \cdot 4E+6 \cdot {0.026}^{4}}{64 \cdot (10000) \cdot 2})}^{\frac{1}{3}}

Next Step Evaluate

∴

R = 0.192562244446479m

Next Step Convert to Output's Unit

∴

R = 192.562244446479mm

LAST Step Rounding Answer

∴

R = 192.5622mm

Mean Radius of Spring Roll given Deflection of Spring Formula Elements

Variables

Mean Radius Spring Coil

Mean Radius Spring Coil is the mean radius of the coils of spring.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Radius Spring Coil

Strain Energy

The Strain Energy is defined as the energy stored in a body due to deformation.

Symbol: U

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Strain Energy

Modulus of Rigidity of Spring

Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is.

Symbol: G

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Spring

Diameter of Spring Wire

Diameter of spring wire is the diameter length of spring wire.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Spring Wire

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Number of Coils

The Number of Coils is the number of turns or number of active coils present. The coil is an electromagnet used to generate a magnetic field in an electro-magnetic machine.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Coils

Other Formulas to find Mean Radius Spring Coil

Go Mean Radius of Spring Coil

R = \frac{D}{P}

Go Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire

R = \frac{𝜏 w \cdot π \cdot d^{3}}{16 \cdot P}

Go Mean Radius of Spring Coil of Helical Spring given Stiffness of Spring

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

Go Mean Radius of Spring Rolls given Strain Energy Stored by Spring

R = {(\frac{U \cdot G \cdot d^{4}}{32 \cdot P^{2} \cdot N})}^{\frac{1}{3}}

How to Evaluate Mean Radius of Spring Roll given Deflection of Spring?

Mean Radius of Spring Roll given Deflection of Spring evaluator uses Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3) to evaluate the Mean Radius Spring Coil, Mean radius of spring roll given deflection of spring is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Mean Radius Spring Coil is denoted by R symbol.

How to evaluate Mean Radius of Spring Roll given Deflection of Spring using this online evaluator? To use this online evaluator for Mean Radius of Spring Roll given Deflection of Spring, enter Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Axial Load (P) & Number of Coils (N) and hit the calculate button.

FAQs on Mean Radius of Spring Roll given Deflection of Spring

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

The formula of Mean Radius of Spring Roll given Deflection of Spring is expressed as Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3). Here is an example- 1.3E+7 = ((5000*4000000*0.026^4)/(64*(10000)*2))^(1/3).

How to calculate Mean Radius of Spring Roll given Deflection of Spring?

With Strain Energy (U), Modulus of Rigidity of Spring (G), Diameter of Spring Wire (d), Axial Load (P) & Number of Coils (N) we can find Mean Radius of Spring Roll given Deflection of Spring using the formula - Mean Radius Spring Coil = ((Strain Energy*Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*(Axial Load)*Number of Coils))^(1/3).

What are the other ways to Calculate Mean Radius Spring Coil?

Here are the different ways to Calculate Mean Radius Spring Coil-

Mean Radius Spring Coil=Twisting Moments on Shells/Axial Load
Mean Radius Spring Coil=(Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load)
Mean Radius Spring Coil=((Modulus of Rigidity of Spring*Diameter of Spring Wire^4)/(64*Stiffness of Helical Spring*Number of Coils))^(1/3)

Can the Mean Radius of Spring Roll given Deflection of Spring be negative?

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

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

Mean Radius of Spring Roll given Deflection 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 Roll given Deflection of Spring can be measured.

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Mean Radius of Spring Roll given Deflection of Spring Formula

​GoMean Radius of Spring Coil Formula

​GoMean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula

Mean Radius of Spring Roll given Deflection of Spring Example

Mean Radius of Spring Roll given Deflection of Spring Solution

Mean Radius of Spring Roll given Deflection of Spring Formula Elements

Other Formulas to find Mean Radius Spring Coil

How to Evaluate Mean Radius of Spring Roll given Deflection of Spring?

FAQs on Mean Radius of Spring Roll given Deflection of Spring

Variable Name

GoMean Radius of Spring Coil Formula

GoMean Radius of Spring Coil given Maximum Shear Stress Induced in Wire Formula