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

GoMean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula

GoMean Radius of Spring Coil Formula

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

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

R - Mean Radius Spring Coil?𝜏_w - Maximum Shear Stress in Wire?d - Diameter of Spring Wire?P - Axial Load?π - Archimedes' constant?

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

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Here is how the Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire equation looks like with Values.

Here is how the Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire equation looks like with Units.

Here is how the Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire equation looks like.

5.5217 = \frac{16 \cdot 3.1416 \cdot 26^{3}}{16 \cdot 10}

5.5217mm = \frac{16MPa \cdot 3.1416 \cdot {26mm}^{3}}{16 \cdot 10kN}

5.5217 = \frac{16 \cdot 3.1416 \cdot 26^{3}}{16 \cdot 10}

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

Follow our step by step solution on how to calculate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = \frac{16MPa \cdot π \cdot {26mm}^{3}}{16 \cdot 10kN}

Next Step Substitute values of Constants

∴

R = \frac{16MPa \cdot 3.1416 \cdot {26mm}^{3}}{16 \cdot 10kN}

Next Step Convert Units

∴

R = \frac{1.6E+7Pa \cdot 3.1416 \cdot {0.026m}^{3}}{16 \cdot 10000N}

Next Step Prepare to Evaluate

∴

R = \frac{1.6E+7 \cdot 3.1416 \cdot {0.026}^{3}}{16 \cdot 10000}

Next Step Evaluate

∴

R = 0.00552166324794942m

Next Step Convert to Output's Unit

∴

R = 5.52166324794942mm

LAST Step Rounding Answer

∴

R = 5.5217mm

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

Variables

Constants

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

Maximum Shear Stress in Wire

Maximum Shear Stress in Wire that acts coplanar with cross-section of material, arises due to shear forces.

Symbol: 𝜏_w

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress in Wire

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Mean Radius Spring Coil

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 Coil

R = \frac{D}{P}

Other formulas in Mean Radius of Spring category

Go Compressed Length of Coil Spring

L c = L + G A

Go Total Axial Gap between Coils of Spring

G A = (N t - 1) \cdot G m

Go Pitch of Coil Spring

p = \frac{L f}{N t - 1}

Go Wire Diameter of Inner Spring given Wire Diameter of Outer Spring and Spring Index

d 2 = (\frac{C}{C - 2}) \cdot d 1

How to Evaluate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire evaluator uses Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load) to evaluate the Mean Radius Spring Coil, Mean radius of spring coil given maximum shear stress induced in wire is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Mean Radius Spring Coil is denoted by R symbol.

How to evaluate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire using this online evaluator? To use this online evaluator for Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire, enter Maximum Shear Stress in Wire (𝜏_w), Diameter of Spring Wire (d) & Axial Load (P) and hit the calculate button.

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

What is the formula to find Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

The formula of Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire is expressed as Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load). Here is an example- 6.8E+7 = (16000000*pi*0.026^3)/(16*10000).

How to calculate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

With Maximum Shear Stress in Wire (𝜏_w), Diameter of Spring Wire (d) & Axial Load (P) we can find Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire using the formula - Mean Radius Spring Coil = (Maximum Shear Stress in Wire*pi*Diameter of Spring Wire^3)/(16*Axial Load). This formula also uses Archimedes' constant .

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

Can the Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire be negative?

No, the Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire, measured in Length cannot be negative.

Which unit is used to measure Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire 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 Coil given Maximum Shear Stress Induced in Wire can be measured.

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

​GoMean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula

​GoMean Radius of Spring Coil Formula

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

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

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

Other Formulas to find Mean Radius Spring Coil

Other formulas in Mean Radius of Spring category

How to Evaluate Mean Radius of Spring Coil given Maximum Shear Stress Induced in Wire?

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

Variable Name

GoMean Radius of Spring Coil of Helical Spring given Stiffness of Spring Formula

GoMean Radius of Spring Coil Formula