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Ratio of Inner Diameter to Outer Diameter Formula

GoRatio of Diameters given Tensile Stress in Hollow Shaft Formula

GoRatio of Diameters given Bending Stress of Hollow Shaft Formula

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The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter. Check FAQs

C = \frac{d i}{d o}

C - Ratio of Inner to Outer Diameter of Hollow Shaft?d_i - Inner Diameter of Hollow Shaft?d_o - Outer Diameter of Hollow Shaft?

Ratio of Inner Diameter to Outer Diameter Example

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Here is how the Ratio of Inner Diameter to Outer Diameter equation looks like with Values.

Here is how the Ratio of Inner Diameter to Outer Diameter equation looks like with Units.

Here is how the Ratio of Inner Diameter to Outer Diameter equation looks like.

0.8478 = \frac{39}{46}

0.8478 = \frac{39mm}{46mm}

0.8478 = \frac{39}{46}

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Ratio of Inner Diameter to Outer Diameter Solution

Follow our step by step solution on how to calculate Ratio of Inner Diameter to Outer Diameter?

FIRST Step Consider the formula

C = \frac{d i}{d o}

Next Step Substitute values of Variables

∴

C = \frac{39mm}{46mm}

Next Step Convert Units

∴

C = \frac{0.039m}{0.046m}

Next Step Prepare to Evaluate

∴

C = \frac{0.039}{0.046}

Next Step Evaluate

∴

C = 0.847826086956522

LAST Step Rounding Answer

∴

C = 0.8478

Ratio of Inner Diameter to Outer Diameter Formula Elements

Variables

Ratio of Inner to Outer Diameter of Hollow Shaft

The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Ratio of Inner to Outer Diameter of Hollow Shaft

Inner Diameter of Hollow Shaft

Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the hollow shaft.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Hollow Shaft

Outer Diameter of Hollow Shaft

Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Shaft

Other Formulas to find Ratio of Inner to Outer Diameter of Hollow Shaft

Go Ratio of Diameters given Tensile Stress in Hollow Shaft

C = \sqrt{1 - (\frac{P ax hollow}{\frac{π}{4} \cdot σ tp \cdot {d o}^{2}})}

Go Ratio of Diameters given Bending Stress of Hollow Shaft

C = {(1 - 32 \cdot \frac{M b h}{π \cdot {d o}^{3} \cdot σ b h})}^{\frac{1}{4}}

Go Ratio of Diameter given Torsional Shear Stress in Hollow Shaft

C = {(1 - 16 \cdot \frac{Mt hollowshaft}{π \cdot {d o}^{3} \cdot 𝜏 h})}^{\frac{1}{4}}

Go Ratio of Diameters given Principle Stress

C = {(1 - 16 \cdot \frac{M b h + \sqrt{{M b h}^{2} + {Mt hollowshaft}^{2}}}{π \cdot {d o}^{3} \cdot τ})}^{\frac{1}{4}}

Other formulas in Design of Hollow Shaft category

Go Inner Diameter of Hollow Shaft given Ratio of Diameters

d i = C \cdot d o

Go Outer Diameter given Ratio of Diameters

d o = \frac{d i}{C}

Go Tensile Stress in Hollow Shaft when Subjected to Axial Force

σ tp = \frac{P ax hollow}{\frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})}

Go Axial Tensile Force given Tensile Stress in Hollow Shaft

P ax hollow = σ tp \cdot \frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})

How to Evaluate Ratio of Inner Diameter to Outer Diameter?

Ratio of Inner Diameter to Outer Diameter evaluator uses Ratio of Inner to Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Outer Diameter of Hollow Shaft to evaluate the Ratio of Inner to Outer Diameter of Hollow Shaft, Ratio of Inner Diameter to Outer Diameter formula is defined as a dimensionless value that represents the proportion of the inner diameter to the outer diameter of a hollow shaft, providing a critical design parameter in mechanical engineering applications. Ratio of Inner to Outer Diameter of Hollow Shaft is denoted by C symbol.

How to evaluate Ratio of Inner Diameter to Outer Diameter using this online evaluator? To use this online evaluator for Ratio of Inner Diameter to Outer Diameter, enter Inner Diameter of Hollow Shaft (d_i) & Outer Diameter of Hollow Shaft (d_o) and hit the calculate button.

FAQs on Ratio of Inner Diameter to Outer Diameter

What is the formula to find Ratio of Inner Diameter to Outer Diameter?

The formula of Ratio of Inner Diameter to Outer Diameter is expressed as Ratio of Inner to Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Outer Diameter of Hollow Shaft. Here is an example- 0.847826 = 0.039/0.046.

How to calculate Ratio of Inner Diameter to Outer Diameter?

With Inner Diameter of Hollow Shaft (d_i) & Outer Diameter of Hollow Shaft (d_o) we can find Ratio of Inner Diameter to Outer Diameter using the formula - Ratio of Inner to Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Outer Diameter of Hollow Shaft.

What are the other ways to Calculate Ratio of Inner to Outer Diameter of Hollow Shaft?

Here are the different ways to Calculate Ratio of Inner to Outer Diameter of Hollow Shaft-

Ratio of Inner to Outer Diameter of Hollow Shaft=sqrt(1-(Axial Force on Hollow Shaft/(pi/4*Tensile Stress in Hollow Shaft*Outer Diameter of Hollow Shaft^2)))
Ratio of Inner to Outer Diameter of Hollow Shaft=(1-32*Bending Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*Bending Stress in Hollow Shaft))^(1/4)
Ratio of Inner to Outer Diameter of Hollow Shaft=(1-16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*Torsional Shear Stress in Hollow Shaft))^(1/4)

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