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Outer Diameter given Ratio of Diameters Formula

GoOuter Diameter of Hollow Shaft given Bending Stress of Hollow Shaft Formula

GoOuter Diameter of Shaft given Torsional Shear Stress Formula

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

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

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

Outer Diameter given Ratio of Diameters Example

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Here is how the Outer Diameter given Ratio of Diameters equation looks like with Values.

Here is how the Outer Diameter given Ratio of Diameters equation looks like with Units.

Here is how the Outer Diameter given Ratio of Diameters equation looks like.

45.8824 = \frac{39}{0.85}

45.8824mm = \frac{39mm}{0.85}

45.8824 = \frac{39}{0.85}

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Outer Diameter given Ratio of Diameters Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d o = \frac{39mm}{0.85}

Next Step Convert Units

∴

d o = \frac{0.039m}{0.85}

Next Step Prepare to Evaluate

∴

d o = \frac{0.039}{0.85}

Next Step Evaluate

∴

d o = 0.0458823529411765m

Next Step Convert to Output's Unit

∴

d o = 45.8823529411765mm

LAST Step Rounding Answer

∴

d o = 45.8824mm

Outer Diameter given Ratio of Diameters Formula Elements

Variables

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

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

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

Other Formulas to find Outer Diameter of Hollow Shaft

Go Outer Diameter of Hollow Shaft given Bending Stress of Hollow Shaft

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

Go Outer Diameter of Shaft given Torsional Shear Stress

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

Go Outer Diameter of Hollow Shaft given Principle Stress

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

Go Outer Diameter of Hollow Shaft given Angle of Twist Torsional Rigidity

d o = {(584 \cdot Mt hollowshaft \cdot \frac{L h}{G h \cdot θ hollow \cdot (1 - C^{4})})}^{\frac{1}{4}}

Other formulas in Design of Hollow Shaft category

Go Ratio of Inner Diameter to Outer Diameter

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

Go Inner Diameter of Hollow Shaft given Ratio of Diameters

d i = C \cdot d o

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 Outer Diameter given Ratio of Diameters?

Outer Diameter given Ratio of Diameters evaluator uses Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Ratio of Inner to Outer Diameter of Hollow Shaft to evaluate the Outer Diameter of Hollow Shaft, Outer Diameter given Ratio of Diameters formula is defined as a measure of the outer diameter of a hollow shaft in mechanical design, which is critical in determining the shaft's strength, stability, and overall performance, and is essential in the design of hollow shafts in various mechanical systems. Outer Diameter of Hollow Shaft is denoted by d_o symbol.

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

FAQs on Outer Diameter given Ratio of Diameters

What is the formula to find Outer Diameter given Ratio of Diameters?

The formula of Outer Diameter given Ratio of Diameters is expressed as Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Ratio of Inner to Outer Diameter of Hollow Shaft. Here is an example- 45882.35 = 0.039/0.85.

How to calculate Outer Diameter given Ratio of Diameters?

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

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

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

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

Can the Outer Diameter given Ratio of Diameters be negative?

No, the Outer Diameter given Ratio of Diameters, measured in Length cannot be negative.

Which unit is used to measure Outer Diameter given Ratio of Diameters?

Outer Diameter given Ratio of Diameters is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Outer Diameter given Ratio of Diameters can be measured.

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