Inner Diameter of Hollow Shaft given Ratio of Diameters Calculator

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Design of Hollow Shaft

ASME Code for Shaft Desgin

Maximum Shear Stress and Principal Stress Theory

Shaft Design on Strength Basis

Torsional Rigidity

✖The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.ⓘ Ratio of Inner to Outer Diameter of Hollow Shaft [C]			+10% -10%
✖Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.ⓘ Outer Diameter of Hollow Shaft [d_o]			+10% -10%

✖Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the hollow shaft.ⓘ Inner Diameter of Hollow Shaft given Ratio of Diameters [d_i]

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Formula

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Inner Diameter of Hollow Shaft given Ratio of Diameters

Formula

`"d"_{"i"} = "C"*"d"_{"o"}`

Example

`"39.1mm"="0.85"*"46mm"`

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Inner Diameter of Hollow Shaft given Ratio of Diameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft
d_i = C*d_o
This formula uses 3 Variables

Variables Used

Inner Diameter of Hollow Shaft - (Measured in Meter) - Inner Diameter of Hollow Shaft is defined as the length of the longest chord inside the 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.
Outer Diameter of Hollow Shaft - (Measured in Meter) - Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

STEP 1: Convert Input(s) to Base Unit

Ratio of Inner to Outer Diameter of Hollow Shaft: 0.85 --> No Conversion Required
Outer Diameter of Hollow Shaft: 46 Millimeter --> 0.046 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_i = C*d_o --> 0.85*0.046

Evaluating ... ...

d_i = 0.0391

STEP 3: Convert Result to Output's Unit

0.0391 Meter -->39.1 Millimeter (Check conversion here)

FINAL ANSWER

39.1 Millimeter <-- Inner Diameter of Hollow Shaft

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 23 Design of Hollow Shaft Calculators

Outer Diameter of Hollow Shaft given Principle Stress

Go 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)

Ratio of Diameters given Principle Stress

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

Principle Stress Maximum Principle Stress Theory

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

Outer Diameter of Hollow Shaft given Angle of Twist Torsional Rigidity

Go Outer Diameter of Hollow Shaft = (584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Modulus of Rigidity of Hollow Shaft*Angle of Twist of Hollow Shaft*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/4)

Ratio of Diameters given Angle of Twist of Hollow Shaft and Torsional Rigidity

Go Ratio of Inner to Outer Diameter of Hollow Shaft = (1-584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*Angle of Twist of Hollow Shaft))^(1/4)

Length of Shaft given Angle of Twist of Hollow Shaft on Basis of Torsional Rigidity

Go Length of Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Torsional Moment in Hollow Shaft)

Torsional Moment given Angle of Twist on Basis of Torsional Rigidity

Go Torsional Moment in Hollow Shaft = Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft)

Modulus of Rigidity given Angle of Twist of Hollow Shaft on basis of Torsional Rigidity

Go Modulus of Rigidity of Hollow Shaft = 584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Angle of Twist of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Angle of Twist of Hollow Shaft on Basis of Torsional Rigidity

Go Angle of Twist of Hollow Shaft = 584*Torsional Moment in Hollow Shaft*Length of Hollow Shaft/(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Ratio of Diameters given Tensile Stress in Hollow Shaft

Go 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)))

Outer Diameter of Shaft given Torsional Shear Stress

Go 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)

Ratio of Diameter given Torsional Shear Stress in Hollow Shaft

Go 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)

Torsional Shear Stress when Shaft is Subjected to Pure Torsional Moment

Go Torsional Shear Stress in Hollow Shaft = 16*Torsional Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Torsional Moment given Torsional Shear Stress in Hollow Shaft

Go Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16

Outer Diameter of Hollow Shaft given Bending Stress of Hollow Shaft

Go 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)

Ratio of Diameters given Bending Stress of Hollow Shaft

Go 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)

Bending Moment given Bending Stress in Hollow Shaft

Go Bending Moment in Hollow Shaft = Bending Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-(Ratio of Inner to Outer Diameter of Hollow Shaft^4)))/32

Bending Stress in Hollow Shaft

Go Bending Stress in Hollow Shaft = 32*Bending Moment in Hollow Shaft/(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))

Tensile Stress in Hollow Shaft when Subjected to Axial Force

Go Tensile Stress in Hollow Shaft = Axial Force on Hollow Shaft/(pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2))

Axial Tensile Force given Tensile Stress in Hollow Shaft

Go Axial Force on Hollow Shaft = Tensile Stress in Hollow Shaft*pi/4*(Outer Diameter of Hollow Shaft^2-Inner Diameter of Hollow Shaft^2)

Inner Diameter of Hollow Shaft given Ratio of Diameters

Go Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft

Ratio of Inner Diameter to Outer Diameter

Go Ratio of Inner to Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Outer Diameter of Hollow Shaft

Outer Diameter given Ratio of Diameters

Go Outer Diameter of Hollow Shaft = Inner Diameter of Hollow Shaft/Ratio of Inner to Outer Diameter of Hollow Shaft

Inner Diameter of Hollow Shaft given Ratio of Diameters Formula

Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft
d_i = C*d_o

Use of finding the Ratio of Diameters

The design of hollow shaft consists of determining the correct inner and outer diameters from strength and rigidity considerations. Such shafts are subjected to axial tensile force, bending moment, torsional moment or combination of these loads.

How to Calculate Inner Diameter of Hollow Shaft given Ratio of Diameters?

Inner Diameter of Hollow Shaft given Ratio of Diameters calculator uses Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft to calculate the Inner Diameter of Hollow Shaft, The Inner Diameter of Hollow Shaft given Ratio of Diameters formula is defined as the length of the longest chord of the inside of a hollow shaft. Inner Diameter of Hollow Shaft is denoted by d_i symbol.

How to calculate Inner Diameter of Hollow Shaft given Ratio of Diameters using this online calculator? To use this online calculator for Inner Diameter of Hollow Shaft given Ratio of Diameters, enter Ratio of Inner to Outer Diameter of Hollow Shaft (C) & Outer Diameter of Hollow Shaft (d_o) and hit the calculate button. Here is how the Inner Diameter of Hollow Shaft given Ratio of Diameters calculation can be explained with given input values -> 39100 = 0.85*0.046.

FAQ

What is Inner Diameter of Hollow Shaft given Ratio of Diameters?

The Inner Diameter of Hollow Shaft given Ratio of Diameters formula is defined as the length of the longest chord of the inside of a hollow shaft and is represented as d_i = C*d_o or Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*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 & Outer Diameter of Hollow Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

How to calculate Inner Diameter of Hollow Shaft given Ratio of Diameters?

The Inner Diameter of Hollow Shaft given Ratio of Diameters formula is defined as the length of the longest chord of the inside of a hollow shaft is calculated using Inner Diameter of Hollow Shaft = Ratio of Inner to Outer Diameter of Hollow Shaft*Outer Diameter of Hollow Shaft. To calculate Inner Diameter of Hollow Shaft given Ratio of Diameters, you need Ratio of Inner to Outer Diameter of Hollow Shaft (C) & Outer Diameter of Hollow Shaft (d_o). With our tool, you need to enter the respective value for Ratio of Inner to Outer Diameter of Hollow Shaft & Outer Diameter of Hollow Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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