Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing Calculator

↳

⤿

Viscous Flow

Draft Tube

Orifices and Mouthpieces

Properties of Surfaces and Solids

⤿

Dimensions and Geometry

Flow Analysis

Fluid Flow and Resistance

✖Shear Stress is a type of stress that acts coplanar with a cross-section of material.ⓘ Shear Stress [𝜏]			+10% -10%
✖Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.ⓘ Thickness of Oil Film [t]			+10% -10%
✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+10% -10%

✖Shaft Diameter is the diameter of the shaft of the pile.ⓘ Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing [D_shaft]

⎘ Copy

👎

Formula

✖

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing

Formula

`"D"_{"shaft"} = ("𝜏"*"t")/(pi*"μ"*"N")`

Example

`"3.867678m"=("7.5N/m²"*"1.2m")/(pi*"8.23N*s/m²"*"5.4rev/min")`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)
D_shaft = (𝜏*t)/(pi*μ*N)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.
Shear Stress - (Measured in Pascal) - Shear Stress is a type of stress that acts coplanar with a cross-section of material.
Thickness of Oil Film - (Measured in Meter) - Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 7.5 Newton per Square Meter --> 7.5 Pascal (Check conversion here)
Thickness of Oil Film: 1.2 Meter --> 1.2 Meter No Conversion Required
Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Mean Speed in RPM: 5.4 Revolution per Minute --> 0.09 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_shaft = (𝜏*t)/(pi*μ*N) --> (7.5*1.2)/(pi*8.23*0.09)

Evaluating ... ...

D_shaft = 3.86767783941422

STEP 3: Convert Result to Output's Unit

3.86767783941422 Meter --> No Conversion Required

FINAL ANSWER

3.86767783941422 ≈ 3.867678 Meter <-- Shaft Diameter

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Viscous Flow » Dimensions and Geometry » Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 19 Dimensions and Geometry Calculators

Radius of Capillary Tube

Go Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4)

Length of Tube in Capillary Tube Method

Go Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)

Diameter of Pipe for Loss of Pressure Head in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Length of Pipe for Loss of Pressure Head in Viscous Flow

Go Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)

External or Outer Radius of Collar for Total Torque

Go Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Internal or Inner Radius of Collar for Total Torque

Go Inner Radius of Collar = (Outer Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Diameter of Pipe for Difference in Pressure in Viscous Flow

Go Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))

Thickness of Oil Film for Shear Force in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)

Diameter of Pipe for Head Loss due to Friction in Viscous Flow

Go Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])

Length of Pipe for Head Loss due to Friction in Viscous Flow

Go Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing

Go Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)

Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)

Diameter of Shaft for Torque Required in Foot-Step Bearing

Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Thickness of Oil Film for Torque required in Foot-Step Bearing

Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel

Length of Pipe for Difference of Pressure in Viscous Flow

Go Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)

Diameter of Sphere in Falling Sphere Resistance Method

Go Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing Formula

Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)
D_shaft = (𝜏*t)/(pi*μ*N)

What is viscous resistance of journal bearing?

Let us consider that a shaft is rotating in a journal bearing and think that oil is used as a lubricant in order to fill the clearance between the shaft and journal bearing. Therefore oil will offer viscous resistance to the rotating shaft.

What is shear stress in the oil?

Shear forces acting tangentially to a surface of a solid body cause deformation. When the fluid is in motion, shear stresses are developed due to the particles in the fluid moving relative to one another. For a fluid flowing in a pipe, fluid velocity will be zero at the pipe wall.

How to Calculate Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing?

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing calculator uses Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM) to calculate the Shaft Diameter, The diameter of shaft for speed and shear stress of fluid in journal bearing formula is known while considering the viscosity of the fluid, the diameter of the shaft, shear stress of oil, and the speed of rotation. Shaft Diameter is denoted by D_shaft symbol.

How to calculate Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing using this online calculator? To use this online calculator for Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing, enter Shear Stress (𝜏), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N) and hit the calculate button. Here is how the Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing calculation can be explained with given input values -> 13.53687 = (7.5*1.2)/(pi*8.23*0.09).

FAQ

What is Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing?

The diameter of shaft for speed and shear stress of fluid in journal bearing formula is known while considering the viscosity of the fluid, the diameter of the shaft, shear stress of oil, and the speed of rotation and is represented as D_shaft = (𝜏*t)/(pi*μ*N) or Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM). Shear Stress is a type of stress that acts coplanar with a cross-section of material, Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil, The Viscosity of fluid is a measure of its resistance to deformation at a given rate & Mean Speed in RPM is an average of individual vehicle speeds.

How to calculate Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing?

The diameter of shaft for speed and shear stress of fluid in journal bearing formula is known while considering the viscosity of the fluid, the diameter of the shaft, shear stress of oil, and the speed of rotation is calculated using Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM). To calculate Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing, you need Shear Stress (𝜏), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N). With our tool, you need to enter the respective value for Shear Stress, Thickness of Oil Film, Viscosity of Fluid & Mean Speed in RPM and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shaft Diameter?

In this formula, Shaft Diameter uses Shear Stress, Thickness of Oil Film, Viscosity of Fluid & Mean Speed in RPM. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Home

FREE PDFs

🔍 Search