Diameter of Shaft for Torque Required in Foot-Step Bearing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Dshaft = 2*((τ*t)/(pi^2*μ*N))^(1/4)
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.
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
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
Torque Exerted on Wheel: 50 Newton Meter --> 50 Newton Meter No Conversion Required
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
Dshaft = 2*((τ*t)/(pi^2*μ*N))^(1/4) --> 2*((50*1.2)/(pi^2*8.23*0.09))^(1/4)
Evaluating ... ...
Dshaft = 3.38518404852725
STEP 3: Convert Result to Output's Unit
3.38518404852725 Meter --> No Conversion Required
FINAL ANSWER
3.38518404852725 3.385184 Meter <-- Shaft Diameter
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
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 Torque Required in Foot-Step Bearing Formula

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

What is viscous resistance in foot-step bearing?

When we need to rotate a vertical shaft inside a fixed bearing, the viscous oil will be placed between the top of the bearing and the bottom surface of the shaft. In order to reduce the wear and tear, oil film will be provided between the top of the bearing and bottom surface of the shaft.

What is foot step bearing?

A bearing designed to support a vertical shaft or spindle, typically taking the form of a block having a cavity that accommodates the lower part of a shaft.

How to Calculate Diameter of Shaft for Torque Required in Foot-Step Bearing?

Diameter of Shaft for Torque Required in Foot-Step Bearing calculator uses Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4) to calculate the Shaft Diameter, The Diameter of shaft for torque required in foot-step bearing formula is known while considering the viscosity of oil or fluid, rotational speed, thickness, and the torque required to overcome viscous resistance. Shaft Diameter is denoted by Dshaft symbol.

How to calculate Diameter of Shaft for Torque Required in Foot-Step Bearing using this online calculator? To use this online calculator for Diameter of Shaft for Torque Required in Foot-Step Bearing, enter Torque Exerted on Wheel (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 Torque Required in Foot-Step Bearing calculation can be explained with given input values -> 4.630195 = 2*((50*1.2)/(pi^2*8.23*0.09))^(1/4).

FAQ

What is Diameter of Shaft for Torque Required in Foot-Step Bearing?
The Diameter of shaft for torque required in foot-step bearing formula is known while considering the viscosity of oil or fluid, rotational speed, thickness, and the torque required to overcome viscous resistance and is represented as Dshaft = 2*((τ*t)/(pi^2*μ*N))^(1/4) or Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4). Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, 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 Torque Required in Foot-Step Bearing?
The Diameter of shaft for torque required in foot-step bearing formula is known while considering the viscosity of oil or fluid, rotational speed, thickness, and the torque required to overcome viscous resistance is calculated using Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4). To calculate Diameter of Shaft for Torque Required in Foot-Step Bearing, you need Torque Exerted on Wheel (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 Torque Exerted on Wheel, 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 Torque Exerted on Wheel, 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 = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!