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

✖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.ⓘ Torque Exerted on Wheel [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 Torque Required in Foot-Step Bearing [D_s]

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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)
D_s = 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: 49.99999 Newton Meter --> 49.99999 Newton Meter No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 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: 1.069076 Revolution per Minute --> 0.0178179333333333 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_s = 2*((τ*t)/(pi^2*μ*N))^(1/4) --> 2*((49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4)

Evaluating ... ...

D_s = 7.1099776702539

STEP 3: Convert Result to Output's Unit

7.1099776702539 Meter --> No Conversion Required

FINAL ANSWER

7.1099776702539 ≈ 7.109978 Meter <-- Shaft Diameter

(Calculation completed in 00.004 seconds)

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< Dimensions and Geometry Calculators

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

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

LaTeX 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

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

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

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

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

LaTeX Go

Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
D_s = 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, Diameter of Shaft for Torque Required in Foot-Step Bearing can be calculated using a formula that relates the shaft diameter to the applied torque and the bearing material's permissible stress. This formula is used to ensure that the shaft can withstand the applied torque without exceeding the material's stress limits, ensuring reliable and safe operation of the bearing. Shaft Diameter is denoted by D_s 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 -> 7.109978 = 2*((49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4).

FAQ

What is Diameter of Shaft for Torque Required in Foot-Step Bearing?

Diameter of Shaft for Torque Required in Foot-Step Bearing can be calculated using a formula that relates the shaft diameter to the applied torque and the bearing material's permissible stress. This formula is used to ensure that the shaft can withstand the applied torque without exceeding the material's stress limits, ensuring reliable and safe operation of the bearing and is represented as D_s = 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?

Diameter of Shaft for Torque Required in Foot-Step Bearing can be calculated using a formula that relates the shaft diameter to the applied torque and the bearing material's permissible stress. This formula is used to ensure that the shaft can withstand the applied torque without exceeding the material's stress limits, ensuring reliable and safe operation of the bearing 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)

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