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

✖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_s]

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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_s = (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: 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 = (𝜏*t)/(pi*μ*N) --> (7.5*4.623171)/(pi*8.23*0.0178179333333333)

Evaluating ... ...

D_s = 75.2651935974163

STEP 3: Convert Result to Output's Unit

75.2651935974163 Meter --> No Conversion Required

FINAL ANSWER

75.2651935974163 ≈ 75.26519 Meter <-- Shaft Diameter

(Calculation completed in 00.004 seconds)

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< Dimensions and Geometry Calculators

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

LaTeX Go

Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)
D_s = (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, Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing can be calculated using a formula that relates the diameter to the fluid shear stress and the shaft's rotational speed. This formula is used to ensure that the shaft can handle the operational loads without exceeding the permissible shear stress of the fluid, thereby maintaining efficient and safe operation of the bearing. Shaft Diameter is denoted by D_s 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 -> 14.90078 = (7.5*4.623171)/(pi*8.23*0.0178179333333333).

FAQ

What is 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 can be calculated using a formula that relates the diameter to the fluid shear stress and the shaft's rotational speed. This formula is used to ensure that the shaft can handle the operational loads without exceeding the permissible shear stress of the fluid, thereby maintaining efficient and safe operation of the bearing and is represented as D_s = (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?

Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing can be calculated using a formula that relates the diameter to the fluid shear stress and the shaft's rotational speed. This formula is used to ensure that the shaft can handle the operational loads without exceeding the permissible shear stress of the fluid, thereby maintaining efficient and safe operation of the bearing 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)

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