Shear Stress in Fluid or Oil of Journal Bearing Calculator

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✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Shaft Diameter is the diameter of the shaft of the pile.ⓘ Shaft Diameter [D_shaft]			+10% -10%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+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%

✖Shear Stress is a type of stress that acts coplanar with a cross-section of material.ⓘ Shear Stress in Fluid or Oil of Journal Bearing [𝜏]

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Formula

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Shear Stress in Fluid or Oil of Journal Bearing

Formula

`"𝜏" = (pi*"μ"*"D"_{"shaft"}*"N")/(60*"t")`

Example

`"0.122813N/m²"=(pi*"8.23N*s/m²"*"3.8m"*"5.4rev/min")/(60*"1.2m")`

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Shear Stress in Fluid or Oil of Journal Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
𝜏 = (pi*μ*D_shaft*N)/(60*t)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress is a type of stress that acts coplanar with a cross-section of material.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
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.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Shaft Diameter: 3.8 Meter --> 3.8 Meter No Conversion Required
Mean Speed in RPM: 5.4 Revolution per Minute --> 0.09 Hertz (Check conversion here)
Thickness of Oil Film: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (pi*μ*D_shaft*N)/(60*t) --> (pi*8.23*3.8*0.09)/(60*1.2)

Evaluating ... ...

𝜏 = 0.122812710810459

STEP 3: Convert Result to Output's Unit

0.122812710810459 Pascal -->0.122812710810459 Newton per Square Meter (Check conversion here)

FINAL ANSWER

0.122812710810459 ≈ 0.122813 Newton per Square Meter <-- Shear Stress

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Fluid Flow and Resistance » Shear Stress in Fluid or Oil of Journal Bearing

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PSG College of Technology (PSGCT), Coimbatore

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< 21 Fluid Flow and Resistance Calculators

Total Torque Measured by Strain in Rotating Cylinder Method

Go Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)

Angular Speed of Outer Cylinder in Rotating Cylinder Method

Go Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))

Discharge in Capillary Tube Method

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

Rotational Speed for Torque Required in Collar Bearing

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

Torque Required to Overcome Viscous Resistance in Collar Bearing

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

Velocity of Piston or Body for Movement of Piston in Dash-Pot

Go Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)

Shear Force or Viscous Resistance in Journal Bearing

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

Speed of Rotation for Shear Force in Journal Bearing

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

Shear Stress in Fluid or Oil of Journal Bearing

Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)

Rotational Speed for Torque Required in Foot-Step Bearing

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

Torque Required to Overcome Viscous Resistance in Foot-Step Bearing

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

Velocity of Sphere in Falling Sphere Resistance Method

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

Drag Force in Falling Sphere Resistance Method

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

Density of Fluid in Falling Sphere Resistance Method

Go Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])

Buoyant Force in Falling Sphere Resistance Method

Go Buoyant Force = pi/6*Density of Liquid*[g]*Diameter of Sphere^3

Velocity at Any Radius given Radius of Pipe, and Maximum Velocity

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

Maximum Velocity at any Radius using Velocity

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

Rotational Speed considering Power Absorbed and Torque in Journal Bearing

Go Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)

Torque Required Considering Power Absorbed in Journal Bearing

Go Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)

Shear Force for Torque and Diameter of Shaft in Journal Bearing

Go Shear Force = Torque Exerted on Wheel/(Shaft Diameter/2)

Torque Required to Overcome Shear Force in Journal Bearing

Go Torque Exerted on Wheel = Shear Force*Shaft Diameter/2

Shear Stress in Fluid or Oil of Journal Bearing Formula

Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
𝜏 = (pi*μ*D_shaft*N)/(60*t)

What is viscous resistance of journal bearing?

When a shaft is rotating in a journal bearing, the oil used acts 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 in the journal bearing.

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 Shear Stress in Fluid or Oil of Journal Bearing?

Shear Stress in Fluid or Oil of Journal Bearing calculator uses Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film) to calculate the Shear Stress, The Shear stress in fluid or oil of journal bearing formula is known while considering the viscosity of the fluid, diameter of the shaft, the thickness of oil film, and the speed of rotation. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress in Fluid or Oil of Journal Bearing using this online calculator? To use this online calculator for Shear Stress in Fluid or Oil of Journal Bearing, enter Viscosity of Fluid (μ), Shaft Diameter (D_shaft), Mean Speed in RPM (N) & Thickness of Oil Film (t) and hit the calculate button. Here is how the Shear Stress in Fluid or Oil of Journal Bearing calculation can be explained with given input values -> 0.035089 = (pi*8.23*3.8*0.09)/(60*1.2).

FAQ

What is Shear Stress in Fluid or Oil of Journal Bearing?

The Shear stress in fluid or oil of journal bearing formula is known while considering the viscosity of the fluid, diameter of the shaft, the thickness of oil film, and the speed of rotation and is represented as 𝜏 = (pi*μ*D_shaft*N)/(60*t) or Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film). The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Shaft Diameter is the diameter of the shaft of the pile, Mean Speed in RPM is an average of individual vehicle speeds & Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

How to calculate Shear Stress in Fluid or Oil of Journal Bearing?

The Shear stress in fluid or oil of journal bearing formula is known while considering the viscosity of the fluid, diameter of the shaft, the thickness of oil film, and the speed of rotation is calculated using Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film). To calculate Shear Stress in Fluid or Oil of Journal Bearing, you need Viscosity of Fluid (μ), Shaft Diameter (D_shaft), Mean Speed in RPM (N) & Thickness of Oil Film (t). With our tool, you need to enter the respective value for Viscosity of Fluid, Shaft Diameter, Mean Speed in RPM & Thickness of Oil Film 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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