FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

Fx Copy

LaTeX Copy

Shaft Diameter is the diameter of the shaft of the pile. Check FAQs

D s = \frac{𝜏 \cdot t}{π \cdot μ \cdot N}

D_s - Shaft Diameter?𝜏 - Shear Stress?t - Thickness of Oil Film?μ - Viscosity of Fluid?N - Mean Speed in RPM?π - Archimedes' constant?

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

With values

With units

Only example

Here is how the Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing equation looks like with Values.

Here is how the Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing equation looks like with Units.

Here is how the Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing equation looks like.

75.2652 = \frac{7.5 \cdot 4.6232}{3.1416 \cdot 8.23 \cdot 1.0691}

75.2652m = \frac{7.5N/m² \cdot 4.6232m}{3.1416 \cdot 8.23N*s/m² \cdot 1.0691rev/min}

75.2652 = \frac{7.5 \cdot 4.6232}{3.1416 \cdot 8.23 \cdot 1.0691}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Fluid Mechanics » fx 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 Solution

Follow our step by step solution on how to calculate Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing?

FIRST Step Consider the formula

D s = \frac{𝜏 \cdot t}{π \cdot μ \cdot N}

Next Step Substitute values of Variables

∴

D s = \frac{7.5N/m² \cdot 4.6232m}{π \cdot 8.23N*s/m² \cdot 1.0691rev/min}

Next Step Substitute values of Constants

∴

D s = \frac{7.5N/m² \cdot 4.6232m}{3.1416 \cdot 8.23N*s/m² \cdot 1.0691rev/min}

Next Step Convert Units

∴

D s = \frac{7.5Pa \cdot 4.6232m}{3.1416 \cdot 8.23Pa*s \cdot 0.0178Hz}

Next Step Prepare to Evaluate

∴

D s = \frac{7.5 \cdot 4.6232}{3.1416 \cdot 8.23 \cdot 0.0178}

Next Step Evaluate

∴

D s = 75.2651935974163m

LAST Step Rounding Answer

∴

D s = 75.2652m

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

Variables

Constants

Shaft Diameter

Shaft Diameter is the diameter of the shaft of the pile.

Symbol: D_s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Shaft Diameter

Shear Stress

Shear Stress is a type of stress that acts coplanar with a cross-section of material.

Symbol: 𝜏

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Shear Stress

Thickness of Oil Film

Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Oil Film

Viscosity of Fluid

The Viscosity of fluid is a measure of its resistance to deformation at a given rate.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid

Mean Speed in RPM

Mean Speed in RPM is an average of individual vehicle speeds.

Symbol: N

Measurement: FrequencyUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Mean Speed in RPM

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Shaft Diameter

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

D s = 2 \cdot {(\frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

Other formulas in Dimensions and Geometry category

Go Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

d o = \frac{2 \cdot r}{\sqrt{1 - \frac{V}{V m}}}

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

L = \frac{Δp \cdot t^{2}}{12 \cdot μ \cdot V}

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

L = \frac{ρ \cdot [g] \cdot h f \cdot t^{2}}{12 \cdot μ \cdot V}

Go External or Outer Radius of Collar for Total Torque

R 1 = {({R 2}^{4} + \frac{τ \cdot t}{π^{2} \cdot μ \cdot N})}^{\frac{1}{4}}

How to Evaluate 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 evaluator uses Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM) to evaluate 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 evaluate Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing?

The formula of Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing is expressed as Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM). Here is an example- 14.90078 = (7.5*4.623171)/(pi*8.23*0.0178179333333333).

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

With Shear Stress (𝜏), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N) we can find Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing using the formula - Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM). This formula also uses Archimedes' constant .

What are the other ways to Calculate Shaft Diameter?

Here are the different ways to Calculate Shaft Diameter-

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

Can the Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing be negative?

Yes, the Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing, measured in Length can be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

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

​GoDiameter of Shaft for Torque Required in Foot-Step Bearing Formula

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

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

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

Other Formulas to find Shaft Diameter

Other formulas in Dimensions and Geometry category

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

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

Variable Name

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