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

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

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

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

D_s - Shaft Diameter?τ - Torque Exerted on Wheel?t - Thickness of Oil Film?μ - Viscosity of Fluid?N - Mean Speed in RPM?π - Archimedes' constant?

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

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Here is how the Diameter of Shaft for Torque Required in Foot-Step Bearing equation looks like with Values.

Here is how the Diameter of Shaft for Torque Required in Foot-Step Bearing equation looks like with Units.

Here is how the Diameter of Shaft for Torque Required in Foot-Step Bearing equation looks like.

7.11 = 2 \cdot {(\frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 1.0691})}^{\frac{1}{4}}

7.11m = 2 \cdot {(\frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

7.11 = 2 \cdot {(\frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 1.0691})}^{\frac{1}{4}}

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

Follow our step by step solution on how to calculate Diameter of Shaft for Torque Required in Foot-Step Bearing?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D s = 2 \cdot {(\frac{50N*m \cdot 4.6232m}{π^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

D s = 2 \cdot {(\frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23N*s/m² \cdot 1.0691rev/min})}^{\frac{1}{4}}

Next Step Convert Units

∴

D s = 2 \cdot {(\frac{50N*m \cdot 4.6232m}{{3.1416}^{2} \cdot 8.23Pa*s \cdot 0.0178Hz})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

D s = 2 \cdot {(\frac{50 \cdot 4.6232}{{3.1416}^{2} \cdot 8.23 \cdot 0.0178})}^{\frac{1}{4}}

Next Step Evaluate

∴

D s = 7.1099776702539m

LAST Step Rounding Answer

∴

D s = 7.11m

Diameter of Shaft for Torque Required in Foot-Step 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

Torque Exerted on Wheel

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.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

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 Speed and Shear Stress of Fluid in Journal Bearing

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

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 Torque Required in Foot-Step Bearing?

Diameter of Shaft for Torque Required in Foot-Step Bearing evaluator uses Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4) to evaluate 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 evaluate Diameter of Shaft for Torque Required in Foot-Step Bearing using this online evaluator? To use this online evaluator 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.

FAQs on Diameter of Shaft for Torque Required in Foot-Step Bearing

What is the formula to find Diameter of Shaft for Torque Required in Foot-Step Bearing?

The formula of Diameter of Shaft for Torque Required in Foot-Step Bearing is expressed as Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4). Here is an example- 7.109978 = 2*((49.99999*4.623171)/(pi^2*8.23*0.0178179333333333))^(1/4).

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

With Torque Exerted on Wheel (τ), Thickness of Oil Film (t), Viscosity of Fluid (μ) & Mean Speed in RPM (N) we can find Diameter of Shaft for Torque Required in Foot-Step Bearing using the formula - Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4). 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=(Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)

Can the Diameter of Shaft for Torque Required in Foot-Step Bearing be negative?

Yes, the Diameter of Shaft for Torque Required in Foot-Step Bearing, measured in Length can be negative.

Which unit is used to measure Diameter of Shaft for Torque Required in Foot-Step Bearing?

Diameter of Shaft for Torque Required in Foot-Step 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 Torque Required in Foot-Step Bearing can be measured.

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

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

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

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

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

Other Formulas to find Shaft Diameter

Other formulas in Dimensions and Geometry category

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

FAQs on Diameter of Shaft for Torque Required in Foot-Step Bearing

Variable Name

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