Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Calculator

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Vertical Shaft Rotating in Guide Bearing

✖Oil Film Thickness at any Position θ is the thickness of the film at a desired position from the position of minimum film thickness.ⓘ Oil Film Thickness at any Position θ [h]			+10% -10%
✖The Radial Clearance is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis.ⓘ Radial Clearance [c]			+10% -10%
✖Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.ⓘ Angle Measured from Point of Minimum of Oil Film [θ]			+10% -10%

✖Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance.ⓘ Eccentricity Ratio given Radial Clearance and Film Thickness at any Position [ε]

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Formula

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Eccentricity Ratio given Radial Clearance and Film Thickness at any Position

Formula

`"ε" = ("h"/"c"-1)/cos("θ")`

Example

`"5.87399"=("0.5m"/"0.082m"-1)/cos("0.52rad")`

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Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film)
ε = (h/c-1)/cos(θ)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Eccentricity Ratio - Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance.
Oil Film Thickness at any Position θ - (Measured in Meter) - Oil Film Thickness at any Position θ is the thickness of the film at a desired position from the position of minimum film thickness.
Radial Clearance - (Measured in Meter) - The Radial Clearance is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis.
Angle Measured from Point of Minimum of Oil Film - (Measured in Radian) - Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.

STEP 1: Convert Input(s) to Base Unit

Oil Film Thickness at any Position θ: 0.5 Meter --> 0.5 Meter No Conversion Required
Radial Clearance: 0.082 Meter --> 0.082 Meter No Conversion Required
Angle Measured from Point of Minimum of Oil Film: 0.52 Radian --> 0.52 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = (h/c-1)/cos(θ) --> (0.5/0.082-1)/cos(0.52)

Evaluating ... ...

ε = 5.87398976075089

STEP 3: Convert Result to Output's Unit

5.87398976075089 --> No Conversion Required

FINAL ANSWER

5.87398976075089 ≈ 5.87399 <-- Eccentricity Ratio

(Calculation completed in 00.004 seconds)

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< 9 Vertical Shaft Rotating in Guide Bearing Calculators

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position

Go Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position

Go Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film)

Oil Film Thickness at any Position in Journal Bearing

Go Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))

Journal Diameter given Angular Length of Bearing and Length of Bearing in Direction of Motion

Go Shaft Diameter = (2*Length of Bearing in Direction of Motion)/(Angular or Circumferential Length of Bearing)

Angular Length of Bearing given Length of Bearing in Direction of Motion

Go Angular or Circumferential Length of Bearing = (2*Length of Bearing in Direction of Motion)/(Shaft Diameter)

Length of Bearing in Direction of Motion

Go Length of Bearing in Direction of Motion = (Shaft Diameter*Angular or Circumferential Length of Bearing)/2

Speed of Shaft given Diameter of Shaft and Surface Velocity of Shaft

Go Shaft Speed = Surface Velocity of Shaft/(pi*Shaft Diameter)

Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft

Go Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed)

Surface Velocity of Shaft given Shaft Speed and Diameter

Go Surface Velocity of Shaft = pi*Shaft Diameter*Shaft Speed

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position Formula

Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film)
ε = (h/c-1)/cos(θ)

How are bearings classified?

Depending upon the direction of the load to be supported, the bearings can be classified as Radial and Thrust bearings. In radial bearings, the load acts perpendicular to the direction of motion of the moving element. In thrust bearings, the load acts along the axis of rotation. Depending upon the nature of contact, the bearings can be classified as sliding contact and rolling contact bearings. In sliding contact bearings, the sliding takes place along the surfaces of contact between the moving element and the fixed element. The sliding contact bearings are also known as plain bearings. In rolling contact bearings, the steel balls or rollers, are interposed between the moving and fixed elements. The balls offer rolling friction at two points for each ball or roller.

How are sliding contact bearings classified?

The sliding contact bearings in which the sliding action is guided in a straight line and carrying radial loads may be called slipper or guide bearings and those in which the sliding action is along the circumference of a circle or an arc of a circle are known as a journal or sleeve bearings. When the angle of contact of the bearing with the journal is 360° then the bearing is called a full journal bearing and is used to accommodate bearing loads in any radial direction. When the angle of contact of the bearing with the journal is 120°, then the bearing is said to be partial journal bearing. This type of bearing has less friction than full journal bearing, but it can be used only where the load is always in one direction. The full and partial journal bearings may be called clearance bearings because the diameter of the journal is less than that of bearing. When a partial journal bearing has no clearance i.e. the diameters of the journal and bearing are equal, then the bearing is called a fitted bearing.

How to Calculate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position calculator uses Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film) to calculate the Eccentricity Ratio, The Eccentricity Ratio given Radial Clearance and Film Thickness at any position formula is used to find eccentricity ratio of bearing from clearance ratio, film thickness at any position. Eccentricity Ratio is denoted by ε symbol.

How to calculate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position using this online calculator? To use this online calculator for Eccentricity Ratio given Radial Clearance and Film Thickness at any Position, enter Oil Film Thickness at any Position θ (h), Radial Clearance (c) & Angle Measured from Point of Minimum of Oil Film (θ) and hit the calculate button. Here is how the Eccentricity Ratio given Radial Clearance and Film Thickness at any Position calculation can be explained with given input values -> 5.87399 = (0.5/0.082-1)/cos(0.52).

FAQ

What is Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

The Eccentricity Ratio given Radial Clearance and Film Thickness at any position formula is used to find eccentricity ratio of bearing from clearance ratio, film thickness at any position and is represented as ε = (h/c-1)/cos(θ) or Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film). Oil Film Thickness at any Position θ is the thickness of the film at a desired position from the position of minimum film thickness, The Radial Clearance is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis & Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.

How to calculate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position?

The Eccentricity Ratio given Radial Clearance and Film Thickness at any position formula is used to find eccentricity ratio of bearing from clearance ratio, film thickness at any position is calculated using Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film). To calculate Eccentricity Ratio given Radial Clearance and Film Thickness at any Position, you need Oil Film Thickness at any Position θ (h), Radial Clearance (c) & Angle Measured from Point of Minimum of Oil Film (θ). With our tool, you need to enter the respective value for Oil Film Thickness at any Position θ, Radial Clearance & Angle Measured from Point of Minimum 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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