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

✖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 given Eccentricity Ratio and Thickness of Film at any Position [c]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Eccentricity Ratio - Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance.
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
Eccentricity Ratio: 0.8 --> 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

c = h/(1+ε*cos(θ)) --> 0.5/(1+0.8*cos(0.52))

Evaluating ... ...

c = 0.295114902158517

STEP 3: Convert Result to Output's Unit

0.295114902158517 Meter --> No Conversion Required

FINAL ANSWER

0.295114902158517 ≈ 0.295115 Meter <-- Radial Clearance

(Calculation completed in 00.004 seconds)

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

LaTeX Go

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

How are bearings classified?

Depending upon the direction of 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 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 as 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 Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position?

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position calculator uses Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)) to calculate the Radial Clearance, Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position formula is defined as a measure of the minimum distance between the journal and the bearing surface in a tribological system, which is critical in determining the lubrication efficiency and wear resistance of the system. Radial Clearance is denoted by c symbol.

How to calculate Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position using this online calculator? To use this online calculator for Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position, enter Oil Film Thickness at any Position θ (h), Eccentricity Ratio (ε) & Angle Measured from Point of Minimum of Oil Film (θ) and hit the calculate button. Here is how the Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position calculation can be explained with given input values -> 0.295115 = 0.5/(1+0.8*cos(0.52)).

FAQ

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

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position formula is defined as a measure of the minimum distance between the journal and the bearing surface in a tribological system, which is critical in determining the lubrication efficiency and wear resistance of the system and is represented as c = h/(1+ε*cos(θ)) or Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*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, Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance & Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.

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

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position formula is defined as a measure of the minimum distance between the journal and the bearing surface in a tribological system, which is critical in determining the lubrication efficiency and wear resistance of the system is calculated using Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)). To calculate Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position, you need Oil Film Thickness at any Position θ (h), Eccentricity Ratio (ε) & 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, Eccentricity Ratio & 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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