Diameter of Ball of Bearing from Stribeck's Equation Calculator

✖Static Load on Bearing is the load acting onto the bearing when the bearing is not rotating or the bearing is in static condition.ⓘ Static Load on Bearing [C_o]			+10% -10%
✖K Factor is the constant that depends upon the radii of curvature at the point of contact and on the moduli of elasticity of materials.ⓘ K Factor [k]			+10% -10%
✖Number of Balls in Bearing refers to the number of balls that are present in the ball bearing.ⓘ Number of Balls in Bearing [z]			+10% -10%

✖Ball diameter of a bearing refers to the diameter of the ball of a ball bearing.ⓘ Diameter of Ball of Bearing from Stribeck's Equation [d_b]

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Diameter of Ball of Bearing from Stribeck's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing))
d_b = sqrt((5*C_o)/(k*z))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Ball Diameter of a Bearing - (Measured in Meter) - Ball diameter of a bearing refers to the diameter of the ball of a ball bearing.
Static Load on Bearing - (Measured in Newton) - Static Load on Bearing is the load acting onto the bearing when the bearing is not rotating or the bearing is in static condition.
K Factor - (Measured in Pascal) - K Factor is the constant that depends upon the radii of curvature at the point of contact and on the moduli of elasticity of materials.
Number of Balls in Bearing - Number of Balls in Bearing refers to the number of balls that are present in the ball bearing.

STEP 1: Convert Input(s) to Base Unit

Static Load on Bearing: 45000 Newton --> 45000 Newton No Conversion Required
K Factor: 850 Newton per Square Millimeter --> 850000000 Pascal (Check conversion here)
Number of Balls in Bearing: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_b = sqrt((5*C_o)/(k*z)) --> sqrt((5*45000)/(850000000*15))

Evaluating ... ...

d_b = 0.00420084025208403

STEP 3: Convert Result to Output's Unit

0.00420084025208403 Meter -->4.20084025208403 Millimeter (Check conversion here)

FINAL ANSWER

4.20084025208403 ≈ 4.20084 Millimeter <-- Ball Diameter of a Bearing

(Calculation completed in 00.004 seconds)

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< Stribeck’s Equation Calculators

Diameter of Ball of Bearing from Stribeck's Equation

LaTeX Go Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing))

Number of Balls of Ball Bearing from Stribeck's Equation

LaTeX Go Number of Balls in Bearing = 5*Static Load on Bearing/(K Factor*Ball Diameter of a Bearing^2)

K Factor for Ball Bearing from Stribeck's Equation

LaTeX Go K Factor = 5*Static Load on Bearing/(Ball Diameter of a Bearing^2*Number of Balls in Bearing)

Static Load on Ball of Ball Bearing from Stribeck's Equation

LaTeX Go Static Load on Bearing = K Factor*Ball Diameter of a Bearing^2*Number of Balls in Bearing/5

Diameter of Ball of Bearing from Stribeck's Equation Formula

LaTeX Go

Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing))
d_b = sqrt((5*C_o)/(k*z))

Define Stribeck's Equation?

Stribeck curve is basically a curve between the coefficient of friction and bearing number. Unit load means the applied load divided by projected area, when we plot a coefficient of friction with bearing number, what we get at different domains and different regimes of lubrication.

How to Calculate Diameter of Ball of Bearing from Stribeck's Equation?

Diameter of Ball of Bearing from Stribeck's Equation calculator uses Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing)) to calculate the Ball Diameter of a Bearing, Diameter of Ball of Bearing from Stribeck's Equation formula is defined as the diameter of the balls that are present in the ball bearings. Ball Diameter of a Bearing is denoted by d_b symbol.

How to calculate Diameter of Ball of Bearing from Stribeck's Equation using this online calculator? To use this online calculator for Diameter of Ball of Bearing from Stribeck's Equation, enter Static Load on Bearing (C_o), K Factor (k) & Number of Balls in Bearing (z) and hit the calculate button. Here is how the Diameter of Ball of Bearing from Stribeck's Equation calculation can be explained with given input values -> 4200.84 = sqrt((5*45000)/(850000000*15)).

FAQ

What is Diameter of Ball of Bearing from Stribeck's Equation?

Diameter of Ball of Bearing from Stribeck's Equation formula is defined as the diameter of the balls that are present in the ball bearings and is represented as d_b = sqrt((5*C_o)/(k*z)) or Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing)). Static Load on Bearing is the load acting onto the bearing when the bearing is not rotating or the bearing is in static condition, K Factor is the constant that depends upon the radii of curvature at the point of contact and on the moduli of elasticity of materials & Number of Balls in Bearing refers to the number of balls that are present in the ball bearing.

How to calculate Diameter of Ball of Bearing from Stribeck's Equation?

Diameter of Ball of Bearing from Stribeck's Equation formula is defined as the diameter of the balls that are present in the ball bearings is calculated using Ball Diameter of a Bearing = sqrt((5*Static Load on Bearing)/(K Factor*Number of Balls in Bearing)). To calculate Diameter of Ball of Bearing from Stribeck's Equation, you need Static Load on Bearing (C_o), K Factor (k) & Number of Balls in Bearing (z). With our tool, you need to enter the respective value for Static Load on Bearing, K Factor & Number of Balls in Bearing and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Ball Diameter of a Bearing?

In this formula, Ball Diameter of a Bearing uses Static Load on Bearing, K Factor & Number of Balls in Bearing. We can use 1 other way(s) to calculate the same, which is/are as follows -

Ball Diameter of a Bearing = sqrt(Force on Ball Bearing/K Factor)

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