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Unit Bearing Pressure Formula

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Unit Bearing Pressure is the average pressure acting on the contact surface of the thread in a Screw-Nut pair. Check FAQs

S b = \frac{4 \cdot F}{π \cdot n \cdot ({d n}^{2} - {D c}^{2})}

S_b - Unit Bearing Pressure?F - Force on Unit?n - Number of Threads?d_n - Nominal Diameter?D_c - Core Diameter?π - Archimedes' constant?

Unit Bearing Pressure Example

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With units

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Here is how the Unit Bearing Pressure equation looks like with Values.

Here is how the Unit Bearing Pressure equation looks like with Units.

Here is how the Unit Bearing Pressure equation looks like.

61.2134 = \frac{4 \cdot 0.0002}{3.1416 \cdot 16 \cdot (18^{2} - 8^{2})}

61.2134Pa = \frac{4 \cdot 0.0002kN}{3.1416 \cdot 16 \cdot ({18mm}^{2} - {8mm}^{2})}

61.2134 = \frac{4 \cdot 0.0002}{3.1416 \cdot 16 \cdot (18^{2} - 8^{2})}

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Unit Bearing Pressure Solution

Follow our step by step solution on how to calculate Unit Bearing Pressure?

FIRST Step Consider the formula

S b = \frac{4 \cdot F}{π \cdot n \cdot ({d n}^{2} - {D c}^{2})}

Next Step Substitute values of Variables

∴

S b = \frac{4 \cdot 0.0002kN}{π \cdot 16 \cdot ({18mm}^{2} - {8mm}^{2})}

Next Step Substitute values of Constants

∴

S b = \frac{4 \cdot 0.0002kN}{3.1416 \cdot 16 \cdot ({18mm}^{2} - {8mm}^{2})}

Next Step Convert Units

∴

S b = \frac{4 \cdot 0.2N}{3.1416 \cdot 16 \cdot ({0.018m}^{2} - {0.008m}^{2})}

Next Step Prepare to Evaluate

∴

S b = \frac{4 \cdot 0.2}{3.1416 \cdot 16 \cdot ({0.018}^{2} - {0.008}^{2})}

Next Step Evaluate

∴

S b = 61.213439650729Pa

LAST Step Rounding Answer

∴

S b = 61.2134Pa

Unit Bearing Pressure Formula Elements

Variables

Constants

Unit Bearing Pressure

Unit Bearing Pressure is the average pressure acting on the contact surface of the thread in a Screw-Nut pair.

Symbol: S_b

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit Bearing Pressure

Force on Unit

Force on Unit is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.

Symbol: F

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Force on Unit

Number of Threads

Number of Threads is total no. of threads in a screw.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Threads

Nominal Diameter

Nominal Diameter is the actual diameter of the screw.

Symbol: d_n

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Nominal Diameter

Core Diameter

Core Diameter is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

Symbol: D_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core Diameter

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 in Pressure category

Go Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing

p = \frac{({(\frac{r}{c})}^{2}) \cdot μ l \cdot n s}{2 \cdot π \cdot S}

Go Unit Bearing Pressure in Terms of Radial Load Acting on Bearing

p = \frac{W r}{l a \cdot d}

Go Unit Bearing Pressure in Terms of Temperature Rise Variable

p = ρ \cdot C p \cdot \frac{Δt r}{TRV}

Go Pressure Difference in Terms of Flow of Lubricant

ΔP = l \cdot 12 \cdot μ l \cdot \frac{Q slot}{(h^{3}) \cdot b}

How to Evaluate Unit Bearing Pressure?

Unit Bearing Pressure evaluator uses Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2)) to evaluate the Unit Bearing Pressure, The unit bearing pressure is the bearing pressure of contacting surfaces of the screw and the nut. Unit Bearing Pressure is denoted by S_b symbol.

How to evaluate Unit Bearing Pressure using this online evaluator? To use this online evaluator for Unit Bearing Pressure, enter Force on Unit (F), Number of Threads (n), Nominal Diameter (d_n) & Core Diameter (D_c) and hit the calculate button.

FAQs on Unit Bearing Pressure

What is the formula to find Unit Bearing Pressure?

The formula of Unit Bearing Pressure is expressed as Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2)). Here is an example- 61.21344 = (4*0.2)/(pi*16*(0.018^2-0.008^2)).

How to calculate Unit Bearing Pressure?

With Force on Unit (F), Number of Threads (n), Nominal Diameter (d_n) & Core Diameter (D_c) we can find Unit Bearing Pressure using the formula - Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2)). This formula also uses Archimedes' constant .

Can the Unit Bearing Pressure be negative?

No, the Unit Bearing Pressure, measured in Pressure cannot be negative.

Which unit is used to measure Unit Bearing Pressure?

Unit Bearing Pressure is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Unit Bearing Pressure can be measured.

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Unit Bearing Pressure Formula

Unit Bearing Pressure Example

Unit Bearing Pressure Solution

Unit Bearing Pressure Formula Elements

Other formulas in Pressure category

How to Evaluate Unit Bearing Pressure?

FAQs on Unit Bearing Pressure

Variable Name