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Coefficient of Friction of Screw Thread given Load Formula

GoCoefficient of Friction of Screw Thread given Torque Required in Lowering Load Formula

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Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it. Check FAQs

μ = \frac{P lo + \tan (α) \cdot W}{W - P lo \cdot \tan (α)}

μ - Coefficient of friction at screw thread?P_lo - Effort in lowering load?α - Helix angle of screw?W - Load on screw?

Coefficient of Friction of Screw Thread given Load Example

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Here is how the Coefficient of Friction of Screw Thread given Load equation looks like with Values.

Here is how the Coefficient of Friction of Screw Thread given Load equation looks like with Units.

Here is how the Coefficient of Friction of Screw Thread given Load equation looks like.

0.1501 = \frac{120 + \tan (4.5) \cdot 1700}{1700 - 120 \cdot \tan (4.5)}

0.1501 = \frac{120N + \tan (4.5°) \cdot 1700N}{1700N - 120N \cdot \tan (4.5°)}

0.1501 = \frac{120 + \tan (4.5) \cdot 1700}{1700 - 120 \cdot \tan (4.5)}

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Coefficient of Friction of Screw Thread given Load Solution

Follow our step by step solution on how to calculate Coefficient of Friction of Screw Thread given Load?

FIRST Step Consider the formula

μ = \frac{P lo + \tan (α) \cdot W}{W - P lo \cdot \tan (α)}

Next Step Substitute values of Variables

∴

μ = \frac{120N + \tan (4.5°) \cdot 1700N}{1700N - 120N \cdot \tan (4.5°)}

Next Step Convert Units

∴

μ = \frac{120N + \tan (0.0785rad) \cdot 1700N}{1700N - 120N \cdot \tan (0.0785rad)}

Next Step Prepare to Evaluate

∴

μ = \frac{120 + \tan (0.0785) \cdot 1700}{1700 - 120 \cdot \tan (0.0785)}

Next Step Evaluate

∴

μ = 0.150123942862617

LAST Step Rounding Answer

∴

μ = 0.1501

Coefficient of Friction of Screw Thread given Load Formula Elements

Variables

Functions

Coefficient of friction at screw thread

Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of friction at screw thread

Effort in lowering load

Effort in lowering load is the force required to overcome the resistance to lower the load.

Symbol: P_lo

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort in lowering load

Helix angle of screw

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix angle of screw

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on screw

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Coefficient of friction at screw thread

Go Coefficient of Friction of Screw Thread given Torque Required in Lowering Load

μ = \frac{2 \cdot Mt lo + W \cdot d m \cdot \tan (α)}{W \cdot d m - 2 \cdot Mt lo \cdot \tan (α)}

Other formulas in Torque Requirement in Lowering Load using Square threaded Screws category

Go Effort Required in Lowering Load

P lo = W \cdot (\frac{μ - \tan (α)}{1 + μ \cdot \tan (α)})

Go Load on power Screw given Effort Required in Lowering Load

W = \frac{P lo}{\frac{μ - \tan (α)}{1 + μ \cdot \tan (α)}}

Go Helix Angle of Power Screw given Effort Required in Lowering Load

α = a \tan (\frac{W \cdot μ - P lo}{μ \cdot P lo + W})

Go Torque Required in Lowering Load on Power Screw

Mt lo = 0.5 \cdot W \cdot d m \cdot (\frac{μ - \tan (α)}{1 + μ \cdot \tan (α)})

How to Evaluate Coefficient of Friction of Screw Thread given Load?

Coefficient of Friction of Screw Thread given Load evaluator uses Coefficient of friction at screw thread = (Effort in lowering load+tan(Helix angle of screw)*Load on screw)/(Load on screw-Effort in lowering load*tan(Helix angle of screw)) to evaluate the Coefficient of friction at screw thread, Coefficient of Friction of Screw Thread given Load formula is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction. Coefficient of friction at screw thread is denoted by μ symbol.

How to evaluate Coefficient of Friction of Screw Thread given Load using this online evaluator? To use this online evaluator for Coefficient of Friction of Screw Thread given Load, enter Effort in lowering load (P_lo), Helix angle of screw (α) & Load on screw (W) and hit the calculate button.

FAQs on Coefficient of Friction of Screw Thread given Load

What is the formula to find Coefficient of Friction of Screw Thread given Load?

The formula of Coefficient of Friction of Screw Thread given Load is expressed as Coefficient of friction at screw thread = (Effort in lowering load+tan(Helix angle of screw)*Load on screw)/(Load on screw-Effort in lowering load*tan(Helix angle of screw)). Here is an example- 0.150124 = (120+tan(0.0785398163397301)*1700)/(1700-120*tan(0.0785398163397301)).

How to calculate Coefficient of Friction of Screw Thread given Load?

With Effort in lowering load (P_lo), Helix angle of screw (α) & Load on screw (W) we can find Coefficient of Friction of Screw Thread given Load using the formula - Coefficient of friction at screw thread = (Effort in lowering load+tan(Helix angle of screw)*Load on screw)/(Load on screw-Effort in lowering load*tan(Helix angle of screw)). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Coefficient of friction at screw thread?

Here are the different ways to Calculate Coefficient of friction at screw thread-

Coefficient of friction at screw thread=(2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw))

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Coefficient of Friction of Screw Thread given Load Formula

​GoCoefficient of Friction of Screw Thread given Torque Required in Lowering Load Formula

Coefficient of Friction of Screw Thread given Load Example

Coefficient of Friction of Screw Thread given Load Solution

Coefficient of Friction of Screw Thread given Load Formula Elements

Other Formulas to find Coefficient of friction at screw thread

Other formulas in Torque Requirement in Lowering Load using Square threaded Screws category

How to Evaluate Coefficient of Friction of Screw Thread given Load?

FAQs on Coefficient of Friction of Screw Thread given Load

Variable Name

GoCoefficient of Friction of Screw Thread given Torque Required in Lowering Load Formula