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Mean Diameter of Power Screw given Torque Required in Lowering Load Formula

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Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface. Check FAQs

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

d_m - Mean Diameter of Power Screw?Mt_lo - Torque for lowering load?W - Load on screw?μ - Coefficient of friction at screw thread?α - Helix angle of screw?

Mean Diameter of Power Screw given Torque Required in Lowering Load Example

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Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load equation looks like with Values.

Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load equation looks like with Units.

Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load equation looks like.

49.4186 = \frac{2960}{0.5 \cdot 1700 \cdot (\frac{0.15 - \tan (4.5)}{1 + 0.15 \cdot \tan (4.5)})}

49.4186mm = \frac{2960N*mm}{0.5 \cdot 1700N \cdot (\frac{0.15 - \tan (4.5°)}{1 + 0.15 \cdot \tan (4.5°)})}

49.4186 = \frac{2960}{0.5 \cdot 1700 \cdot (\frac{0.15 - \tan (4.5)}{1 + 0.15 \cdot \tan (4.5)})}

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Mean Diameter of Power Screw given Torque Required in Lowering Load Solution

Follow our step by step solution on how to calculate Mean Diameter of Power Screw given Torque Required in Lowering Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d m = \frac{2960N*mm}{0.5 \cdot 1700N \cdot (\frac{0.15 - \tan (4.5°)}{1 + 0.15 \cdot \tan (4.5°)})}

Next Step Convert Units

∴

d m = \frac{2.96N*m}{0.5 \cdot 1700N \cdot (\frac{0.15 - \tan (0.0785rad)}{1 + 0.15 \cdot \tan (0.0785rad)})}

Next Step Prepare to Evaluate

∴

d m = \frac{2.96}{0.5 \cdot 1700 \cdot (\frac{0.15 - \tan (0.0785)}{1 + 0.15 \cdot \tan (0.0785)})}

Next Step Evaluate

∴

d m = 0.0494186165234568m

Next Step Convert to Output's Unit

∴

d m = 49.4186165234568mm

LAST Step Rounding Answer

∴

d m = 49.4186mm

Mean Diameter of Power Screw given Torque Required in Lowering Load Formula Elements

Variables

Functions

Mean Diameter of Power Screw

Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Power Screw

Torque for lowering load

Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.

Symbol: Mt_lo

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lowering load

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

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

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

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 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 Coefficient of Friction of Screw Thread given Load

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

How to Evaluate Mean Diameter of Power Screw given Torque Required in Lowering Load?

Mean Diameter of Power Screw given Torque Required in Lowering Load evaluator uses Mean Diameter of Power Screw = Torque for lowering load/(0.5*Load on screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))) to evaluate the Mean Diameter of Power Screw, Mean Diameter of Power Screw given Torque Required in Lowering Load formula is defined as the average diameter of the bearing surface of the screw. Mean Diameter of Power Screw is denoted by d_m symbol.

How to evaluate Mean Diameter of Power Screw given Torque Required in Lowering Load using this online evaluator? To use this online evaluator for Mean Diameter of Power Screw given Torque Required in Lowering Load, enter Torque for lowering load (Mt_lo), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button.

FAQs on Mean Diameter of Power Screw given Torque Required in Lowering Load

What is the formula to find Mean Diameter of Power Screw given Torque Required in Lowering Load?

The formula of Mean Diameter of Power Screw given Torque Required in Lowering Load is expressed as Mean Diameter of Power Screw = Torque for lowering load/(0.5*Load on screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))). Here is an example- 49418.62 = 2.96/(0.5*1700*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301)))).

How to calculate Mean Diameter of Power Screw given Torque Required in Lowering Load?

With Torque for lowering load (Mt_lo), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Mean Diameter of Power Screw given Torque Required in Lowering Load using the formula - Mean Diameter of Power Screw = Torque for lowering load/(0.5*Load on screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))). This formula also uses Tangent (tan) function(s).

Can the Mean Diameter of Power Screw given Torque Required in Lowering Load be negative?

No, the Mean Diameter of Power Screw given Torque Required in Lowering Load, measured in Length cannot be negative.

Which unit is used to measure Mean Diameter of Power Screw given Torque Required in Lowering Load?

Mean Diameter of Power Screw given Torque Required in Lowering Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Mean Diameter of Power Screw given Torque Required in Lowering Load can be measured.

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Mean Diameter of Power Screw given Torque Required in Lowering Load Formula

Mean Diameter of Power Screw given Torque Required in Lowering Load Example

Mean Diameter of Power Screw given Torque Required in Lowering Load Solution

Mean Diameter of Power Screw given Torque Required in Lowering Load Formula Elements

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

How to Evaluate Mean Diameter of Power Screw given Torque Required in Lowering Load?

FAQs on Mean Diameter of Power Screw given Torque Required in Lowering Load

Variable Name