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Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Formula

GoMean Diameter of Screw given Torque in Lowering Load with Trapezoidal Threaded Screw 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 li}{0.5 \cdot W \cdot (\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)})}

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

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Example

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Here is how the Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw equation looks like with Values.

Here is how the Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw equation looks like with Units.

Here is how the Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw equation looks like.

46.0132 = \frac{9265}{0.5 \cdot 1700 \cdot (\frac{0.15 \cdot \sec ((0.2618)) + \tan (4.5)}{1 - 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5)})}

46.0132mm = \frac{9265N*mm}{0.5 \cdot 1700N \cdot (\frac{0.15 \cdot \sec ((0.2618)) + \tan (4.5°)}{1 - 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5°)})}

46.0132 = \frac{9265}{0.5 \cdot 1700 \cdot (\frac{0.15 \cdot \sec ((0.2618)) + \tan (4.5)}{1 - 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5)})}

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Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Solution

Follow our step by step solution on how to calculate Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw?

FIRST Step Consider the formula

d m = \frac{Mt li}{0.5 \cdot W \cdot (\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)})}

Next Step Substitute values of Variables

∴

d m = \frac{9265N*mm}{0.5 \cdot 1700N \cdot (\frac{0.15 \cdot \sec ((0.2618)) + \tan (4.5°)}{1 - 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5°)})}

Next Step Convert Units

∴

d m = \frac{9.265N*m}{0.5 \cdot 1700N \cdot (\frac{0.15 \cdot \sec ((0.2618)) + \tan (0.0785rad)}{1 - 0.15 \cdot \sec ((0.2618)) \cdot \tan (0.0785rad)})}

Next Step Prepare to Evaluate

∴

d m = \frac{9.265}{0.5 \cdot 1700 \cdot (\frac{0.15 \cdot \sec ((0.2618)) + \tan (0.0785)}{1 - 0.15 \cdot \sec ((0.2618)) \cdot \tan (0.0785)})}

Next Step Evaluate

∴

d m = 0.046013240188814m

Next Step Convert to Output's Unit

∴

d m = 46.013240188814mm

LAST Step Rounding Answer

∴

d m = 46.0132mm

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw 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 lifting load

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

Symbol: Mt_li

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lifting 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)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other Formulas to find Mean Diameter of Power Screw

Go Mean Diameter of Screw given Torque in Lowering Load with Trapezoidal Threaded Screw

d m = \frac{Mt lo}{0.5 \cdot W \cdot (\frac{μ \cdot \sec ((0.2618)) - \tan (α)}{1 + μ \cdot \sec ((0.2618)) \cdot \tan (α)})}

Other formulas in Trapezoidal Thread category

Go Effort Required in Lifting Load with Trapezoidal Threaded Screw

P li = W \cdot (\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)})

Go Load on Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

W = \frac{P li}{\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)}}

Go Helix Angle of Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

α = a \tan (\frac{P li - W \cdot μ \cdot \sec (0.2618)}{W + (P li \cdot μ \cdot \sec (0.2618))})

Go Coefficient of Friction of Screw given Effort for Trapezoidal Threaded Screw

μ = \frac{P li - (W \cdot \tan (α))}{\sec (0.2618) \cdot (W + P li \cdot \tan (α))}

How to Evaluate Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw?

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw evaluator uses Mean Diameter of Power Screw = Torque for lifting load/(0.5*Load on screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))) to evaluate the Mean Diameter of Power Screw, Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw 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 Screw given Torque in Lifting Load with Trapezoidal Threaded Screw using this online evaluator? To use this online evaluator for Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw, enter Torque for lifting load (Mt_li), 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 Screw given Torque in Lifting Load with Trapezoidal Threaded Screw

What is the formula to find Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw?

The formula of Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw is expressed as Mean Diameter of Power Screw = Torque for lifting load/(0.5*Load on screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))). Here is an example- 46013.24 = 9.265/(0.5*1700*((0.15*sec((0.2618))+tan(0.0785398163397301))/(1-0.15*sec((0.2618))*tan(0.0785398163397301)))).

How to calculate Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw?

With Torque for lifting load (Mt_li), Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw using the formula - Mean Diameter of Power Screw = Torque for lifting load/(0.5*Load on screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))). This formula also uses Tangent (tan), Secant (sec) function(s).

What are the other ways to Calculate Mean Diameter of Power Screw?

Here are the different ways to Calculate Mean Diameter of Power Screw-

Mean Diameter of Power Screw=Torque for lowering load/(0.5*Load on screw*((Coefficient of friction at screw thread*sec((0.2618))-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))))

Can the Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw be negative?

No, the Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw, measured in Length cannot be negative.

Which unit is used to measure Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw?

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw 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 Screw given Torque in Lifting Load with Trapezoidal Threaded Screw can be measured.

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Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Formula

​GoMean Diameter of Screw given Torque in Lowering Load with Trapezoidal Threaded Screw Formula

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Example

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Solution

Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw Formula Elements

Other Formulas to find Mean Diameter of Power Screw

Other formulas in Trapezoidal Thread category

How to Evaluate Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw?

FAQs on Mean Diameter of Screw given Torque in Lifting Load with Trapezoidal Threaded Screw

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GoMean Diameter of Screw given Torque in Lowering Load with Trapezoidal Threaded Screw Formula