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Load on Power Screw given Torque Required to Lift Load Formula

GoLoad on Power Screw given Effort Required to Lift Load Formula

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

W = (2 \cdot \frac{Mt li}{d m}) \cdot (\frac{1 - μ \cdot \tan (α)}{μ + \tan (α)})

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

Load on Power Screw given Torque Required to Lift Load Example

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Here is how the Load on Power Screw given Torque Required to Lift Load equation looks like with Values.

Here is how the Load on Power Screw given Torque Required to Lift Load equation looks like with Units.

Here is how the Load on Power Screw given Torque Required to Lift Load equation looks like.

1740.5669 = (2 \cdot \frac{9265}{46}) \cdot (\frac{1 - 0.15 \cdot \tan (4.5)}{0.15 + \tan (4.5)})

1740.5669N = (2 \cdot \frac{9265N*mm}{46mm}) \cdot (\frac{1 - 0.15 \cdot \tan (4.5°)}{0.15 + \tan (4.5°)})

1740.5669 = (2 \cdot \frac{9265}{46}) \cdot (\frac{1 - 0.15 \cdot \tan (4.5)}{0.15 + \tan (4.5)})

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Load on Power Screw given Torque Required to Lift Load Solution

Follow our step by step solution on how to calculate Load on Power Screw given Torque Required to Lift Load?

FIRST Step Consider the formula

W = (2 \cdot \frac{Mt li}{d m}) \cdot (\frac{1 - μ \cdot \tan (α)}{μ + \tan (α)})

Next Step Substitute values of Variables

∴

W = (2 \cdot \frac{9265N*mm}{46mm}) \cdot (\frac{1 - 0.15 \cdot \tan (4.5°)}{0.15 + \tan (4.5°)})

Next Step Convert Units

∴

W = (2 \cdot \frac{9.265N*m}{0.046m}) \cdot (\frac{1 - 0.15 \cdot \tan (0.0785rad)}{0.15 + \tan (0.0785rad)})

Next Step Prepare to Evaluate

∴

W = (2 \cdot \frac{9.265}{0.046}) \cdot (\frac{1 - 0.15 \cdot \tan (0.0785)}{0.15 + \tan (0.0785)})

Next Step Evaluate

∴

W = 1740.56690434876N

LAST Step Rounding Answer

∴

W = 1740.5669N

Load on Power Screw given Torque Required to Lift Load Formula Elements

Variables

Functions

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

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

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

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 to find Load on screw

Go Load on Power Screw given Effort Required to Lift Load

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

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

Go Effort Required in Lifting load using Power Screw

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

Go Helix Angle of Power Screw given Effort Required to Lift Load

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

Go Coefficient of Friction of Power Screw given Effort Required to Lift Load

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

Go Torque Required to Lift Load given Effort

Mt li = P li \cdot \frac{d m}{2}

How to Evaluate Load on Power Screw given Torque Required to Lift Load?

Load on Power Screw given Torque Required to Lift Load evaluator uses Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw))) to evaluate the Load on screw, Load on Power Screw given Torque Required to Lift Load is defined as a heavy or a bulky object that requires effort to move or lift the load. The effort is an applied force to bring desired change to the position (push or lift) of the load. It acts vertically downwards. Load on screw is denoted by W symbol.

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

FAQs on Load on Power Screw given Torque Required to Lift Load

What is the formula to find Load on Power Screw given Torque Required to Lift Load?

The formula of Load on Power Screw given Torque Required to Lift Load is expressed as Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw))). Here is an example- 1740.567 = (2*9.265/0.046)*((1-0.15*tan(0.0785398163397301))/(0.15+tan(0.0785398163397301))).

How to calculate Load on Power Screw given Torque Required to Lift Load?

With Torque for lifting load (Mt_li), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Load on Power Screw given Torque Required to Lift Load using the formula - Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Load on screw?

Here are the different ways to Calculate Load on screw-

Load on screw=Effort in lifting load/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Can the Load on Power Screw given Torque Required to Lift Load be negative?

No, the Load on Power Screw given Torque Required to Lift Load, measured in Force cannot be negative.

Which unit is used to measure Load on Power Screw given Torque Required to Lift Load?

Load on Power Screw given Torque Required to Lift Load is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Load on Power Screw given Torque Required to Lift Load can be measured.

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Load on Power Screw given Torque Required to Lift Load Formula

​GoLoad on Power Screw given Effort Required to Lift Load Formula

Load on Power Screw given Torque Required to Lift Load Example

Load on Power Screw given Torque Required to Lift Load Solution

Load on Power Screw given Torque Required to Lift Load Formula Elements

Other Formulas to find Load on screw

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

How to Evaluate Load on Power Screw given Torque Required to Lift Load?

FAQs on Load on Power Screw given Torque Required to Lift Load

Variable Name

GoLoad on Power Screw given Effort Required to Lift Load Formula