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Load on power Screw given Torque Required in Lowering Load Formula

GoLoad on power Screw given Effort Required in Lowering 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 = \frac{Mt lo}{0.5 \cdot d m \cdot (\frac{μ - \tan (α)}{1 + μ \cdot \tan (α)})}

W - Load on screw?Mt_lo - Torque for lowering 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 in Lowering Load Example

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Here is how the Load on power Screw given Torque Required in Lowering Load equation looks like with Values.

Here is how the Load on power Screw given Torque Required in Lowering Load equation looks like with Units.

Here is how the Load on power Screw given Torque Required in Lowering Load equation looks like.

1826.3402 = \frac{2960}{0.5 \cdot 46 \cdot (\frac{0.15 - \tan (4.5)}{1 + 0.15 \cdot \tan (4.5)})}

1826.3402N = \frac{2960N*mm}{0.5 \cdot 46mm \cdot (\frac{0.15 - \tan (4.5°)}{1 + 0.15 \cdot \tan (4.5°)})}

1826.3402 = \frac{2960}{0.5 \cdot 46 \cdot (\frac{0.15 - \tan (4.5)}{1 + 0.15 \cdot \tan (4.5)})}

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Load on power Screw given Torque Required in Lowering Load Solution

Follow our step by step solution on how to calculate Load on power Screw given Torque Required in Lowering Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = \frac{2960N*mm}{0.5 \cdot 46mm \cdot (\frac{0.15 - \tan (4.5°)}{1 + 0.15 \cdot \tan (4.5°)})}

Next Step Convert Units

∴

W = \frac{2.96N*m}{0.5 \cdot 0.046m \cdot (\frac{0.15 - \tan (0.0785rad)}{1 + 0.15 \cdot \tan (0.0785rad)})}

Next Step Prepare to Evaluate

∴

W = \frac{2.96}{0.5 \cdot 0.046 \cdot (\frac{0.15 - \tan (0.0785)}{1 + 0.15 \cdot \tan (0.0785)})}

Next Step Evaluate

∴

W = 1826.34017586688N

LAST Step Rounding Answer

∴

W = 1826.3402N

Load on power Screw given Torque Required in Lowering 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 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

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 in Lowering Load

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

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 Load on power Screw given Torque Required in Lowering Load?

Load on power Screw given Torque Required in Lowering Load evaluator uses Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power 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 Load on screw, Load on power Screw given Torque Required in Lowering Load formula is defined as a heavy or 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 in Lowering Load using this online evaluator? To use this online evaluator for Load on power Screw given Torque Required in Lowering Load, enter Torque for lowering load (Mt_lo), 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 in Lowering Load

What is the formula to find Load on power Screw given Torque Required in Lowering Load?

The formula of Load on power Screw given Torque Required in Lowering Load is expressed as Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power 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- 1826.34 = 2.96/(0.5*0.046*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301)))).

How to calculate Load on power Screw given Torque Required in Lowering Load?

With Torque for lowering load (Mt_lo), 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 in Lowering Load using the formula - Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power 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).

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 lowering 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 in Lowering Load be negative?

No, the Load on power Screw given Torque Required in Lowering Load, measured in Force cannot be negative.

Which unit is used to measure Load on power Screw given Torque Required in Lowering Load?

Load on power Screw given Torque Required in Lowering 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 in Lowering Load can be measured.

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Load on power Screw given Torque Required in Lowering Load Formula

​GoLoad on power Screw given Effort Required in Lowering Load Formula

Load on power Screw given Torque Required in Lowering Load Example

Load on power Screw given Torque Required in Lowering Load Solution

Load on power Screw given Torque Required in Lowering Load Formula Elements

Other Formulas to find Load on screw

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

How to Evaluate Load on power Screw given Torque Required in Lowering Load?

FAQs on Load on power Screw given Torque Required in Lowering Load

Variable Name

GoLoad on power Screw given Effort Required in Lowering Load Formula