Effort Required in Lowering Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effort in lowering load = 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)))
Plo = W*((μ-tan(α))/(1+μ*tan(α)))
This formula uses 1 Functions, 4 Variables
Functions Used
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., tan(Angle)
Variables Used
Effort in lowering load - (Measured in Newton) - Effort in lowering load is the force required to overcome the resistance to lower the load.
Load on screw - (Measured in Newton) - Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.
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.
Helix angle of screw - (Measured in Radian) - Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.
STEP 1: Convert Input(s) to Base Unit
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Coefficient of friction at screw thread: 0.15 --> No Conversion Required
Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Plo = W*((μ-tan(α))/(1+μ*tan(α))) --> 1700*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301)))
Evaluating ... ...
Plo = 119.792912397498
STEP 3: Convert Result to Output's Unit
119.792912397498 Newton --> No Conversion Required
FINAL ANSWER
119.792912397498 119.7929 Newton <-- Effort in lowering load
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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9 Torque Requirement in Lowering Load using Square threaded Screws Calculators

Coefficient of Friction of Screw Thread given Torque Required in Lowering Load
Go 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))
Helix Angle of Power Screw given Torque Required in Lowering Load
Go Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw)))
Mean Diameter of Power Screw given Torque Required in Lowering Load
Go 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))))
Load on power Screw given Torque Required in Lowering Load
Go 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))))
Torque Required in Lowering Load on Power Screw
Go Torque for lowering load = 0.5*Load on screw*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)))
Coefficient of Friction of Screw Thread given Load
Go 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))
Helix Angle of Power Screw given Effort Required in Lowering Load
Go Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread-Effort in lowering load)/(Coefficient of friction at screw thread*Effort in lowering load+Load on screw))
Load on power Screw given Effort Required in Lowering Load
Go 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)))
Effort Required in Lowering Load
Go Effort in lowering load = 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)))

Effort Required in Lowering Load Formula

Effort in lowering load = 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)))
Plo = W*((μ-tan(α))/(1+μ*tan(α)))

Define Effort?

The effort is the work that you do. It is the amount of force you use times the distance over which you use it. The resistance is the work done on the object you are trying to move. Often, the resistance force is the force of gravity, and the resistance distance is how far you move the object.

How to Calculate Effort Required in Lowering Load?

Effort Required in Lowering Load calculator uses Effort in lowering load = 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 calculate the Effort in lowering load, The Effort Required in Lowering Load formula is defined as the amount of force you use times the distance over which you use it. The resistance is the work done on the object you are trying to move. Effort in lowering load is denoted by Plo symbol.

How to calculate Effort Required in Lowering Load using this online calculator? To use this online calculator for Effort Required in Lowering Load, enter Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Effort Required in Lowering Load calculation can be explained with given input values -> 119.7929 = 1700*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301))).

FAQ

What is Effort Required in Lowering Load?
The Effort Required in Lowering Load formula is defined as the amount of force you use times the distance over which you use it. The resistance is the work done on the object you are trying to move and is represented as Plo = W*((μ-tan(α))/(1+μ*tan(α))) or Effort in lowering load = 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))). Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, 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 & Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.
How to calculate Effort Required in Lowering Load?
The Effort Required in Lowering Load formula is defined as the amount of force you use times the distance over which you use it. The resistance is the work done on the object you are trying to move is calculated using Effort in lowering load = 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 calculate Effort Required in Lowering Load, you need Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Load on screw, Coefficient of friction at screw thread & Helix angle of screw and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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