Load on power Screw given Effort Required in Lowering Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
W = Plo/((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
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.
Effort in lowering load - (Measured in Newton) - Effort in lowering load is the force required to overcome the resistance to lower the load.
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
Effort in lowering load: 120 Newton --> 120 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
W = Plo/((μ-tan(α))/(1+μ*tan(α))) --> 120/((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301)))
Evaluating ... ...
W = 1702.93881263263
STEP 3: Convert Result to Output's Unit
1702.93881263263 Newton --> No Conversion Required
FINAL ANSWER
1702.93881263263 1702.939 Newton <-- Load on screw
(Calculation completed in 00.020 seconds)

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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)))

Load on power Screw given Effort Required in Lowering Load Formula

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)))
W = Plo/((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 Load on power Screw given Effort Required in Lowering Load?

Load on power Screw given Effort Required in Lowering Load calculator uses 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))) to calculate the Load on screw, Load on power Screw given Effort Required in Lowering Load formula 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 calculate Load on power Screw given Effort Required in Lowering Load using this online calculator? To use this online calculator for Load on power Screw given Effort Required in Lowering Load, enter Effort in lowering load (Plo), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Load on power Screw given Effort Required in Lowering Load calculation can be explained with given input values -> 1702.939 = 120/((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301))).

FAQ

What is Load on power Screw given Effort Required in Lowering Load?
Load on power Screw given Effort Required in Lowering Load formula 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 and is represented as W = Plo/((μ-tan(α))/(1+μ*tan(α))) or 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 in lowering load is the force required to overcome the resistance to lower the load, 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 Load on power Screw given Effort Required in Lowering Load?
Load on power Screw given Effort Required in Lowering Load formula 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 is calculated using 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))). To calculate Load on power Screw given Effort Required in Lowering Load, you need Effort in lowering load (Plo), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Effort in lowering load, 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.
How many ways are there to calculate Load on screw?
In this formula, Load on screw uses Effort in lowering load, Coefficient of friction at screw thread & Helix angle of screw. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))))
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