Torque Required in Lowering Load on Power Screw Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Mtlo = 0.5*W*dm*((μ-tan(α))/(1+μ*tan(α)))
This formula uses 1 Functions, 5 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
Torque for lowering load - (Measured in Newton Meter) - Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering 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.
Mean Diameter of Power Screw - (Measured in Meter) - 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.
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
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
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
Mtlo = 0.5*W*dm*((μ-tan(α))/(1+μ*tan(α))) --> 0.5*1700*0.046*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301)))
Evaluating ... ...
Mtlo = 2.75523698514245
STEP 3: Convert Result to Output's Unit
2.75523698514245 Newton Meter -->2755.23698514245 Newton Millimeter (Check conversion here)
FINAL ANSWER
2755.23698514245 2755.237 Newton Millimeter <-- Torque for lowering load
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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)))

Torque Required in Lowering Load on Power Screw Formula

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)))
Mtlo = 0.5*W*dm*((μ-tan(α))/(1+μ*tan(α)))

Define Torque?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Torque is a vector quantity.

How to Calculate Torque Required in Lowering Load on Power Screw?

Torque Required in Lowering Load on Power Screw calculator uses 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))) to calculate the Torque for lowering load, Torque Required in Lowering Load on Power Screw formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lower the load onto the power screw. Torque for lowering load is denoted by Mtlo symbol.

How to calculate Torque Required in Lowering Load on Power Screw using this online calculator? To use this online calculator for Torque Required in Lowering Load on Power Screw, enter Load on screw (W), Mean Diameter of Power Screw (dm), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Torque Required in Lowering Load on Power Screw calculation can be explained with given input values -> 2.8E+6 = 0.5*1700*0.046*((0.15-tan(0.0785398163397301))/(1+0.15*tan(0.0785398163397301))).

FAQ

What is Torque Required in Lowering Load on Power Screw?
Torque Required in Lowering Load on Power Screw formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lower the load onto the power screw and is represented as Mtlo = 0.5*W*dm*((μ-tan(α))/(1+μ*tan(α))) or 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))). Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, 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, 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 Torque Required in Lowering Load on Power Screw?
Torque Required in Lowering Load on Power Screw formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force, or turning effect that is to be applied onto the object or the part to lower the load onto the power screw is calculated using 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))). To calculate Torque Required in Lowering Load on Power Screw, you need Load on screw (W), Mean Diameter of Power Screw (dm), 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, Mean Diameter of Power 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!