Effort Required in Lifting load using Power Screw Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effort in lifting 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)))
Pli = 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 lifting load - (Measured in Newton) - Effort in lifting load is the force required to overcome the resistance to lift 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
Pli = W*((μ+tan(α))/(1-μ*tan(α))) --> 1700*((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301)))
Evaluating ... ...
Pli = 393.437532401151
STEP 3: Convert Result to Output's Unit
393.437532401151 Newton --> No Conversion Required
FINAL ANSWER
393.437532401151 393.4375 Newton <-- Effort in lifting load
(Calculation completed in 00.004 seconds)

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16 Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Torque Required to Lift Load
Go Coefficient of friction at screw thread = ((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))
Helix Angle of Power Screw given Torque Required to Lift Load
Go Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw))
Load on Power Screw given Torque Required to Lift Load
Go 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)))
Torque Required to Lift Load given Load
Go Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
Efficiency of Square Threaded Power Screw
Go Efficiency of power screw = tan(Helix angle of 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 for Screw Thread given Efficiency of Square Threaded Screw
Go Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)
Coefficient of Friction of Power Screw given Effort Required to Lift Load
Go Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))
Helix Angle of Power Screw given Effort Required to Lift Load
Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread)/(Effort in lifting load*Coefficient of friction at screw thread+Load on screw))
Load on Power Screw given Effort Required to Lift Load
Go 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)))
Effort Required in Lifting load using Power Screw
Go Effort in lifting 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)))
Maximum Efficiency of Square Threaded Screw
Go Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))
External Torque required to raise Load given Efficiency
Go Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)
Load on Screw given Overall Efficiency
Go Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw
Effort Required to Lift Load given Torque Required to Lift Load
Go Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw
Mean Diameter of Power Screw given Torque Required to Lift Load
Go Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load
Torque Required to Lift Load given Effort
Go Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

Effort Required in Lifting load using Power Screw Formula

Effort in lifting 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)))
Pli = W*((μ+tan(α))/(1-μ*tan(α)))

Define Helix Angle?

In mechanical engineering, a helix angle is the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears.

How to Calculate Effort Required in Lifting load using Power Screw?

Effort Required in Lifting load using Power Screw calculator uses Effort in lifting 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 lifting load, Effort Required in Lifting load using Power Screw formula is defined as 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. Effort in lifting load is denoted by Pli symbol.

How to calculate Effort Required in Lifting load using Power Screw using this online calculator? To use this online calculator for Effort Required in Lifting load using Power Screw, 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 Lifting load using Power Screw calculation can be explained with given input values -> 393.4375 = 1700*((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301))).

FAQ

What is Effort Required in Lifting load using Power Screw?
Effort Required in Lifting load using Power Screw formula is defined as 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 and is represented as Pli = W*((μ+tan(α))/(1-μ*tan(α))) or Effort in lifting 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 Lifting load using Power Screw?
Effort Required in Lifting load using Power Screw formula is defined as 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 is calculated using Effort in lifting 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 Lifting load using Power Screw, 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.
How many ways are there to calculate Effort in lifting load?
In this formula, Effort in lifting load uses Load on screw, 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 -
  • Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw
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