Effort Required in Lifting Load with Acme Threaded Screw Calculator

✖Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.ⓘ Load on screw [W]			+10% -10%
✖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.ⓘ Coefficient of friction at screw thread [μ]			+10% -10%
✖Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.ⓘ Helix angle of screw [α]			+10% -10%

✖Effort in lifting load is the force required to overcome the resistance to lift the load.ⓘ Effort Required in Lifting Load with Acme Threaded Screw [P_li]

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Effort Required in Lifting Load with Acme Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))
P_li = W*((μ*sec((0.253))+tan(α))/(1-μ*sec((0.253))*tan(α)))
This formula uses 2 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)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(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

P_li = W*((μ*sec((0.253))+tan(α))/(1-μ*sec((0.253))*tan(α))) --> 1700*((0.15*sec((0.253))+tan(0.0785398163397301))/(1-0.15*sec((0.253))*tan(0.0785398163397301)))

Evaluating ... ...

P_li = 402.080261879239

STEP 3: Convert Result to Output's Unit

402.080261879239 Newton --> No Conversion Required

FINAL ANSWER

402.080261879239 ≈ 402.0803 Newton <-- Effort in lifting load

(Calculation completed in 00.006 seconds)

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Osmania University (OU), Hyderabad

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< Acme Thread Calculators

Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

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*sec(0.253*pi/180))/(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.253*pi/180)))

Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

Go Coefficient of friction at screw thread = (2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.253)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw)))

Torque Required in Lifting Load with Acme Threaded Power Screw

Go Torque for lifting load = 0.5*Mean Diameter of Power Screw*Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))

Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

Go Load on screw = 2*Torque for lifting load*(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw)))

Effort Required in Lifting Load with Acme Threaded Screw Formula

Define Acme Thread Screw?

Acme screw threads are manufactured for assemblies that require the carrying of heavy loads. Acme screw threads were designed to replace the Square thread, which is difficult to manufacture. Chapter 6 grooving and threading

How to Calculate Effort Required in Lifting Load with Acme Threaded Screw?

Effort Required in Lifting Load with Acme Threaded Screw calculator uses Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))) to calculate the Effort in lifting load, Effort Required in Lifting Load with Acme Threaded Screw formula is defined as the amount of force that is to be applied to lift the load and this force is transmitted as a torque. Effort in lifting load is denoted by P_li symbol.

How to calculate Effort Required in Lifting Load with Acme Threaded Screw using this online calculator? To use this online calculator for Effort Required in Lifting Load with Acme Threaded 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 with Acme Threaded Screw calculation can be explained with given input values -> 402.0803 = 1700*((0.15*sec((0.253))+tan(0.0785398163397301))/(1-0.15*sec((0.253))*tan(0.0785398163397301))).

FAQ

What is Effort Required in Lifting Load with Acme Threaded Screw?

Effort Required in Lifting Load with Acme Threaded Screw formula is defined as the amount of force that is to be applied to lift the load and this force is transmitted as a torque and is represented as P_li = W*((μ*sec((0.253))+tan(α))/(1-μ*sec((0.253))*tan(α))) or Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*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 with Acme Threaded Screw?

Effort Required in Lifting Load with Acme Threaded Screw formula is defined as the amount of force that is to be applied to lift the load and this force is transmitted as a torque is calculated using Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))). To calculate Effort Required in Lifting Load with Acme Threaded 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.

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