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

✖Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.ⓘ Torque for lifting load [Mt_li]			+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%
✖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.ⓘ Mean Diameter of Power Screw [d_m]			+10% -10%

✖Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.ⓘ Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw [W]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
W = 2*Mt_li*(1-μ*sec((0.253))*tan(α))/(d_m*(μ*sec((0.253))+tan(α)))
This formula uses 2 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)
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

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.
Torque for lifting load - (Measured in Newton Meter) - Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting 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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque for lifting load: 9265 Newton Millimeter --> 9.265 Newton 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)
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = 2*Mt_li*(1-μ*sec((0.253))*tan(α))/(d_m*(μ*sec((0.253))+tan(α))) --> 2*9.265*(1-0.15*sec((0.253))*tan(0.0785398163397301))/(0.046*(0.15*sec((0.253))+tan(0.0785398163397301)))

Evaluating ... ...

W = 1703.15335705726

STEP 3: Convert Result to Output's Unit

1703.15335705726 Newton --> No Conversion Required

FINAL ANSWER

1703.15335705726 ≈ 1703.153 Newton <-- Load on screw

(Calculation completed in 00.004 seconds)

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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)))

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

Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw calculator uses 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))) to calculate the Load on screw, Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw 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. Load on screw is denoted by W symbol.

How to calculate Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw using this online calculator? To use this online calculator for Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw, enter Torque for lifting load (Mt_li), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Mean Diameter of Power Screw (d_m) and hit the calculate button. Here is how the Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw calculation can be explained with given input values -> 1703.153 = 2*9.265*(1-0.15*sec((0.253))*tan(0.0785398163397301))/(0.046*(0.15*sec((0.253))+tan(0.0785398163397301))).

FAQ

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

Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw 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 and is represented as W = 2*Mt_li*(1-μ*sec((0.253))*tan(α))/(d_m*(μ*sec((0.253))+tan(α))) or 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))). Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting 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 & 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.

How to calculate Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw?

Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw 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 is calculated using 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))). To calculate Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw, you need Torque for lifting load (Mt_li), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Mean Diameter of Power Screw (d_m). With our tool, you need to enter the respective value for Torque for lifting load, Coefficient of friction at screw thread, Helix angle of screw & Mean Diameter of Power 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 Torque for lifting load, Coefficient of friction at screw thread, Helix angle of screw & Mean Diameter of Power Screw. We can use 3 other way(s) to calculate the same, which is/are as follows -

Load on screw = Effort in lifting load*(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))
Load on screw = 2*Torque for lowering 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)))
Load on screw = Effort in lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))

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