Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Calculator

✖Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.ⓘ Torque for lowering load [Mt_lo]			+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%
✖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%

✖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 given Torque Required in Lowering Load with Acme Threaded Screw [d_m]

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Formula

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Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

Formula

`"d"_{"m"} = 2*"Mt"_{"lo"}*(1+"μ"*sec((0.253))*tan("α"))/("W"*("μ"*sec((0.253))-tan("α")))`

Example

`"46.23895mm"=2*"2960N*mm"*(1+"0.15"*sec((0.253))*tan("4.5°"))/("1700N"*("0.15"*sec((0.253))-tan("4.5°")))`

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Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw)))
d_m = 2*Mt_lo*(1+μ*sec((0.253))*tan(α))/(W*(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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque for lowering load: 2960 Newton Millimeter --> 2.96 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)
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_m = 2*Mt_lo*(1+μ*sec((0.253))*tan(α))/(W*(μ*sec((0.253))-tan(α))) --> 2*2.96*(1+0.15*sec((0.253))*tan(0.0785398163397301))/(1700*(0.15*sec((0.253))-tan(0.0785398163397301)))

Evaluating ... ...

d_m = 0.0462389486595059

STEP 3: Convert Result to Output's Unit

0.0462389486595059 Meter -->46.2389486595059 Millimeter (Check conversion here)

FINAL ANSWER

46.2389486595059 ≈ 46.23895 Millimeter <-- Mean Diameter of Power Screw

(Calculation completed in 00.010 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Acme Thread » Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

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< 18 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)))

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

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

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

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))/(sec(0.253)*(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw)))

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 Lowering Load with Acme Threaded Power Screw

Go Torque for lowering 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))))

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)))

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

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

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

Go 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 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)))

Efficiency of Acme Threaded Power Screw

Go Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.253))/(Coefficient of friction at screw thread*sec(0.253)+tan(Helix angle of screw))

Coefficient of Friction of Power Screw given Effort in Lowering Load with Acme Threaded Screw

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

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw

Go Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(sec(14.5*pi/180)*(Load on screw+Effort in lifting load*tan(Helix angle of screw)))

Helix Angle of Power Screw given Load and Coefficient of Friction

Go Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread*sec(0.253)-Effort in lowering load)/(Load on screw+(Effort in lowering load*Coefficient of friction at screw thread*sec(0.253))))

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

Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread*sec(0.253))/(Load on screw+Effort in lifting load*Coefficient of friction at screw thread*sec(0.253)))

Effort Required in Lowering Load with Acme Threaded Screw

Go Effort in lowering 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)))

Effort Required in Lifting Load with Acme Threaded Screw

Go 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 Power Screw given Effort Required in Lowering Load with Acme Threaded Screw

Go 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))

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

Go 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))

Mean Diameter of Power Screw given Torque Required in Lowering 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.

How to Calculate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw calculator uses Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))) to calculate the Mean Diameter of Power Screw, Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw formula is defined as the average diameter of the bearing surface of the Screw. Mean Diameter of Power Screw is denoted by d_m symbol.

How to calculate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw using this online calculator? To use this online calculator for Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw, enter Torque for lowering load (Mt_lo), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Load on screw (W) and hit the calculate button. Here is how the Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw calculation can be explained with given input values -> 46238.95 = 2*2.96*(1+0.15*sec((0.253))*tan(0.0785398163397301))/(1700*(0.15*sec((0.253))-tan(0.0785398163397301))).

FAQ

What is Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw formula is defined as the average diameter of the bearing surface of the Screw and is represented as d_m = 2*Mt_lo*(1+μ*sec((0.253))*tan(α))/(W*(μ*sec((0.253))-tan(α))) or Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))). Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering 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 & Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

How to calculate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw formula is defined as the average diameter of the bearing surface of the Screw is calculated using Mean Diameter of Power Screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Load on screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))). To calculate Mean Diameter of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw, you need Torque for lowering load (Mt_lo), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Load on screw (W). With our tool, you need to enter the respective value for Torque for lowering load, Coefficient of friction at screw thread, Helix angle of screw & Load on 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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