Load on Screw given Torque Required in Lowering Load with Trapezoidal 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%
✖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%
✖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 given Torque Required in Lowering Load with Trapezoidal Threaded Screw [W]

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Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))))
W = Mt_lo/(0.5*d_m*(((μ*sec((0.2618)))-tan(α))/(1+(μ*sec((0.2618))*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 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.
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

Torque for lowering load: 2960 Newton Millimeter --> 2.96 Newton Meter (Check conversion here)
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

W = Mt_lo/(0.5*d_m*(((μ*sec((0.2618)))-tan(α))/(1+(μ*sec((0.2618))*tan(α))))) --> 2.96/(0.5*0.046*(((0.15*sec((0.2618)))-tan(0.0785398163397301))/(1+(0.15*sec((0.2618))*tan(0.0785398163397301)))))

Evaluating ... ...

W = 1700.86126964105

STEP 3: Convert Result to Output's Unit

1700.86126964105 Newton --> No Conversion Required

FINAL ANSWER

1700.86126964105 ≈ 1700.861 Newton <-- Load on screw

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Trapezoidal Thread Calculators

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

Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread*sec(0.2618))/(Load on screw+(Effort in lifting load*Coefficient of friction at screw thread*sec(0.2618))))

Load on Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

Go Load on screw = Effort in lifting load/((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))

Effort Required in Lifting Load with Trapezoidal Threaded Screw

Go Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))

Coefficient of Friction of Screw given Effort for Trapezoidal Threaded Screw

Go Coefficient of friction at screw thread = (Effort in lifting load-(Load on screw*tan(Helix angle of screw)))/(sec(0.2618)*(Load on screw+Effort in lifting load*tan(Helix angle of screw)))

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Formula

Define a Trapezoidal Thread Screw?

Trapezoidal screws are also lead screws that use a trapezoidal thread form, but trapezoidal screws have a thread angle of 30° and are manufactured in metric dimensions. The size of a trapezoidal screw is designated by the screw shaft diameter and the pitch of the screw threads.

How to Calculate Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw?

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw calculator uses Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))))) to calculate the Load on screw, Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw formula is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw. Load on screw is denoted by W symbol.

How to calculate Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw, enter Torque for lowering load (Mt_lo), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw calculation can be explained with given input values -> 1700.861 = 2.96/(0.5*0.046*(((0.15*sec((0.2618)))-tan(0.0785398163397301))/(1+(0.15*sec((0.2618))*tan(0.0785398163397301))))).

FAQ

What is Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw?

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw formula is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw and is represented as W = Mt_lo/(0.5*d_m*(((μ*sec((0.2618)))-tan(α))/(1+(μ*sec((0.2618))*tan(α))))) or Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*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, 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 Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw?

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw formula is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw is calculated using Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))))). To calculate Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw, you need Torque for lowering load (Mt_lo), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Torque for lowering load, 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.

How many ways are there to calculate Load on screw?

In this formula, Load on screw uses Torque for lowering load, Mean Diameter of Power Screw, Coefficient of friction at screw thread & Helix angle of screw. We can use 3 other way(s) to calculate the same, which is/are as follows -

Load on screw = Effort in lifting load/((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))
Load on screw = Torque for lifting load*(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))/(0.5*Mean Diameter of Power Screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))))
Load on screw = Effort in lowering load*(1+Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))/((Coefficient of friction at screw thread*sec((0.2618))-tan(Helix angle of screw)))

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