Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal 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%
✖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 [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 given Torque Required in Lifting Load with Trapezoidal Threaded Screw [α]

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

STEP 0: Pre-Calculation Summary

Formula Used

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(0.2618)))/((Load on screw*Mean Diameter of Power Screw)+(2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.2618))))
α = atan((2*Mt_li-(W*d_m*μ*sec(0.2618)))/((W*d_m)+(2*Mt_li*μ*sec(0.2618))))
This formula uses 3 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)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Torque for lifting load: 9265 Newton Millimeter --> 9.265 Newton Meter (Check conversion here)
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
Coefficient of friction at screw thread: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan((2*Mt_li-(W*d_m*μ*sec(0.2618)))/((W*d_m)+(2*Mt_li*μ*sec(0.2618)))) --> atan((2*9.265-(1700*0.046*0.15*sec(0.2618)))/((1700*0.046)+(2*9.265*0.15*sec(0.2618))))

Evaluating ... ...

α = 0.0786043760731534

STEP 3: Convert Result to Output's Unit

0.0786043760731534 Radian -->4.50369900025165 Degree (Check conversion here)

FINAL ANSWER

4.50369900025165 ≈ 4.503699 Degree <-- Helix angle of screw

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Trapezoidal Thread » Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw

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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)))

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

Define Helix Angle?

The helix angle is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. The helix angle is related to the lead and the mean diameter of the screw. It is also called lead angle. The helix angle is denoted by a.

How to Calculate Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw calculator uses 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(0.2618)))/((Load on screw*Mean Diameter of Power Screw)+(2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.2618)))) to calculate the Helix angle of screw, Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. Helix angle of screw is denoted by α symbol.

How to calculate Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw, enter Torque for lifting load (Mt_li), Load on screw (W), Mean Diameter of Power Screw (d_m) & Coefficient of friction at screw thread (μ) and hit the calculate button. Here is how the Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw calculation can be explained with given input values -> 258.0429 = atan((2*9.265-(1700*0.046*0.15*sec(0.2618)))/((1700*0.046)+(2*9.265*0.15*sec(0.2618)))).

FAQ

What is Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw and is represented as α = atan((2*Mt_li-(W*d_m*μ*sec(0.2618)))/((W*d_m)+(2*Mt_li*μ*sec(0.2618)))) or 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(0.2618)))/((Load on screw*Mean Diameter of Power Screw)+(2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.2618)))). Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load, Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, 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.

How to calculate Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw is calculated using 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(0.2618)))/((Load on screw*Mean Diameter of Power Screw)+(2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.2618)))). To calculate Helix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw, you need Torque for lifting load (Mt_li), Load on screw (W), Mean Diameter of Power Screw (d_m) & Coefficient of friction at screw thread (μ). With our tool, you need to enter the respective value for Torque for lifting load, Load on screw, Mean Diameter of Power Screw & Coefficient of friction at screw thread 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 Helix angle of screw?

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

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))))
Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread*sec(15*pi/180)-Effort in lowering load)/(Load on screw+(Effort in lowering load*Coefficient of friction at screw thread*sec(15*pi/180))))
Helix angle of screw = atan(((Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread*sec(0.2618))-(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(0.2618))))

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