Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal 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%
✖Effort in lowering load is the force required to overcome the resistance to lower the load.ⓘ Effort in lowering load [P_lo]			+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 Effort Required in Lowering Load with Trapezoidal Threaded Screw [α]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))))
α = atan((W*μ*sec(15*pi/180)-P_lo)/(W+(P_lo*μ*sec(15*pi/180))))
This formula uses 1 Constants, 3 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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.
Effort in lowering load - (Measured in Newton) - Effort in lowering load is the force required to overcome the resistance to lower the load.

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
Effort in lowering load: 120 Newton --> 120 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan((W*μ*sec(15*pi/180)-P_lo)/(W+(P_lo*μ*sec(15*pi/180)))) --> atan((1700*0.15*sec(15*pi/180)-120)/(1700+(120*0.15*sec(15*pi/180))))

Evaluating ... ...

α = 0.0835895327716902

STEP 3: Convert Result to Output's Unit

0.0835895327716902 Radian -->4.78932743928923 Degree (Check conversion here)

FINAL ANSWER

4.78932743928923 ≈ 4.789327 Degree <-- Helix angle of screw

(Calculation completed in 00.020 seconds)

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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 Effort Required in Lowering Load with Trapezoidal Threaded Screw Formula

LaTeX Go

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 Effort Required in Lowering Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw calculator uses 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)))) to calculate the Helix angle of screw, Helix Angle of Screw given Effort Required in Lowering 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 Effort Required in Lowering Load with Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw, enter Load on screw (W), Coefficient of friction at screw thread (μ) & Effort in lowering load (P_lo) and hit the calculate button. Here is how the Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw calculation can be explained with given input values -> 274.4082 = atan((1700*0.15*sec(15*pi/180)-120)/(1700+(120*0.15*sec(15*pi/180)))).

FAQ

What is Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Effort Required in Lowering 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((W*μ*sec(15*pi/180)-P_lo)/(W+(P_lo*μ*sec(15*pi/180)))) or 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)))). 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 & Effort in lowering load is the force required to overcome the resistance to lower the load.

How to calculate Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Effort Required in Lowering 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((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)))). To calculate Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw, you need Load on screw (W), Coefficient of friction at screw thread (μ) & Effort in lowering load (P_lo). With our tool, you need to enter the respective value for Load on screw, Coefficient of friction at screw thread & Effort in lowering load 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 Load on screw, Coefficient of friction at screw thread & Effort in lowering load. 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((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))))
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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