Load on Screw given helix Angle Calculator

✖Effort in lowering load is the force required to overcome the resistance to lower the load.ⓘ Effort in lowering load [P_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 given helix Angle [W]

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Load on Screw given helix Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
W = P_lo*(1+μ*sec((0.2618))*tan(α))/((μ*sec((0.2618))-tan(α)))
This formula uses 2 Functions, 4 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.
Effort in lowering load - (Measured in Newton) - Effort in lowering load is the force required to overcome the resistance to lower 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.

STEP 1: Convert Input(s) to Base Unit

Effort in lowering load: 120 Newton --> 120 Newton No Conversion Required
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 = P_lo*(1+μ*sec((0.2618))*tan(α))/((μ*sec((0.2618))-tan(α))) --> 120*(1+0.15*sec((0.2618))*tan(0.0785398163397301))/((0.15*sec((0.2618))-tan(0.0785398163397301)))

Evaluating ... ...

W = 1585.93821088152

STEP 3: Convert Result to Output's Unit

1585.93821088152 Newton --> No Conversion Required

FINAL ANSWER

1585.93821088152 ≈ 1585.938 Newton <-- Load on screw

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Trapezoidal Thread Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 helix Angle Formula

LaTeX Go

Define a Trapezoidal Screw Thread?

Trapezoidal thread forms are screw thread profiles with trapezoidal outlines. They are the most common forms used for leadscrews (power screws). They offer high strength and ease of manufacture. They are typically found where large loads are required, as in a vise or the leadscrew of a lathe.Standardized variations include multiple-start threads, left-hand threads, and self-centering threads (which are less likely to bind under lateral forces).

How to Calculate Load on Screw given helix Angle?

Load on Screw given helix Angle calculator uses 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))) to calculate the Load on screw, Load on Screw given helix Angle 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 helix Angle using this online calculator? To use this online calculator for Load on Screw given helix Angle, enter Effort in lowering load (P_lo), 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 helix Angle calculation can be explained with given input values -> 1585.938 = 120*(1+0.15*sec((0.2618))*tan(0.0785398163397301))/((0.15*sec((0.2618))-tan(0.0785398163397301))).

FAQ

What is Load on Screw given helix Angle?

Load on Screw given helix Angle 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 = P_lo*(1+μ*sec((0.2618))*tan(α))/((μ*sec((0.2618))-tan(α))) or 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))). Effort in lowering load is the force required to overcome the resistance to lower 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.

How to calculate Load on Screw given helix Angle?

Load on Screw given helix Angle 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 = 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))). To calculate Load on Screw given helix Angle, you need Effort in lowering load (P_lo), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Effort in lowering load, 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 Effort in lowering load, 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 = 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)))))

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