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%
✖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%

✖Effort in lowering load is the force required to overcome the resistance to lower the load.ⓘ Effort Required in Lowering Load with Trapezoidal Threaded Screw [P_lo]

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Effort Required in Lowering Load with Trapezoidal Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effort in lowering 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)))
P_lo = W*((μ*sec((0.2618))-tan(α))/(1+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

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

Load on screw: 1700 Newton --> 1700 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

P_lo = W*((μ*sec((0.2618))-tan(α))/(1+μ*sec((0.2618))*tan(α))) --> 1700*((0.15*sec((0.2618))-tan(0.0785398163397301))/(1+0.15*sec((0.2618))*tan(0.0785398163397301)))

Evaluating ... ...

P_lo = 128.630484214521

STEP 3: Convert Result to Output's Unit

128.630484214521 Newton --> No Conversion Required

FINAL ANSWER

128.630484214521 ≈ 128.6305 Newton <-- Effort in lowering load

(Calculation completed in 00.020 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

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)))

Effort Required in Lowering Load with Trapezoidal Threaded Screw 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 Effort Required in Lowering Load with Trapezoidal Threaded Screw?

Effort Required in Lowering Load with Trapezoidal Threaded Screw calculator uses Effort in lowering 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))) to calculate the Effort in lowering load, The Effort Required in Lowering Load with Trapezoidal Threaded Screw formula is defined as the amount of force that is to be applied to lower the load and this force is transmitted as a torque. Effort in lowering load is denoted by P_lo symbol.

How to calculate Effort Required in Lowering Load with Trapezoidal Threaded Screw using this online calculator? To use this online calculator for Effort Required in Lowering Load with Trapezoidal Threaded Screw, enter Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button. Here is how the Effort Required in Lowering Load with Trapezoidal Threaded Screw calculation can be explained with given input values -> 128.6305 = 1700*((0.15*sec((0.2618))-tan(0.0785398163397301))/(1+0.15*sec((0.2618))*tan(0.0785398163397301))).

FAQ

What is Effort Required in Lowering Load with Trapezoidal Threaded Screw?

The Effort Required in Lowering Load with Trapezoidal Threaded Screw formula is defined as the amount of force that is to be applied to lower the load and this force is transmitted as a torque and is represented as P_lo = W*((μ*sec((0.2618))-tan(α))/(1+μ*sec((0.2618))*tan(α))) or Effort in lowering 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))). 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 & Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

How to calculate Effort Required in Lowering Load with Trapezoidal Threaded Screw?

The Effort Required in Lowering Load with Trapezoidal Threaded Screw formula is defined as the amount of force that is to be applied to lower the load and this force is transmitted as a torque is calculated using Effort in lowering 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))). To calculate Effort Required in Lowering Load with Trapezoidal Threaded Screw, you need Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α). With our tool, you need to enter the respective value for Load on 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.

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