Torque Required to Overcome Friction between Screw and Nut while Lowering Load Calculator

✖Load is the weight of body lifted by screw jack.ⓘ Load [W_l]			+10% -10%
✖The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).ⓘ Limiting Angle of Friction [Φ]			+10% -10%
✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]			+10% -10%
✖Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.ⓘ Mean Diameter of Screw [d]			+10% -10%

✖Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.ⓘ Torque Required to Overcome Friction between Screw and Nut while Lowering Load [T]

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Torque Required to Overcome Friction between Screw and Nut while Lowering Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2
T = W_l*tan(Φ-ψ)*d/2
This formula uses 1 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)

Variables Used

Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Load - (Measured in Newton) - Load is the weight of body lifted by screw jack.
Limiting Angle of Friction - (Measured in Radian) - The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Mean Diameter of Screw - (Measured in Meter) - Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

STEP 1: Convert Input(s) to Base Unit

Load: 53 Newton --> 53 Newton No Conversion Required
Limiting Angle of Friction: 12.5 Degree --> 0.21816615649925 Radian (Check conversion here)
Helix Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Mean Diameter of Screw: 0.06 Meter --> 0.06 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = W_l*tan(Φ-ψ)*d/2 --> 53*tan(0.21816615649925-0.4363323129985)*0.06/2

Evaluating ... ...

T = -0.352494513602206

STEP 3: Convert Result to Output's Unit

-0.352494513602206 Newton Meter --> No Conversion Required

FINAL ANSWER

-0.352494513602206 ≈ -0.352495 Newton Meter <-- Total Torque

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Screw and Nut Calculators

Force at Circumference of Screw given Helix Angle and Coefficient of Friction

LaTeX Go Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle)))

Helix Angle for Multi-Threaded Screw

LaTeX Go Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))

Force at Circumference of Screw given Helix Angle and Limiting Angle

LaTeX Go Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)

Helix Angle

LaTeX Go Helix Angle = atan(Lead of Screw/Circumference of Screw)

Torque Required to Overcome Friction between Screw and Nut while Lowering Load Formula

LaTeX Go

Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2
T = W_l*tan(Φ-ψ)*d/2

What is a simple screw jack?

A screw jack is a simple machine. It is used to lift cars or heavy automobiles. It consists of a long screw rod which passes through a threaded block B and a handle . The distance between two consecutive thread is known as pitch of screw.

How many types of screw jacks are there?

There are 3 main types of screw jacks: machine/worm gear screw jacks, ball screw jacks, and bevel gear jacks. Within these, there are 3 subcategories related to the mode of operation: Translating, Keyed, and Rotating/Traveling nut. The advantages and disadvantages of each type are given below.

How to Calculate Torque Required to Overcome Friction between Screw and Nut while Lowering Load?

Torque Required to Overcome Friction between Screw and Nut while Lowering Load calculator uses Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2 to calculate the Total Torque, Torque Required to Overcome Friction between Screw and Nut while Lowering Load is the rotational force needed to counteract frictional resistance and allow the load to descend, depending on the screw's geometry, load, and friction coefficient. Total Torque is denoted by T symbol.

How to calculate Torque Required to Overcome Friction between Screw and Nut while Lowering Load using this online calculator? To use this online calculator for Torque Required to Overcome Friction between Screw and Nut while Lowering Load, enter Load (W_l), Limiting Angle of Friction (Φ), Helix Angle (ψ) & Mean Diameter of Screw (d) and hit the calculate button. Here is how the Torque Required to Overcome Friction between Screw and Nut while Lowering Load calculation can be explained with given input values -> -0.352495 = 53*tan(0.21816615649925-0.4363323129985)*0.06/2.

FAQ

What is Torque Required to Overcome Friction between Screw and Nut while Lowering Load?

Torque Required to Overcome Friction between Screw and Nut while Lowering Load is the rotational force needed to counteract frictional resistance and allow the load to descend, depending on the screw's geometry, load, and friction coefficient and is represented as T = W_l*tan(Φ-ψ)*d/2 or Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2. Load is the weight of body lifted by screw jack, The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN), Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone & Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

How to calculate Torque Required to Overcome Friction between Screw and Nut while Lowering Load?

Torque Required to Overcome Friction between Screw and Nut while Lowering Load is the rotational force needed to counteract frictional resistance and allow the load to descend, depending on the screw's geometry, load, and friction coefficient is calculated using Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2. To calculate Torque Required to Overcome Friction between Screw and Nut while Lowering Load, you need Load (W_l), Limiting Angle of Friction (Φ), Helix Angle (ψ) & Mean Diameter of Screw (d). With our tool, you need to enter the respective value for Load, Limiting Angle of Friction, Helix Angle & Mean Diameter 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 Total Torque?

In this formula, Total Torque uses Load, Limiting Angle of Friction, Helix Angle & Mean Diameter of Screw. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2

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