Torque Required to Overcome Friction between Screw and Nut Calculator

✖Load is the weight of body lifted by screw jack.ⓘ Load [W_l]			+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%
✖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%
✖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 [T]

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Torque Required to Overcome Friction between Screw and Nut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2
T = W_l*tan(ψ+Φ)*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.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
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).
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
Helix Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Limiting Angle of Friction: 12.5 Degree --> 0.21816615649925 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(ψ+Φ)*d/2 --> 53*tan(0.4363323129985+0.21816615649925)*0.06/2

Evaluating ... ...

T = 1.22004991088624

STEP 3: Convert Result to Output's Unit

1.22004991088624 Newton Meter --> No Conversion Required

FINAL ANSWER

1.22004991088624 ≈ 1.22005 Newton Meter <-- Total Torque

(Calculation completed in 00.020 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 Formula

LaTeX Go

Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2
T = W_l*tan(ψ+Φ)*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 to Calculate Torque Required to Overcome Friction between Screw and Nut?

Torque Required to Overcome Friction between Screw and Nut calculator uses Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2 to calculate the Total Torque, Torque required to overcome friction between screw and nut is the measure of the force that can cause an object to rotate about an axis. Total Torque is denoted by T symbol.

How to calculate Torque Required to Overcome Friction between Screw and Nut using this online calculator? To use this online calculator for Torque Required to Overcome Friction between Screw and Nut, enter Load (W_l), Helix Angle (ψ), Limiting Angle of Friction (Φ) & Mean Diameter of Screw (d) and hit the calculate button. Here is how the Torque Required to Overcome Friction between Screw and Nut calculation can be explained with given input values -> 1.22005 = 53*tan(0.4363323129985+0.21816615649925)*0.06/2.

FAQ

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

Torque required to overcome friction between screw and nut is the measure of the force that can cause an object to rotate about an axis and is represented as T = W_l*tan(ψ+Φ)*d/2 or Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2. Load is the weight of body lifted by screw jack, Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone, The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN) & 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?

Torque required to overcome friction between screw and nut is the measure of the force that can cause an object to rotate about an axis is calculated using Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2. To calculate Torque Required to Overcome Friction between Screw and Nut, you need Load (W_l), Helix Angle (ψ), Limiting Angle of Friction (Φ) & Mean Diameter of Screw (d). With our tool, you need to enter the respective value for Load, Helix Angle, Limiting Angle of Friction & 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, Helix Angle, Limiting Angle of Friction & Mean Diameter of Screw. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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