Force at Circumference of Screw given Helix Angle and Limiting Angle 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%

✖Force Required is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Force at Circumference of Screw given Helix Angle and Limiting Angle [F]

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Force at Circumference of Screw given Helix Angle and Limiting Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)
F = W_l*tan(ψ+Φ)
This formula uses 1 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)

Variables Used

Force Required - (Measured in Newton) - Force Required is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
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).

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = W_l*tan(ψ+Φ) --> 53*tan(0.4363323129985+0.21816615649925)

Evaluating ... ...

F = 40.6683303628745

STEP 3: Convert Result to Output's Unit

40.6683303628745 Newton --> No Conversion Required

FINAL ANSWER

40.6683303628745 ≈ 40.66833 Newton <-- Force Required

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Friction Devices » Mechanical » Screw and Nut » Force at Circumference of Screw given Helix Angle and Limiting Angle

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Created by Anshika Arya

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)

Force at Circumference of Screw given Helix Angle and Limiting Angle Formula

LaTeX Go

Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)
F = W_l*tan(ψ+Φ)

How do you find the circumference of a screw?

Calculate the circumference of the screw shaft by measuring the diameter of the screw and multiplying by pi. For example, if a screw has a diameter of 0.25 inches, then the circumference of the screw is 0.79 inches.

What is the pitch of a screw?

Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

How to Calculate Force at Circumference of Screw given Helix Angle and Limiting Angle?

Force at Circumference of Screw given Helix Angle and Limiting Angle calculator uses Force Required = Load*tan(Helix Angle+Limiting Angle of Friction) to calculate the Force Required, Force at Circumference of Screw given Helix Angle and Limiting Angle is the tangential force exerted due to the difference between the helix angle and the limiting angle, factoring in the axial load applied to the screw. Force Required is denoted by F symbol.

How to calculate Force at Circumference of Screw given Helix Angle and Limiting Angle using this online calculator? To use this online calculator for Force at Circumference of Screw given Helix Angle and Limiting Angle, enter Load (W_l), Helix Angle (ψ) & Limiting Angle of Friction (Φ) and hit the calculate button. Here is how the Force at Circumference of Screw given Helix Angle and Limiting Angle calculation can be explained with given input values -> 40.66833 = 53*tan(0.4363323129985+0.21816615649925).

FAQ

What is Force at Circumference of Screw given Helix Angle and Limiting Angle?

Force at Circumference of Screw given Helix Angle and Limiting Angle is the tangential force exerted due to the difference between the helix angle and the limiting angle, factoring in the axial load applied to the screw and is represented as F = W_l*tan(ψ+Φ) or Force Required = Load*tan(Helix Angle+Limiting Angle of Friction). 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).

How to calculate Force at Circumference of Screw given Helix Angle and Limiting Angle?

Force at Circumference of Screw given Helix Angle and Limiting Angle is the tangential force exerted due to the difference between the helix angle and the limiting angle, factoring in the axial load applied to the screw is calculated using Force Required = Load*tan(Helix Angle+Limiting Angle of Friction). To calculate Force at Circumference of Screw given Helix Angle and Limiting Angle, you need Load (W_l), Helix Angle (ψ) & Limiting Angle of Friction (Φ). With our tool, you need to enter the respective value for Load, Helix Angle & Limiting Angle of Friction 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 Force Required?

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

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

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