Bearing Area between Screw and Nut for One Thread Calculator

✖Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.ⓘ Nominal diameter of screw [d]			+10% -10%
✖Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.ⓘ Core diameter of screw [d_c]			+10% -10%

✖Bearing area between screw and nut is defined as the area of contact of one thread, between one mating pair of Screw and Net.ⓘ Bearing Area between Screw and Nut for One Thread [A]

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Formula

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Bearing Area between Screw and Nut for One Thread

Formula

`"A" = pi*(("d"^2)-("d"_{"c"}^2))/4`

Example

`"578.053mm²"=pi*((("50mm")^2)-(("42mm")^2))/4`

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Bearing Area between Screw and Nut for One Thread Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
A = pi*((d^2)-(d_c^2))/4
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Bearing area between screw and nut - (Measured in Square Meter) - Bearing area between screw and nut is defined as the area of contact of one thread, between one mating pair of Screw and Net.
Nominal diameter of screw - (Measured in Meter) - Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.
Core diameter of screw - (Measured in Meter) - Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

STEP 1: Convert Input(s) to Base Unit

Nominal diameter of screw: 50 Millimeter --> 0.05 Meter (Check conversion here)
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = pi*((d^2)-(d_c^2))/4 --> pi*((0.05^2)-(0.042^2))/4

Evaluating ... ...

A = 0.000578053048260522

STEP 3: Convert Result to Output's Unit

0.000578053048260522 Square Meter -->578.053048260522 Square Millimeter (Check conversion here)

FINAL ANSWER

578.053048260522 ≈ 578.053 Square Millimeter <-- Bearing area between screw and nut

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Design of Screw and Nut » Bearing Area between Screw and Nut for One Thread

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 25 Design of Screw and Nut Calculators

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

Go Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress at Root of Nut

Go Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads)

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

Go Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)

Number of Threads in Engagement with Nut given Transverse Shear Stress

Go Number of Engaged Threads = Axial load on screw/(pi*Thread Thickness*Transverse Shear Stress in Screw*Core diameter of screw)

Core Diameter of Screw given Transverse Shear Stress in Screw

Go Core diameter of screw = Axial load on screw/(Transverse Shear Stress in Screw*pi*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress

Go Axial load on screw = (Transverse Shear Stress in Screw*pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Transverse Shear Stress in Screw

Go Transverse Shear Stress in Screw = Axial load on screw/(pi*Core diameter of screw*Thread Thickness*Number of Engaged Threads)

Axial Load on Screw given Transverse Shear Stress at Root of Nut

Go Axial load on screw = pi*Transverse shear stress in nut*Thread Thickness*Nominal diameter of screw*Number of Engaged Threads

Overall Efficiency of Power Screw

Go Efficiency of power screw = Axial load on screw*Lead of Power Screw/(2*pi*Torsional Moment on Screw)

Lead of Screw given Overall Efficiency

Go Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw

Core Diameter of Screw given Direct Compressive Stress

Go Core diameter of screw = sqrt((4*Axial load on screw)/(pi*Compressive stress in screw))

Helix Angle of Thread

Go Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw))

Mean diameter of Screw given Helix Angle

Go Mean Diameter of Power Screw = Lead of Power Screw/(pi*tan(Helix angle of screw))

Lead of Screw given Helix angle

Go Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

Core Diameter of Screw given Torsional Shear Stress

Go Core diameter of screw = (16*Torsional Moment on Screw/(pi*Torsional shear stress in screw))^(1/3)

Torsional Shear Stress of Screw

Go Torsional shear stress in screw = 16*Torsional Moment on Screw/(pi*(Core diameter of screw^3))

Torsional Moment in Screw given Torsional Shear Stress

Go Torsional Moment on Screw = Torsional shear stress in screw*pi*(Core diameter of screw^3)/16

Direct Compressive Stress in Screw

Go Compressive stress in screw = (Axial load on screw*4)/(pi*Core diameter of screw^2)

Axial Load on Screw given Direct Compressive Stress

Go Axial load on screw = (Compressive stress in screw*pi*Core diameter of screw^2)/4

Nominal Diameter of Power Screw given Mean Diameter

Go Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)

Pitch of Screw given Mean Diameter

Go Pitch of power screw thread = (Nominal diameter of screw-Mean Diameter of Power Screw)/0.5

Mean Diameter of Power Screw

Go Mean Diameter of Power Screw = Nominal diameter of screw-0.5*Pitch of power screw thread

Nominal Diameter of Power Screw

Go Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread

Core Diameter of Power Screw

Go Core diameter of screw = Nominal diameter of screw-Pitch of power screw thread

Pitch of Power Screw

Go Pitch of power screw thread = Nominal diameter of screw-Core diameter of screw

Bearing Area between Screw and Nut for One Thread Formula

Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4
A = pi*((d^2)-(d_c^2))/4

Bearing Area Calculation

The bearing Area is the projection of the Contact Area of the thread in a Screw-Nut pair, onto the head of the screw.
Mathematically, it is formulated as the difference between the Nominal/Major Area and Core/Root Area of an engaged thread.

How to Calculate Bearing Area between Screw and Nut for One Thread?

Bearing Area between Screw and Nut for One Thread calculator uses Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4 to calculate the Bearing area between screw and nut, Bearing Area between Screw and Nut for One Thread refers to the area of the screw head that directly bears on the part being fastened. Bearing area between screw and nut is denoted by A symbol.

How to calculate Bearing Area between Screw and Nut for One Thread using this online calculator? To use this online calculator for Bearing Area between Screw and Nut for One Thread, enter Nominal diameter of screw (d) & Core diameter of screw (d_c) and hit the calculate button. Here is how the Bearing Area between Screw and Nut for One Thread calculation can be explained with given input values -> 5.8E+8 = pi*((0.05^2)-(0.042^2))/4.

FAQ

What is Bearing Area between Screw and Nut for One Thread?

Bearing Area between Screw and Nut for One Thread refers to the area of the screw head that directly bears on the part being fastened and is represented as A = pi*((d^2)-(d_c^2))/4 or Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4. Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw & Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

How to calculate Bearing Area between Screw and Nut for One Thread?

Bearing Area between Screw and Nut for One Thread refers to the area of the screw head that directly bears on the part being fastened is calculated using Bearing area between screw and nut = pi*((Nominal diameter of screw^2)-(Core diameter of screw^2))/4. To calculate Bearing Area between Screw and Nut for One Thread, you need Nominal diameter of screw (d) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Nominal diameter of screw & Core diameter 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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