Nominal Diameter of Screw given Unit Bearing Pressure Calculator

✖Axial load on screw is the instantaneous load applied to the screw along its axis.ⓘ Axial load on screw [W_a]			+10% -10%
✖Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair.ⓘ Unit bearing pressure for nut [S_b]			+10% -10%
✖A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut.ⓘ Number of Engaged Threads [z]			+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%

✖Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.ⓘ Nominal Diameter of Screw given Unit Bearing Pressure [d]

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Nominal Diameter of Screw given Unit Bearing Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2)
d = sqrt((4*W_a/(S_b*pi*z))+(d_c)^2)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Axial load on screw - (Measured in Newton) - Axial load on screw is the instantaneous load applied to the screw along its axis.
Unit bearing pressure for nut - (Measured in Pascal) - Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair.
Number of Engaged Threads - A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut.
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

Axial load on screw: 131000 Newton --> 131000 Newton No Conversion Required
Unit bearing pressure for nut: 24.9 Newton per Square Millimeter --> 24900000 Pascal (Check conversion here)
Number of Engaged Threads: 9 --> No Conversion Required
Core diameter of screw: 42 Millimeter --> 0.042 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((4*W_a/(S_b*pi*z))+(d_c)^2) --> sqrt((4*131000/(24900000*pi*9))+(0.042)^2)

Evaluating ... ...

d = 0.0500827864555631

STEP 3: Convert Result to Output's Unit

0.0500827864555631 Meter -->50.0827864555631 Millimeter (Check conversion here)

FINAL ANSWER

50.0827864555631 ≈ 50.08279 Millimeter <-- Nominal diameter of screw

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< Design of Screw and Nut Calculators

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

Nominal Diameter of Screw given Unit Bearing Pressure Formula

Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2)
d = sqrt((4*W_a/(S_b*pi*z))+(d_c)^2)

Define nominal diameter of Screw?

The size most commonly associated with screw threads is the nominal diameter. Nominal diameter is a more of a label than a size. For example, a bolt and nut may be described as being ½” diameter. But neither the external threads of the bolt nor the internal threads of the nut are exactly

How to Calculate Nominal Diameter of Screw given Unit Bearing Pressure?

Nominal Diameter of Screw given Unit Bearing Pressure calculator uses Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2) to calculate the Nominal diameter of screw, Nominal Diameter of Screw given Unit Bearing Pressure is defined as the largest diameter of the screw .It is also called major diameter. Nominal diameter of screw is denoted by d symbol.

How to calculate Nominal Diameter of Screw given Unit Bearing Pressure using this online calculator? To use this online calculator for Nominal Diameter of Screw given Unit Bearing Pressure, enter Axial load on screw (W_a), Unit bearing pressure for nut (S_b), Number of Engaged Threads (z) & Core diameter of screw (d_c) and hit the calculate button. Here is how the Nominal Diameter of Screw given Unit Bearing Pressure calculation can be explained with given input values -> 50082.79 = sqrt((4*131000/(24900000*pi*9))+(0.042)^2).

FAQ

What is Nominal Diameter of Screw given Unit Bearing Pressure?

Nominal Diameter of Screw given Unit Bearing Pressure is defined as the largest diameter of the screw .It is also called major diameter and is represented as d = sqrt((4*W_a/(S_b*pi*z))+(d_c)^2) or Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2). Axial load on screw is the instantaneous load applied to the screw along its axis, Unit bearing pressure for nut is the average pressure acting on the contact surface of the thread in a Screw-Nut pair, A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut & 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 Nominal Diameter of Screw given Unit Bearing Pressure?

Nominal Diameter of Screw given Unit Bearing Pressure is defined as the largest diameter of the screw .It is also called major diameter is calculated using Nominal diameter of screw = sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2). To calculate Nominal Diameter of Screw given Unit Bearing Pressure, you need Axial load on screw (W_a), Unit bearing pressure for nut (S_b), Number of Engaged Threads (z) & Core diameter of screw (d_c). With our tool, you need to enter the respective value for Axial load on screw, Unit bearing pressure for nut, Number of Engaged Threads & 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.

How many ways are there to calculate Nominal diameter of screw?

In this formula, Nominal diameter of screw uses Axial load on screw, Unit bearing pressure for nut, Number of Engaged Threads & Core diameter of screw. We can use 3 other way(s) to calculate the same, which is/are as follows -

Nominal diameter of screw = Core diameter of screw+Pitch of power screw thread
Nominal diameter of screw = Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)
Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads)

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