Core Diameter of Bolt Calculator

✖The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.ⓘ Tensile Force on Bolt [P]			+10% -10%
✖Shear stress in bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear stress in bolt [𝜏]			+10% -10%
✖Height of nut is the length of the nut measured along its central axis.ⓘ Height of nut [h_nut]			+10% -10%

✖Core Diameter of Threaded Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.ⓘ Core Diameter of Bolt [d_c']

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Formula

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Core Diameter of Bolt

Formula

`("d"_{"c"}"'") = "P"/(pi*"𝜏"*"h"_{"nut"})`

Example

`"8.500321mm"="28200N"/(pi*"120N/mm²"*"8.8mm")`

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Download Design of Threaded Fastener Formula PDF

Core Diameter of Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear stress in bolt*Height of nut)
d_c' = P/(pi*𝜏*h_nut)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Core Diameter of Threaded Bolt - (Measured in Meter) - Core Diameter of Threaded Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.
Tensile Force on Bolt - (Measured in Newton) - The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.
Shear stress in bolt - (Measured in Pascal) - Shear stress in bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress.
Height of nut - (Measured in Meter) - Height of nut is the length of the nut measured along its central axis.

STEP 1: Convert Input(s) to Base Unit

Tensile Force on Bolt: 28200 Newton --> 28200 Newton No Conversion Required
Shear stress in bolt: 120 Newton per Square Millimeter --> 120000000 Pascal (Check conversion here)
Height of nut: 8.8 Millimeter --> 0.0088 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c' = P/(pi*𝜏*h_nut) --> 28200/(pi*120000000*0.0088)

Evaluating ... ...

d_c' = 0.00850032082422623

STEP 3: Convert Result to Output's Unit

0.00850032082422623 Meter -->8.50032082422623 Millimeter (Check conversion here)

FINAL ANSWER

8.50032082422623 ≈ 8.500321 Millimeter <-- Core Diameter of Threaded Bolt

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Threaded Fastener » Fastner Geometry » Core Diameter of Bolt

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 25 Fastner Geometry Calculators

Core diameter of Bolt given Tensile Stress

Go Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile stress in bolt))

Height of Fundamental Triangle of Screw Threads given Minor Diameter of External Thread

Go Height of Fundamental Triangle = (12/17)*(Major Diameter of External Thread-Minor Diameter of External Thread)

Major Diameter of External Thread given Minor Diameter of External Thread

Go Major Diameter of External Thread = Minor Diameter of External Thread+((17/12)*Height of Fundamental Triangle)

Minor Diameter of External Thread given Height of Fundamental Triangle

Go Minor Diameter of External Thread = Major Diameter of External Thread-((17/12)*Height of Fundamental Triangle)

Height of Fundamental Triangle of Screw Threads given Pitch Diameter of Internal Thread

Go Height of Fundamental Triangle = (Major Diameter of Internal Thread-Pitch Diameter of Internal Thread)/0.75

Height of Fundamental Triangle of Screw Threads given Pitch Diameter of External Thread

Go Height of Fundamental Triangle = (Major Diameter of External Thread-Pitch Diameter of External Thread)/0.75

Height of Fundamental Triangle of Screw Threads given Minor Diameter of Internal Thread

Go Height of Fundamental Triangle = (Major Diameter of Internal Thread-Minor Diameter of Internal Thread)/1.25

Major Diameter of Internal Thread given Pitch Diameter of Internal Thread

Go Major Diameter of Internal Thread = Pitch Diameter of Internal Thread+(0.75*Height of Fundamental Triangle)

Pitch Diameter of Internal Thread given Height of Fundamental Triangle

Go Pitch Diameter of Internal Thread = Major Diameter of Internal Thread-(0.75*Height of Fundamental Triangle)

Pitch Diameter of External Thread given Height of Fundamental Triangle

Go Pitch Diameter of External Thread = Major Diameter of External Thread-(0.75*Height of Fundamental Triangle)

Major Diameter of External Thread given Height of Fundamental Triangle

Go Major Diameter of External Thread = Pitch Diameter of External Thread+(0.75*Height of Fundamental Triangle)

Minor Diameter of Internal Thread given Height of Fundamental Triangle

Go Minor Diameter of Internal Thread = Major Diameter of Internal Thread-(1.25*Height of Fundamental Triangle)

Major Diameter of Internal Thread given Height of Fundamental triangle

Go Major Diameter of Internal Thread = Minor Diameter of Internal Thread+(1.25*Height of Fundamental Triangle)

Minor Diameter of Internal Thread given Pitch and Pitch Diameter of Internal Thread

Go Major Diameter of Internal Thread = Pitch Diameter of Internal Thread+(0.650*Pitch of threads)

Major Diameter of External Thread given Pitch and Pitch Diameter of External Thread

Go Major Diameter of External Thread = Pitch Diameter of External Thread+(0.650*Pitch of threads)

Minor Diameter of Internal Thread given Pitch and Major Diameter of Internal Thread

Go Minor Diameter of Internal Thread = Major Diameter of Internal Thread-(1.083*Pitch of threads)

Major Diameter of Internal Thread given Pitch and Minor Diameter of Internal Thread

Go Major Diameter of Internal Thread = (1.083*Pitch of threads)+Minor Diameter of Internal Thread

Minor Diameter of External Thread given Pitch and Major Diameter of Internal Thread

Go Minor Diameter of External Thread = Major Diameter of Internal Thread-(1.227*Pitch of threads)

Major Diameter of Internal Thread given Pitch and Minor Diameter of External Thread

Go Major Diameter of Internal Thread = Minor Diameter of External Thread+(1.227*Pitch of threads)

Pitch of Threads given Pitch Diameter of Internal Thread

Go Pitch of threads = (Major Diameter of Internal Thread-Pitch Diameter of Internal Thread)/0.650

Pitch of Threads given Pitch Diameter of External Thread

Go Pitch of threads = (Major Diameter of External Thread-Pitch Diameter of External Thread)/0.650

Pitch of Threads given Minor Diameter of Internal Thread

Go Pitch of threads = (Major Diameter of Internal Thread-Minor Diameter of Internal Thread)/1.083

Pitch of Threads given Major Diameter of Internal Thread

Go Pitch of threads = (Major Diameter of Internal Thread-Minor Diameter of External Thread)/1.227

Pitch Diameter of Internal Thread given Pitch

Go Pitch Diameter of Internal Thread = Major Diameter of Internal Thread-(0.650*Pitch of threads)

Pitch Diameter of External Thread given Pitch

Go Pitch Diameter of External Thread = Major Diameter of External Thread-(0.650*Pitch of threads)

Core Diameter of Bolt Formula

Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear stress in bolt*Height of nut)
d_c' = P/(pi*𝜏*h_nut)

What is a fastener?

A fastener or fastening is a hardware device that mechanically joins or affixes two or more objects together. In general, fasteners are used to create non-permanent joints; that is, joints that can be removed or dismantled without damaging the joining components.

How to Calculate Core Diameter of Bolt?

Core Diameter of Bolt calculator uses Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear stress in bolt*Height of nut) to calculate the Core Diameter of Threaded Bolt, Core Diameter of Bolt formula is defined as the smallest diameter of the thread of the bolt, screw, or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw and also the term “inside diameter” as applied to the thread of a nut. Core Diameter of Threaded Bolt is denoted by d_c' symbol.

How to calculate Core Diameter of Bolt using this online calculator? To use this online calculator for Core Diameter of Bolt, enter Tensile Force on Bolt (P), Shear stress in bolt (𝜏) & Height of nut (h_nut) and hit the calculate button. Here is how the Core Diameter of Bolt calculation can be explained with given input values -> 8500.321 = 28200/(pi*120000000*0.0088).

FAQ

What is Core Diameter of Bolt?

Core Diameter of Bolt formula is defined as the smallest diameter of the thread of the bolt, screw, or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw and also the term “inside diameter” as applied to the thread of a nut and is represented as d_c' = P/(pi*𝜏*h_nut) or Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear stress in bolt*Height of nut). The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt, Shear stress in bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress & Height of nut is the length of the nut measured along its central axis.

How to calculate Core Diameter of Bolt?

Core Diameter of Bolt formula is defined as the smallest diameter of the thread of the bolt, screw, or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw and also the term “inside diameter” as applied to the thread of a nut is calculated using Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear stress in bolt*Height of nut). To calculate Core Diameter of Bolt, you need Tensile Force on Bolt (P), Shear stress in bolt (𝜏) & Height of nut (h_nut). With our tool, you need to enter the respective value for Tensile Force on Bolt, Shear stress in bolt & Height of nut 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 Core Diameter of Threaded Bolt?

In this formula, Core Diameter of Threaded Bolt uses Tensile Force on Bolt, Shear stress in bolt & Height of nut. We can use 3 other way(s) to calculate the same, which is/are as follows -

Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile stress in bolt))
Core Diameter of Threaded Bolt = Nominal Diameter of Threaded Bolt-(1.22687*Pitch of bolt threads)
Core Diameter of Threaded Bolt = 0.8*Nominal Diameter of Threaded Bolt

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