Core Diameter of Bolt given Tensile Force on Bolt in Tension Calculator

✖Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.ⓘ Tensile Force in Bolt [P_tb]			+10% -10%
✖Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.ⓘ Tensile Yield Strength of Bolt [S_yt]			+10% -10%
✖Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.ⓘ Factor of Safety of Bolted Joint [f_s]			+10% -10%

✖Core Diameter of 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 given Tensile Force on Bolt in Tension [d_c]

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Core Diameter of Bolt given Tensile Force on Bolt in Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint))
d_c = sqrt(P_tb/(pi/4*S_yt/f_s))
This formula uses 1 Constants, 1 Functions, 4 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

Core Diameter of Bolt - (Measured in Meter) - Core Diameter of 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 in Bolt - (Measured in Newton) - Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.
Tensile Yield Strength of Bolt - (Measured in Pascal) - Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.
Factor of Safety of Bolted Joint - Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Tensile Force in Bolt: 9990 Newton --> 9990 Newton No Conversion Required
Tensile Yield Strength of Bolt: 265.5 Newton per Square Millimeter --> 265500000 Pascal (Check conversion here)
Factor of Safety of Bolted Joint: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = sqrt(P_tb/(pi/4*S_yt/f_s)) --> sqrt(9990/(pi/4*265500000/3))

Evaluating ... ...

d_c = 0.0119885364509688

STEP 3: Convert Result to Output's Unit

0.0119885364509688 Meter -->11.9885364509688 Millimeter (Check conversion here)

FINAL ANSWER

11.9885364509688 ≈ 11.98854 Millimeter <-- Core Diameter of Bolt

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Threaded Bolted Joints » Mechanical » Bolt Dimensions » Core Diameter of Bolt given Tensile Force on Bolt in Tension

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Bolt Dimensions Calculators

Core Diameter of Bolt given Tensile Force on Bolt in Shear

LaTeX Go Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut)

Core Diameter of Bolt given Tensile Force on Bolt in Tension

LaTeX Go Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint))

Core Diameter of Bolt given Maximum Tensile Stress in Bolt

LaTeX Go Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt))

Core Diameter of Bolt given Shear Area of Nut

LaTeX Go Core Diameter of Bolt = Shear Area of Nut/(pi*Height of Nut)

Core Diameter of Bolt given Tensile Force on Bolt in Tension Formula

LaTeX Go

Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint))
d_c = sqrt(P_tb/(pi/4*S_yt/f_s))

Define Core Diameter

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 and also the term “inside diameter” as applied to the thread of a nut.

How to Calculate Core Diameter of Bolt given Tensile Force on Bolt in Tension?

Core Diameter of Bolt given Tensile Force on Bolt in Tension calculator uses Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint)) to calculate the Core Diameter of Bolt, Core Diameter of Bolt given Tensile Force on Bolt in Tension formula 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 and also the term “inside diameter” as applied to the thread of a nut. Core Diameter of Bolt is denoted by d_c symbol.

How to calculate Core Diameter of Bolt given Tensile Force on Bolt in Tension using this online calculator? To use this online calculator for Core Diameter of Bolt given Tensile Force on Bolt in Tension, enter Tensile Force in Bolt (P_tb), Tensile Yield Strength of Bolt (S_yt) & Factor of Safety of Bolted Joint (f_s) and hit the calculate button. Here is how the Core Diameter of Bolt given Tensile Force on Bolt in Tension calculation can be explained with given input values -> 11988.54 = sqrt(9990/(pi/4*265500000/3)).

FAQ

What is Core Diameter of Bolt given Tensile Force on Bolt in Tension?

Core Diameter of Bolt given Tensile Force on Bolt in Tension formula 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 and also the term “inside diameter” as applied to the thread of a nut and is represented as d_c = sqrt(P_tb/(pi/4*S_yt/f_s)) or Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint)). Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen, Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions & Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load.

How to calculate Core Diameter of Bolt given Tensile Force on Bolt in Tension?

Core Diameter of Bolt given Tensile Force on Bolt in Tension formula 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 and also the term “inside diameter” as applied to the thread of a nut is calculated using Core Diameter of Bolt = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint)). To calculate Core Diameter of Bolt given Tensile Force on Bolt in Tension, you need Tensile Force in Bolt (P_tb), Tensile Yield Strength of Bolt (S_yt) & Factor of Safety of Bolted Joint (f_s). With our tool, you need to enter the respective value for Tensile Force in Bolt, Tensile Yield Strength of Bolt & Factor of Safety of Bolted Joint 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 Bolt?

In this formula, Core Diameter of Bolt uses Tensile Force in Bolt, Tensile Yield Strength of Bolt & Factor of Safety of Bolted Joint. We can use 3 other way(s) to calculate the same, which is/are as follows -

Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt))
Core Diameter of Bolt = Shear Area of Nut/(pi*Height of Nut)
Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut)

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