Core Diameter of Bolt given Tensile Force on Bolt in Shear 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%
✖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%
✖Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear.ⓘ Shear Yield Strength of Bolt [S_sy]			+10% -10%
✖Height of Nut is defined as the height of the nut that is used in fitting to the bolt.ⓘ Height of Nut [h]			+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 Shear [d_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut)
d_c = P_tb*f_s/(pi*S_sy*h)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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.
Shear Yield Strength of Bolt - (Measured in Pascal) - Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear.
Height of Nut - (Measured in Meter) - Height of Nut is defined as the height of the nut that is used in fitting to the bolt.

STEP 1: Convert Input(s) to Base Unit

Tensile Force in Bolt: 9990 Newton --> 9990 Newton No Conversion Required
Factor of Safety of Bolted Joint: 3 --> No Conversion Required
Shear Yield Strength of Bolt: 132.6 Newton per Square Millimeter --> 132600000 Pascal (Check conversion here)
Height of Nut: 6 Millimeter --> 0.006 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = P_tb*f_s/(pi*S_sy*h) --> 9990*3/(pi*132600000*0.006)

Evaluating ... ...

d_c = 0.0119906325904075

STEP 3: Convert Result to Output's Unit

0.0119906325904075 Meter -->11.9906325904075 Millimeter (Check conversion here)

FINAL ANSWER

11.9906325904075 ≈ 11.99063 Millimeter <-- Core Diameter of Bolt

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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National Institute Of Technology (NIT), Hamirpur

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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 Shear Formula

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)
d_c = P_tb*f_s/(pi*S_sy*h)

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 Shear?

Core Diameter of Bolt given Tensile Force on Bolt in Shear calculator uses Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut) to calculate the Core Diameter of Bolt, Core Diameter of Bolt given Tensile Force on Bolt in Shear formula is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter”. Core Diameter of Bolt is denoted by d_c symbol.

How to calculate Core Diameter of Bolt given Tensile Force on Bolt in Shear using this online calculator? To use this online calculator for Core Diameter of Bolt given Tensile Force on Bolt in Shear, enter Tensile Force in Bolt (P_tb), Factor of Safety of Bolted Joint (f_s), Shear Yield Strength of Bolt (S_sy) & Height of Nut (h) and hit the calculate button. Here is how the Core Diameter of Bolt given Tensile Force on Bolt in Shear calculation can be explained with given input values -> 11990.63 = 9990*3/(pi*132600000*0.006).

FAQ

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

Core Diameter of Bolt given Tensile Force on Bolt in Shear formula is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” and is represented as d_c = P_tb*f_s/(pi*S_sy*h) or Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut). Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen, Factor of Safety of Bolted Joint expresses how much stronger a bolted joint system is than it needs to be for an intended load, Shear Yield Strength of Bolt is the strength of the bolt against the type of yield or structural failure when the material or component fails in shear & Height of Nut is defined as the height of the nut that is used in fitting to the bolt.

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

Core Diameter of Bolt given Tensile Force on Bolt in Shear formula is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” is calculated using Core Diameter of Bolt = Tensile Force in Bolt*Factor of Safety of Bolted Joint/(pi*Shear Yield Strength of Bolt*Height of Nut). To calculate Core Diameter of Bolt given Tensile Force on Bolt in Shear, you need Tensile Force in Bolt (P_tb), Factor of Safety of Bolted Joint (f_s), Shear Yield Strength of Bolt (S_sy) & Height of Nut (h). With our tool, you need to enter the respective value for Tensile Force in Bolt, Factor of Safety of Bolted Joint, Shear Yield Strength of 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 Bolt?

In this formula, Core Diameter of Bolt uses Tensile Force in Bolt, Factor of Safety of Bolted Joint, Shear Yield Strength of Bolt & Height of Nut. 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 = sqrt(Tensile Force in Bolt/(pi/4*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint))
Core Diameter of Bolt = Shear Area of Nut/(pi*Height of Nut)

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