Core Diameter of Bolt given Maximum Tensile Stress in Bolt 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%
✖Maximum Tensile Stress in Bolt is the maximum amount of force per unit area acting onto the bolt so that it to prone to getting stretched.ⓘ Maximum Tensile Stress in Bolt [σt_max]			+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 Maximum Tensile Stress in Bolt [d_c]

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Core Diameter of Bolt given Maximum Tensile Stress in Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt))
d_c = sqrt(P_tb/((pi/4)*σt_max))
This formula uses 1 Constants, 1 Functions, 3 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.
Maximum Tensile Stress in Bolt - (Measured in Pascal) - Maximum Tensile Stress in Bolt is the maximum amount of force per unit area acting onto the bolt so that it to prone to getting stretched.

STEP 1: Convert Input(s) to Base Unit

Tensile Force in Bolt: 9990 Newton --> 9990 Newton No Conversion Required
Maximum Tensile Stress in Bolt: 88 Newton per Square Millimeter --> 88000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = sqrt(P_tb/((pi/4)*σt_max)) --> sqrt(9990/((pi/4)*88000000))

Evaluating ... ...

d_c = 0.0120225465517843

STEP 3: Convert Result to Output's Unit

0.0120225465517843 Meter -->12.0225465517843 Millimeter (Check conversion here)

FINAL ANSWER

12.0225465517843 ≈ 12.02255 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 Maximum Tensile Stress in Bolt

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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 Maximum Tensile Stress in Bolt Formula

LaTeX Go

Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt))
d_c = sqrt(P_tb/((pi/4)*σt_max))

Define Core Diameter of Nut

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 Maximum Tensile Stress in Bolt?

Core Diameter of Bolt given Maximum Tensile Stress in Bolt calculator uses Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt)) to calculate the Core Diameter of Bolt, The Core Diameter of Bolt given Maximum Tensile Stress in Bolt 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 Maximum Tensile Stress in Bolt using this online calculator? To use this online calculator for Core Diameter of Bolt given Maximum Tensile Stress in Bolt, enter Tensile Force in Bolt (P_tb) & Maximum Tensile Stress in Bolt (σt_max) and hit the calculate button. Here is how the Core Diameter of Bolt given Maximum Tensile Stress in Bolt calculation can be explained with given input values -> 12022.55 = sqrt(9990/((pi/4)*88000000)).

FAQ

What is Core Diameter of Bolt given Maximum Tensile Stress in Bolt?

The Core Diameter of Bolt given Maximum Tensile Stress in Bolt 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 = sqrt(P_tb/((pi/4)*σt_max)) or Core Diameter of Bolt = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt)). Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen & Maximum Tensile Stress in Bolt is the maximum amount of force per unit area acting onto the bolt so that it to prone to getting stretched.

How to calculate Core Diameter of Bolt given Maximum Tensile Stress in Bolt?

The Core Diameter of Bolt given Maximum Tensile Stress in Bolt 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 = sqrt(Tensile Force in Bolt/((pi/4)*Maximum Tensile Stress in Bolt)). To calculate Core Diameter of Bolt given Maximum Tensile Stress in Bolt, you need Tensile Force in Bolt (P_tb) & Maximum Tensile Stress in Bolt (σt_max). With our tool, you need to enter the respective value for Tensile Force in Bolt & Maximum Tensile Stress in Bolt 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 & Maximum Tensile Stress in Bolt. 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*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint))
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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