Core diameter of Bolt given Tensile Stress 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%
✖Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.ⓘ Tensile Stress in Bolt [σ_t]			+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 given Tensile Stress [d_c']

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Core diameter of Bolt given Tensile Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt))
d_c' = sqrt(4*P/(pi*σ_t))
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 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.
Tensile Stress in Bolt - (Measured in Pascal) - Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

STEP 1: Convert Input(s) to Base Unit

Tensile Force on Bolt: 28200 Newton --> 28200 Newton No Conversion Required
Tensile Stress in Bolt: 145 Newton per Square Millimeter --> 145000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c' = sqrt(4*P/(pi*σ_t)) --> sqrt(4*28200/(pi*145000000))

Evaluating ... ...

d_c' = 0.0157360458516441

STEP 3: Convert Result to Output's Unit

0.0157360458516441 Meter -->15.7360458516441 Millimeter (Check conversion here)

FINAL ANSWER

15.7360458516441 ≈ 15.73605 Millimeter <-- Core Diameter of Threaded Bolt

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Core diameter of Bolt given Tensile Stress Formula

LaTeX Go

Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt))
d_c' = sqrt(4*P/(pi*σ_t))

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 given Tensile Stress?

Core diameter of Bolt given Tensile Stress calculator uses Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt)) to calculate the Core Diameter of Threaded Bolt, Core diameter of Bolt given Tensile Stress 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 given Tensile Stress using this online calculator? To use this online calculator for Core diameter of Bolt given Tensile Stress, enter Tensile Force on Bolt (P) & Tensile Stress in Bolt (σ_t) and hit the calculate button. Here is how the Core diameter of Bolt given Tensile Stress calculation can be explained with given input values -> 15736.05 = sqrt(4*28200/(pi*145000000)).

FAQ

What is Core diameter of Bolt given Tensile Stress?

Core diameter of Bolt given Tensile Stress 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' = sqrt(4*P/(pi*σ_t)) or Core Diameter of Threaded Bolt = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt)). The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt & Tensile Stress in Bolt can be defined as the magnitude of force applied along a bolt, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

How to calculate Core diameter of Bolt given Tensile Stress?

Core diameter of Bolt given Tensile Stress 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 = sqrt(4*Tensile Force on Bolt/(pi*Tensile Stress in Bolt)). To calculate Core diameter of Bolt given Tensile Stress, you need Tensile Force on Bolt (P) & Tensile Stress in Bolt (σ_t). With our tool, you need to enter the respective value for Tensile Force on Bolt & 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 Threaded Bolt?

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

Core Diameter of Threaded Bolt = Tensile Force on Bolt/(pi*Shear Stress in Bolt*Height of Nut)
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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