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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
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## Core Diameter When Strength of Bolt in Tension is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety))
dc = sqrt(TS/(pi/4)*(Syt/N))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Tensile strength - Tensile strength is the stress at the maximum on the engineering stress–strain curve. The tensile strength is in MegaPascals. (Measured in Megapascal)
Tensile Yield Strength - Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions. (Measured in Newton per Square Meter)
Factor of safety- Factor of safety expresses how much stronger a system is than it needs to be for an intended load.
STEP 1: Convert Input(s) to Base Unit
Tensile strength: 100 Megapascal --> 100000000 Pascal (Check conversion here)
Tensile Yield Strength: 10 Newton per Square Meter --> 10 Pascal (Check conversion here)
Factor of safety: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dc = sqrt(TS/(pi/4)*(Syt/N)) --> sqrt(100000000/(pi/4)*(10/2))
Evaluating ... ...
dc = 25231.3252202016
STEP 3: Convert Result to Output's Unit
25231.3252202016 Meter -->25231325.2202016 Millimeter (Check conversion here)
FINAL ANSWER
25231325.2202016 Millimeter <-- Core Diameter
(Calculation completed in 00.016 seconds)

## < 10+ Bolted Joints Calculators

Core Diameter When Strength of Bolt in Tension is Given
core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety)) Go
Factor of Safety When Strength of Bolt in Tension is Given
factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength) Go
Strength of Bolt in Tension
tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety) Go
Yield Strength in Tension When Strength of Bolt in Tension is Given
tensile_yield_strength = 4*Tensile strength*Factor of safety/(pi*Core Diameter^2) Go
Core Diameter of Bolt When Maximum Tensile Stress in the Bolt is Given
core_diameter = sqrt(Tensile load/((pi/4)*Maximum tensile stress)) Go
Tensile Force When Maximum Tensile Stress in the Bolt is Given
tensile_load = Maximum tensile stress*((pi/4)*Core Diameter^2) Go
Maximum Tensile Stress in the Bolt
max_tensile_stress = Tensile load/((pi/4)*Core Diameter^2) Go
Height of Nut When Shear Area is Given
height_of_nut = Shear Area/(pi*Core Diameter) Go
Core Diameter When Shear Area is Given
core_diameter = Shear Area/pi*Height of Nut Go
Shear Area of a bolted joint
shear_area = pi*Core Diameter*Height of Nut Go

### Core Diameter When Strength of Bolt in Tension is Given Formula

core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety))
dc = sqrt(TS/(pi/4)*(Syt/N))

## 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 When Strength of Bolt in Tension is Given?

Core Diameter When Strength of Bolt in Tension is Given calculator uses core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety)) to calculate the Core Diameter, The Core Diameter When Strength of Bolt in Tension is Given 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 and is denoted by dc symbol.

How to calculate Core Diameter When Strength of Bolt in Tension is Given using this online calculator? To use this online calculator for Core Diameter When Strength of Bolt in Tension is Given, enter Tensile strength (TS), Tensile Yield Strength (Syt) and Factor of safety (N) and hit the calculate button. Here is how the Core Diameter When Strength of Bolt in Tension is Given calculation can be explained with given input values -> 2.523E+7 = sqrt(100000000/(pi/4)*(10/2)).

### FAQ

What is Core Diameter When Strength of Bolt in Tension is Given?
The Core Diameter When Strength of Bolt in Tension is Given 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 dc = sqrt(TS/(pi/4)*(Syt/N)) or core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety)). Tensile strength is the stress at the maximum on the engineering stress–strain curve. The tensile strength is in MegaPascals, Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions and Factor of safety expresses how much stronger a system is than it needs to be for an intended load.
How to calculate Core Diameter When Strength of Bolt in Tension is Given?
The Core Diameter When Strength of Bolt in Tension is Given 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 = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety)). To calculate Core Diameter When Strength of Bolt in Tension is Given, you need Tensile strength (TS), Tensile Yield Strength (Syt) and Factor of safety (N). With our tool, you need to enter the respective value for Tensile strength, Tensile Yield Strength and Factor of safety 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?
In this formula, Core Diameter uses Tensile strength, Tensile Yield Strength and Factor of safety. We can use 10 other way(s) to calculate the same, which is/are as follows -
• max_tensile_stress = Tensile load/((pi/4)*Core Diameter^2)
• tensile_load = Maximum tensile stress*((pi/4)*Core Diameter^2)
• core_diameter = sqrt(Tensile load/((pi/4)*Maximum tensile stress))
• tensile_strength = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Factor of safety)
• core_diameter = sqrt(Tensile strength/(pi/4)*(Tensile Yield Strength/Factor of safety))
• tensile_yield_strength = 4*Tensile strength*Factor of safety/(pi*Core Diameter^2)
• factor_of_safety = (pi/4)*(Core Diameter^2)*(Tensile Yield Strength/Tensile strength)
• shear_area = pi*Core Diameter*Height of Nut
• core_diameter = Shear Area/pi*Height of Nut
• height_of_nut = Shear Area/(pi*Core Diameter)
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