Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter 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%
✖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 Threaded Bolt [d_c']			+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 Core Cross-Section of Bolt given Tensile Force and Core Diameter [σ_t]

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Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

Formula

`"σ"_{"t"} = "P"/((pi/4)*(("d"_{"c"}"'")^2))`

Example

`"496.9599N/mm²"="28200N"/((pi/4)*(("8.5mm")^2))`

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Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2))
σ_t = P/((pi/4)*(d_c'^2))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Tensile Force on Bolt: 28200 Newton --> 28200 Newton No Conversion Required
Core Diameter of Threaded Bolt: 8.5 Millimeter --> 0.0085 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_t = P/((pi/4)*(d_c'^2)) --> 28200/((pi/4)*(0.0085^2))

Evaluating ... ...

σ_t = 496959933.031579

STEP 3: Convert Result to Output's Unit

496959933.031579 Pascal -->496.959933031579 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

496.959933031579 ≈ 496.9599 Newton per Square Millimeter <-- Tensile stress in bolt

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Threaded Fastener » Structural Response and Force Analysis » Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

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National Institute of Technology (NIT), Tiruchirapalli

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< 17 Structural Response and Force Analysis Calculators

Change in external load on bolt given external load and stiffness of boad

Go Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts))

Tensile Stress Area of Threaded fastener

Go Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2)

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force

Go Shear stress in bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of nut)

Tensile Force acting on Bolt given Shear Stress

Go Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)

Tensile Force acting on Bolt

Go Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

Go Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2))

Tensile Force acting on Bolt given Tensile Stress

Go Tensile Force on Bolt = Tensile stress in bolt*pi*(Core Diameter of Threaded Bolt^2)/4

Change in Load on Bolt given Resultant Load and Initial Preload in Bolt

Go Change in External Load = Resultant load on bolt-Initial preload in bolt due to tightening of nut

Initial Preload in Bolt due to Tightening

Go Initial preload in bolt due to tightening of nut = Resultant load on bolt-Change in External Load

Resultant Load on Bolt

Go Resultant load on bolt = Initial preload in bolt due to tightening of nut+Change in External Load

Shear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength

Go Shear stress in bolt = Tensile yield strength of bolt/(2*Factor of Safety for Bolt)

Tensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength

Go Tensile stress in bolt = Tensile yield strength of bolt/Factor of Safety for Bolt

Tensile Yield Strength of Bolt

Go Tensile yield strength of bolt = Factor of Safety for Bolt*Tensile stress in bolt

Shear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener

Go Shear stress in bolt = Shear yield strength of bolt/Factor of Safety for Bolt

Primary Shear Force on each Bolt

Go Primary shear load on bolt = External Force on Bolt/Number of Bolts in Joint

External Force on Bolt

Go External Force on Bolt = Number of Bolts in Joint*Primary shear load on bolt

Ultimate Tensile Strength of Bolt

Go Ultimate tensile strength of bolt = 2*Endurance limit of rotating beam bolt specimen

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter Formula

Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2))
σ_t = P/((pi/4)*(d_c'^2))

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 Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter calculator uses Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2)) to calculate the Tensile stress in bolt, Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter formula is defined as the ratio of tensile force on bolt to the area of the cross-section of the bolt. Tensile stress in bolt is denoted by σ_t symbol.

How to calculate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter using this online calculator? To use this online calculator for Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter, enter Tensile Force on Bolt (P) & Core Diameter of Threaded Bolt (d_c') and hit the calculate button. Here is how the Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter calculation can be explained with given input values -> 0.000497 = 28200/((pi/4)*(0.0085^2)).

FAQ

What is Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter formula is defined as the ratio of tensile force on bolt to the area of the cross-section of the bolt and is represented as σ_t = P/((pi/4)*(d_c'^2)) or Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2)). The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt & 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.

How to calculate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter?

Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter formula is defined as the ratio of tensile force on bolt to the area of the cross-section of the bolt is calculated using Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2)). To calculate Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter, you need Tensile Force on Bolt (P) & Core Diameter of Threaded Bolt (d_c'). With our tool, you need to enter the respective value for Tensile Force on Bolt & Core Diameter of Threaded 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 Tensile stress in bolt?

In this formula, Tensile stress in bolt uses Tensile Force on Bolt & Core Diameter of Threaded Bolt. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tensile stress in bolt = Tensile yield strength of bolt/Factor of Safety for Bolt

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