Tensile Stress Area of Threaded fastener Calculator

✖Pitch Diameter of External Thread is the simple effective diameter of external screw thread, approximately halfway between the major and minor diameters.ⓘ Pitch Diameter of External Thread [d_p]			+10% -10%
✖The Minor Diameter of External Thread is the diameter of the imaginary co-axial cylinder that just touches the base of an external thread.ⓘ Minor Diameter of External Thread [d_c]			+10% -10%

✖Tensile stress area of threaded fastener is the cross-section area of a threaded bolt or screw onto which the tensile force is acting.ⓘ Tensile Stress Area of Threaded fastener [A]

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Formula

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Tensile Stress Area of Threaded fastener

Formula

`"A" = (pi/4)*((("d"_{"p"}+"d"_{"c"})/2)^2)`

Example

`"532.7686mm²"=(pi/4)*((("27.2mm"+"24.89mm")/2)^2)`

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Tensile Stress Area of Threaded fastener Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2)
A = (pi/4)*(((d_p+d_c)/2)^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tensile stress area of threaded fastener - (Measured in Square Meter) - Tensile stress area of threaded fastener is the cross-section area of a threaded bolt or screw onto which the tensile force is acting.
Pitch Diameter of External Thread - (Measured in Meter) - Pitch Diameter of External Thread is the simple effective diameter of external screw thread, approximately halfway between the major and minor diameters.
Minor Diameter of External Thread - (Measured in Meter) - The Minor Diameter of External Thread is the diameter of the imaginary co-axial cylinder that just touches the base of an external thread.

STEP 1: Convert Input(s) to Base Unit

Pitch Diameter of External Thread: 27.2 Millimeter --> 0.0272 Meter (Check conversion here)
Minor Diameter of External Thread: 24.89 Millimeter --> 0.02489 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (pi/4)*(((d_p+d_c)/2)^2) --> (pi/4)*(((0.0272+0.02489)/2)^2)

Evaluating ... ...

A = 0.000532768580590306

STEP 3: Convert Result to Output's Unit

0.000532768580590306 Square Meter -->532.768580590306 Square Millimeter (Check conversion here)

FINAL ANSWER

532.768580590306 ≈ 532.7686 Square Millimeter <-- Tensile stress area of threaded fastener

(Calculation completed in 00.020 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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 Area of Threaded fastener Formula

Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2)
A = (pi/4)*(((d_p+d_c)/2)^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 Area of Threaded fastener?

Tensile Stress Area of Threaded fastener calculator uses Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2) to calculate the Tensile stress area of threaded fastener, Tensile Stress Area of Threaded fastener formula is defined as the effective cross-sectional area of the threaded rod that resists rod fracture is the tensile stress area. Tensile stress area of threaded fastener is denoted by A symbol.

How to calculate Tensile Stress Area of Threaded fastener using this online calculator? To use this online calculator for Tensile Stress Area of Threaded fastener, enter Pitch Diameter of External Thread (d_p) & Minor Diameter of External Thread (d_c) and hit the calculate button. Here is how the Tensile Stress Area of Threaded fastener calculation can be explained with given input values -> 5.3E+8 = (pi/4)*(((0.0272+0.02489)/2)^2).

FAQ

What is Tensile Stress Area of Threaded fastener?

Tensile Stress Area of Threaded fastener formula is defined as the effective cross-sectional area of the threaded rod that resists rod fracture is the tensile stress area and is represented as A = (pi/4)*(((d_p+d_c)/2)^2) or Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2). Pitch Diameter of External Thread is the simple effective diameter of external screw thread, approximately halfway between the major and minor diameters & The Minor Diameter of External Thread is the diameter of the imaginary co-axial cylinder that just touches the base of an external thread.

How to calculate Tensile Stress Area of Threaded fastener?

Tensile Stress Area of Threaded fastener formula is defined as the effective cross-sectional area of the threaded rod that resists rod fracture is the tensile stress area is calculated using Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2). To calculate Tensile Stress Area of Threaded fastener, you need Pitch Diameter of External Thread (d_p) & Minor Diameter of External Thread (d_c). With our tool, you need to enter the respective value for Pitch Diameter of External Thread & Minor Diameter of External Thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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