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Tensile Stress Area of Threaded fastener Formula

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Tensile Stress Area of Threaded Fastener is the cross-section area of a threaded bolt or screw onto which the tensile force is acting. Check FAQs

A = \frac{π}{4} \cdot {(\frac{d p + d c}{2})}^{2}

A - Tensile Stress Area of Threaded Fastener?d_p - Pitch Diameter of External Thread?d_c - Minor Diameter of External Thread?π - Archimedes' constant?

Tensile Stress Area of Threaded fastener Example

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Here is how the Tensile Stress Area of Threaded fastener equation looks like with Values.

Here is how the Tensile Stress Area of Threaded fastener equation looks like with Units.

Here is how the Tensile Stress Area of Threaded fastener equation looks like.

532.7686 = \frac{3.1416}{4} \cdot {(\frac{27.2 + 24.89}{2})}^{2}

532.7686mm² = \frac{3.1416}{4} \cdot {(\frac{27.2mm + 24.89mm}{2})}^{2}

532.7686 = \frac{3.1416}{4} \cdot {(\frac{27.2 + 24.89}{2})}^{2}

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Tensile Stress Area of Threaded fastener Solution

Follow our step by step solution on how to calculate Tensile Stress Area of Threaded fastener?

FIRST Step Consider the formula

A = \frac{π}{4} \cdot {(\frac{d p + d c}{2})}^{2}

Next Step Substitute values of Variables

∴

A = \frac{π}{4} \cdot {(\frac{27.2mm + 24.89mm}{2})}^{2}

Next Step Substitute values of Constants

∴

A = \frac{3.1416}{4} \cdot {(\frac{27.2mm + 24.89mm}{2})}^{2}

Next Step Convert Units

∴

A = \frac{3.1416}{4} \cdot {(\frac{0.0272m + 0.0249m}{2})}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{3.1416}{4} \cdot {(\frac{0.0272 + 0.0249}{2})}^{2}

Next Step Evaluate

∴

A = 0.000532768580590306m²

Next Step Convert to Output's Unit

∴

A = 532.768580590306mm²

LAST Step Rounding Answer

∴

A = 532.7686mm²

Tensile Stress Area of Threaded fastener Formula Elements

Variables

Constants

Tensile Stress Area of Threaded Fastener

Tensile Stress Area of Threaded Fastener is the cross-section area of a threaded bolt or screw onto which the tensile force is acting.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress Area of Threaded Fastener

Pitch Diameter of External Thread

Pitch Diameter of External Thread is the simple effective diameter of external screw thread, approximately halfway between the major and minor diameters.

Symbol: d_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Diameter of External Thread

Minor Diameter of External Thread

The Minor Diameter of External Thread is the diameter of the imaginary co-axial cylinder that just touches the base of an external thread.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minor Diameter of External Thread

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Structural Response and Force Analysis category

Go Tensile Force acting on Bolt given Tensile Stress

P = σ t \cdot π \cdot \frac{{d c'}^{2}}{4}

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

σ t = \frac{P}{\frac{π}{4} \cdot {d c'}^{2}}

Go Tensile Yield Strength of Bolt

σ yt = f s \cdot σ t

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

σ t = \frac{σ yt}{f s}

How to Evaluate Tensile Stress Area of Threaded fastener?

Tensile Stress Area of Threaded fastener evaluator uses Tensile Stress Area of Threaded Fastener = pi/4*((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2 to evaluate 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 evaluate Tensile Stress Area of Threaded fastener using this online evaluator? To use this online evaluator 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.

FAQs on Tensile Stress Area of Threaded fastener

What is the formula to find Tensile Stress Area of Threaded fastener?

The formula of Tensile Stress Area of Threaded fastener is expressed as Tensile Stress Area of Threaded Fastener = pi/4*((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2. Here is an example- 5.3E+8 = pi/4*((0.0272+0.02489)/2)^2.

How to calculate Tensile Stress Area of Threaded fastener?

With Pitch Diameter of External Thread (d_p) & Minor Diameter of External Thread (d_c) we can find Tensile Stress Area of Threaded fastener using the formula - Tensile Stress Area of Threaded Fastener = pi/4*((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2. This formula also uses Archimedes' constant .

Can the Tensile Stress Area of Threaded fastener be negative?

No, the Tensile Stress Area of Threaded fastener, measured in Area cannot be negative.

Which unit is used to measure Tensile Stress Area of Threaded fastener?

Tensile Stress Area of Threaded fastener is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Tensile Stress Area of Threaded fastener can be measured.

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Tensile Stress Area of Threaded fastener Formula

Tensile Stress Area of Threaded fastener Example

Tensile Stress Area of Threaded fastener Solution

Tensile Stress Area of Threaded fastener Formula Elements

Other formulas in Structural Response and Force Analysis category

How to Evaluate Tensile Stress Area of Threaded fastener?

FAQs on Tensile Stress Area of Threaded fastener

Variable Name