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Actual Cross-sectional Area of Bolts given Root Diameter of Thread Formula

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Actual Bolt Area is defined as cross-sectional area of the bolts using root diameter of thread or least diameter of an unthreaded portion (if less), to prevent damage to the gasket during bolting-up. Check FAQs

A b = \frac{2 \cdot π \cdot y sl \cdot G \cdot N}{σ gs}

A_b - Actual Bolt Area?y_sl - Gasket Unit Seating Load?G - Gasket Diameter?N - Gasket Width?σ_gs - Stress Required for Gasket Seating?π - Archimedes' constant?

Actual Cross-sectional Area of Bolts given Root Diameter of Thread Example

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Here is how the Actual Cross-sectional Area of Bolts given Root Diameter of Thread equation looks like with Values.

Here is how the Actual Cross-sectional Area of Bolts given Root Diameter of Thread equation looks like with Units.

Here is how the Actual Cross-sectional Area of Bolts given Root Diameter of Thread equation looks like.

126.6466 = \frac{2 \cdot 3.1416 \cdot 3.85 \cdot 32 \cdot 4.1}{25.06}

126.6466mm² = \frac{2 \cdot 3.1416 \cdot 3.85N/mm² \cdot 32mm \cdot 4.1mm}{25.06N/mm²}

126.6466 = \frac{2 \cdot 3.1416 \cdot 3.85 \cdot 32 \cdot 4.1}{25.06}

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Actual Cross-sectional Area of Bolts given Root Diameter of Thread Solution

Follow our step by step solution on how to calculate Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

FIRST Step Consider the formula

A b = \frac{2 \cdot π \cdot y sl \cdot G \cdot N}{σ gs}

Next Step Substitute values of Variables

∴

A b = \frac{2 \cdot π \cdot 3.85N/mm² \cdot 32mm \cdot 4.1mm}{25.06N/mm²}

Next Step Substitute values of Constants

∴

A b = \frac{2 \cdot 3.1416 \cdot 3.85N/mm² \cdot 32mm \cdot 4.1mm}{25.06N/mm²}

Next Step Convert Units

∴

A b = \frac{2 \cdot 3.1416 \cdot 3.9E+6Pa \cdot 0.032m \cdot 0.0041m}{2.5E+7Pa}

Next Step Prepare to Evaluate

∴

A b = \frac{2 \cdot 3.1416 \cdot 3.9E+6 \cdot 0.032 \cdot 0.0041}{2.5E+7}

Next Step Evaluate

∴

A b = 0.000126646550772648m²

Next Step Convert to Output's Unit

∴

A b = 126.646550772648mm²

LAST Step Rounding Answer

∴

A b = 126.6466mm²

Actual Cross-sectional Area of Bolts given Root Diameter of Thread Formula Elements

Variables

Constants

Actual Bolt Area

Actual Bolt Area is defined as cross-sectional area of the bolts using root diameter of thread or least diameter of an unthreaded portion (if less), to prevent damage to the gasket during bolting-up.

Symbol: A_b

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Actual Bolt Area

Gasket Unit Seating Load

Gasket Unit Seating Load is the seating load on per unit area o the sealing gasket.

Symbol: y_sl

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Gasket Unit Seating Load

Gasket Diameter

Gasket Diameter is a straight line passing from side to side through the centre of a gasket.

Symbol: G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Gasket Diameter

Gasket Width

Gasket Width is defined as the thickness of the gasket measured along the radial direction of the gasket.

Symbol: N

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Gasket Width

Stress Required for Gasket Seating

The Stress Required for Gasket Seating is defined as the value of the stress in the gasket required for the seating or the installment of the gasket.

Symbol: σ_gs

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress Required for Gasket Seating

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 Bolt Loads in Gasket Joints category

Go Bolt load under operating condition

W m1 = H + H p

Go Hydrostatic end force

H = W m1 - H p

Go Bolt Load under operating condition given Hydrostatic End Force

W m1 = ((\frac{π}{4}) \cdot {(G)}^{2} \cdot P) + (2 \cdot b g \cdot π \cdot G \cdot P \cdot m)

Go Hydrostatic End Force given Bolt Load under Operating condition

H = W m1 - (2 \cdot b g \cdot π \cdot G \cdot m \cdot P)

How to Evaluate Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

Actual Cross-sectional Area of Bolts given Root Diameter of Thread evaluator uses Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating) to evaluate the Actual Bolt Area, The Actual Cross-sectional Area of Bolts given Root Diameter of Thread formula is defined as cross-section area of the bolt. Actual Bolt Area is denoted by A_b symbol.

How to evaluate Actual Cross-sectional Area of Bolts given Root Diameter of Thread using this online evaluator? To use this online evaluator for Actual Cross-sectional Area of Bolts given Root Diameter of Thread, enter Gasket Unit Seating Load (y_sl), Gasket Diameter (G), Gasket Width (N) & Stress Required for Gasket Seating (σ_gs) and hit the calculate button.

FAQs on Actual Cross-sectional Area of Bolts given Root Diameter of Thread

What is the formula to find Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

The formula of Actual Cross-sectional Area of Bolts given Root Diameter of Thread is expressed as Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating). Here is an example- 1.3E+8 = (2*pi*3850000*0.032*0.0041)/(25060000).

How to calculate Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

With Gasket Unit Seating Load (y_sl), Gasket Diameter (G), Gasket Width (N) & Stress Required for Gasket Seating (σ_gs) we can find Actual Cross-sectional Area of Bolts given Root Diameter of Thread using the formula - Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating). This formula also uses Archimedes' constant .

Can the Actual Cross-sectional Area of Bolts given Root Diameter of Thread be negative?

No, the Actual Cross-sectional Area of Bolts given Root Diameter of Thread, measured in Area cannot be negative.

Which unit is used to measure Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

Actual Cross-sectional Area of Bolts given Root Diameter of Thread 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 Actual Cross-sectional Area of Bolts given Root Diameter of Thread can be measured.

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Actual Cross-sectional Area of Bolts given Root Diameter of Thread Formula

Actual Cross-sectional Area of Bolts given Root Diameter of Thread Example

Actual Cross-sectional Area of Bolts given Root Diameter of Thread Solution

Actual Cross-sectional Area of Bolts given Root Diameter of Thread Formula Elements

Other formulas in Bolt Loads in Gasket Joints category

How to Evaluate Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

FAQs on Actual Cross-sectional Area of Bolts given Root Diameter of Thread

Variable Name