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

✖Gasket Unit Seating Load is the seating load on per unit area o the sealing gasket.ⓘ Gasket Unit Seating Load [y_sl]			+10% -10%
✖Gasket Diameter is a straight line passing from side to side through the centre of a gasket.ⓘ Gasket Diameter [G]			+10% -10%
✖Gasket Width is defined as the thickness of the gasket measured along the radial direction of the gasket.ⓘ Gasket Width [N]			+10% -10%
✖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.ⓘ Stress Required for Gasket Seating [σ_sbat]			+10% -10%

✖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.ⓘ Actual Cross-sectional Area of Bolts given Root Diameter of Thread [A_b]

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Formula

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

Formula

`"A"_{"b"} = (2*pi*"y"_{"sl"}*"G"*"N")/("σ"_{"sbat"})`

Example

`"126.6466mm²"=(2*pi*"3.85N/mm²"*"32mm"*"4.1mm")/("25.06N/mm²")`

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Download Bolt Loads in Gasket Joints Formulas PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating)
A_b = (2*pi*y_sl*G*N)/(σ_sbat)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Actual Bolt Area - (Measured in Square Meter) - 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.
Gasket Unit Seating Load - (Measured in Pascal) - Gasket Unit Seating Load is the seating load on per unit area o the sealing gasket.
Gasket Diameter - (Measured in Meter) - Gasket Diameter is a straight line passing from side to side through the centre of a gasket.
Gasket Width - (Measured in Meter) - Gasket Width is defined as the thickness of the gasket measured along the radial direction of the gasket.
Stress Required for Gasket Seating - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Gasket Unit Seating Load: 3.85 Newton per Square Millimeter --> 3850000 Pascal (Check conversion here)
Gasket Diameter: 32 Millimeter --> 0.032 Meter (Check conversion here)
Gasket Width: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Stress Required for Gasket Seating: 25.06 Newton per Square Millimeter --> 25060000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_b = (2*pi*y_sl*G*N)/(σ_sbat) --> (2*pi*3850000*0.032*0.0041)/(25060000)

Evaluating ... ...

A_b = 0.000126646550772648

STEP 3: Convert Result to Output's Unit

0.000126646550772648 Square Meter -->126.646550772648 Square Millimeter (Check conversion here)

FINAL ANSWER

126.646550772648 ≈ 126.6466 Square Millimeter <-- Actual Bolt Area

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Packing » Bolt Loads in Gasket Joints » Actual Cross-sectional Area of Bolts given Root Diameter of Thread

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< 16 Bolt Loads in Gasket Joints Calculators

Bolt Load under operating condition given Hydrostatic End Force

Go Bolt Load Under Operating Condition for Gasket = ((pi/4)*(Gasket Diameter)^2*Pressure at Outer Diameter of Gasket)+(2*Width of u-collar*pi*Gasket Diameter*Pressure at Outer Diameter of Gasket*Gasket Factor)

Hydrostatic End Force given Bolt Load under Operating condition

Go Hydrostatic End Force in Gasket Seal = Bolt Load Under Operating Condition for Gasket-(2*Width of u-collar*pi*Gasket Diameter*Gasket Factor*Pressure at Outer Diameter of Gasket)

Hydrostatic Contact Force given Bolt Load under Operating condition

Go Total Joint Surface Compression Load = Bolt Load Under Operating Condition for Gasket-((pi/4)*(Gasket Diameter)^2*Pressure at Outer Diameter of Gasket)

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

Go Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating)

Gasket Width given actual Cross-sectional Area of Bolts

Go Gasket Width = (Stress Required for Gasket Seating*Actual Bolt Area)/(2*pi*Gasket Unit Seating Load*Gasket Diameter)

Stress Required for Gasket Seating

Go Stress Required for Gasket Seating = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Actual Bolt Area)

Stress Required for Gasket Seating given Bolt Load

Go Stress Required for Gasket Seating = Bolt Load Under Operating Condition for Gasket/((Greater Cross-section Area of Bolts+Actual Bolt Area)/2)

Bolt Load in Design of Flange for Gasket Seating

Go Bolt Load Under Operating Condition for Gasket = ((Greater Cross-section Area of Bolts+Actual Bolt Area)/2)*Stress Required for Gasket Seating

Width of U Collar given Initial Bolt Load to Seat Gasket Joint

Go Width of u-collar = Initial bolt load to seat the gasket joint/(pi*Gasket Diameter*Gasket Unit Seating Load)

Deflection of Spring Initial Bolt Load to Seal Gasket Joint

Go Gasket Unit Seating Load = Initial bolt load to seat the gasket joint/(pi*Width of u-collar*Gasket Diameter)

Initial Bolt Load to seat Gasket Joint

Go Initial bolt load to seat the gasket joint = pi*Width of u-collar*Gasket Diameter*Gasket Unit Seating Load

Test pressure given Bolt Load

Go Test Pressure in Bolted Gasket Joint = Bolt Load in Gasket Joint/(Factor of Safety for Bolt Packing*Greater Cross-section Area of Bolts)

Load on bolts based on hydrostatic end force

Go Bolt Load in Gasket Joint = Factor of Safety for Bolt Packing*Test Pressure in Bolted Gasket Joint*Greater Cross-section Area of Bolts

Total cross-sectional area of bolt at root of thread

Go Bolt Cross-sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket)

Bolt load under operating condition

Go Bolt Load Under Operating Condition for Gasket = Hydrostatic End Force in Gasket Seal+Total Joint Surface Compression Load

Hydrostatic end force

Go Hydrostatic End Force in Gasket Seal = Bolt Load Under Operating Condition for Gasket-Total Joint Surface Compression Load

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

Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating)
A_b = (2*pi*y_sl*G*N)/(σ_sbat)

What is cross section srea of bolt?

Cross-section area of the bolt is defined as the area of the sliced portion of bolt. When a bolt is sliced perpendicular to its longest axis, the cross-sectional area will be calculated for the top part of the sliced bolt.

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

Actual Cross-sectional Area of Bolts given Root Diameter of Thread calculator uses Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating) to calculate 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 calculate Actual Cross-sectional Area of Bolts given Root Diameter of Thread using this online calculator? To use this online calculator 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_sbat) and hit the calculate button. Here is how the Actual Cross-sectional Area of Bolts given Root Diameter of Thread calculation can be explained with given input values -> 1.3E+8 = (2*pi*3850000*0.032*0.0041)/(25060000).

FAQ

What is Actual Cross-sectional Area of Bolts given Root Diameter of Thread?

The Actual Cross-sectional Area of Bolts given Root Diameter of Thread formula is defined as cross-section area of the bolt and is represented as A_b = (2*pi*y_sl*G*N)/(σ_sbat) or Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating). Gasket Unit Seating Load is the seating load on per unit area o the sealing gasket, Gasket Diameter is a straight line passing from side to side through the centre of a gasket, Gasket Width is defined as the thickness of the gasket measured along the radial direction of the gasket & 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.

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

The Actual Cross-sectional Area of Bolts given Root Diameter of Thread formula is defined as cross-section area of the bolt is calculated using Actual Bolt Area = (2*pi*Gasket Unit Seating Load*Gasket Diameter*Gasket Width)/(Stress Required for Gasket Seating). To calculate Actual Cross-sectional Area of Bolts given Root Diameter of Thread, you need Gasket Unit Seating Load (y_sl), Gasket Diameter (G), Gasket Width (N) & Stress Required for Gasket Seating (σ_sbat). With our tool, you need to enter the respective value for Gasket Unit Seating Load, Gasket Diameter, Gasket Width & Stress Required for Gasket Seating 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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