Total cross-sectional area of bolt at root of thread Calculator

✖Bolt Load Under Operating Condition for Gasket is defined as the load acting on a bolt, it is limited to the amount of load the bolt can handle before failing.ⓘ Bolt Load Under Operating Condition for Gasket [W_m1]			+10% -10%
✖Stress Required for Operating Condition for Gasket is the absolute minimum stress needed to conform to the flanges, assuming that there is little or no internal pressure.ⓘ Stress Required for Operating Condition for Gasket [σ_sbd]			+10% -10%

✖Bolt Cross-sectional Area at Root of Thread is defined as the cross-sectional area of the bolt at the root of the thread or section of least diameter on the bolt.ⓘ Total cross-sectional area of bolt at root of thread [A_m1]

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Formula

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Total cross-sectional area of bolt at root of thread

Formula

`"A"_{"m1"} = "W"_{"m1"}/("σ"_{"sbd"})`

Example

`"297.8077mm²"="15486N"/("52N/mm²")`

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Total cross-sectional area of bolt at root of thread Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bolt Cross-sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket)
A_m1 = W_m1/(σ_sbd)
This formula uses 3 Variables

Variables Used

Bolt Cross-sectional Area at Root of Thread - (Measured in Square Meter) - Bolt Cross-sectional Area at Root of Thread is defined as the cross-sectional area of the bolt at the root of the thread or section of least diameter on the bolt.
Bolt Load Under Operating Condition for Gasket - (Measured in Newton) - Bolt Load Under Operating Condition for Gasket is defined as the load acting on a bolt, it is limited to the amount of load the bolt can handle before failing.
Stress Required for Operating Condition for Gasket - (Measured in Pascal) - Stress Required for Operating Condition for Gasket is the absolute minimum stress needed to conform to the flanges, assuming that there is little or no internal pressure.

STEP 1: Convert Input(s) to Base Unit

Bolt Load Under Operating Condition for Gasket: 15486 Newton --> 15486 Newton No Conversion Required
Stress Required for Operating Condition for Gasket: 52 Newton per Square Millimeter --> 52000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_m1 = W_m1/(σ_sbd) --> 15486/(52000000)

Evaluating ... ...

A_m1 = 0.000297807692307692

STEP 3: Convert Result to Output's Unit

0.000297807692307692 Square Meter -->297.807692307692 Square Millimeter (Check conversion here)

FINAL ANSWER

297.807692307692 ≈ 297.8077 Square Millimeter <-- Bolt Cross-sectional Area at Root of Thread

(Calculation completed in 00.004 seconds)

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national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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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

Total cross-sectional area of bolt at root of thread Formula

Bolt Cross-sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket)
A_m1 = W_m1/(σ_sbd)

What is bolt cross sectional area?

Bolt cross-sectional area is defined as the cross-sectional area of the bolt. The effective area governs the probability of some scattering or absorption event.

How to Calculate Total cross-sectional area of bolt at root of thread?

Total cross-sectional area of bolt at root of thread calculator uses Bolt Cross-sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket) to calculate the Bolt Cross-sectional Area at Root of Thread, The Total cross-sectional area of bolt at root of thread formula is defined as the ratio of bolt load under the operating condition to the stress required for gasket seating. Bolt Cross-sectional Area at Root of Thread is denoted by A_m1 symbol.

How to calculate Total cross-sectional area of bolt at root of thread using this online calculator? To use this online calculator for Total cross-sectional area of bolt at root of thread, enter Bolt Load Under Operating Condition for Gasket (W_m1) & Stress Required for Operating Condition for Gasket (σ_sbd) and hit the calculate button. Here is how the Total cross-sectional area of bolt at root of thread calculation can be explained with given input values -> 3E+8 = 15486/(52000000).

FAQ

What is Total cross-sectional area of bolt at root of thread?

The Total cross-sectional area of bolt at root of thread formula is defined as the ratio of bolt load under the operating condition to the stress required for gasket seating and is represented as A_m1 = W_m1/(σ_sbd) or 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 for Gasket is defined as the load acting on a bolt, it is limited to the amount of load the bolt can handle before failing & Stress Required for Operating Condition for Gasket is the absolute minimum stress needed to conform to the flanges, assuming that there is little or no internal pressure.

How to calculate Total cross-sectional area of bolt at root of thread?

The Total cross-sectional area of bolt at root of thread formula is defined as the ratio of bolt load under the operating condition to the stress required for gasket seating is calculated using Bolt Cross-sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket). To calculate Total cross-sectional area of bolt at root of thread, you need Bolt Load Under Operating Condition for Gasket (W_m1) & Stress Required for Operating Condition for Gasket (σ_sbd). With our tool, you need to enter the respective value for Bolt Load Under Operating Condition for Gasket & Stress Required for Operating Condition for Gasket 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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