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

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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. Check FAQs
Am1=Wm1σoc
Am1 - Bolt Cross-Sectional Area at Root of Thread?Wm1 - Bolt Load Under Operating Condition for Gasket?σoc - Stress Required for Operating Condition for Gasket?

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

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With units
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Here is how the Total cross-sectional area of bolt at root of thread equation looks like with Values.

Here is how the Total cross-sectional area of bolt at root of thread equation looks like with Units.

Here is how the Total cross-sectional area of bolt at root of thread equation looks like.

297.8077Edit=15486Edit52Edit
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Total cross-sectional area of bolt at root of thread Solution

Follow our step by step solution on how to calculate Total cross-sectional area of bolt at root of thread?

FIRST Step Consider the formula
Am1=Wm1σoc
Next Step Substitute values of Variables
Am1=15486N52N/mm²
Next Step Convert Units
Am1=15486N5.2E+7Pa
Next Step Prepare to Evaluate
Am1=154865.2E+7
Next Step Evaluate
Am1=0.000297807692307692
Next Step Convert to Output's Unit
Am1=297.807692307692mm²
LAST Step Rounding Answer
Am1=297.8077mm²

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

Variables
Bolt Cross-Sectional Area at Root of Thread
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.
Symbol: Am1
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
Bolt Load Under 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.
Symbol: Wm1
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Stress Required for Operating Condition for Gasket
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.
Symbol: σoc
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.

Other formulas in Bolt Loads in Gasket Joints category

​Go Bolt load under operating condition
Wm1=H+Hp
​Go Hydrostatic end force
H=Wm1-Hp
​Go Bolt Load under operating condition given Hydrostatic End Force
Wm1=((π4)(G)2P)+(2bgπGPm)
​Go Hydrostatic End Force given Bolt Load under Operating condition
H=Wm1-(2bgπGmP)

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

Total cross-sectional area of bolt at root of thread evaluator uses Bolt Cross-Sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket) to evaluate 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 Am1 symbol.

How to evaluate Total cross-sectional area of bolt at root of thread using this online evaluator? To use this online evaluator for Total cross-sectional area of bolt at root of thread, enter Bolt Load Under Operating Condition for Gasket (Wm1) & Stress Required for Operating Condition for Gasket oc) and hit the calculate button.

FAQs on Total cross-sectional area of bolt at root of thread

What is the formula to find Total cross-sectional area of bolt at root of thread?
The formula of Total cross-sectional area of bolt at root of thread is expressed as Bolt Cross-Sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket). Here is an example- 3E+8 = 15486/(52000000).
How to calculate Total cross-sectional area of bolt at root of thread?
With Bolt Load Under Operating Condition for Gasket (Wm1) & Stress Required for Operating Condition for Gasket oc) we can find Total cross-sectional area of bolt at root of thread using the formula - Bolt Cross-Sectional Area at Root of Thread = Bolt Load Under Operating Condition for Gasket/(Stress Required for Operating Condition for Gasket).
Can the Total cross-sectional area of bolt at root of thread be negative?
No, the Total cross-sectional area of bolt at root of thread, measured in Area cannot be negative.
Which unit is used to measure Total cross-sectional area of bolt at root of thread?
Total cross-sectional area of bolt at root 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 Total cross-sectional area of bolt at root of thread can be measured.
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