Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
Internal Pressure in thin shell = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Inner Diameter of Cylinderical Vessel)
Pi = (σθ*2*t*ηl)/(Di)
This formula uses 5 Variables
Variables Used
Internal Pressure in thin shell - (Measured in Pascal) - Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Hoop Stress in Thin shell - (Measured in Pascal) - Hoop Stress in Thin shell is the circumferential stress in a cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Efficiency of Longitudinal Joint - Efficiency of Longitudinal Joint can be defined as the reliability that can be obtained from the joints after welding.
Inner Diameter of Cylinderical Vessel - (Measured in Meter) - Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.
STEP 1: Convert Input(s) to Base Unit
Hoop Stress in Thin shell: 25.03 Megapascal --> 25030000 Pascal (Check conversion ​here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion ​here)
Efficiency of Longitudinal Joint: 0.3 --> No Conversion Required
Inner Diameter of Cylinderical Vessel: 50 Millimeter --> 0.05 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = (σθ*2*t*ηl)/(Di) --> (25030000*2*0.525*0.3)/(0.05)
Evaluating ... ...
Pi = 157689000
STEP 3: Convert Result to Output's Unit
157689000 Pascal -->157.689 Megapascal (Check conversion ​here)
FINAL ANSWER
157.689 Megapascal <-- Internal Pressure in thin shell
(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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Efficiency of Longitudinal and Circumferential Joint Calculators

Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint
​ LaTeX ​ Go Internal Pressure in thin shell = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Inner Diameter of Cylinderical Vessel)
Internal diameter of vessel given hoop stress and efficiency of longitudinal joint
​ LaTeX ​ Go Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)
Thickness of vessel given hoop stress and efficiency of longitudinal joint
​ LaTeX ​ Go Thickness Of Thin Shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Hoop Stress in Thin shell*Efficiency of Longitudinal Joint)
Hoop stress given efficiency of longitudinal joint
​ LaTeX ​ Go Hoop Stress in Thin shell = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)

Stress Calculators

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint
​ LaTeX ​ Go Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)
Longitudinal stress in thin cylindrical vessel given Longitudinal strain
​ LaTeX ​ Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)
Efficiency of circumferential joint given longitudinal stress
​ LaTeX ​ Go Efficiency of Circumferential Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(4*Thickness Of Thin Shell)
Efficiency of longitudinal joint given hoop stress
​ LaTeX ​ Go Efficiency of Longitudinal Joint = (Internal Pressure in thin shell*Inner Diameter of Cylinderical Vessel)/(2*Thickness Of Thin Shell)

Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint Formula

​LaTeX ​Go
Internal Pressure in thin shell = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Inner Diameter of Cylinderical Vessel)
Pi = (σθ*2*t*ηl)/(Di)

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint?

Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint calculator uses Internal Pressure in thin shell = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Inner Diameter of Cylinderical Vessel) to calculate the Internal Pressure in thin shell, Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature. Internal Pressure in thin shell is denoted by Pi symbol.

How to calculate Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint using this online calculator? To use this online calculator for Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint, enter Hoop Stress in Thin shell θ), Thickness Of Thin Shell (t), Efficiency of Longitudinal Joint l) & Inner Diameter of Cylinderical Vessel (Di) and hit the calculate button. Here is how the Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint calculation can be explained with given input values -> 0.000183 = (25030000*2*0.525*0.3)/(0.05).

FAQ

What is Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint?
Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature and is represented as Pi = (σθ*2*t*ηl)/(Di) or Internal Pressure in thin shell = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Inner Diameter of Cylinderical Vessel). Hoop Stress in Thin shell is the circumferential stress in a cylinder, Thickness Of Thin Shell is the distance through an object, Efficiency of Longitudinal Joint can be defined as the reliability that can be obtained from the joints after welding & Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.
How to calculate Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint?
Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature is calculated using Internal Pressure in thin shell = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Inner Diameter of Cylinderical Vessel). To calculate Internal fluid pressure in vessel given hoop stress and efficiency of longitudinal joint, you need Hoop Stress in Thin shell θ), Thickness Of Thin Shell (t), Efficiency of Longitudinal Joint l) & Inner Diameter of Cylinderical Vessel (Di). With our tool, you need to enter the respective value for Hoop Stress in Thin shell, Thickness Of Thin Shell, Efficiency of Longitudinal Joint & Inner Diameter of Cylinderical Vessel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Internal Pressure in thin shell?
In this formula, Internal Pressure in thin shell uses Hoop Stress in Thin shell, Thickness Of Thin Shell, Efficiency of Longitudinal Joint & Inner Diameter of Cylinderical Vessel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Internal Pressure in thin shell = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Inner Diameter of Cylinderical Vessel)
  • Internal Pressure in thin shell = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Inner Diameter of Cylinderical Vessel)
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