Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)
Di = F/(Pi*Lcylinder)
This formula uses 4 Variables
Variables Used
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Force on cylindrical shell - (Measured in Newton) - Force on cylindrical shell is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
STEP 1: Convert Input(s) to Base Unit
Force on cylindrical shell: 2.5 Newton --> 2.5 Newton No Conversion Required
Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion ​here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Di = F/(Pi*Lcylinder) --> 2.5/(53000*3)
Evaluating ... ...
Di = 1.57232704402516E-05
STEP 3: Convert Result to Output's Unit
1.57232704402516E-05 Meter -->0.0157232704402516 Millimeter (Check conversion ​here)
FINAL ANSWER
0.0157232704402516 0.015723 Millimeter <-- Inner Diameter of Cylinder
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Hoop Stress Calculators

Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)
Internal pressure of fluid given Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Internal Pressure = Force on cylindrical shell/(Inner Diameter of Cylinder*Length Of Cylindrical Shell)
Length of vessel given Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Length Of Cylindrical Shell = Force on cylindrical shell/(Internal Pressure*Inner Diameter of Cylinder)
Force due to fluid pressure in thin cylindrical vessel
​ LaTeX ​ Go Force on cylindrical shell = (Internal Pressure*Inner Diameter of Cylinder*Length Of Cylindrical Shell)

Vessel Calculators

Internal diameter of thin cylindrical vessel given circumferential strain
​ LaTeX ​ Go Inner Diameter of Cylinder = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*((1/2)-Poisson's Ratio))
Internal fluid pressure in thin cylindrical vessel given change in diameter
​ LaTeX ​ Go Internal Pressure in thin shell = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/((((Inner Diameter of Cylinder^2)))*(1-(Poisson's Ratio/2)))
Internal fluid pressure in thin cylindrical vessel given longitudinal strain
​ LaTeX ​ Go Internal Pressure in thin shell = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Inner Diameter of Cylinder)*((1/2)-Poisson's Ratio))
Internal diameter of thin cylindrical vessel given longitudinal strain
​ LaTeX ​ Go Inner Diameter of Cylinder = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Internal Pressure in thin shell)*((1/2)-Poisson's Ratio))

Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel Formula

​LaTeX ​Go
Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)
Di = F/(Pi*Lcylinder)

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 diameter of vessel given Force due to fluid pressure in thin cylindrical vessel?

Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel calculator uses Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell) to calculate the Inner Diameter of Cylinder, Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel is a chord that runs through the center point of the circle. Inner Diameter of Cylinder is denoted by Di symbol.

How to calculate Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel using this online calculator? To use this online calculator for Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel, enter Force on cylindrical shell (F), Internal Pressure (Pi) & Length Of Cylindrical Shell (Lcylinder) and hit the calculate button. Here is how the Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel calculation can be explained with given input values -> 15.72327 = 2.5/(53000*3).

FAQ

What is Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel?
Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel is a chord that runs through the center point of the circle and is represented as Di = F/(Pi*Lcylinder) or Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell). Force on cylindrical shell is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature & Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
How to calculate Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel?
Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel is a chord that runs through the center point of the circle is calculated using Inner Diameter of Cylinder = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell). To calculate Internal diameter of vessel given Force due to fluid pressure in thin cylindrical vessel, you need Force on cylindrical shell (F), Internal Pressure (Pi) & Length Of Cylindrical Shell (Lcylinder). With our tool, you need to enter the respective value for Force on cylindrical shell, Internal Pressure & Length Of Cylindrical Shell 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 Inner Diameter of Cylinder?
In this formula, Inner Diameter of Cylinder uses Force on cylindrical shell, Internal Pressure & Length Of Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Inner Diameter of Cylinder = (Hoop Stress*(2*Thickness Of Thin Shell))/(Internal Pressure)
  • Inner Diameter of Cylinder = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*((1/2)-Poisson's Ratio))
  • Inner Diameter of Cylinder = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Internal Pressure in thin shell)*((1/2)-Poisson's Ratio))
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