Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Diameter of Cylinderical Vessel = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell)
Di = (σl*4*t*ηc)/(Pi)
This formula uses 5 Variables
Variables Used
Inner Diameter of Cylinderical Vessel - (Measured in Meter) - Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Efficiency of Circumferential Joint - Efficiency of Circumferential Joint can be defined as the reliability that can be obtained from the joints after welding.
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.
STEP 1: Convert Input(s) to Base Unit
Longitudinal Stress: 0.09 Megapascal --> 90000 Pascal (Check conversion ​here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion ​here)
Efficiency of Circumferential Joint: 0.5 --> No Conversion Required
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Di = (σl*4*t*ηc)/(Pi) --> (90000*4*0.525*0.5)/(14000000)
Evaluating ... ...
Di = 0.00675
STEP 3: Convert Result to Output's Unit
0.00675 Meter -->6.75 Millimeter (Check conversion ​here)
FINAL ANSWER
6.75 Millimeter <-- Inner Diameter of Cylinderical Vessel
(Calculation completed in 00.007 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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 diameter of vessel given longitudinal stress and efficiency of circumferential joint Formula

​LaTeX ​Go
Inner Diameter of Cylinderical Vessel = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell)
Di = (σl*4*t*ηc)/(Pi)

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 longitudinal stress and efficiency of circumferential joint?

Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint calculator uses Inner Diameter of Cylinderical Vessel = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell) to calculate the Inner Diameter of Cylinderical Vessel, The Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle. Inner Diameter of Cylinderical Vessel is denoted by Di symbol.

How to calculate Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint using this online calculator? To use this online calculator for Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint, enter Longitudinal Stress l), Thickness Of Thin Shell (t), Efficiency of Circumferential Joint c) & Internal Pressure in thin shell (Pi) and hit the calculate button. Here is how the Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint calculation can be explained with given input values -> 15428.57 = (90000*4*0.525*0.5)/(14000000).

FAQ

What is Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint?
The Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle and is represented as Di = (σl*4*t*ηc)/(Pi) or Inner Diameter of Cylinderical Vessel = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell). Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure, Thickness Of Thin Shell is the distance through an object, Efficiency of Circumferential Joint can be defined as the reliability that can be obtained from the joints after welding & 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.
How to calculate Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint?
The Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of any circle is calculated using Inner Diameter of Cylinderical Vessel = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell). To calculate Internal diameter of vessel given longitudinal stress and efficiency of circumferential joint, you need Longitudinal Stress l), Thickness Of Thin Shell (t), Efficiency of Circumferential Joint c) & Internal Pressure in thin shell (Pi). With our tool, you need to enter the respective value for Longitudinal Stress, Thickness Of Thin Shell, Efficiency of Circumferential Joint & Internal Pressure in thin 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 Cylinderical Vessel?
In this formula, Inner Diameter of Cylinderical Vessel uses Longitudinal Stress, Thickness Of Thin Shell, Efficiency of Circumferential Joint & Internal Pressure in thin shell. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)
  • Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)
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