Internal diameter of vessel given hoop stress and efficiency of longitudinal joint Calculator

✖Hoop Stress in Thin shell is the circumferential stress in a cylinder.ⓘ Hoop Stress in Thin shell [σ_θ]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖Efficiency of Longitudinal Joint can be defined as the reliability that can be obtained from the joints after welding.ⓘ Efficiency of Longitudinal Joint [η_l]			+10% -10%
✖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.ⓘ Internal Pressure in thin shell [P_i]			+10% -10%

✖Inner Diameter of Cylinderical Vessel is the diameter of the inside of the cylinder.ⓘ Internal diameter of vessel given hoop stress and efficiency of longitudinal joint [D_i]

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

STEP 0: Pre-Calculation Summary

Formula Used

Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell)
D_i = (σ_θ*2*t*η_l)/(P_i)
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.
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.
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

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
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_i = (σ_θ*2*t*η_l)/(P_i) --> (25030000*2*0.525*0.3)/(14000000)

Evaluating ... ...

D_i = 0.563175

STEP 3: Convert Result to Output's Unit

0.563175 Meter -->563.175 Millimeter (Check conversion here)

FINAL ANSWER

563.175 Millimeter <-- Inner Diameter of Cylinderical Vessel

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Mechanical » Efficiency of Longitudinal and Circumferential Joint » Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

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Created by Anshika Arya

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 diameter of vessel given hoop stress and efficiency of longitudinal joint Formula

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)
D_i = (σ_θ*2*t*η_l)/(P_i)

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 hoop stress and efficiency of longitudinal joint?

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint calculator uses Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell) to calculate the Inner Diameter of Cylinderical Vessel, Internal diameter of vessel given hoop stress and efficiency of longitudinal joint is 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 D_i symbol.

How to calculate Internal diameter of vessel given hoop stress and efficiency of longitudinal joint using this online calculator? To use this online calculator for Internal diameter of vessel given hoop stress and efficiency of longitudinal joint, enter Hoop Stress in Thin shell (σ_θ), Thickness Of Thin Shell (t), Efficiency of Longitudinal Joint (η_l) & Internal Pressure in thin shell (P_i) and hit the calculate button. Here is how the Internal diameter of vessel given hoop stress and efficiency of longitudinal joint calculation can be explained with given input values -> 652500 = (25030000*2*0.525*0.3)/(14000000).

FAQ

What is Internal diameter of vessel given hoop stress and efficiency of longitudinal joint?

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint is a chord that runs through the center point of the circle. It is the longest possible chord of any circle and is represented as D_i = (σ_θ*2*t*η_l)/(P_i) or Inner Diameter of Cylinderical Vessel = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell). 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 & 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 hoop stress and efficiency of longitudinal joint?

Internal diameter of vessel given hoop stress and efficiency of longitudinal joint is 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 = (Hoop Stress in Thin shell*2*Thickness Of Thin Shell*Efficiency of Longitudinal Joint)/(Internal Pressure in thin shell). To calculate Internal diameter of vessel given hoop stress and efficiency of longitudinal joint, you need Hoop Stress in Thin shell (σ_θ), Thickness Of Thin Shell (t), Efficiency of Longitudinal Joint (η_l) & Internal Pressure in thin shell (P_i). With our tool, you need to enter the respective value for Hoop Stress in Thin shell, Thickness Of Thin Shell, Efficiency of Longitudinal 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 Hoop Stress in Thin shell, Thickness Of Thin Shell, Efficiency of Longitudinal 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 = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell)
Inner Diameter of Cylinderical Vessel = (Longitudinal Stress*4*Thickness Of Thin Shell*Efficiency of Circumferential Joint)/(Internal Pressure in thin shell)

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