Internal diameter of thin cylindrical vessel given longitudinal strain Calculator

✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity Of Thin Shell [E]			+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%
✖Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Inner Diameter of Cylinder is the diameter of the inside of the cylinder.ⓘ Internal diameter of thin cylindrical vessel given longitudinal strain [D_i]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Internal diameter of thin cylindrical vessel given longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_i = (ε_longitudinal*2*t*E)/((P_i)*((1/2)-𝛎))
This formula uses 6 Variables

Variables Used

Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Modulus of Elasticity Of Thin Shell - (Measured in Pascal) - Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
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.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Strain: 40 --> No Conversion Required
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Modulus of Elasticity Of Thin Shell: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_i = (ε_longitudinal*2*t*E)/((P_i)*((1/2)-𝛎)) --> (40*2*0.525*10000000)/((14000000)*((1/2)-0.3))

Evaluating ... ...

D_i = 150

STEP 3: Convert Result to Output's Unit

150 Meter -->150000 Millimeter (Check conversion here)

FINAL ANSWER

150000 Millimeter <-- Inner Diameter of Cylinder

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Stress and Strain » Internal diameter of thin cylindrical vessel given longitudinal strain

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Stress and Strain 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 given circumferential strain

LaTeX Go Internal Pressure in thin shell = (Circumferential Strain Thin Shell*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Inner Diameter of Cylinder))*((1/2)-Poisson's Ratio))

Longitudinal stress given circumferential strain

LaTeX Go Longitudinal Stress Thick Shell = (Hoop Stress in Thin shell-(Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell))/Poisson's Ratio

Hoop stress given circumferential strain

LaTeX Go Hoop Stress in Thin shell = (Circumferential Strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick 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 thin cylindrical vessel given longitudinal strain Formula

LaTeX Go

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 thin cylindrical vessel given longitudinal strain?

Internal diameter of thin cylindrical vessel given longitudinal strain calculator uses 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)) to calculate the Inner Diameter of Cylinder, The Internal diameter of thin cylindrical vessel given longitudinal strain formula is defined as a chord that runs through the center point of the base of a cylindrical vessel. Inner Diameter of Cylinder is denoted by D_i symbol.

How to calculate Internal diameter of thin cylindrical vessel given longitudinal strain using this online calculator? To use this online calculator for Internal diameter of thin cylindrical vessel given longitudinal strain, enter Longitudinal Strain (ε_longitudinal), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Internal diameter of thin cylindrical vessel given longitudinal strain calculation can be explained with given input values -> 1.5E+8 = (40*2*0.525*10000000)/((14000000)*((1/2)-0.3)).

FAQ

What is Internal diameter of thin cylindrical vessel given longitudinal strain?

The Internal diameter of thin cylindrical vessel given longitudinal strain formula is defined as a chord that runs through the center point of the base of a cylindrical vessel and is represented as D_i = (ε_longitudinal*2*t*E)/((P_i)*((1/2)-𝛎)) or 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)). The Longitudinal Strain is ratio of change in length to original length, Thickness Of Thin Shell is the distance through an object, Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, 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 & Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

How to calculate Internal diameter of thin cylindrical vessel given longitudinal strain?

The Internal diameter of thin cylindrical vessel given longitudinal strain formula is defined as a chord that runs through the center point of the base of a cylindrical vessel is calculated using 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)). To calculate Internal diameter of thin cylindrical vessel given longitudinal strain, you need Longitudinal Strain (ε_longitudinal), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Longitudinal Strain, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell & Poisson's Ratio 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 Longitudinal Strain, Thickness Of Thin Shell, Modulus of Elasticity Of Thin Shell, Internal Pressure in thin shell & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = (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 = Force on cylindrical shell/(Internal Pressure*Length Of Cylindrical Shell)

Home

FREE PDFs

🔍 Search