Modulus of elasticity of vessel material given internal pressure Calculator

✖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 Cylinder is the diameter of the inside of the cylinder.ⓘ Inner Diameter of Cylinder [D_i]			+10% -10%
✖Thickness Of Thin Shell is the distance through an object.ⓘ Thickness Of Thin Shell [t]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+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%

✖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 vessel material given internal pressure [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Modulus of elasticity of vessel material given internal pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Longitudinal Strain))*((1/2)-Poisson's Ratio)
E = ((P_i*D_i)/(2*t*ε_longitudinal))*((1/2)-𝛎)
This formula uses 6 Variables

Variables Used

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.
Inner Diameter of Cylinder - (Measured in Meter) - Inner Diameter of Cylinder is the diameter of the inside of the cylinder.
Thickness Of Thin Shell - (Measured in Meter) - Thickness Of Thin Shell is the distance through an object.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
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

Internal Pressure in thin shell: 14 Megapascal --> 14000000 Pascal (Check conversion here)
Inner Diameter of Cylinder: 50 Millimeter --> 0.05 Meter (Check conversion here)
Thickness Of Thin Shell: 525 Millimeter --> 0.525 Meter (Check conversion here)
Longitudinal Strain: 40 --> No Conversion Required
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = ((P_i*D_i)/(2*t*ε_longitudinal))*((1/2)-𝛎) --> ((14000000*0.05)/(2*0.525*40))*((1/2)-0.3)

Evaluating ... ...

E = 3333.33333333333

STEP 3: Convert Result to Output's Unit

3333.33333333333 Pascal -->0.00333333333333333 Megapascal (Check conversion here)

FINAL ANSWER

0.00333333333333333 ≈ 0.003333 Megapascal <-- Modulus of Elasticity Of Thin Shell

(Calculation completed in 00.019 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Modulus of Elasticity » Modulus of elasticity of vessel material given internal pressure

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!

< Modulus of Elasticity Calculators

Modulus of elasticity of shell material given change in length of cylindrical shell

LaTeX Go Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Change in Length))*((1/2)-Poisson's Ratio)

Modulus of elasticity of thin cylindrical vessel material given change in diameter

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

Modulus of elasticity of thin cylindrical shell given volumetric strain

LaTeX Go Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio)

Modulus of elasticity given circumferential strain

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

< Modulus of Elasticity Calculators

Modulus of elasticity given change in diameter of thin spherical shells

LaTeX Go Modulus of Elasticity Of Thin Shell = ((Internal Pressure*(Diameter of Sphere^2))/(4*Thickness Of Thin Spherical Shell*Change in Diameter))*(1-Poisson's Ratio)

Modulus of elasticity for thin spherical shell given strain and internal fluid pressure

LaTeX Go Modulus of Elasticity Of Thin Shell = ((Internal Pressure*Diameter of Sphere)/(4*Thickness Of Thin Spherical Shell*Strain in thin shell))*(1-Poisson's Ratio)

Modulus of elasticity given circumferential strain

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

Modulus of elasticity of thin spherical shell given strain in any one direction

LaTeX Go Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell/Strain in thin shell)*(1-Poisson's Ratio)

Modulus of elasticity of vessel material given internal pressure 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 Modulus of elasticity of vessel material given internal pressure?

Modulus of elasticity of vessel material given internal pressure calculator uses Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Longitudinal Strain))*((1/2)-Poisson's Ratio) to calculate the Modulus of Elasticity Of Thin Shell, The Modulus of elasticity of vessel material given internal pressure formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch. Modulus of Elasticity Of Thin Shell is denoted by E symbol.

How to calculate Modulus of elasticity of vessel material given internal pressure using this online calculator? To use this online calculator for Modulus of elasticity of vessel material given internal pressure, enter Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Longitudinal Strain (ε_longitudinal) & Poisson's Ratio (𝛎) and hit the calculate button. Here is how the Modulus of elasticity of vessel material given internal pressure calculation can be explained with given input values -> 3.3E-9 = ((14000000*0.05)/(2*0.525*40))*((1/2)-0.3).

FAQ

What is Modulus of elasticity of vessel material given internal pressure?

The Modulus of elasticity of vessel material given internal pressure formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch and is represented as E = ((P_i*D_i)/(2*t*ε_longitudinal))*((1/2)-𝛎) or Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Longitudinal Strain))*((1/2)-Poisson's Ratio). 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, Inner Diameter of Cylinder is the diameter of the inside of the cylinder, Thickness Of Thin Shell is the distance through an object, The Longitudinal Strain is ratio of change in length to original length & 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 Modulus of elasticity of vessel material given internal pressure?

The Modulus of elasticity of vessel material given internal pressure formula is defined as the measure of the stiffness of a material. in other words, it is a measure of how easily any material can be bend or stretch is calculated using Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Longitudinal Strain))*((1/2)-Poisson's Ratio). To calculate Modulus of elasticity of vessel material given internal pressure, you need Internal Pressure in thin shell (P_i), Inner Diameter of Cylinder (D_i), Thickness Of Thin Shell (t), Longitudinal Strain (ε_longitudinal) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Internal Pressure in thin shell, Inner Diameter of Cylinder, Thickness Of Thin Shell, Longitudinal Strain & 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 Modulus of Elasticity Of Thin Shell?

In this formula, Modulus of Elasticity Of Thin Shell uses Internal Pressure in thin shell, Inner Diameter of Cylinder, Thickness Of Thin Shell, Longitudinal Strain & Poisson's Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity Of Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Circumferential Strain Thin Shell
Modulus of Elasticity Of Thin Shell = (Internal Pressure in thin shell*Diameter of Shell/(2*Volumetric Strain*Thickness Of Thin Shell))*((5/2)-Poisson's Ratio)
Modulus of Elasticity Of Thin Shell = ((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Change in Length))*((1/2)-Poisson's Ratio)

Home

FREE PDFs

🔍 Search