Circumferential strain given volume of thin cylindrical shell Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Thin Cylindrical Shell [V_T]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+10% -10%

✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential strain given volume of thin cylindrical shell [e₁]

⎘ Copy

👎

Formula

✖

Circumferential strain given volume of thin cylindrical shell

Formula

`"e"_{"1"} = (("∆V"/"V"_{"T"})-"ε"_{"longitudinal"})/2`

Example

`"7.5"=(("3465m³"/"63m³")-"40")/2`

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Circumferential strain given volume of thin cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2
e₁ = ((∆V/V_T)-ε_longitudinal)/2
This formula uses 4 Variables

Variables Used

Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Volume of Thin Cylindrical Shell - (Measured in Cubic Meter) - Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 3465 Cubic Meter --> 3465 Cubic Meter No Conversion Required
Volume of Thin Cylindrical Shell: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Longitudinal Strain: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e₁ = ((∆V/V_T)-ε_longitudinal)/2 --> ((3465/63)-40)/2

Evaluating ... ...

e₁ = 7.5

STEP 3: Convert Result to Output's Unit

7.5 --> No Conversion Required

FINAL ANSWER

7.5 <-- Circumferential strain Thin Shell

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Strain » Circumferential strain given volume of thin cylindrical shell

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!

< 15 Strain Calculators

Circumferential strain given internal fluid pressure

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

Longitudinal strain in thin cylindrical vessel given internal fluid pressure

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

Volumetric strain given internal fluid pressure

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

Circumferential strain given hoop stress

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

Longitudinal strain given hoop and longitudinal stress

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

Volumetric strain of thin cylindrical shell given changes in diameter and length

Go Volumetric Strain = (2*Change in Diameter/Diameter of Shell)+(Change in Length/Length Of Cylindrical Shell)

Circumferential strain given volume of thin cylindrical shell

Go Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2

Longitudinal strain given volume of thin cylindrical shell

Go Longitudinal Strain = (Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential strain Thin Shell)

Circumferential strain given circumference

Go Circumferential strain Thin Shell = Change in circumference/Original Circumference

Longitudinal strain given volumetric strain for thin cylindrical shell

Go Longitudinal Strain = (Volumetric Strain-(2*Circumferential strain Thin Shell))

Circumferential strain given volumetric strain for thin cylindrical shell

Go Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2

Volumetric strain given circumferential strain and longitudinal strain

Go Volumetric Strain = 2*Circumferential strain Thin Shell+(Longitudinal Strain)

Circumferential strain of vessel given diameter

Go Circumferential strain Thin Shell = Change in Diameter/Original Diameter

Longitudinal strain for vessel given change in length formula

Go Longitudinal Strain = Change in Length/Initial Length

Volumetric strain of thin cylindrical shell

Go Volumetric Strain = Change in Volume/Original Volume

Circumferential strain given volume of thin cylindrical shell Formula

Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2
e₁ = ((∆V/V_T)-ε_longitudinal)/2

What is tensile strength with example?

Tensile strength is a measurement of the force required to pull something such as rope, wire, or a structural beam to the point where it breaks. The tensile strength of a material is the maximum amount of tensile stress that it can take before failure, for example, breaking.

How to Calculate Circumferential strain given volume of thin cylindrical shell?

Circumferential strain given volume of thin cylindrical shell calculator uses Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2 to calculate the Circumferential strain Thin Shell, Circumferential strain given volume of thin cylindrical shell is the change in circumference/diameter of the cylinder to the original one. Circumferential strain Thin Shell is denoted by e₁ symbol.

How to calculate Circumferential strain given volume of thin cylindrical shell using this online calculator? To use this online calculator for Circumferential strain given volume of thin cylindrical shell, enter Change in Volume (∆V), Volume of Thin Cylindrical Shell (V_T) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Circumferential strain given volume of thin cylindrical shell calculation can be explained with given input values -> -19.555556 = ((3465/63)-40)/2.

FAQ

What is Circumferential strain given volume of thin cylindrical shell?

Circumferential strain given volume of thin cylindrical shell is the change in circumference/diameter of the cylinder to the original one and is represented as e₁ = ((∆V/V_T)-ε_longitudinal)/2 or Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2. The Change in volume is difference of initial and final volume, Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Circumferential strain given volume of thin cylindrical shell?

Circumferential strain given volume of thin cylindrical shell is the change in circumference/diameter of the cylinder to the original one is calculated using Circumferential strain Thin Shell = ((Change in Volume/Volume of Thin Cylindrical Shell)-Longitudinal Strain)/2. To calculate Circumferential strain given volume of thin cylindrical shell, you need Change in Volume (∆V), Volume of Thin Cylindrical Shell (V_T) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Change in Volume, Volume of Thin Cylindrical Shell & Longitudinal Strain 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 Circumferential strain Thin Shell?

In this formula, Circumferential strain Thin Shell uses Change in Volume, Volume of Thin Cylindrical Shell & Longitudinal Strain. We can use 5 other way(s) to calculate the same, which is/are as follows -

Circumferential strain Thin Shell = Change in circumference/Original Circumference
Circumferential strain Thin Shell = (Hoop Stress in Thin shell-(Poisson's Ratio*Longitudinal Stress Thick Shell))/Modulus of Elasticity Of Thin Shell
Circumferential strain Thin Shell = ((Internal Pressure in thin shell*Inner Diameter of Cylinder)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Circumferential strain Thin Shell = (Volumetric Strain-Longitudinal Strain)/2
Circumferential strain Thin Shell = Change in Diameter/Original Diameter

Home

FREE PDFs

🔍 Search