Volume of thin cylindrical shell given circumferential and longitudinal strain Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖Circumferential strain Thin Shell represents the change in length.ⓘ Circumferential Strain Thin Shell [e₁]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε_longitudinal]			+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 given circumferential and longitudinal strain [V_T]

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Volume of thin cylindrical shell given circumferential and longitudinal strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Circumferential Strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
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: 56 Cubic Meter --> 56 Cubic Meter No Conversion Required
Circumferential Strain Thin Shell: 2.5 --> No Conversion Required
Longitudinal Strain: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_T = ∆V/((2*e₁)+ε_longitudinal) --> 56/((2*2.5)+40)

Evaluating ... ...

V_T = 1.24444444444444

STEP 3: Convert Result to Output's Unit

1.24444444444444 Cubic Meter --> No Conversion Required

FINAL ANSWER

1.24444444444444 ≈ 1.244444 Cubic Meter <-- Volume of Thin Cylindrical Shell

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 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)

< Strain Calculators

Strain in thin spherical shell given internal fluid pressure

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

Circumferential strain given hoop stress

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

Strain in any one direction of thin spherical shell

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

Circumferential strain given circumference

LaTeX Go Circumferential Strain Thin Shell = Change in Circumference/Original Circumference

Volume of thin cylindrical shell given circumferential and longitudinal strain Formula

LaTeX Go

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

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 Volume of thin cylindrical shell given circumferential and longitudinal strain?

Volume of thin cylindrical shell given circumferential and longitudinal strain calculator uses Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential Strain Thin Shell)+Longitudinal Strain) to calculate the Volume of Thin Cylindrical Shell, The Volume of thin cylindrical shell given circumferential and longitudinal strain formula is defined as the quantity of three-dimensional space enclosed by a closed surface. Volume of Thin Cylindrical Shell is denoted by V_T symbol.

How to calculate Volume of thin cylindrical shell given circumferential and longitudinal strain using this online calculator? To use this online calculator for Volume of thin cylindrical shell given circumferential and longitudinal strain, enter Change in Volume (∆V), Circumferential Strain Thin Shell (e₁) & Longitudinal Strain (ε_longitudinal) and hit the calculate button. Here is how the Volume of thin cylindrical shell given circumferential and longitudinal strain calculation can be explained with given input values -> 1.244444 = 56/((2*2.5)+40).

FAQ

What is Volume of thin cylindrical shell given circumferential and longitudinal strain?

The Volume of thin cylindrical shell given circumferential and longitudinal strain formula is defined as the quantity of three-dimensional space enclosed by a closed surface and is represented as V_T = ∆V/((2*e₁)+ε_longitudinal) or Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential Strain Thin Shell)+Longitudinal Strain). The Change in volume is difference of initial and final volume, Circumferential strain Thin Shell represents the change in length & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Volume of thin cylindrical shell given circumferential and longitudinal strain?

The Volume of thin cylindrical shell given circumferential and longitudinal strain formula is defined as the quantity of three-dimensional space enclosed by a closed surface is calculated using Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential Strain Thin Shell)+Longitudinal Strain). To calculate Volume of thin cylindrical shell given circumferential and longitudinal strain, you need Change in Volume (∆V), Circumferential Strain Thin Shell (e₁) & Longitudinal Strain (ε_longitudinal). With our tool, you need to enter the respective value for Change in Volume, Circumferential Strain Thin Shell & Longitudinal Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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