Length of cylindrical shell given change in volume of cylindrical shell Calculator

✖The Change in volume is difference of initial and final volume.ⓘ Change in Volume [∆V]			+10% -10%
✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of Shell [D]			+10% -10%
✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+10% -10%

✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length of cylindrical shell given change in volume of cylindrical shell [L_cylinder]

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Length of cylindrical shell given change in volume of cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)
L_cylinder = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*∆d)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.

STEP 1: Convert Input(s) to Base Unit

Change in Volume: 56 Cubic Meter --> 56 Cubic Meter No Conversion Required
Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Change in Diameter: 50.5 Millimeter --> 0.0505 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_cylinder = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*∆d) --> ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*0.0505)

Evaluating ... ...

L_cylinder = 296.928058079069

STEP 3: Convert Result to Output's Unit

296.928058079069 Meter -->296928.058079069 Millimeter (Check conversion here)

FINAL ANSWER

296928.058079069 ≈ 296928.1 Millimeter <-- Length Of Cylindrical Shell

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Mechanical » Stress and Strain » Length of cylindrical shell given change in volume of cylindrical shell

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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)

< Cylinders And Spheres Calculators

Diameter of spherical shell given change in diameter of thin spherical shells

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

Thickness of spherical shell given change in diameter of thin spherical shells

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

Internal fluid pressure given change in diameter of thin spherical shells

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

Diameter of thin spherical shell given strain in any one direction

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

Length of cylindrical shell given change in volume of cylindrical shell Formula

LaTeX Go

Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)
L_cylinder = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*∆d)

What is the relation between lateral strain and longitudinal strain?

Lateral strain is defined as the ratio of decrease in the length of the bar in the perpendicular direction of applied load to that of the original length (gauge length). Poisson's ratio: The ratio of lateral strain to that of the longitudinal strain is termed as Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Length of cylindrical shell given change in volume of cylindrical shell?

Length of cylindrical shell given change in volume of cylindrical shell calculator uses Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter) to calculate the Length Of Cylindrical Shell, The Length of cylindrical shell given change in volume of cylindrical shell formula is defined as the measurement or extent of something from end to end. Length Of Cylindrical Shell is denoted by L_cylinder symbol.

How to calculate Length of cylindrical shell given change in volume of cylindrical shell using this online calculator? To use this online calculator for Length of cylindrical shell given change in volume of cylindrical shell, enter Change in Volume (∆V), Change in Length (ΔL), Diameter of Shell (D) & Change in Diameter (∆d) and hit the calculate button. Here is how the Length of cylindrical shell given change in volume of cylindrical shell calculation can be explained with given input values -> 3E+8 = ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*0.0505).

FAQ

What is Length of cylindrical shell given change in volume of cylindrical shell?

The Length of cylindrical shell given change in volume of cylindrical shell formula is defined as the measurement or extent of something from end to end and is represented as L_cylinder = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*∆d) or Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter). The Change in volume is difference of initial and final volume, Change in Length is after the application of force, change in the dimensions of the object, Diameter of Shell is the maximum width of cylinder in transverse direction & The Change in Diameter is the difference between the initial and final diameter.

How to calculate Length of cylindrical shell given change in volume of cylindrical shell?

The Length of cylindrical shell given change in volume of cylindrical shell formula is defined as the measurement or extent of something from end to end is calculated using Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter). To calculate Length of cylindrical shell given change in volume of cylindrical shell, you need Change in Volume (∆V), Change in Length (ΔL), Diameter of Shell (D) & Change in Diameter (∆d). With our tool, you need to enter the respective value for Change in Volume, Change in Length, Diameter of Shell & Change in Diameter 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 Length Of Cylindrical Shell?

In this formula, Length Of Cylindrical Shell uses Change in Volume, Change in Length, Diameter of Shell & Change in Diameter. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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