Change in 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%
✖Diameter of Shell is the maximum width of cylinder in transverse direction.ⓘ Diameter of Shell [D]			+10% -10%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+10% -10%
✖The Change in Diameter is the difference between the initial and final diameter.ⓘ Change in Diameter [∆d]			+10% -10%

✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in length of cylindrical shell given change in volume of cylindrical shell [ΔL]

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Change in length of cylindrical shell given change in volume of cylindrical shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Diameter of Shell - (Measured in Meter) - Diameter of Shell is the maximum width of cylinder in transverse direction.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.
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
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 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

ΔL = ((∆V/(pi/4))-(2*D*L_cylinder*∆d))/((D^2)) --> ((56/(pi/4))-(2*2.2*3*0.0505))/((2.2^2))

Evaluating ... ...

ΔL = 14.5939699390845

STEP 3: Convert Result to Output's Unit

14.5939699390845 Meter -->14593.9699390845 Millimeter (Check conversion here)

FINAL ANSWER

14593.9699390845 ≈ 14593.97 Millimeter <-- Change in Length

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Change in Dimensions Calculators

Change in diameter of vessel given internal fluid pressure

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell

LaTeX Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in diameter in thin cylindrical strain given volumetric strain

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

Change in circumference of vessel due to pressure given circumferential strain

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

< Change in Dimension Calculators

Change in diameter of vessel given internal fluid pressure

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell

LaTeX Go Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell)

Change in diameter in thin cylindrical strain given volumetric strain

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

Change in circumference of vessel due to pressure given circumferential strain

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

Change in length of cylindrical shell given change in volume of cylindrical shell Formula

LaTeX Go

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

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 Change in length of cylindrical shell given change in volume of cylindrical shell?

Change in length of cylindrical shell given change in volume of cylindrical shell calculator uses Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2)) to calculate the Change in Length, The Change in 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. Change in Length is denoted by ΔL symbol.

How to calculate Change in length of cylindrical shell given change in volume of cylindrical shell using this online calculator? To use this online calculator for Change in length of cylindrical shell given change in volume of cylindrical shell, enter Change in Volume (∆V), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder) & Change in Diameter (∆d) and hit the calculate button. Here is how the Change in length of cylindrical shell given change in volume of cylindrical shell calculation can be explained with given input values -> 1.5E+7 = ((56/(pi/4))-(2*2.2*3*0.0505))/((2.2^2)).

FAQ

What is Change in length of cylindrical shell given change in volume of cylindrical shell?

The Change in 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 ΔL = ((∆V/(pi/4))-(2*D*L_cylinder*∆d))/((D^2)) or Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2)). The Change in volume is difference of initial and final volume, Diameter of Shell is the maximum width of cylinder in transverse direction, Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end & The Change in Diameter is the difference between the initial and final diameter.

How to calculate Change in length of cylindrical shell given change in volume of cylindrical shell?

The Change in 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 Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2)). To calculate Change in length of cylindrical shell given change in volume of cylindrical shell, you need Change in Volume (∆V), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder) & Change in Diameter (∆d). With our tool, you need to enter the respective value for Change in Volume, Diameter of Shell, Length Of Cylindrical 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 Change in Length?

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

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

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