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)
Lcylinder = ((∆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
Lcylinder = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*∆d) --> ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*0.0505)
Evaluating ... ...
Lcylinder = 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 00.020 seconds)

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23 Effect of Internal Pressure on Dimension of Thin Cylindrical Shell Calculators

Diameter of cylindrical shell given change in length of cylindrical shell
Go Diameter of Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))
Length of cylindrical shell given change in length of cylindrical shell
Go 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))
Internal fluid pressure given change in length of cylindrical shell
Go Internal Pressure in thin shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Diameter of Shell*Length Of Cylindrical Shell))*((1/2)-Poisson's Ratio))
Internal diameter of thin cylindrical vessel given circumferential strain
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
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))
Internal fluid pressure in thin cylindrical vessel given change in diameter
Go Internal Pressure in thin shell = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/((((Inner Diameter of Cylinder^2)))*(1-(Poisson's Ratio/2)))
Internal fluid pressure in thin cylindrical vessel given longitudinal strain
Go Internal Pressure in thin shell = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Inner Diameter of Cylinder)*((1/2)-Poisson's Ratio))
Internal diameter of thin cylindrical vessel given longitudinal strain
Go Inner Diameter of Cylinder = (Longitudinal Strain*2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell)/((Internal Pressure in thin shell)*((1/2)-Poisson's Ratio))
Original diameter of vessel given change in diameter
Go Original Diameter = (Change in Diameter*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell))*(1-(Poisson's Ratio/2)))^(1/2)
Length of cylindrical shell given change in volume of cylindrical shell
Go Length Of Cylindrical Shell = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)
Diameter of thin cylindrical shell given volumetric strain
Go Diameter of Shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Internal Pressure in thin shell)*((5/2)-Poisson's Ratio))
Internal fluid pressure in shell given volumetric strain
Go Internal Pressure in thin shell = (Volumetric Strain*2*Modulus of Elasticity Of Thin Shell*Thickness Of Thin Shell)/((Diameter of Shell)*((5/2)-Poisson's Ratio))
Longitudinal stress given circumferential strain
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
Go Hoop Stress in Thin shell = (Circumferential strain Thin Shell*Modulus of Elasticity Of Thin Shell)+(Poisson's Ratio*Longitudinal Stress Thick Shell)
Hoop stress in thin cylindrical vessel given Longitudinal strain
Go Hoop Stress in Thin shell = (-(Longitudinal Strain*Modulus of Elasticity Of Thin Shell)+Longitudinal Stress Thick Shell)/(Poisson's Ratio)
Longitudinal stress in thin cylindrical vessel given Longitudinal strain
Go Longitudinal Stress Thick Shell = ((Longitudinal Strain*Modulus of Elasticity Of Thin Shell))+(Poisson's Ratio*Hoop Stress in Thin shell)
Diameter of thin cylindrical strain given volumetric strain
Go Diameter of Shell = 2*Change in Distance/(Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))
Length of thin cylindrical strain given volumetric strain
Go Length Of Cylindrical Shell = Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))
Volume of thin cylindrical shell given circumferential and longitudinal strain
Go Volume of Thin Cylindrical Shell = Change in Volume/((2*Circumferential strain Thin Shell)+Longitudinal Strain)
Original circumference of thin cylindrical vessel given circumferential strain
Go Original Circumference = Change in circumference/Circumferential strain Thin Shell
Original diameter of thin cylindrical vessel given circumferential strain
Go Original Diameter = Change in Diameter/Circumferential strain Thin Shell
Original length of vessel given longitudinal strain
Go Initial Length = Change in Length/Longitudinal Strain
Original volume of cylindrical shell given volumetric strain
Go Original Volume = Change in Volume/Volumetric Strain

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

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