Change in diameter 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%
✖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 of cylindrical shell given change in volume of cylindrical shell [∆d]

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Formula

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

Formula

∆d = \frac{(\frac{∆V}{\frac{π}{4}}) - (ΔL \cdot (D^{2}))}{2 \cdot D \cdot L cylinder}

Example

4998.289 mm = \frac{(\frac{56 m³}{\frac{π}{4}}) - (1100 mm \cdot ({2200 mm}^{2}))}{2 \cdot 2200 mm \cdot 3000 mm}

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Change in Diameter - (Measured in Meter) - The Change in Diameter is the difference between the initial and final diameter.
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.
Length Of Cylindrical Shell - (Measured in Meter) - Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

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)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆d = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*L_cylinder) --> ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*3)

Evaluating ... ...

∆d = 4.99828897766433

STEP 3: Convert Result to Output's Unit

4.99828897766433 Meter -->4998.28897766433 Millimeter (Check conversion here)

FINAL ANSWER

4998.28897766433 ≈ 4998.289 Millimeter <-- Change in Diameter

(Calculation completed in 00.007 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 » Change in Dimensions » Change in diameter of cylindrical shell given change in volume of cylindrical shell

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National Institute Of Technology (NIT), Hamirpur

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< Change in Dimensions Calculators

Change in diameter of vessel given internal fluid pressure

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

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

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

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

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

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

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell calculator uses Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell) to calculate the Change in Diameter, Change in diameter of cylindrical shell given change in volume of cylindrical shell formula is the change in length of the chord that runs through the center point of the circle. It is the longest possible chord of any circle. Change in Diameter is denoted by ∆d symbol.

How to calculate Change in diameter of cylindrical shell given change in volume of cylindrical shell using this online calculator? To use this online calculator for Change in diameter of cylindrical shell given change in volume of cylindrical shell, enter Change in Volume (∆V), Change in Length (ΔL), Diameter of Shell (D) & Length Of Cylindrical Shell (L_cylinder) and hit the calculate button. Here is how the Change in diameter of cylindrical shell given change in volume of cylindrical shell calculation can be explained with given input values -> 5E+6 = ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*3).

FAQ

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell formula is the change in length of the chord that runs through the center point of the circle. It is the longest possible chord of any circle and is represented as ∆d = ((∆V/(pi/4))-(ΔL*(D^2)))/(2*D*L_cylinder) or Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell). 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 & Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell formula is the change in length of the chord that runs through the center point of the circle. It is the longest possible chord of any circle is calculated using Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell). To calculate Change in diameter of cylindrical shell given change in volume of cylindrical shell, you need Change in Volume (∆V), Change in Length (ΔL), Diameter of Shell (D) & Length Of Cylindrical Shell (L_cylinder). With our tool, you need to enter the respective value for Change in Volume, Change in Length, Diameter of Shell & Length Of Cylindrical Shell 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 Diameter?

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

Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2
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 = Circumferential strain Thin Shell*Original Diameter

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