Change in diameter in thin cylindrical strain given volumetric strain Calculator

✖The Volumetric Strain is the ratio of change in volume to original volume.ⓘ Volumetric Strain [ε_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%
✖Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.ⓘ Length Of Cylindrical Shell [L_cylinder]			+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 in thin cylindrical strain given volumetric strain [∆d]

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Formula

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Change in diameter in thin cylindrical strain given volumetric strain

Formula

`"∆d" = ("ε"_{"v"}-("ΔL"/"L"_{"cylinder"}))*"D"/2`

Example

`"32596.67mm"=("30"-("1100mm"/"3000mm"))*"2200mm"/2`

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Change in diameter in thin cylindrical strain given volumetric strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2
∆d = (ε_v-(ΔL/L_cylinder))*D/2
This formula uses 5 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Volumetric Strain: 30 --> No Conversion Required
Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Length Of Cylindrical Shell: 3000 Millimeter --> 3 Meter (Check conversion here)
Diameter of Shell: 2200 Millimeter --> 2.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆d = (ε_v-(ΔL/L_cylinder))*D/2 --> (30-(1.1/3))*2.2/2

Evaluating ... ...

∆d = 32.5966666666667

STEP 3: Convert Result to Output's Unit

32.5966666666667 Meter -->32596.6666666667 Millimeter (Check conversion here)

FINAL ANSWER

32596.6666666667 ≈ 32596.67 Millimeter <-- Change in Diameter

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thin Cylinders And Spheres » Effect of Internal Pressure on Dimension of Thin Cylindrical Shell » Change in Dimensions » Change in diameter in thin cylindrical strain given volumetric strain

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National Institute Of Technology (NIT), Hamirpur

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< 12 Change in Dimensions Calculators

Change in length of thin cylindrical shell given internal fluid pressure

Go 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 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 length of cylindrical shell given change in volume of cylindrical shell

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

Change in volume of thin cylindrical shell

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

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 length in thin cylindrical strain given volumetric strain

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

Change in volume given circumferential strain and longitudinal strain

Go Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain)

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 thin cylindrical vessel (Circumferential strain)

Go Change in Diameter = Circumferential strain Thin Shell*Original Diameter

Change in length of thin cylindrical vessel given longitudinal strain

Go Change in Length = Longitudinal Strain*Initial Length

Change in volume of cylindrical shell given volumetric strain

Go Change in Volume = Volumetric Strain*Original Volume

Change in diameter in thin cylindrical strain given volumetric strain Formula

Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2
∆d = (ε_v-(ΔL/L_cylinder))*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 is the ratio of lateral strain to that of the longitudinal strain is termed Poisson's ratio and it is represented by ϻ or 1/m.

How to Calculate Change in diameter in thin cylindrical strain given volumetric strain?

Change in diameter in thin cylindrical strain given volumetric strain calculator uses Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2 to calculate the Change in Diameter, Change in diameter in thin cylindrical strain given volumetric strain is the change in length of a 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 in thin cylindrical strain given volumetric strain using this online calculator? To use this online calculator for Change in diameter in thin cylindrical strain given volumetric strain, enter Volumetric Strain (ε_v), Change in Length (ΔL), Length Of Cylindrical Shell (L_cylinder) & Diameter of Shell (D) and hit the calculate button. Here is how the Change in diameter in thin cylindrical strain given volumetric strain calculation can be explained with given input values -> 3.3E+7 = (30-(1.1/3))*2.2/2.

FAQ

What is Change in diameter in thin cylindrical strain given volumetric strain?

Change in diameter in thin cylindrical strain given volumetric strain is the change in length of a chord that runs through the center point of the circle. It is the longest possible chord of any circle and is represented as ∆d = (ε_v-(ΔL/L_cylinder))*D/2 or Change in Diameter = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2. The Volumetric Strain is the ratio of change in volume to original volume, Change in Length is after the application of force, change in the dimensions of the object, Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end & Diameter of Shell is the maximum width of cylinder in transverse direction.

How to calculate Change in diameter in thin cylindrical strain given volumetric strain?

Change in diameter in thin cylindrical strain given volumetric strain is the change in length of a 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 = (Volumetric Strain-(Change in Length/Length Of Cylindrical Shell))*Diameter of Shell/2. To calculate Change in diameter in thin cylindrical strain given volumetric strain, you need Volumetric Strain (ε_v), Change in Length (ΔL), Length Of Cylindrical Shell (L_cylinder) & Diameter of Shell (D). With our tool, you need to enter the respective value for Volumetric Strain, Change in Length, Length Of Cylindrical Shell & Diameter of 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 Volumetric Strain, Change in Length, Length Of Cylindrical Shell & Diameter of Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = ((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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