Change in volume given circumferential strain and longitudinal strain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain)
∆V = VT*((2*e1)+εlongitudinal)
This formula uses 4 Variables
Variables Used
Change in Volume - (Measured in Cubic Meter) - The Change in volume is difference of initial and final volume.
Volume of Thin Cylindrical Shell - (Measured in Cubic Meter) - Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container.
Circumferential strain Thin Shell - Circumferential strain Thin Shell represents the change in length.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
STEP 1: Convert Input(s) to Base Unit
Volume of Thin Cylindrical Shell: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Circumferential strain Thin Shell: 2.5 --> No Conversion Required
Longitudinal Strain: 40 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∆V = VT*((2*e1)+εlongitudinal) --> 63*((2*2.5)+40)
Evaluating ... ...
∆V = 2835
STEP 3: Convert Result to Output's Unit
2835 Cubic Meter --> No Conversion Required
FINAL ANSWER
2835 Cubic Meter <-- Change in Volume
(Calculation completed in 00.004 seconds)

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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 volume given circumferential strain and longitudinal strain Formula

Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain)
∆V = VT*((2*e1)+εlongitudinal)

What is tensile strength with example?

Tensile strength is a measurement of the force required to pull something such as rope, wire, or a structural beam to the point where it breaks. The tensile strength of a material is the maximum amount of tensile stress that it can take before failure, for example, breaking.

How to Calculate Change in volume given circumferential strain and longitudinal strain?

Change in volume given circumferential strain and longitudinal strain calculator uses Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain) to calculate the Change in Volume, Change in volume given circumferential strain and longitudinal strain is caused by a force exerted uniformly over the entire exposed surface of the solid. Change in Volume is denoted by ∆V symbol.

How to calculate Change in volume given circumferential strain and longitudinal strain using this online calculator? To use this online calculator for Change in volume given circumferential strain and longitudinal strain, enter Volume of Thin Cylindrical Shell (VT), Circumferential strain Thin Shell (e1) & Longitudinal Strain longitudinal) and hit the calculate button. Here is how the Change in volume given circumferential strain and longitudinal strain calculation can be explained with given input values -> 2835 = 63*((2*2.5)+40).

FAQ

What is Change in volume given circumferential strain and longitudinal strain?
Change in volume given circumferential strain and longitudinal strain is caused by a force exerted uniformly over the entire exposed surface of the solid and is represented as ∆V = VT*((2*e1)+εlongitudinal) or Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain). Volume of Thin Cylindrical Shell is the amount of space that a substance or object occupies or that is enclosed within a container, Circumferential strain Thin Shell represents the change in length & The Longitudinal Strain is ratio of change in length to original length.
How to calculate Change in volume given circumferential strain and longitudinal strain?
Change in volume given circumferential strain and longitudinal strain is caused by a force exerted uniformly over the entire exposed surface of the solid is calculated using Change in Volume = Volume of Thin Cylindrical Shell*((2*Circumferential strain Thin Shell)+Longitudinal Strain). To calculate Change in volume given circumferential strain and longitudinal strain, you need Volume of Thin Cylindrical Shell (VT), Circumferential strain Thin Shell (e1) & Longitudinal Strain longitudinal). With our tool, you need to enter the respective value for Volume of Thin Cylindrical Shell, Circumferential strain Thin Shell & Longitudinal Strain 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 Volume?
In this formula, Change in Volume uses Volume of Thin Cylindrical Shell, Circumferential strain Thin Shell & Longitudinal Strain. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Change in Volume = Volumetric Strain*Original Volume
  • Change in Volume = (pi/4)*((2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter)+(Change in Length*(Diameter of Shell^2)))
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