Original length of vessel given longitudinal strain Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Length = Change in Length/Longitudinal Strain
l0 = ΔL/εlongitudinal
This formula uses 3 Variables
Variables Used
Initial Length - (Measured in Meter) - Initial Length before the application of load.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.
STEP 1: Convert Input(s) to Base Unit
Change in Length: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Longitudinal Strain: 40 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l0 = ΔL/εlongitudinal --> 1.1/40
Evaluating ... ...
l0 = 0.0275
STEP 3: Convert Result to Output's Unit
0.0275 Meter -->27.5 Millimeter (Check conversion here)
FINAL ANSWER
27.5 Millimeter <-- Initial Length
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

Original length of vessel given longitudinal strain Formula

Initial Length = Change in Length/Longitudinal Strain
l0 = ΔL/εlongitudinal

What is meant by hoop stress?

The hoop stress, or tangential stress, is the stress around the circumference of the pipe due to a pressure gradient. The maximum hoop stress always occurs at the inner radius or the outer radius depending on the direction of the pressure gradient.

How to Calculate Original length of vessel given longitudinal strain?

Original length of vessel given longitudinal strain calculator uses Initial Length = Change in Length/Longitudinal Strain to calculate the Initial Length, The Original length of vessel given longitudinal strain formula is defined as the measurement or extent of something from end to end. Initial Length is denoted by l0 symbol.

How to calculate Original length of vessel given longitudinal strain using this online calculator? To use this online calculator for Original length of vessel given longitudinal strain, enter Change in Length (ΔL) & Longitudinal Strain longitudinal) and hit the calculate button. Here is how the Original length of vessel given longitudinal strain calculation can be explained with given input values -> 27500 = 1.1/40.

FAQ

What is Original length of vessel given longitudinal strain?
The Original length of vessel given longitudinal strain formula is defined as the measurement or extent of something from end to end and is represented as l0 = ΔL/εlongitudinal or Initial Length = Change in Length/Longitudinal Strain. Change in Length is after the application of force, change in the dimensions of the object & The Longitudinal Strain is ratio of change in length to original length.
How to calculate Original length of vessel given longitudinal strain?
The Original length of vessel given longitudinal strain formula is defined as the measurement or extent of something from end to end is calculated using Initial Length = Change in Length/Longitudinal Strain. To calculate Original length of vessel given longitudinal strain, you need Change in Length (ΔL) & Longitudinal Strain longitudinal). With our tool, you need to enter the respective value for Change in Length & Longitudinal Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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