Hoop Strain Calculator

✖Final Length is the measurement or extent of something from end to end.ⓘ Final Length [l₂]			+10% -10%
✖Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.ⓘ Initial Length [l₀]			+10% -10%

✖Hoop Strain is strain set up in the walls of thin cylinder owing to internal pressure p.ⓘ Hoop Strain [E]

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Hoop Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Strain = (Final Length-Initial Length)/(Initial Length)
E = (l₂-l₀)/(l₀)
This formula uses 3 Variables

Variables Used

Hoop Strain - Hoop Strain is strain set up in the walls of thin cylinder owing to internal pressure p.
Final Length - (Measured in Meter) - Final Length is the measurement or extent of something from end to end.
Initial Length - (Measured in Meter) - Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.

STEP 1: Convert Input(s) to Base Unit

Final Length: 10 Meter --> 10 Meter No Conversion Required
Initial Length: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (l₂-l₀)/(l₀) --> (10-7)/(7)

Evaluating ... ...

E = 0.428571428571429

STEP 3: Convert Result to Output's Unit

0.428571428571429 --> No Conversion Required

FINAL ANSWER

0.428571428571429 ≈ 0.428571 <-- Hoop Strain

(Calculation completed in 00.004 seconds)

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Created by Heet

Thadomal Shahani Engineering College (Tsec), Mumbai

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National University of Judicial Science (NUJS), Kolkata

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< Design of Pressure Vessel Subjected to Internal Pressure Calculators

Longitudinal Stress (Axial Stress) in Cylindrical Shell

LaTeX Go Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell

Circumferential Stress (Hoop Stress) in Cylinderical Shell

LaTeX Go Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell

Hoop Strain

LaTeX Go Hoop Strain = (Final Length-Initial Length)/(Initial Length)

Bolt Circle Diameter

LaTeX Go Bolt Circle Diameter = Outside Diameter of Gasket+(2*Nominal Bolt Diameter)+12

Hoop Strain Formula

LaTeX Go

Hoop Strain = (Final Length-Initial Length)/(Initial Length)
E = (l₂-l₀)/(l₀)

What is Strain?

Strain is related to deformation in terms of relative displacement of particles in the body that excludes rigid-body motions. Different equivalent choices may be made for the expression of a strain field depending on whether it is defined with respect to the initial or the final configuration of the body and on whether the metric tensor or its dual is considered.

How to Calculate Hoop Strain?

Hoop Strain calculator uses Hoop Strain = (Final Length-Initial Length)/(Initial Length) to calculate the Hoop Strain, The Hoop Strain formula results from the change in length of a fiber of material around the circumference of the solid. Hoop Strain is denoted by E symbol.

How to calculate Hoop Strain using this online calculator? To use this online calculator for Hoop Strain, enter Final Length (l₂) & Initial Length (l₀) and hit the calculate button. Here is how the Hoop Strain calculation can be explained with given input values -> 0.428571 = (10-7)/(7).

FAQ

What is Hoop Strain?

The Hoop Strain formula results from the change in length of a fiber of material around the circumference of the solid and is represented as E = (l₂-l₀)/(l₀) or Hoop Strain = (Final Length-Initial Length)/(Initial Length). Final Length is the measurement or extent of something from end to end & Initial Length or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.

How to calculate Hoop Strain?

The Hoop Strain formula results from the change in length of a fiber of material around the circumference of the solid is calculated using Hoop Strain = (Final Length-Initial Length)/(Initial Length). To calculate Hoop Strain, you need Final Length (l₂) & Initial Length (l₀). With our tool, you need to enter the respective value for Final Length & Initial Length 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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