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Hoop Strain Formula

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Hoop Strain is strain set up in the walls of thin cylinder owing to internal pressure p. Check FAQs

E = \frac{l 2 - l 0}{l 0}

E - Hoop Strain?l₂ - Final Length?l₀ - Initial Length?

Hoop Strain Example

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With units

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Here is how the Hoop Strain equation looks like with Values.

Here is how the Hoop Strain equation looks like with Units.

Here is how the Hoop Strain equation looks like.

0.4286 = \frac{10 - 7}{7}

0.4286 = \frac{10m - 7m}{7m}

0.4286 = \frac{10 - 7}{7}

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Hoop Strain Solution

Follow our step by step solution on how to calculate Hoop Strain?

FIRST Step Consider the formula

E = \frac{l 2 - l 0}{l 0}

Next Step Substitute values of Variables

∴

E = \frac{10m - 7m}{7m}

Next Step Prepare to Evaluate

∴

E = \frac{10 - 7}{7}

Next Step Evaluate

∴

E = 0.428571428571429

LAST Step Rounding Answer

∴

E = 0.4286

Hoop Strain Formula Elements

Variables

Hoop Strain

Hoop Strain is strain set up in the walls of thin cylinder owing to internal pressure p.

Symbol: E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hoop Strain

Final Length

Final Length is the measurement or extent of something from end to end.

Symbol: l₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Final Length

Initial Length

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.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length

Other formulas in Design of Pressure Vessel Subjected to Internal Pressure category

Go Circumferential Stress (Hoop Stress) in Cylinderical Shell

σ c = \frac{P Internal \cdot D}{2} \cdot t c

Go Longitudinal Stress (Axial Stress) in Cylindrical Shell

σ CylindricalShell = \frac{P LS \cdot D}{4} \cdot t c

Go Bolt Circle Diameter

B = G o + (2 \cdot d b) + 12

Go Outside Diameter of Flange using Bolt Diameter

D fo = B + 2 \cdot d b + 12

How to Evaluate Hoop Strain?

Hoop Strain evaluator uses Hoop Strain = (Final Length-Initial Length)/(Initial Length) to evaluate 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 evaluate Hoop Strain using this online evaluator? To use this online evaluator for Hoop Strain, enter Final Length (l₂) & Initial Length (l₀) and hit the calculate button.

FAQs on Hoop Strain

What is the formula to find Hoop Strain?

The formula of Hoop Strain is expressed as Hoop Strain = (Final Length-Initial Length)/(Initial Length). Here is an example- 0.428571 = (10-7)/(7).

How to calculate Hoop Strain?

With Final Length (l₂) & Initial Length (l₀) we can find Hoop Strain using the formula - Hoop Strain = (Final Length-Initial Length)/(Initial Length).

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