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 00.020 seconds)

Credits

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17 Design of Pressure Vessel Subjected to Internal Pressure Calculators

Coefficient Value for Thickness of Flange
Go Coefficient Value for Thickness of Flange = ((1)/((0.3)+(1.5*Maximum Bolt Loads*Radial Distance)/(Hydrostatic End Force in Gasket Seal*Diameter of Gasket at Load Reaction)))
Gasket Factor
Go Gasket Factor = (Total Fastener Force-Inside Area of Gasket*Test Pressure)/(Gasket Area*Test Pressure)
Longitudinal Stress (Axial Stress) in Cylindrical Shell
Go Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell
Internal Presure of Vessel given Longitudinal Stress
Go Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)
Wall Thickness of Pressure Vessel given Longitudinal Stress
Go Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress)
Wall Thickness of Cylindrical Shell Given Hoop Stress
Go Thickness of Shell for Hoop Stress = (2*Internal Pressure given Hoop Stress*Mean Diameter of Shell)/Circumferential Stress
Internal Pressure of Cylindrical Vessel given Hoop Stress
Go Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)
Circumferential Stress (Hoop Stress) in Cylinderical Shell
Go Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell
Maximum Bolt Spacing
Go Maximum Bolt Spacing = 2*Nominal Bolt Diameter+(6*Thickness of Flange/Gasket Factor+0.5)
Hydrostatic End Force using Design Pressure
Go Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure
Diameter of Gasket at Load Reaction
Go Diameter of Gasket at Load Reaction = Outside Diameter of Gasket-2*Effective Gasket Seating Width
Effective Thickness of Conical Head
Go Effective Thickness = Thickness of Conical Head*(cos(Apex Angle))
Hoop Strain
Go Hoop Strain = (Final Length-Initial Length)/(Initial Length)
Radial Distance from Gasket Load Reaction to Bolt Circle
Go Radial Distance = (Bolt Circle Diameter-Diameter of Gasket at Load Reaction)/2
Bolt Circle Diameter
Go Bolt Circle Diameter = Outside Diameter of Gasket+(2*Nominal Bolt Diameter)+12
Outside Diameter of Flange using Bolt Diameter
Go Outside Flange Diameter = Bolt Circle Diameter+2*Nominal Bolt Diameter+12
Minimum Bolt Spacing
Go Minimum Bolt Spacing = 2.5*Nominal Bolt Diameter

Hoop Strain Formula

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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