Internal Pressure of Cylindrical Vessel given Hoop Stress Calculator

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%
✖The Thickness of Cylindrical Shell is based on simplified stress analysis and allowable stress for the material of construction.ⓘ Thickness of Cylindrical Shell [t_c]			+10% -10%
✖Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other.ⓘ Mean Diameter of Shell [D]			+10% -10%

✖Internal Pressure given Hoop Stress is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Pressure of Cylindrical Vessel given Hoop Stress [P_HoopStress]

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Internal Pressure of Cylindrical Vessel given Hoop Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)
P_HoopStress = (2*σ_c*t_c)/(D)
This formula uses 4 Variables

Variables Used

Internal Pressure given Hoop Stress - (Measured in Pascal) - Internal Pressure given Hoop Stress is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Thickness of Cylindrical Shell - (Measured in Meter) - The Thickness of Cylindrical Shell is based on simplified stress analysis and allowable stress for the material of construction.
Mean Diameter of Shell - (Measured in Meter) - Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other.

STEP 1: Convert Input(s) to Base Unit

Circumferential Stress: 1625.7 Pascal --> 1625.7 Pascal No Conversion Required
Thickness of Cylindrical Shell: 2.4 Meter --> 2.4 Meter No Conversion Required
Mean Diameter of Shell: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_HoopStress = (2*σ_c*t_c)/(D) --> (2*1625.7*2.4)/(5)

Evaluating ... ...

P_HoopStress = 1560.672

STEP 3: Convert Result to Output's Unit

1560.672 Pascal --> No Conversion Required

FINAL ANSWER

1560.672 Pascal <-- Internal Pressure given Hoop Stress

(Calculation completed in 00.005 seconds)

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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

Internal Pressure of Cylindrical Vessel given Hoop Stress Formula

LaTeX Go

Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)
P_HoopStress = (2*σ_c*t_c)/(D)

What is Hoop Stress?

Hoop stress, also known as circumferential stress, is a type of mechanical stress that acts in a circular or circumferential direction around the circumference of a cylindrical or spherical object, such as a pressure vessel. It is caused by internal or external pressure acting on the walls of the object. Hoop stress is perpendicular to the longitudinal axis of the cylindrical or spherical shape and is distinct from longitudinal stress, which acts along the length of the object.

How to Calculate Internal Pressure of Cylindrical Vessel given Hoop Stress?

Internal Pressure of Cylindrical Vessel given Hoop Stress calculator uses Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell) to calculate the Internal Pressure given Hoop Stress, The Internal Pressure of Cylindrical Vessel given Hoop Stress refers to the pressure that the contents of the vessel can exert on the vessel's walls without causing the vessel to exceed a specified hoop stress limit. Internal Pressure given Hoop Stress is denoted by P_HoopStress symbol.

How to calculate Internal Pressure of Cylindrical Vessel given Hoop Stress using this online calculator? To use this online calculator for Internal Pressure of Cylindrical Vessel given Hoop Stress, enter Circumferential Stress (σ_c), Thickness of Cylindrical Shell (t_c) & Mean Diameter of Shell (D) and hit the calculate button. Here is how the Internal Pressure of Cylindrical Vessel given Hoop Stress calculation can be explained with given input values -> 1560.672 = (2*1625.7*2.4)/(5).

FAQ

What is Internal Pressure of Cylindrical Vessel given Hoop Stress?

The Internal Pressure of Cylindrical Vessel given Hoop Stress refers to the pressure that the contents of the vessel can exert on the vessel's walls without causing the vessel to exceed a specified hoop stress limit and is represented as P_HoopStress = (2*σ_c*t_c)/(D) or Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell). Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius, The Thickness of Cylindrical Shell is based on simplified stress analysis and allowable stress for the material of construction & Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other.

How to calculate Internal Pressure of Cylindrical Vessel given Hoop Stress?

The Internal Pressure of Cylindrical Vessel given Hoop Stress refers to the pressure that the contents of the vessel can exert on the vessel's walls without causing the vessel to exceed a specified hoop stress limit is calculated using Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell). To calculate Internal Pressure of Cylindrical Vessel given Hoop Stress, you need Circumferential Stress (σ_c), Thickness of Cylindrical Shell (t_c) & Mean Diameter of Shell (D). With our tool, you need to enter the respective value for Circumferential Stress, Thickness of Cylindrical Shell & Mean Diameter of Shell 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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