Circumferential Stress (Hoop Stress) in Cylinderical Shell Calculator

✖Internal Pressure for Vessel is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Pressure for Vessel [P_Internal]			+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%
✖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%

✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress (Hoop Stress) in Cylinderical Shell [σ_c]

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Formula

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Circumferential Stress (Hoop Stress) in Cylinderical Shell

Formula

`"σ"_{"c"} = ("P"_{"Internal"}*"D")/2*"t"_{"c"}`

Example

`"1625.7Pa"=("270.95Pa"*"5m")/2*"2.4m"`

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Download Design of Pressure Vessel Subjected to Internal Pressure Formulas PDF

Circumferential Stress (Hoop Stress) in Cylinderical Shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.
Internal Pressure for Vessel - (Measured in Pascal) - Internal Pressure for Vessel is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure for Vessel: 270.95 Pascal --> 270.95 Pascal No Conversion Required
Mean Diameter of Shell: 5 Meter --> 5 Meter No Conversion Required
Thickness of Cylindrical Shell: 2.4 Meter --> 2.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (P_Internal*D)/2*t_c --> (270.95*5)/2*2.4

Evaluating ... ...

σ_c = 1625.7

STEP 3: Convert Result to Output's Unit

1625.7 Pascal --> No Conversion Required

FINAL ANSWER

1625.7 Pascal <-- Circumferential Stress

(Calculation completed in 00.004 seconds)

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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

Circumferential Stress (Hoop Stress) in Cylinderical Shell Formula

Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell
σ_c = (P_Internal*D)/2*t_c

What is Stress?

Stress is a quantity that describes the magnitude of forces that cause deformation. When forces pull on an object and cause its elongation, like the stretching of an elastic band, we call such stress a tensile stress. When forces cause a compression of an object, we call it a compressive stress. When an object is being squeezed from all sides, like a submarine in the depths of an ocean, we call this kind of stress a bulk stress (or volume stress).

How to Calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell?

Circumferential Stress (Hoop Stress) in Cylinderical Shell calculator uses Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell to calculate the Circumferential Stress, Circumferential Stress (Hoop Stress) in Cylinderical Shell is the stress that occurs along the pipe's circumference when pressure is applied. Circumferential Stress is denoted by σ_c symbol.

How to calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell using this online calculator? To use this online calculator for Circumferential Stress (Hoop Stress) in Cylinderical Shell, enter Internal Pressure for Vessel (P_Internal), Mean Diameter of Shell (D) & Thickness of Cylindrical Shell (t_c) and hit the calculate button. Here is how the Circumferential Stress (Hoop Stress) in Cylinderical Shell calculation can be explained with given input values -> 1625.7 = (270.95*5)/2*2.4.

FAQ

What is Circumferential Stress (Hoop Stress) in Cylinderical Shell?

Circumferential Stress (Hoop Stress) in Cylinderical Shell is the stress that occurs along the pipe's circumference when pressure is applied and is represented as σ_c = (P_Internal*D)/2*t_c or Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell. Internal Pressure for Vessel is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature, Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other & The Thickness of Cylindrical Shell is based on simplified stress analysis and allowable stress for the material of construction.

How to calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell?

Circumferential Stress (Hoop Stress) in Cylinderical Shell is the stress that occurs along the pipe's circumference when pressure is applied is calculated using Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell. To calculate Circumferential Stress (Hoop Stress) in Cylinderical Shell, you need Internal Pressure for Vessel (P_Internal), Mean Diameter of Shell (D) & Thickness of Cylindrical Shell (t_c). With our tool, you need to enter the respective value for Internal Pressure for Vessel, Mean Diameter of Shell & Thickness of Cylindrical 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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