Wall Thickness of Cylindrical Shell Given Hoop Stress Calculator

✖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 given Hoop Stress [P_HoopStress]			+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%
✖Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.ⓘ Circumferential Stress [σ_c]			+10% -10%

✖Thickness of Shell for Hoop Stress is based on simplified stress analysis and allowable stress for the material of construction.ⓘ Wall Thickness of Cylindrical Shell Given Hoop Stress [tc_hoopstress]

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Formula

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Wall Thickness of Cylindrical Shell Given Hoop Stress

Formula

`"tc"_{"hoopstress"} = (2*"P"_{"HoopStress"}*"D")/"σ"_{"c"}`

Example

`"9.6m"=(2*"1560.672Pa"*"5m")/"1625.7Pa"`

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Wall Thickness of Cylindrical Shell Given Hoop Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Thickness of Shell for Hoop Stress - (Measured in Meter) - Thickness of Shell for Hoop Stress is based on simplified stress analysis and allowable stress for the material of construction.
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.
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.
Circumferential Stress - (Measured in Pascal) - Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure given Hoop Stress: 1560.672 Pascal --> 1560.672 Pascal No Conversion Required
Mean Diameter of Shell: 5 Meter --> 5 Meter No Conversion Required
Circumferential Stress: 1625.7 Pascal --> 1625.7 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tc_hoopstress = (2*P_HoopStress*D)/σ_c --> (2*1560.672*5)/1625.7

Evaluating ... ...

tc_hoopstress = 9.6

STEP 3: Convert Result to Output's Unit

9.6 Meter --> No Conversion Required

FINAL ANSWER

9.6 Meter <-- Thickness of Shell for Hoop 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

Wall Thickness of Cylindrical Shell Given Hoop Stress Formula

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

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 Wall Thickness of Cylindrical Shell Given Hoop Stress?

Wall Thickness of Cylindrical Shell Given Hoop Stress calculator uses Thickness of Shell for Hoop Stress = (2*Internal Pressure given Hoop Stress*Mean Diameter of Shell)/Circumferential Stress to calculate the Thickness of Shell for Hoop Stress, The Wall Thickness of Cylindrical Shell Given Hoop Stress refers to the thickness of the shell's wall that is calculated to ensure the cylindrical vessel can withstand the hoop stress without exceeding a specified hoop stress limit. Thickness of Shell for Hoop Stress is denoted by tc_hoopstress symbol.

How to calculate Wall Thickness of Cylindrical Shell Given Hoop Stress using this online calculator? To use this online calculator for Wall Thickness of Cylindrical Shell Given Hoop Stress, enter Internal Pressure given Hoop Stress (P_HoopStress), Mean Diameter of Shell (D) & Circumferential Stress (σ_c) and hit the calculate button. Here is how the Wall Thickness of Cylindrical Shell Given Hoop Stress calculation can be explained with given input values -> 9.6 = (2*1560.672*5)/1625.7.

FAQ

What is Wall Thickness of Cylindrical Shell Given Hoop Stress?

The Wall Thickness of Cylindrical Shell Given Hoop Stress refers to the thickness of the shell's wall that is calculated to ensure the cylindrical vessel can withstand the hoop stress without exceeding a specified hoop stress limit and is represented as tc_hoopstress = (2*P_HoopStress*D)/σ_c or Thickness of Shell for Hoop Stress = (2*Internal Pressure given Hoop Stress*Mean Diameter of Shell)/Circumferential Stress. 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, Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other & Circumferential Stress is the force over area exerted circumferentially perpendicular to the axis and the radius.

How to calculate Wall Thickness of Cylindrical Shell Given Hoop Stress?

The Wall Thickness of Cylindrical Shell Given Hoop Stress refers to the thickness of the shell's wall that is calculated to ensure the cylindrical vessel can withstand the hoop stress without exceeding a specified hoop stress limit is calculated using Thickness of Shell for Hoop Stress = (2*Internal Pressure given Hoop Stress*Mean Diameter of Shell)/Circumferential Stress. To calculate Wall Thickness of Cylindrical Shell Given Hoop Stress, you need Internal Pressure given Hoop Stress (P_HoopStress), Mean Diameter of Shell (D) & Circumferential Stress (σ_c). With our tool, you need to enter the respective value for Internal Pressure given Hoop Stress, Mean Diameter of Shell & Circumferential Stress 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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