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 = \frac{2 \cdot P HoopStress \cdot D}{σ c}

Example

9.6 m = \frac{2 \cdot 1560.672 Pa \cdot 5 m}{1625.7 Pa}

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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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< Design of Pressure Vessel Subjected to Internal Pressure Calculators

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

Circumferential Stress (Hoop Stress) in Cylinderical Shell

Go Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell

Hoop Strain

Go Hoop Strain = (Final Length-Initial Length)/(Initial Length)

Bolt Circle Diameter

Go Bolt Circle Diameter = Outside Diameter of Gasket+(2*Nominal Bolt Diameter)+12

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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