Wall Thickness of Pressure Vessel given Longitudinal Stress 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%
✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress [σ_l]			+10% -10%

✖Thickness of Shell for Longitudinal Stress is based on simplified stress analysis and allowable stress for the material of construction.ⓘ Wall Thickness of Pressure Vessel given Longitudinal Stress [tc_{longitudinalstress}]

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Wall Thickness of Pressure Vessel given Longitudinal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress)
tc_{longitudinalstress} = (P_Internal*D)/(4*σ_l)
This formula uses 4 Variables

Variables Used

Thickness of Shell for Longitudinal Stress - (Measured in Pascal) - Thickness of Shell for Longitudinal Stress is based on simplified stress analysis and allowable stress for the material of construction.
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.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

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
Longitudinal Stress: 26967 Pascal --> 26967 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tc_{longitudinalstress} = (P_Internal*D)/(4*σ_l) --> (270.95*5)/(4*26967)

Evaluating ... ...

tc_{longitudinalstress} = 0.0125593317758742

STEP 3: Convert Result to Output's Unit

0.0125593317758742 Pascal --> No Conversion Required

FINAL ANSWER

0.0125593317758742 ≈ 0.012559 Pascal <-- Thickness of Shell for Longitudinal Stress

(Calculation completed in 00.020 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

Wall Thickness of Pressure Vessel given Longitudinal Stress Formula

LaTeX Go

Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress)
tc_{longitudinalstress} = (P_Internal*D)/(4*σ_l)

What is Longitudinal Stress?

Longitudinal stress refers to the stress that acts parallel to the longitudinal axis of a structure, typically a cylindrical or tubular object like a pressure vessel. In the context of a pressure vessel, it is the stress acting along the length of the vessel, following the direction of the vessel's axis. This stress is caused by the internal pressure within the vessel and is one of the key stresses that engineers consider during the design and analysis of pressure vessels. In a cylindrical pressure vessel, longitudinal stress is typically highest along the wall of the vessel and is calculated using formulas that take into account parameters like the internal pressure, vessel radius, and wall thickness. The goal of these calculations is to ensure that the vessel's wall can withstand the longitudinal stress without exceeding the allowable stress limit for the chosen material, as specified by relevant design codes and standards.

How to Calculate Wall Thickness of Pressure Vessel given Longitudinal Stress?

Wall Thickness of Pressure Vessel given Longitudinal Stress calculator uses Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress) to calculate the Thickness of Shell for Longitudinal Stress, Wall Thickness of Pressure Vessel given Longitudinal Stress is the measure of the thickness required for the cylindrical shell of the pressure vessel to withstand the longitudinal stress resulting from the internal pressure. Thickness of Shell for Longitudinal Stress is denoted by tc_{longitudinalstress} symbol.

How to calculate Wall Thickness of Pressure Vessel given Longitudinal Stress using this online calculator? To use this online calculator for Wall Thickness of Pressure Vessel given Longitudinal Stress, enter Internal Pressure for Vessel (P_Internal), Mean Diameter of Shell (D) & Longitudinal Stress (σ_l) and hit the calculate button. Here is how the Wall Thickness of Pressure Vessel given Longitudinal Stress calculation can be explained with given input values -> 0.072338 = (270.95*5)/(4*26967).

FAQ

What is Wall Thickness of Pressure Vessel given Longitudinal Stress?

Wall Thickness of Pressure Vessel given Longitudinal Stress is the measure of the thickness required for the cylindrical shell of the pressure vessel to withstand the longitudinal stress resulting from the internal pressure and is represented as tc_{longitudinalstress} = (P_Internal*D)/(4*σ_l) or Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress). 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 & Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.

How to calculate Wall Thickness of Pressure Vessel given Longitudinal Stress?

Wall Thickness of Pressure Vessel given Longitudinal Stress is the measure of the thickness required for the cylindrical shell of the pressure vessel to withstand the longitudinal stress resulting from the internal pressure is calculated using Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress). To calculate Wall Thickness of Pressure Vessel given Longitudinal Stress, you need Internal Pressure for Vessel (P_Internal), Mean Diameter of Shell (D) & Longitudinal Stress (σ_l). With our tool, you need to enter the respective value for Internal Pressure for Vessel, Mean Diameter of Shell & Longitudinal 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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