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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Formula

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Wall Thickness of Pressure Vessel given Longitudinal Stress

Formula

`"tc"_{"longitudinalstress"} = ("P"_{"Internal"}*"D")/(4*"σ"_{"l"})`

Example

`"0.012559Pa"=("270.95Pa"*"5m")/(4*"26967Pa")`

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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 00.004 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 Pressure Vessel given Longitudinal Stress Formula

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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