Internal Presure of Vessel given Longitudinal Stress Calculator

✖Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.ⓘ Longitudinal Stress [σ_l]			+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%
✖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%

✖Internal Pressure given Longitudinal Stress is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Presure of Vessel given Longitudinal Stress [P_LS]

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Formula

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Internal Presure of Vessel given Longitudinal Stress

Formula

`"P"_{"LS"} = (4*"σ"_{"l"}*"t"_{"c"})/("D")`

Example

`"51776.64Pa"=(4*"26967Pa"*"2.4m")/("5m")`

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Internal Presure of Vessel given Longitudinal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)
P_LS = (4*σ_l*t_c)/(D)
This formula uses 4 Variables

Variables Used

Internal Pressure given Longitudinal Stress - (Measured in Pascal) - Internal Pressure given Longitudinal Stress is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Longitudinal Stress: 26967 Pascal --> 26967 Pascal No Conversion Required
Thickness of Cylindrical Shell: 2.4 Meter --> 2.4 Meter No Conversion Required
Mean Diameter of Shell: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_LS = (4*σ_l*t_c)/(D) --> (4*26967*2.4)/(5)

Evaluating ... ...

P_LS = 51776.64

STEP 3: Convert Result to Output's Unit

51776.64 Pascal --> No Conversion Required

FINAL ANSWER

51776.64 Pascal <-- Internal Pressure given Longitudinal Stress

(Calculation completed in 00.020 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

Internal Presure of Vessel given Longitudinal Stress Formula

Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)
P_LS = (4*σ_l*t_c)/(D)

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 Internal Presure of Vessel given Longitudinal Stress?

Internal Presure of Vessel given Longitudinal Stress calculator uses Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell) to calculate the Internal Pressure given Longitudinal Stress, The Internal Presure of Vessel given Longitudinal Stress refers to the pressure exerted by the contents of the vessel, which is calculated to ensure that the vessel can withstand a specified longitudinal stress without compromising its structural integrity. Internal Pressure given Longitudinal Stress is denoted by P_LS symbol.

How to calculate Internal Presure of Vessel given Longitudinal Stress using this online calculator? To use this online calculator for Internal Presure of Vessel given Longitudinal Stress, enter Longitudinal Stress (σ_l), Thickness of Cylindrical Shell (t_c) & Mean Diameter of Shell (D) and hit the calculate button. Here is how the Internal Presure of Vessel given Longitudinal Stress calculation can be explained with given input values -> 51776.64 = (4*26967*2.4)/(5).

FAQ

What is Internal Presure of Vessel given Longitudinal Stress?

The Internal Presure of Vessel given Longitudinal Stress refers to the pressure exerted by the contents of the vessel, which is calculated to ensure that the vessel can withstand a specified longitudinal stress without compromising its structural integrity and is represented as P_LS = (4*σ_l*t_c)/(D) or Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell). Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure, The Thickness of Cylindrical Shell is based on simplified stress analysis and allowable stress for the material of construction & Mean Diameter of Shell is the average of two measurements of the diameter taken at right angles to each other.

How to calculate Internal Presure of Vessel given Longitudinal Stress?

The Internal Presure of Vessel given Longitudinal Stress refers to the pressure exerted by the contents of the vessel, which is calculated to ensure that the vessel can withstand a specified longitudinal stress without compromising its structural integrity is calculated using Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell). To calculate Internal Presure of Vessel given Longitudinal Stress, you need Longitudinal Stress (σ_l), Thickness of Cylindrical Shell (t_c) & Mean Diameter of Shell (D). With our tool, you need to enter the respective value for Longitudinal Stress, Thickness of Cylindrical Shell & Mean Diameter of 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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