Shell Thickness for Critical External Pressure Calculator

✖Modulus of Elasticity Jacketed Reaction Vessel refers to the measure of the vessel's ability to deform elastically under an applied load.ⓘ Modulus of Elasticity Jacketed Reaction Vessel [E]			+10% -10%
✖Poisson ratio is defined as the deformation of a material in directions perpendicular to the direction of loading.ⓘ Poisson Ratio [u]			+10% -10%
✖Vessel thickness refers to the thickness of the walls of a pressure vessel, which is a container designed to hold gases or liquids at a pressure significantly different from the ambient pressure.ⓘ Vessel Thickness [t_vessel]			+10% -10%
✖Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel.ⓘ Vessel Shell Outer Diameter [D_o]			+10% -10%
✖Length of Shell refers to the dimension of the cylindrical body of a pressure vessel, which is the main structural component that contains the fluid or gas under pressure.ⓘ Length of Shell [L]			+10% -10%

✖Critical External Pressure is the maximum pressure that a vessel or pipe can withstand without collapsing under an external load.ⓘ Shell Thickness for Critical External Pressure [p_c]

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Formula

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Shell Thickness for Critical External Pressure

Formula

`"p"_{"c"} = (2.42*"E")/(1-("u")^(2))^(3/4)*(("t"_{"vessel"}/"D"_{"o"})^(5/2)/(("L"/"D"_{"o"})-0.45*("t"_{"vessel"}/"D"_{"o"})^(1/2)))`

Example

`"319.5295N/mm²"=(2.42*"170000N/mm²")/(1-("0.3")^(2))^(3/4)*(("12mm"/"550mm")^(5/2)/(("90mm"/"550mm")-0.45*("12mm"/"550mm")^(1/2)))`

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Shell Thickness for Critical External Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical External Pressure = (2.42*Modulus of Elasticity Jacketed Reaction Vessel)/(1-(Poisson Ratio)^(2))^(3/4)*((Vessel Thickness/Vessel Shell Outer Diameter)^(5/2)/((Length of Shell/Vessel Shell Outer Diameter)-0.45*(Vessel Thickness/Vessel Shell Outer Diameter)^(1/2)))
p_c = (2.42*E)/(1-(u)^(2))^(3/4)*((t_vessel/D_o)^(5/2)/((L/D_o)-0.45*(t_vessel/D_o)^(1/2)))
This formula uses 6 Variables

Variables Used

Critical External Pressure - (Measured in Newton per Square Millimeter) - Critical External Pressure is the maximum pressure that a vessel or pipe can withstand without collapsing under an external load.
Modulus of Elasticity Jacketed Reaction Vessel - (Measured in Newton per Square Millimeter) - Modulus of Elasticity Jacketed Reaction Vessel refers to the measure of the vessel's ability to deform elastically under an applied load.
Poisson Ratio - Poisson ratio is defined as the deformation of a material in directions perpendicular to the direction of loading.
Vessel Thickness - (Measured in Millimeter) - Vessel thickness refers to the thickness of the walls of a pressure vessel, which is a container designed to hold gases or liquids at a pressure significantly different from the ambient pressure.
Vessel Shell Outer Diameter - (Measured in Millimeter) - Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel.
Length of Shell - (Measured in Millimeter) - Length of Shell refers to the dimension of the cylindrical body of a pressure vessel, which is the main structural component that contains the fluid or gas under pressure.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity Jacketed Reaction Vessel: 170000 Newton per Square Millimeter --> 170000 Newton per Square Millimeter No Conversion Required
Poisson Ratio: 0.3 --> No Conversion Required
Vessel Thickness: 12 Millimeter --> 12 Millimeter No Conversion Required
Vessel Shell Outer Diameter: 550 Millimeter --> 550 Millimeter No Conversion Required
Length of Shell: 90 Millimeter --> 90 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_c = (2.42*E)/(1-(u)^(2))^(3/4)*((t_vessel/D_o)^(5/2)/((L/D_o)-0.45*(t_vessel/D_o)^(1/2))) --> (2.42*170000)/(1-(0.3)^(2))^(3/4)*((12/550)^(5/2)/((90/550)-0.45*(12/550)^(1/2)))

Evaluating ... ...

p_c = 319.529548485639

STEP 3: Convert Result to Output's Unit

319529548.485639 Pascal -->319.529548485639 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

319.529548485639 ≈ 319.5295 Newton per Square Millimeter <-- Critical External Pressure

(Calculation completed in 00.004 seconds)

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< 21 Jacketed Reaction Vessel Calculators

Total Axial Stress in Vessel Shell

Go Total Axial Stress = ((Internal Pressure in Vessel*Internal Diameter of Shell)/(4*Shell Thickness*Joint Efficiency for Shell))+((Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Shell Thickness*Joint Efficiency for Shell))+(2*Maximum difference between Coil and Shell Pressure*(Outer Diameter of Half Coil)^(2))/(3*Shell Thickness^(2))

Maximum Equivalent Stress at Junction with Shell

Go Maximum Equivalent Stress at Junction with Shell = (sqrt((Total Axial Stress)^(2)+(Total Hoop Stress)^(2)+(Maximum Hoop Stress in Coil at Junction with Shell)^(2)-((Total Axial Stress*Total Hoop Stress)+(Total Axial Stress*Maximum Hoop Stress in Coil at Junction with Shell)+(Maximum Hoop Stress in Coil at Junction with Shell*Total Hoop Stress))))

Total Hoop Stress in Shell

Go Total Hoop Stress = (Design Pressure Shell*Internal Diameter of Shell)/(2*Shell Thickness*Joint Efficiency for Shell)+(Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell))

Combined Moment of Inertia of Shell and Stiffener per Unit Length

Go Combined Moment of Inertia of Shell and Stiffener = (Vessel Shell Outer Diameter^(2)*Effective Length Between Stiffeners*(Shell Thickness for Jackted Reaction Vessel+Cross Sectional Area of Stiffening Ring/Effective Length Between Stiffeners)*Allowable Stress for Jacket Material)/(12*Modulus of Elasticity Jacketed Reaction Vessel)

Shell Thickness for Critical External Pressure

Go Critical External Pressure = (2.42*Modulus of Elasticity Jacketed Reaction Vessel)/(1-(Poisson Ratio)^(2))^(3/4)*((Vessel Thickness/Vessel Shell Outer Diameter)^(5/2)/((Length of Shell/Vessel Shell Outer Diameter)-0.45*(Vessel Thickness/Vessel Shell Outer Diameter)^(1/2)))

Depth of Torisperical Head

Go Depth of Head = Crown Radius for Jacketed Reaction Vessel-sqrt((Crown Radius for Jacketed Reaction Vessel-Vessel Shell Outer Diameter/2)*(Crown Radius for Jacketed Reaction Vessel+Vessel Shell Outer Diameter/2-2*Knuckle Radius))

Design of Shell Thickness Subjected to Internal Pressure

Go Shell Thickness for Jackted Reaction Vessel = (Internal Pressure in Vessel*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-(Internal Pressure in Vessel))+Corrosion Allowance

Maximum Axial Stress in Coil at Junction with Shell

Go Maximum Axial Stress in Coil at Junction = (Design Jacket Pressure*Internal Diameter of Half Coil)/((4*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)+(2.5*Shell Thickness*Joint Efficiency for Shell))

Dished Head Thickness

Go Dished Head Thickness = ((Internal Pressure in Vessel*Crown Radius for Jacketed Reaction Vessel*Stress Intensification Factor)/(2*Allowable Stress for Jacket Material*Joint Efficiency for Shell))+Corrosion Allowance

Thickness of Bottom Head subjected to Pressure

Go Head Thickness = 4.4*Crown Radius for Jacketed Reaction Vessel*(3*(1-(Poisson Ratio)^(2)))^(1/4)*sqrt(Internal Pressure in Vessel/(2*Modulus of Elasticity Jacketed Reaction Vessel))

Thickness of Half Coil Jacket

Go Thickness of Half Coil Jacket = (Design Jacket Pressure*Internal Diameter of Half Coil)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell))+Corrosion Allowance

Thickness of Jacket Shell for Internal Pressure

Go Required Thickness of Jacket = (Design Jacket Pressure*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-Design Jacket Pressure)

Channel Jacket Thickness

Go Channel Wall Thickness = Design Length of Channel Section*(sqrt((0.12*Design Jacket Pressure)/(Allowable Stress for Jacket Material)))+Corrosion Allowance

Maximum Hoop Stress in Coil at Junction with Shell

Go Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)

Vessel Wall Thickness for Channel Type Jacket

Go Vessel Thickness = Design Length of Channel Section*sqrt((0.167*Design Jacket Pressure)/(Allowable Stress for Jacket Material))+Corrosion Allowance

Required Plate Thickness for Dimple Jacket

Go Required Thickness of Dimple Jacket = Maximum Pitch between Steam Weld Centre Lines*sqrt(Design Jacket Pressure/(3*Allowable Stress for Jacket Material))

Required Thickness for Jacket Closer Member with Jacket Width

Go Required Thickness for Jacket Closer Member = 0.886*Jacket Width*sqrt(Design Jacket Pressure/Allowable Stress for Jacket Material)

Length of Shell under Combined Moment of Inertia

Go Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness)

Cross Sectional Area of Stiffening Ring

Go Cross Sectional Area of Stiffening Ring = Width of Stiffener*Thickness of Stiffener

Length of Shell for Jacket

Go Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head

Jacket Width

Go Jacket Width = (Inside Diameter of Jacket-Outer Diameter of Vessel)/2

Shell Thickness for Critical External Pressure Formula

What is Jacketed Reaction Vessel?

A jacketed reaction vessel is a type of vessel used in the process of chemical reactions or mixing substances together under certain conditions. The vessel is typically made of a durable material such as stainless steel or glass and is designed to withstand high temperatures and pressures. The jacket surrounding the vessel is filled with a heating or cooling medium, such as water or oil, to control the temperature of the contents inside the vessel. The jacketed design allows for precise temperature control and uniform heating or cooling of the contents inside the vessel during the reaction process. These vessels are commonly used in chemical, pharmaceutical, and food processing industries.

What is Critical External Pressure?

Critical external pressure refers to the amount of external stress or pressure that a system, organization, or individual can withstand before experiencing a significant negative impact on their operations or well-being. This pressure can come from a variety of sources, including economic, political, social, or environmental factors.The level of critical external pressure that an entity can tolerate depends on a variety of factors, including their resources, resilience, adaptability, and overall health and well-being. When critical external pressure exceeds an entity's capacity to handle it, the entity may experience negative consequences, such as financial losses, decreased productivity, or physical and emotional distress.

How to Calculate Shell Thickness for Critical External Pressure?

Shell Thickness for Critical External Pressure calculator uses Critical External Pressure = (2.42*Modulus of Elasticity Jacketed Reaction Vessel)/(1-(Poisson Ratio)^(2))^(3/4)*((Vessel Thickness/Vessel Shell Outer Diameter)^(5/2)/((Length of Shell/Vessel Shell Outer Diameter)-0.45*(Vessel Thickness/Vessel Shell Outer Diameter)^(1/2))) to calculate the Critical External Pressure, Shell Thickness for Critical External Pressure refers to the minimum thickness required for a vessel to withstand the external pressure without experiencing failure or damage. Critical External Pressure is denoted by p_c symbol.

How to calculate Shell Thickness for Critical External Pressure using this online calculator? To use this online calculator for Shell Thickness for Critical External Pressure, enter Modulus of Elasticity Jacketed Reaction Vessel (E), Poisson Ratio (u), Vessel Thickness (t_vessel), Vessel Shell Outer Diameter (D_o) & Length of Shell (L) and hit the calculate button. Here is how the Shell Thickness for Critical External Pressure calculation can be explained with given input values -> 0.00032 = (2.42*170000000000)/(1-(0.3)^(2))^(3/4)*((0.012/0.55)^(5/2)/((0.09/0.55)-0.45*(0.012/0.55)^(1/2))).

FAQ

What is Shell Thickness for Critical External Pressure?

Shell Thickness for Critical External Pressure refers to the minimum thickness required for a vessel to withstand the external pressure without experiencing failure or damage and is represented as p_c = (2.42*E)/(1-(u)^(2))^(3/4)*((t_vessel/D_o)^(5/2)/((L/D_o)-0.45*(t_vessel/D_o)^(1/2))) or Critical External Pressure = (2.42*Modulus of Elasticity Jacketed Reaction Vessel)/(1-(Poisson Ratio)^(2))^(3/4)*((Vessel Thickness/Vessel Shell Outer Diameter)^(5/2)/((Length of Shell/Vessel Shell Outer Diameter)-0.45*(Vessel Thickness/Vessel Shell Outer Diameter)^(1/2))). Modulus of Elasticity Jacketed Reaction Vessel refers to the measure of the vessel's ability to deform elastically under an applied load, Poisson ratio is defined as the deformation of a material in directions perpendicular to the direction of loading, Vessel thickness refers to the thickness of the walls of a pressure vessel, which is a container designed to hold gases or liquids at a pressure significantly different from the ambient pressure, Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel & Length of Shell refers to the dimension of the cylindrical body of a pressure vessel, which is the main structural component that contains the fluid or gas under pressure.

How to calculate Shell Thickness for Critical External Pressure?

Shell Thickness for Critical External Pressure refers to the minimum thickness required for a vessel to withstand the external pressure without experiencing failure or damage is calculated using Critical External Pressure = (2.42*Modulus of Elasticity Jacketed Reaction Vessel)/(1-(Poisson Ratio)^(2))^(3/4)*((Vessel Thickness/Vessel Shell Outer Diameter)^(5/2)/((Length of Shell/Vessel Shell Outer Diameter)-0.45*(Vessel Thickness/Vessel Shell Outer Diameter)^(1/2))). To calculate Shell Thickness for Critical External Pressure, you need Modulus of Elasticity Jacketed Reaction Vessel (E), Poisson Ratio (u), Vessel Thickness (t_vessel), Vessel Shell Outer Diameter (D_o) & Length of Shell (L). With our tool, you need to enter the respective value for Modulus of Elasticity Jacketed Reaction Vessel, Poisson Ratio, Vessel Thickness, Vessel Shell Outer Diameter & Length 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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