Thickness of Jacket Shell for Internal Pressure Calculator

✖Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.ⓘ Design Jacket Pressure [p_j]			+10% -10%
✖Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.ⓘ Internal Diameter of Shell [D_i]			+10% -10%
✖Allowable Stress for Jacket Material at Design Temperature is defined as the material failure stress divided by a factor of safety greater than one.ⓘ Allowable Stress for Jacket Material [f_j]			+10% -10%
✖Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank.ⓘ Joint Efficiency for Shell [J]			+10% -10%

✖Required Thickness of Jacket refers to the thickness of the outer shell of a vessel that surrounds the main vessel and is used to provide heating or cooling to the contents of the vessel.ⓘ Thickness of Jacket Shell for Internal Pressure [t_rj]

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Formula

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Thickness of Jacket Shell for Internal Pressure

Formula

`"t"_{"rj"} = ("p"_{"j"}*"D"_{"i"})/((2*"f"_{"j"}*"J")-"p"_{"j"})`

Example

`"0.772456mm"=("0.105N/mm²"*"1500mm")/((2*"120N/mm²"*"0.85")-"0.105N/mm²")`

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Thickness of Jacket Shell for Internal Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Required Thickness of Jacket = (Design Jacket Pressure*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-Design Jacket Pressure)
t_rj = (p_j*D_i)/((2*f_j*J)-p_j)
This formula uses 5 Variables

Variables Used

Required Thickness of Jacket - (Measured in Millimeter) - Required Thickness of Jacket refers to the thickness of the outer shell of a vessel that surrounds the main vessel and is used to provide heating or cooling to the contents of the vessel.
Design Jacket Pressure - (Measured in Newton per Square Millimeter) - Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.
Internal Diameter of Shell - (Measured in Millimeter) - Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.
Allowable Stress for Jacket Material - (Measured in Newton per Square Millimeter) - Allowable Stress for Jacket Material at Design Temperature is defined as the material failure stress divided by a factor of safety greater than one.
Joint Efficiency for Shell - Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank.

STEP 1: Convert Input(s) to Base Unit

Design Jacket Pressure: 0.105 Newton per Square Millimeter --> 0.105 Newton per Square Millimeter No Conversion Required
Internal Diameter of Shell: 1500 Millimeter --> 1500 Millimeter No Conversion Required
Allowable Stress for Jacket Material: 120 Newton per Square Millimeter --> 120 Newton per Square Millimeter No Conversion Required
Joint Efficiency for Shell: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_rj = (p_j*D_i)/((2*f_j*J)-p_j) --> (0.105*1500)/((2*120*0.85)-0.105)

Evaluating ... ...

t_rj = 0.772456411388215

STEP 3: Convert Result to Output's Unit

0.000772456411388215 Meter -->0.772456411388215 Millimeter (Check conversion here)

FINAL ANSWER

0.772456411388215 ≈ 0.772456 Millimeter <-- Required Thickness of Jacket

(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

Thickness of Jacket Shell for Internal Pressure Formula

What is Design Thickness?

Design thickness is a term used in structural engineering to refer to the thickness of a structural element (such as a beam, column, or plate) that has been calculated or specified based on the design requirements of the structure. The design thickness is the thickness that has been calculated or specified based on the structural requirements of the beam and the strength and deformability of the soil or foundation on which the beam will be supported. The design thickness of a bottom plate is typically determined by a structural engineer or using structural engineering software, and is used to ensure that the bottom plate is able to safely carry the loads that will be applied to it during the life of the structure.

How to Calculate Thickness of Jacket Shell for Internal Pressure?

Thickness of Jacket Shell for Internal Pressure calculator uses Required Thickness of Jacket = (Design Jacket Pressure*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-Design Jacket Pressure) to calculate the Required Thickness of Jacket, Thickness of Jacket Shell for Internal Pressure formula is defined as the distance from the external part to the internal part of a jacket shell. Required Thickness of Jacket is denoted by t_rj symbol.

How to calculate Thickness of Jacket Shell for Internal Pressure using this online calculator? To use this online calculator for Thickness of Jacket Shell for Internal Pressure, enter Design Jacket Pressure (p_j), Internal Diameter of Shell (D_i), Allowable Stress for Jacket Material (f_j) & Joint Efficiency for Shell (J) and hit the calculate button. Here is how the Thickness of Jacket Shell for Internal Pressure calculation can be explained with given input values -> 772.4564 = (105000*1.5)/((2*120000000*0.85)-105000).

FAQ

What is Thickness of Jacket Shell for Internal Pressure?

Thickness of Jacket Shell for Internal Pressure formula is defined as the distance from the external part to the internal part of a jacket shell and is represented as t_rj = (p_j*D_i)/((2*f_j*J)-p_j) or Required Thickness of Jacket = (Design Jacket Pressure*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-Design Jacket Pressure). Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions, Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside, Allowable Stress for Jacket Material at Design Temperature is defined as the material failure stress divided by a factor of safety greater than one & Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank.

How to calculate Thickness of Jacket Shell for Internal Pressure?

Thickness of Jacket Shell for Internal Pressure formula is defined as the distance from the external part to the internal part of a jacket shell is calculated using Required Thickness of Jacket = (Design Jacket Pressure*Internal Diameter of Shell)/((2*Allowable Stress for Jacket Material*Joint Efficiency for Shell)-Design Jacket Pressure). To calculate Thickness of Jacket Shell for Internal Pressure, you need Design Jacket Pressure (p_j), Internal Diameter of Shell (D_i), Allowable Stress for Jacket Material (f_j) & Joint Efficiency for Shell (J). With our tool, you need to enter the respective value for Design Jacket Pressure, Internal Diameter of Shell, Allowable Stress for Jacket Material & Joint Efficiency for 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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