Design of Shell Thickness Subjected to Internal Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
tjacketedreaction = (p*Di)/((2*fj*J)-(p))+c
This formula uses 6 Variables
Variables Used
Shell Thickness for Jackted Reaction Vessel - (Measured in Millimeter) - Shell Thickness for Jackted Reaction Vessel is the distance through the shell.
Internal Pressure in Vessel - (Measured in Newton per Square Millimeter) - Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
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.
Corrosion Allowance - (Measured in Millimeter) - Corrosion allowance is defined as an extra thickness normally added to carbon and low alloy steel to mitigate the CO2 corrosion rate.
STEP 1: Convert Input(s) to Base Unit
Internal Pressure in Vessel: 0.52 Newton per Square Millimeter --> 0.52 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
Corrosion Allowance: 10.5 Millimeter --> 10.5 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tjacketedreaction = (p*Di)/((2*fj*J)-(p))+c --> (0.52*1500)/((2*120*0.85)-(0.52))+10.5
Evaluating ... ...
tjacketedreaction = 14.3333005700806
STEP 3: Convert Result to Output's Unit
0.0143333005700806 Meter -->14.3333005700806 Millimeter (Check conversion ​here)
FINAL ANSWER
14.3333005700806 14.3333 Millimeter <-- Shell Thickness for Jackted Reaction Vessel
(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

Design of Shell Thickness Subjected to Internal Pressure Formula

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
tjacketedreaction = (p*Di)/((2*fj*J)-(p))+c

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 Design of Shell Thickness Subjected to Internal Pressure?

Design of Shell Thickness Subjected to Internal Pressure calculator uses 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 to calculate the Shell Thickness for Jackted Reaction Vessel, The Design of Shell Thickness Subjected to Internal Pressure formula is defined as is the distance from the external part to the internal part of a Shell. Shell Thickness for Jackted Reaction Vessel is denoted by tjacketedreaction symbol.

How to calculate Design of Shell Thickness Subjected to Internal Pressure using this online calculator? To use this online calculator for Design of Shell Thickness Subjected to Internal Pressure, enter Internal Pressure in Vessel (p), Internal Diameter of Shell (Di), Allowable Stress for Jacket Material (fj), Joint Efficiency for Shell (J) & Corrosion Allowance (c) and hit the calculate button. Here is how the Design of Shell Thickness Subjected to Internal Pressure calculation can be explained with given input values -> 14333.3 = (520000*1.5)/((2*120000000*0.85)-(520000))+0.0105.

FAQ

What is Design of Shell Thickness Subjected to Internal Pressure?
The Design of Shell Thickness Subjected to Internal Pressure formula is defined as is the distance from the external part to the internal part of a Shell and is represented as tjacketedreaction = (p*Di)/((2*fj*J)-(p))+c or 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. Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, 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 & Corrosion allowance is defined as an extra thickness normally added to carbon and low alloy steel to mitigate the CO2 corrosion rate.
How to calculate Design of Shell Thickness Subjected to Internal Pressure?
The Design of Shell Thickness Subjected to Internal Pressure formula is defined as is the distance from the external part to the internal part of a Shell is calculated using 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. To calculate Design of Shell Thickness Subjected to Internal Pressure, you need Internal Pressure in Vessel (p), Internal Diameter of Shell (Di), Allowable Stress for Jacket Material (fj), Joint Efficiency for Shell (J) & Corrosion Allowance (c). With our tool, you need to enter the respective value for Internal Pressure in Vessel, Internal Diameter of Shell, Allowable Stress for Jacket Material, Joint Efficiency for Shell & Corrosion Allowance 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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