Length of Shell for Jacket Calculator

✖Length of Straight Side Jacket refers to the length of the cylindrical section of the vessel where the jacket is installed, excluding the height of the heads.ⓘ Length of Straight Side Jacket [L_s]			+10% -10%
✖Depth of Head refers to the vertical distance between the top of the vessel and the liquid level in the vessel when it is filled to its maximum operating capacity.ⓘ Depth of Head [h_o]			+10% -10%

✖The Length of Shell for Jacket refers to the length of the cylindrical portion of the vessel where the jacket is installed.ⓘ Length of Shell for Jacket [L_jacket]

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Formula

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Length of Shell for Jacket

Formula

`"L"_{"jacket"} = "L"_{"s"}+1/3*"h"_{"o"}`

Example

`"520.3333mm"="497mm"+1/3*"70mm"`

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Length of Shell for Jacket Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head
L_jacket = L_s+1/3*h_o
This formula uses 3 Variables

Variables Used

Length of Shell for Jacket - (Measured in Millimeter) - The Length of Shell for Jacket refers to the length of the cylindrical portion of the vessel where the jacket is installed.
Length of Straight Side Jacket - (Measured in Millimeter) - Length of Straight Side Jacket refers to the length of the cylindrical section of the vessel where the jacket is installed, excluding the height of the heads.
Depth of Head - (Measured in Millimeter) - Depth of Head refers to the vertical distance between the top of the vessel and the liquid level in the vessel when it is filled to its maximum operating capacity.

STEP 1: Convert Input(s) to Base Unit

Length of Straight Side Jacket: 497 Millimeter --> 497 Millimeter No Conversion Required
Depth of Head: 70 Millimeter --> 70 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_jacket = L_s+1/3*h_o --> 497+1/3*70

Evaluating ... ...

L_jacket = 520.333333333333

STEP 3: Convert Result to Output's Unit

0.520333333333333 Meter -->520.333333333333 Millimeter (Check conversion here)

FINAL ANSWER

520.333333333333 ≈ 520.3333 Millimeter <-- Length of Shell for Jacket

(Calculation completed in 00.020 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

Length of Shell for Jacket Formula

Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head
L_jacket = L_s+1/3*h_o

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 Design Length?

Design Length refers to the length of a structural element or a machine component that is designed to withstand certain loads or stresses without failure. It is an important factor in engineering design and is determined based on various factors such as the type of material, load conditions, and the strength requirements of the component. In the context of vessels, design length may refer to the overall length of the vessel or the length of specific sections such as the cylindrical or conical parts.

How to Calculate Length of Shell for Jacket?

Length of Shell for Jacket calculator uses Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head to calculate the Length of Shell for Jacket, The Length of Shell for Jacket formula refers to the length of the cylindrical portion of the vessel where the jacket is installed. Length of Shell for Jacket is denoted by L_jacket symbol.

How to calculate Length of Shell for Jacket using this online calculator? To use this online calculator for Length of Shell for Jacket, enter Length of Straight Side Jacket (L_s) & Depth of Head (h_o) and hit the calculate button. Here is how the Length of Shell for Jacket calculation can be explained with given input values -> 520333.3 = 0.497+1/3*0.07.

FAQ

What is Length of Shell for Jacket?

The Length of Shell for Jacket formula refers to the length of the cylindrical portion of the vessel where the jacket is installed and is represented as L_jacket = L_s+1/3*h_o or Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head. Length of Straight Side Jacket refers to the length of the cylindrical section of the vessel where the jacket is installed, excluding the height of the heads & Depth of Head refers to the vertical distance between the top of the vessel and the liquid level in the vessel when it is filled to its maximum operating capacity.

How to calculate Length of Shell for Jacket?

The Length of Shell for Jacket formula refers to the length of the cylindrical portion of the vessel where the jacket is installed is calculated using Length of Shell for Jacket = Length of Straight Side Jacket+1/3*Depth of Head. To calculate Length of Shell for Jacket, you need Length of Straight Side Jacket (L_s) & Depth of Head (h_o). With our tool, you need to enter the respective value for Length of Straight Side Jacket & Depth of Head 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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