Length of Shell under Combined Moment of Inertia Calculator

✖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%
✖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%

✖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 under Combined Moment of Inertia [L]

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Formula

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Length of Shell under Combined Moment of Inertia

Formula

`"L" = 1.1*sqrt("D"_{"o"}*"t"_{"vessel"})`

Example

`"89.36442mm"=1.1*sqrt("550mm"*"12mm")`

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Length of Shell under Combined Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness)
L = 1.1*sqrt(D_o*t_vessel)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Vessel Shell Outer Diameter: 550 Millimeter --> 550 Millimeter No Conversion Required
Vessel Thickness: 12 Millimeter --> 12 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 1.1*sqrt(D_o*t_vessel) --> 1.1*sqrt(550*12)

Evaluating ... ...

L = 89.3644224509956

STEP 3: Convert Result to Output's Unit

0.0893644224509956 Meter -->89.3644224509956 Millimeter (Check conversion here)

FINAL ANSWER

89.3644224509956 ≈ 89.36442 Millimeter <-- Length of Shell

(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

Length of Shell under Combined Moment of Inertia Formula

Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness)
L = 1.1*sqrt(D_o*t_vessel)

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 Moment of Inertia?

Moment of inertia is a physical property of a body that describes how resistant it is to rotational motion around a particular axis. It is a measure of the distribution of mass within the body, and depends on the shape and size of the object. The moment of inertia is often denoted by the symbol I and has units of kg·m^2 in the SI system. It is a scalar quantity, meaning that it has a magnitude but no direction. However, it is important to note that the moment of inertia depends on the axis of rotation, so it is necessary to specify the axis when discussing its value.

How to Calculate Length of Shell under Combined Moment of Inertia?

Length of Shell under Combined Moment of Inertia calculator uses Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness) to calculate the Length of Shell, The Length of Shell under Combined Moment of Inertia that describes the effective length of a cylindrical or spherical shell when it is subject to both bending and torsion. Length of Shell is denoted by L symbol.

How to calculate Length of Shell under Combined Moment of Inertia using this online calculator? To use this online calculator for Length of Shell under Combined Moment of Inertia, enter Vessel Shell Outer Diameter (D_o) & Vessel Thickness (t_vessel) and hit the calculate button. Here is how the Length of Shell under Combined Moment of Inertia calculation can be explained with given input values -> 89364.42 = 1.1*sqrt(0.55*0.012).

FAQ

What is Length of Shell under Combined Moment of Inertia?

The Length of Shell under Combined Moment of Inertia that describes the effective length of a cylindrical or spherical shell when it is subject to both bending and torsion and is represented as L = 1.1*sqrt(D_o*t_vessel) or Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness). Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel & 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.

How to calculate Length of Shell under Combined Moment of Inertia?

The Length of Shell under Combined Moment of Inertia that describes the effective length of a cylindrical or spherical shell when it is subject to both bending and torsion is calculated using Length of Shell = 1.1*sqrt(Vessel Shell Outer Diameter*Vessel Thickness). To calculate Length of Shell under Combined Moment of Inertia, you need Vessel Shell Outer Diameter (D_o) & Vessel Thickness (t_vessel). With our tool, you need to enter the respective value for Vessel Shell Outer Diameter & Vessel Thickness 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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