Combined Moment of Inertia of Shell and Stiffener per Unit Length 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%
✖Effective Length Between Stiffeners refers to the distance between adjacent stiffeners or bracing elements that help to prevent buckling or lateral deflection of the member.ⓘ Effective Length Between Stiffeners [L_eff]			+10% -10%
✖Shell Thickness for Jackted Reaction Vessel is the distance through the shell.ⓘ Shell Thickness for Jackted Reaction Vessel [t_{jacketedreaction}]			+10% -10%
✖Cross Sectional Area of Stiffening Ring in a vessel is the area of the ring when viewed in cross-section perpendicular to its axis.ⓘ Cross Sectional Area of Stiffening Ring [A_s]			+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%
✖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%

✖Combined Moment of Inertia of Shell and Stiffener is a measure of the resistance to bending of a composite beam consisting of a cylindrical shell and a series of stiffeners.ⓘ Combined Moment of Inertia of Shell and Stiffener per Unit Length [I_required]

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Combined Moment of Inertia of Shell and Stiffener per Unit Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
I_required = (D_o^(2)*L_eff*(t_{jacketedreaction}+A_s/L_eff)*f_j)/(12*E)
This formula uses 7 Variables

Variables Used

Combined Moment of Inertia of Shell and Stiffener - (Measured in Meter⁴ per Meter) - Combined Moment of Inertia of Shell and Stiffener is a measure of the resistance to bending of a composite beam consisting of a cylindrical shell and a series of stiffeners.
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.
Effective Length Between Stiffeners - (Measured in Millimeter) - Effective Length Between Stiffeners refers to the distance between adjacent stiffeners or bracing elements that help to prevent buckling or lateral deflection of the member.
Shell Thickness for Jackted Reaction Vessel - (Measured in Millimeter) - Shell Thickness for Jackted Reaction Vessel is the distance through the shell.
Cross Sectional Area of Stiffening Ring - (Measured in Square Millimeter) - Cross Sectional Area of Stiffening Ring in a vessel is the area of the ring when viewed in cross-section perpendicular to its axis.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Vessel Shell Outer Diameter: 550 Millimeter --> 550 Millimeter No Conversion Required
Effective Length Between Stiffeners: 330 Millimeter --> 330 Millimeter No Conversion Required
Shell Thickness for Jackted Reaction Vessel: 15 Millimeter --> 15 Millimeter No Conversion Required
Cross Sectional Area of Stiffening Ring: 1640 Square Millimeter --> 1640 Square Millimeter No Conversion Required
Allowable Stress for Jacket Material: 120 Newton per Square Millimeter --> 120 Newton per Square Millimeter No Conversion Required
Modulus of Elasticity Jacketed Reaction Vessel: 170000 Newton per Square Millimeter --> 170000 Newton per Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_required = (D_o^(2)*L_eff*(t_{jacketedreaction}+A_s/L_eff)*f_j)/(12*E) --> (550^(2)*330*(15+1640/330)*120)/(12*170000)

Evaluating ... ...

I_required = 117263.235294118

STEP 3: Convert Result to Output's Unit

117263.235294118 Meter⁴ per Meter -->117263235294118 Millimeter⁴ per Millimeter (Check conversion here)

FINAL ANSWER

117263235294118 ≈ 1.2E+14 Millimeter⁴ per Millimeter <-- Combined Moment of Inertia of Shell and Stiffener

(Calculation completed in 00.009 seconds)

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< Jacketed Reaction Vessel Calculators

Maximum Hoop Stress in Coil at Junction with Shell

LaTeX 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)

Required Plate Thickness for Dimple Jacket

LaTeX 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

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

Jacket Width

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

Combined Moment of Inertia of Shell and Stiffener per Unit Length Formula

LaTeX Go

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 measure of an object's resistance to changes in its rotation. It is the sum of the products of each element of mass of the object with the square of its perpendicular distance from the axis of rotation. The moment of inertia is commonly denoted by the symbol "I" and has units of mass times length squared (kg·m² in the SI system). It plays an important role in various physical phenomena, including rotational motion, torque, and angular momentum.

How to Calculate Combined Moment of Inertia of Shell and Stiffener per Unit Length?

Combined Moment of Inertia of Shell and Stiffener per Unit Length calculator uses 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) to calculate the Combined Moment of Inertia of Shell and Stiffener, Combined Moment of Inertia of Shell and Stiffener per Unit Length is a property that describes the resistance of the section to bending. It is a measure of the distribution of the area of the section around its centroid. Combined Moment of Inertia of Shell and Stiffener is denoted by I_required symbol.

How to calculate Combined Moment of Inertia of Shell and Stiffener per Unit Length using this online calculator? To use this online calculator for Combined Moment of Inertia of Shell and Stiffener per Unit Length, enter Vessel Shell Outer Diameter (D_o), Effective Length Between Stiffeners (L_eff), Shell Thickness for Jackted Reaction Vessel (t_{jacketedreaction}), Cross Sectional Area of Stiffening Ring (A_s), Allowable Stress for Jacket Material (f_j) & Modulus of Elasticity Jacketed Reaction Vessel (E) and hit the calculate button. Here is how the Combined Moment of Inertia of Shell and Stiffener per Unit Length calculation can be explained with given input values -> 1.2E+23 = (0.55^(2)*0.33*(0.015+0.00164/0.33)*120000000)/(12*170000000000).

FAQ

What is Combined Moment of Inertia of Shell and Stiffener per Unit Length?

Combined Moment of Inertia of Shell and Stiffener per Unit Length is a property that describes the resistance of the section to bending. It is a measure of the distribution of the area of the section around its centroid and is represented as I_required = (D_o^(2)*L_eff*(t_{jacketedreaction}+A_s/L_eff)*f_j)/(12*E) or 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). Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel, Effective Length Between Stiffeners refers to the distance between adjacent stiffeners or bracing elements that help to prevent buckling or lateral deflection of the member, Shell Thickness for Jackted Reaction Vessel is the distance through the shell, Cross Sectional Area of Stiffening Ring in a vessel is the area of the ring when viewed in cross-section perpendicular to its axis, Allowable Stress for Jacket Material at Design Temperature is defined as the material failure stress divided by a factor of safety greater than one & Modulus of Elasticity Jacketed Reaction Vessel refers to the measure of the vessel's ability to deform elastically under an applied load.

How to calculate Combined Moment of Inertia of Shell and Stiffener per Unit Length?

Combined Moment of Inertia of Shell and Stiffener per Unit Length is a property that describes the resistance of the section to bending. It is a measure of the distribution of the area of the section around its centroid is calculated using 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). To calculate Combined Moment of Inertia of Shell and Stiffener per Unit Length, you need Vessel Shell Outer Diameter (D_o), Effective Length Between Stiffeners (L_eff), Shell Thickness for Jackted Reaction Vessel (t_{jacketedreaction}), Cross Sectional Area of Stiffening Ring (A_s), Allowable Stress for Jacket Material (f_j) & Modulus of Elasticity Jacketed Reaction Vessel (E). With our tool, you need to enter the respective value for Vessel Shell Outer Diameter, Effective Length Between Stiffeners, Shell Thickness for Jackted Reaction Vessel, Cross Sectional Area of Stiffening Ring, Allowable Stress for Jacket Material & Modulus of Elasticity Jacketed Reaction Vessel 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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