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

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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. Check FAQs

I required = \frac{{D o}^{2} \cdot L eff \cdot (t jacketedreaction + \frac{A s}{L eff}) \cdot f j}{12 \cdot E}

I_required - Combined Moment of Inertia of Shell and Stiffener?D_o - Vessel Shell Outer Diameter?L_eff - Effective Length Between Stiffeners?t_{jacketedreaction} - Shell Thickness for Jackted Reaction Vessel?A_s - Cross Sectional Area of Stiffening Ring?f_j - Allowable Stress for Jacket Material?E - Modulus of Elasticity Jacketed Reaction Vessel?

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

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Here is how the Combined Moment of Inertia of Shell and Stiffener per Unit Length equation looks like with Values.

Here is how the Combined Moment of Inertia of Shell and Stiffener per Unit Length equation looks like with Units.

Here is how the Combined Moment of Inertia of Shell and Stiffener per Unit Length equation looks like.

1.2E+14 = \frac{550^{2} \cdot 330 \cdot (15 + \frac{1640}{330}) \cdot 120}{12 \cdot 170000}

1.2E+14mm⁴/mm = \frac{{550mm}^{2} \cdot 330mm \cdot (15mm + \frac{1640mm²}{330mm}) \cdot 120N/mm²}{12 \cdot 170000N/mm²}

1.2E+14 = \frac{550^{2} \cdot 330 \cdot (15 + \frac{1640}{330}) \cdot 120}{12 \cdot 170000}

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

Follow our step by step solution on how to calculate Combined Moment of Inertia of Shell and Stiffener per Unit Length?

FIRST Step Consider the formula

I required = \frac{{D o}^{2} \cdot L eff \cdot (t jacketedreaction + \frac{A s}{L eff}) \cdot f j}{12 \cdot E}

Next Step Substitute values of Variables

∴

I required = \frac{{550mm}^{2} \cdot 330mm \cdot (15mm + \frac{1640mm²}{330mm}) \cdot 120N/mm²}{12 \cdot 170000N/mm²}

Next Step Prepare to Evaluate

∴

I required = \frac{550^{2} \cdot 330 \cdot (15 + \frac{1640}{330}) \cdot 120}{12 \cdot 170000}

Next Step Evaluate

∴

I required = 117263.235294118m⁴/m

Next Step Convert to Output's Unit

∴

I required = 117263235294118mm⁴/mm

LAST Step Rounding Answer

∴

I required = 1.2E+14mm⁴/mm

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

Variables

Combined Moment of Inertia of Shell and Stiffener

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.

Symbol: I_required

Measurement: Moment of Inertia per Unit LengthUnit: mm⁴/mm

Note: Value should be greater than 0.

Formulas to find Combined Moment of Inertia of Shell and Stiffener

Vessel Shell Outer Diameter

Vessel Shell Outer Diameter refers to the outermost dimension of the cylindrical shell of a vessel, such as a tank or pressure vessel.

Symbol: D_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Vessel Shell Outer Diameter

Effective Length Between Stiffeners

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.

Symbol: L_eff

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length Between Stiffeners

Shell Thickness for Jackted Reaction Vessel

Shell Thickness for Jackted Reaction Vessel is the distance through the shell.

Symbol: t_{jacketedreaction}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness for Jackted Reaction Vessel

Cross Sectional Area of Stiffening Ring

Cross Sectional Area of Stiffening Ring in a vessel is the area of the ring when viewed in cross-section perpendicular to its axis.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Stiffening Ring

Allowable Stress for Jacket Material

Allowable Stress for Jacket Material at Design Temperature is defined as the material failure stress divided by a factor of safety greater than one.

Symbol: f_j

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Allowable Stress for Jacket Material

Modulus of Elasticity Jacketed Reaction Vessel

Modulus of Elasticity Jacketed Reaction Vessel refers to the measure of the vessel's ability to deform elastically under an applied load.

Symbol: E

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Jacketed Reaction Vessel

Other formulas in Jacketed Reaction Vessel category

Go Required Thickness for Jacket Closer Member with Jacket Width

t rc = 0.886 \cdot w j \cdot \sqrt{\frac{p j}{f j}}

Go Jacket Width

w j = \frac{D ij - OD Vessel}{2}

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

Combined Moment of Inertia of Shell and Stiffener per Unit Length evaluator 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 evaluate 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 evaluate Combined Moment of Inertia of Shell and Stiffener per Unit Length using this online evaluator? To use this online evaluator 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.

FAQs on Combined Moment of Inertia of Shell and Stiffener per Unit Length

What is the formula to find Combined Moment of Inertia of Shell and Stiffener per Unit Length?

The formula of Combined Moment of Inertia of Shell and Stiffener per Unit Length is expressed as 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). Here is an example- 1.2E+23 = (0.55^(2)*0.33*(0.015+0.00164/0.33)*120000000)/(12*170000000000).

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

With 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) we can find Combined Moment of Inertia of Shell and Stiffener per Unit Length using the formula - 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).

Can the Combined Moment of Inertia of Shell and Stiffener per Unit Length be negative?

No, the Combined Moment of Inertia of Shell and Stiffener per Unit Length, measured in Moment of Inertia per Unit Length cannot be negative.

Which unit is used to measure Combined Moment of Inertia of Shell and Stiffener per Unit Length?

Combined Moment of Inertia of Shell and Stiffener per Unit Length is usually measured using the Millimeter⁴ per Millimeter[mm⁴/mm] for Moment of Inertia per Unit Length. Meter⁴ per Meter[mm⁴/mm], Centimeter⁴ per Micrometer[mm⁴/mm], Centimeter⁴ per Centimeter[mm⁴/mm] are the few other units in which Combined Moment of Inertia of Shell and Stiffener per Unit Length can be measured.

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

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

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

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

Other formulas in Jacketed Reaction Vessel category

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

FAQs on Combined Moment of Inertia of Shell and Stiffener per Unit Length

Variable Name