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Shell Thickness for Critical External Pressure Formula

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Critical External Pressure is the maximum pressure that a vessel or pipe can withstand without collapsing under an external load. Check FAQs

p c = \frac{2.42 \cdot E}{{(1 - {(u)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{t vessel}{D o})}^{\frac{5}{2}}}{(\frac{L}{D o}) - 0.45 \cdot {(\frac{t vessel}{D o})}^{\frac{1}{2}}})

p_c - Critical External Pressure?E - Modulus of Elasticity Jacketed Reaction Vessel?u - Poisson Ratio?t_vessel - Vessel Thickness?D_o - Vessel Shell Outer Diameter?L - Length of Shell?

Shell Thickness for Critical External Pressure Example

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Here is how the Shell Thickness for Critical External Pressure equation looks like with Values.

Here is how the Shell Thickness for Critical External Pressure equation looks like with Units.

Here is how the Shell Thickness for Critical External Pressure equation looks like.

319.5295 = \frac{2.42 \cdot 170000}{{(1 - {(0.3)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{12}{550})}^{\frac{5}{2}}}{(\frac{90}{550}) - 0.45 \cdot {(\frac{12}{550})}^{\frac{1}{2}}})

319.5295N/mm² = \frac{2.42 \cdot 170000N/mm²}{{(1 - {(0.3)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{12mm}{550mm})}^{\frac{5}{2}}}{(\frac{90mm}{550mm}) - 0.45 \cdot {(\frac{12mm}{550mm})}^{\frac{1}{2}}})

319.5295 = \frac{2.42 \cdot 170000}{{(1 - {(0.3)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{12}{550})}^{\frac{5}{2}}}{(\frac{90}{550}) - 0.45 \cdot {(\frac{12}{550})}^{\frac{1}{2}}})

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Shell Thickness for Critical External Pressure Solution

Follow our step by step solution on how to calculate Shell Thickness for Critical External Pressure?

FIRST Step Consider the formula

p c = \frac{2.42 \cdot E}{{(1 - {(u)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{t vessel}{D o})}^{\frac{5}{2}}}{(\frac{L}{D o}) - 0.45 \cdot {(\frac{t vessel}{D o})}^{\frac{1}{2}}})

Next Step Substitute values of Variables

∴

p c = \frac{2.42 \cdot 170000N/mm²}{{(1 - {(0.3)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{12mm}{550mm})}^{\frac{5}{2}}}{(\frac{90mm}{550mm}) - 0.45 \cdot {(\frac{12mm}{550mm})}^{\frac{1}{2}}})

Next Step Prepare to Evaluate

∴

p c = \frac{2.42 \cdot 170000}{{(1 - {(0.3)}^{2})}^{\frac{3}{4}}} \cdot (\frac{{(\frac{12}{550})}^{\frac{5}{2}}}{(\frac{90}{550}) - 0.45 \cdot {(\frac{12}{550})}^{\frac{1}{2}}})

Next Step Evaluate

∴

p c = 319529548.485639Pa

Next Step Convert to Output's Unit

∴

p c = 319.529548485639N/mm²

LAST Step Rounding Answer

∴

p c = 319.5295N/mm²

Shell Thickness for Critical External Pressure Formula Elements

Variables

Critical External Pressure

Critical External Pressure is the maximum pressure that a vessel or pipe can withstand without collapsing under an external load.

Symbol: p_c

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Critical External Pressure

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

Poisson Ratio

Poisson ratio is defined as the deformation of a material in directions perpendicular to the direction of loading.

Symbol: u

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson Ratio

Vessel Thickness

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.

Symbol: t_vessel

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Vessel Thickness

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

Length of Shell

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.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Shell

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}

Go Required Plate Thickness for Dimple Jacket

t j (minimum) = Maximum Pitch \cdot \sqrt{\frac{p j}{3 \cdot f j}}

Go Maximum Hoop Stress in Coil at Junction with Shell

f cc = \frac{p j \cdot d i}{2 \cdot t coil \cdot J coil}

How to Evaluate Shell Thickness for Critical External Pressure?

Shell Thickness for Critical External Pressure evaluator uses 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))) to evaluate the Critical External Pressure, Shell Thickness for Critical External Pressure refers to the minimum thickness required for a vessel to withstand the external pressure without experiencing failure or damage. Critical External Pressure is denoted by p_c symbol.

How to evaluate Shell Thickness for Critical External Pressure using this online evaluator? To use this online evaluator for Shell Thickness for Critical External Pressure, enter Modulus of Elasticity Jacketed Reaction Vessel (E), Poisson Ratio (u), Vessel Thickness (t_vessel), Vessel Shell Outer Diameter (D_o) & Length of Shell (L) and hit the calculate button.

FAQs on Shell Thickness for Critical External Pressure

What is the formula to find Shell Thickness for Critical External Pressure?

The formula of Shell Thickness for Critical External Pressure is expressed as 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))). Here is an example- 0.00032 = (2.42*170000000000)/(1-(0.3)^(2))^(3/4)*((0.012/0.55)^(5/2)/((0.09/0.55)-0.45*(0.012/0.55)^(1/2))).

How to calculate Shell Thickness for Critical External Pressure?

With Modulus of Elasticity Jacketed Reaction Vessel (E), Poisson Ratio (u), Vessel Thickness (t_vessel), Vessel Shell Outer Diameter (D_o) & Length of Shell (L) we can find Shell Thickness for Critical External Pressure using the formula - 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))).

Can the Shell Thickness for Critical External Pressure be negative?

No, the Shell Thickness for Critical External Pressure, measured in Pressure cannot be negative.

Which unit is used to measure Shell Thickness for Critical External Pressure?

Shell Thickness for Critical External Pressure is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Shell Thickness for Critical External Pressure can be measured.

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Shell Thickness for Critical External Pressure Formula

Shell Thickness for Critical External Pressure Example

Shell Thickness for Critical External Pressure Solution

Shell Thickness for Critical External Pressure Formula Elements

Other formulas in Jacketed Reaction Vessel category

How to Evaluate Shell Thickness for Critical External Pressure?

FAQs on Shell Thickness for Critical External Pressure

Variable Name