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Thickness of Bottom Head subjected to Pressure Formula

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Head Thickness is the distance through an object, as distinct from width or height. Check FAQs

t h = 4.4 \cdot R c \cdot {(3 \cdot (1 - {(u)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{p}{2 \cdot E}}

t_h - Head Thickness?R_c - Crown Radius for Jacketed Reaction Vessel?u - Poisson Ratio?p - Internal Pressure in Vessel?E - Modulus of Elasticity Jacketed Reaction Vessel?

Thickness of Bottom Head subjected to Pressure Example

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Here is how the Thickness of Bottom Head subjected to Pressure equation looks like with Values.

Here is how the Thickness of Bottom Head subjected to Pressure equation looks like with Units.

Here is how the Thickness of Bottom Head subjected to Pressure equation looks like.

9.7993 = 4.4 \cdot 1401 \cdot {(3 \cdot (1 - {(0.3)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{0.52}{2 \cdot 170000}}

9.7993mm = 4.4 \cdot 1401mm \cdot {(3 \cdot (1 - {(0.3)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{0.52N/mm²}{2 \cdot 170000N/mm²}}

9.7993 = 4.4 \cdot 1401 \cdot {(3 \cdot (1 - {(0.3)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{0.52}{2 \cdot 170000}}

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Thickness of Bottom Head subjected to Pressure Solution

Follow our step by step solution on how to calculate Thickness of Bottom Head subjected to Pressure?

FIRST Step Consider the formula

t h = 4.4 \cdot R c \cdot {(3 \cdot (1 - {(u)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{p}{2 \cdot E}}

Next Step Substitute values of Variables

∴

t h = 4.4 \cdot 1401mm \cdot {(3 \cdot (1 - {(0.3)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{0.52N/mm²}{2 \cdot 170000N/mm²}}

Next Step Prepare to Evaluate

∴

t h = 4.4 \cdot 1401 \cdot {(3 \cdot (1 - {(0.3)}^{2}))}^{\frac{1}{4}} \cdot \sqrt{\frac{0.52}{2 \cdot 170000}}

Next Step Evaluate

∴

t h = 0.00979926916171982m

Next Step Convert to Output's Unit

∴

t h = 9.79926916171982mm

LAST Step Rounding Answer

∴

t h = 9.7993mm

Thickness of Bottom Head subjected to Pressure Formula Elements

Variables

Functions

Head Thickness

Head Thickness is the distance through an object, as distinct from width or height.

Symbol: t_h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Head Thickness

Crown Radius for Jacketed Reaction Vessel

Crown Radius for Jacketed Reaction Vessel is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown.

Symbol: R_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Crown Radius for 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

Internal Pressure in Vessel

Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: p

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Internal Pressure in Vessel

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

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.

Syntax: sqrt(Number)

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 Thickness of Bottom Head subjected to Pressure?

Thickness of Bottom Head subjected to Pressure evaluator uses 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)) to evaluate the Head Thickness, Thickness of Bottom Head subjected to Pressure vessel refers to the minimum required thickness of the material used to construct the bottom head to withstand the internal pressure exerted by the contents of the vessel. Head Thickness is denoted by t_h symbol.

How to evaluate Thickness of Bottom Head subjected to Pressure using this online evaluator? To use this online evaluator for Thickness of Bottom Head subjected to Pressure, enter Crown Radius for Jacketed Reaction Vessel (R_c), Poisson Ratio (u), Internal Pressure in Vessel (p) & Modulus of Elasticity Jacketed Reaction Vessel (E) and hit the calculate button.

FAQs on Thickness of Bottom Head subjected to Pressure

What is the formula to find Thickness of Bottom Head subjected to Pressure?

The formula of Thickness of Bottom Head subjected to Pressure is expressed as 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)). Here is an example- 9799.269 = 4.4*1.401*(3*(1-(0.3)^(2)))^(1/4)*sqrt(520000/(2*170000000000)).

How to calculate Thickness of Bottom Head subjected to Pressure?

With Crown Radius for Jacketed Reaction Vessel (R_c), Poisson Ratio (u), Internal Pressure in Vessel (p) & Modulus of Elasticity Jacketed Reaction Vessel (E) we can find Thickness of Bottom Head subjected to Pressure using the formula - 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)). This formula also uses Square Root Function function(s).

Can the Thickness of Bottom Head subjected to Pressure be negative?

No, the Thickness of Bottom Head subjected to Pressure, measured in Length cannot be negative.

Which unit is used to measure Thickness of Bottom Head subjected to Pressure?

Thickness of Bottom Head subjected to Pressure is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Bottom Head subjected to Pressure can be measured.

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Thickness of Bottom Head subjected to Pressure Formula

Thickness of Bottom Head subjected to Pressure Example

Thickness of Bottom Head subjected to Pressure Solution

Thickness of Bottom Head subjected to Pressure Formula Elements

Other formulas in Jacketed Reaction Vessel category

How to Evaluate Thickness of Bottom Head subjected to Pressure?

FAQs on Thickness of Bottom Head subjected to Pressure

Variable Name