Thickness of Bottom Head subjected to Pressure Formula

Fx Copy
LaTeX Copy
Head Thickness is the distance through an object, as distinct from width or height. Check FAQs
th=4.4Rc(3(1-(u)2))14p2E
th - Head Thickness?Rc - 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

With values
With units
Only example

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.

9.7993Edit=4.41401Edit(3(1-(0.3Edit)2))140.52Edit2170000Edit
You are here -
HomeIcon Home » Category Engineering » Category Chemical Engineering » Category Process Equipment Design » fx Thickness of Bottom Head subjected to Pressure

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
th=4.4Rc(3(1-(u)2))14p2E
Next Step Substitute values of Variables
th=4.41401mm(3(1-(0.3)2))140.52N/mm²2170000N/mm²
Next Step Prepare to Evaluate
th=4.41401(3(1-(0.3)2))140.522170000
Next Step Evaluate
th=0.00979926916171982m
Next Step Convert to Output's Unit
th=9.79926916171982mm
LAST Step Rounding Answer
th=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: th
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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: Rc
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
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.
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.
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
trc=0.886wjpjfj
​Go Jacket Width
wj=Dij-ODVessel2
​Go Required Plate Thickness for Dimple Jacket
tj (minimum)=MaximumPitchpj3fj
​Go Maximum Hoop Stress in Coil at Junction with Shell
fcc=pjdi2tcoilJcoil

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 th 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 (Rc), 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 (Rc), 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 (sqrt) 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.
Copied!