Thickness of Elliptical Head Calculator

✖Internal Design Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Design Pressure [p]			+10% -10%
✖Major Axis of Ellipse is the line segment that crosses both the focal points of the ellipse.ⓘ Major Axis of Ellipse [a]			+10% -10%
✖Stress Intensification Factor (SIF) is a multiplier factor on nominal stress for typical bends and intersection components so that the effect of geometry and welding.ⓘ Stress Intensification Factor [W]			+10% -10%
✖Design stress is the stress in which the factor of safety can be incurred.ⓘ Design Stress [F_c]			+10% -10%
✖Joint efficiency is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.ⓘ Joint Efficiency [η]			+10% -10%

✖Thickness of Elliptical Heads are usually found at the ends of an equipment, top or bottom for vertical vessels and left right for horizontal vessels.ⓘ Thickness of Elliptical Head [t_Elliptical]

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Formula

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Thickness of Elliptical Head

Formula

`"t"_{"Elliptical"} = ("p"*"a"*"W")/(2*"F"_{"c"}*"η")`

Example

`"33189.66m"=("0.7N/mm²"*"11m"*"20")/(2*"1160N/m²"*"2")`

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Download Design of Vessels Subjected to Internal Pressure Formula PDF PDF Image

Thickness of Elliptical Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency)
t_Elliptical = (p*a*W)/(2*F_c*η)
This formula uses 6 Variables

Variables Used

Thickness of Elliptical Head - (Measured in Meter) - Thickness of Elliptical Heads are usually found at the ends of an equipment, top or bottom for vertical vessels and left right for horizontal vessels.
Internal Design Pressure - (Measured in Pascal) - Internal Design Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Major Axis of Ellipse - (Measured in Meter) - Major Axis of Ellipse is the line segment that crosses both the focal points of the ellipse.
Stress Intensification Factor - Stress Intensification Factor (SIF) is a multiplier factor on nominal stress for typical bends and intersection components so that the effect of geometry and welding.
Design Stress - (Measured in Pascal) - Design stress is the stress in which the factor of safety can be incurred.
Joint Efficiency - Joint efficiency is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.

STEP 1: Convert Input(s) to Base Unit

Internal Design Pressure: 0.7 Newton per Square Millimeter --> 700000 Pascal (Check conversion here)
Major Axis of Ellipse: 11 Meter --> 11 Meter No Conversion Required
Stress Intensification Factor: 20 --> No Conversion Required
Design Stress: 1160 Newton per Square Meter --> 1160 Pascal (Check conversion here)
Joint Efficiency: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_Elliptical = (p*a*W)/(2*F_c*η) --> (700000*11*20)/(2*1160*2)

Evaluating ... ...

t_Elliptical = 33189.6551724138

STEP 3: Convert Result to Output's Unit

33189.6551724138 Meter --> No Conversion Required

FINAL ANSWER

33189.6551724138 ≈ 33189.66 Meter <-- Thickness of Elliptical Head

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Pressure Vessels » Design of Vessels Subjected to Internal Pressure » Vessel Heads » Thickness of Elliptical Head

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< 7 Vessel Heads Calculators

Depth of Torispherical Head

Go Height of Formed Head = Outer Crown Radius of Head-(((Outer Crown Radius of Head)-(Outer Shell Diameter/2))*((Outer Crown Radius of Head)+(Outer Shell Diameter/2)-(2*Outer Knuckle Radius of Head)))^0.5

Thickness of Shallow dished and Standard dished (Torishperical) Head

Go Thickess of Torishperical Head = (Internal Design Pressure*Crown Radius*(1/4*(3+(Crown Radius/Knuckle Radius)^0.5)))/(2*Design Stress*Joint Efficiency)

Thickness of Elliptical Head

Go Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency)

Thickness of Flat Plate Cover or Head

Go Thickness of Flat Plate Head = (Edge Fixity Constant*Diameter of Plate)*((Internal Design Pressure/Design Stress)^0.5)

Stress Intensification Factor using Ratio of Major to Minor Axis

Go Stress Intensification Factor = (1/6)*(2+Ratio of Major to Minor Axis^2)

Depth of Hemispherical Head

Go Height of Formed Head = Outer Shell Diameter/2

Depth of Elliptical Head

Go Height of Formed Head = Outer Shell Diameter/4

Thickness of Elliptical Head Formula

Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency)
t_Elliptical = (p*a*W)/(2*F_c*η)

What is Elliptical?

The adjective elliptical refers to the shape of an ellipse, which is an elongated circle, stretched into an oval.

How to Calculate Thickness of Elliptical Head?

Thickness of Elliptical Head calculator uses Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency) to calculate the Thickness of Elliptical Head, Thickness of Elliptical Head refers to the shape of an ellipse, which is an elongated circle, stretched into an oval. Thickness of Elliptical Head is denoted by t_Elliptical symbol.

How to calculate Thickness of Elliptical Head using this online calculator? To use this online calculator for Thickness of Elliptical Head, enter Internal Design Pressure (p), Major Axis of Ellipse (a), Stress Intensification Factor (W), Design Stress (F_c) & Joint Efficiency (η) and hit the calculate button. Here is how the Thickness of Elliptical Head calculation can be explained with given input values -> 33189.66 = (700000*11*20)/(2*1160*2).

FAQ

What is Thickness of Elliptical Head?

Thickness of Elliptical Head refers to the shape of an ellipse, which is an elongated circle, stretched into an oval and is represented as t_Elliptical = (p*a*W)/(2*F_c*η) or Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency). Internal Design Pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Major Axis of Ellipse is the line segment that crosses both the focal points of the ellipse, Stress Intensification Factor (SIF) is a multiplier factor on nominal stress for typical bends and intersection components so that the effect of geometry and welding, Design stress is the stress in which the factor of safety can be incurred & Joint efficiency is a factor required in all head and shell calculations that accounts for how closely a finished weld joint.

How to calculate Thickness of Elliptical Head?

Thickness of Elliptical Head refers to the shape of an ellipse, which is an elongated circle, stretched into an oval is calculated using Thickness of Elliptical Head = (Internal Design Pressure*Major Axis of Ellipse*Stress Intensification Factor)/(2*Design Stress*Joint Efficiency). To calculate Thickness of Elliptical Head, you need Internal Design Pressure (p), Major Axis of Ellipse (a), Stress Intensification Factor (W), Design Stress (F_c) & Joint Efficiency (η). With our tool, you need to enter the respective value for Internal Design Pressure, Major Axis of Ellipse, Stress Intensification Factor, Design Stress & Joint Efficiency 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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