Thickness of Shallow dished and Standard dished (Torishperical) 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%
✖Crown Radius is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown.ⓘ Crown Radius [R_c]			+10% -10%
✖Knuckle Radius is the radius of the torus.ⓘ Knuckle Radius [R_k]			+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%

✖Thickess of Torishperical Head is the surface obtained from the intersection of a spherical cap with a tangent torus.ⓘ Thickness of Shallow dished and Standard dished (Torishperical) Head [t_{Torispherical}]

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Formula

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Thickness of Shallow dished and Standard dished (Torishperical) Head

Formula

`"t"_{"Torispherical"} = ("p"*"R"_{"c"}*(1/4*(3+("R"_{"c"}/"R"_{"k"})^0.5)))/(2*"F"_{"c"}*"η")`

Example

`"347.639m"=("0.7N/mm²"*"1.4m"*(1/4*(3+("1.4m"/"0.109m")^0.5)))/(2*"1160N/m²"*"2")`

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Download Design of Vessels Subjected to Internal Pressure Formula PDF

Thickness of Shallow dished and Standard dished (Torishperical) Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickess of Torishperical Head = (Internal Design Pressure*Crown Radius*(1/4*(3+(Crown Radius/Knuckle Radius)^0.5)))/(2*Design Stress*Joint Efficiency)
t_{Torispherical} = (p*R_c*(1/4*(3+(R_c/R_k)^0.5)))/(2*F_c*η)
This formula uses 6 Variables

Variables Used

Thickess of Torishperical Head - (Measured in Meter) - Thickess of Torishperical Head is the surface obtained from the intersection of a spherical cap with a tangent torus.
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.
Crown Radius - (Measured in Meter) - Crown Radius is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown.
Knuckle Radius - (Measured in Meter) - Knuckle Radius is the radius of the torus.
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)
Crown Radius: 1.4 Meter --> 1.4 Meter No Conversion Required
Knuckle Radius: 0.109 Meter --> 0.109 Meter 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_{Torispherical} = (p*R_c*(1/4*(3+(R_c/R_k)^0.5)))/(2*F_c*η) --> (700000*1.4*(1/4*(3+(1.4/0.109)^0.5)))/(2*1160*2)

Evaluating ... ...

t_{Torispherical} = 347.639043073119

STEP 3: Convert Result to Output's Unit

347.639043073119 Meter --> No Conversion Required

FINAL ANSWER

347.639043073119 ≈ 347.639 Meter <-- Thickess of Torishperical Head

(Calculation completed in 00.007 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 Shallow dished and Standard dished (Torishperical) 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 Shallow dished and Standard dished (Torishperical) Head Formula

What is Pressure Vessel?

A pressure vessel is a container designed to hold gases or liquids at a pressure substantially different from the ambient pressure.

How to Calculate Thickness of Shallow dished and Standard dished (Torishperical) Head?

Thickness of Shallow dished and Standard dished (Torishperical) Head calculator uses Thickess of Torishperical Head = (Internal Design Pressure*Crown Radius*(1/4*(3+(Crown Radius/Knuckle Radius)^0.5)))/(2*Design Stress*Joint Efficiency) to calculate the Thickess of Torishperical Head, Thickness of Shallow Dished and Standard Dished (Torishperical) Head is the surface obtained from the intersection of a spherical cap with a tangent torus. Thickess of Torishperical Head is denoted by t_{Torispherical} symbol.

How to calculate Thickness of Shallow dished and Standard dished (Torishperical) Head using this online calculator? To use this online calculator for Thickness of Shallow dished and Standard dished (Torishperical) Head, enter Internal Design Pressure (p), Crown Radius (R_c), Knuckle Radius (R_k), Design Stress (F_c) & Joint Efficiency (η) and hit the calculate button. Here is how the Thickness of Shallow dished and Standard dished (Torishperical) Head calculation can be explained with given input values -> 347.639 = (700000*1.4*(1/4*(3+(1.4/0.109)^0.5)))/(2*1160*2).

FAQ

What is Thickness of Shallow dished and Standard dished (Torishperical) Head?

Thickness of Shallow Dished and Standard Dished (Torishperical) Head is the surface obtained from the intersection of a spherical cap with a tangent torus and is represented as t_{Torispherical} = (p*R_c*(1/4*(3+(R_c/R_k)^0.5)))/(2*F_c*η) or Thickess of Torishperical Head = (Internal Design Pressure*Crown Radius*(1/4*(3+(Crown Radius/Knuckle Radius)^0.5)))/(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, Crown Radius is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown, Knuckle Radius is the radius of the torus, 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 Shallow dished and Standard dished (Torishperical) Head?

Thickness of Shallow Dished and Standard Dished (Torishperical) Head is the surface obtained from the intersection of a spherical cap with a tangent torus is calculated using Thickess of Torishperical Head = (Internal Design Pressure*Crown Radius*(1/4*(3+(Crown Radius/Knuckle Radius)^0.5)))/(2*Design Stress*Joint Efficiency). To calculate Thickness of Shallow dished and Standard dished (Torishperical) Head, you need Internal Design Pressure (p), Crown Radius (R_c), Knuckle Radius (R_k), Design Stress (F_c) & Joint Efficiency (η). With our tool, you need to enter the respective value for Internal Design Pressure, Crown Radius, Knuckle Radius, 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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