Depth of Torispherical Head Calculator

✖Outer Crown Radius of Head is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown (drip-line).ⓘ Outer Crown Radius of Head [R_co]			+10% -10%
✖Outer Shell Diameter is that linear measurement taken on the cylinder and solid mass between exactly opposite points on the convex surface across the diameter.ⓘ Outer Shell Diameter [D_o]			+10% -10%
✖Outer Knuckle Radius of Head is torispherical dome the surface obtained from the intersection of a spherical cap with a tangent torus and the radius of the torus is called the knuckle radius.ⓘ Outer Knuckle Radius of Head [R_ko]			+10% -10%

✖Height of Formed Head is a type of plain head or plain formed head which is used for horizontal cylindrical storage vessel /shell operating under atmospheric pressure.ⓘ Depth of Torispherical Head [h_o]

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Formula

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Depth of Torispherical Head

Formula

`"h"_{"o"} = "R"_{"co"}-((("R"_{"co"})-("D"_{"o"}/2))*(("R"_{"co"})+("D"_{"o"}/2)-(2*"R"_{"ko"})))^0.5`

Example

`"0.0124m"="0.05m"-((("0.05m")-("0.013m"/2))*(("0.05m")+("0.013m"/2)-(2*"0.012m")))^0.5`

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Download Design of Vessels Subjected to Internal Pressure Formula PDF

Depth of Torispherical Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
h_o = R_co-(((R_co)-(D_o/2))*((R_co)+(D_o/2)-(2*R_ko)))^0.5
This formula uses 4 Variables

Variables Used

Height of Formed Head - (Measured in Meter) - Height of Formed Head is a type of plain head or plain formed head which is used for horizontal cylindrical storage vessel /shell operating under atmospheric pressure.
Outer Crown Radius of Head - (Measured in Meter) - Outer Crown Radius of Head is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown (drip-line).
Outer Shell Diameter - (Measured in Meter) - Outer Shell Diameter is that linear measurement taken on the cylinder and solid mass between exactly opposite points on the convex surface across the diameter.
Outer Knuckle Radius of Head - (Measured in Meter) - Outer Knuckle Radius of Head is torispherical dome the surface obtained from the intersection of a spherical cap with a tangent torus and the radius of the torus is called the knuckle radius.

STEP 1: Convert Input(s) to Base Unit

Outer Crown Radius of Head: 0.05 Meter --> 0.05 Meter No Conversion Required
Outer Shell Diameter: 0.013 Meter --> 0.013 Meter No Conversion Required
Outer Knuckle Radius of Head: 0.012 Meter --> 0.012 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_o = R_co-(((R_co)-(D_o/2))*((R_co)+(D_o/2)-(2*R_ko)))^0.5 --> 0.05-(((0.05)-(0.013/2))*((0.05)+(0.013/2)-(2*0.012)))^0.5

Evaluating ... ...

h_o = 0.0124001329789586

STEP 3: Convert Result to Output's Unit

0.0124001329789586 Meter --> No Conversion Required

FINAL ANSWER

0.0124001329789586 ≈ 0.0124 Meter <-- Height of Formed Head

(Calculation completed in 00.004 seconds)

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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

Depth of Torispherical Head Formula

What are Torispherical Heads?

These heads have a dish with a fixed radius (r1), the size of which depends on the type of torispherical head. The transition between the cylinder and the dish is called the knuckle. The knuckle has a toroidal shape.

How to Calculate Depth of Torispherical Head?

Depth of Torispherical Head calculator uses 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 to calculate the Height of Formed Head, The Depth of Torispherical Head formula is defined as the heads which have a dish with a fixed radius (r1), the size of which depends on the type of torispherical head, it is half the diameter. Height of Formed Head is denoted by h_o symbol.

How to calculate Depth of Torispherical Head using this online calculator? To use this online calculator for Depth of Torispherical Head, enter Outer Crown Radius of Head (R_co), Outer Shell Diameter (D_o) & Outer Knuckle Radius of Head (R_ko) and hit the calculate button. Here is how the Depth of Torispherical Head calculation can be explained with given input values -> 0.0124 = 0.05-(((0.05)-(0.013/2))*((0.05)+(0.013/2)-(2*0.012)))^0.5.

FAQ

What is Depth of Torispherical Head?

The Depth of Torispherical Head formula is defined as the heads which have a dish with a fixed radius (r1), the size of which depends on the type of torispherical head, it is half the diameter and is represented as h_o = R_co-(((R_co)-(D_o/2))*((R_co)+(D_o/2)-(2*R_ko)))^0.5 or 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. Outer Crown Radius of Head is the horizontal distance, as seen in plan view, from the trunk of a tree to the edge of the crown (drip-line), Outer Shell Diameter is that linear measurement taken on the cylinder and solid mass between exactly opposite points on the convex surface across the diameter & Outer Knuckle Radius of Head is torispherical dome the surface obtained from the intersection of a spherical cap with a tangent torus and the radius of the torus is called the knuckle radius.

How to calculate Depth of Torispherical Head?

The Depth of Torispherical Head formula is defined as the heads which have a dish with a fixed radius (r1), the size of which depends on the type of torispherical head, it is half the diameter is calculated using 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. To calculate Depth of Torispherical Head, you need Outer Crown Radius of Head (R_co), Outer Shell Diameter (D_o) & Outer Knuckle Radius of Head (R_ko). With our tool, you need to enter the respective value for Outer Crown Radius of Head, Outer Shell Diameter & Outer Knuckle Radius of Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Formed Head?

In this formula, Height of Formed Head uses Outer Crown Radius of Head, Outer Shell Diameter & Outer Knuckle Radius of Head. We can use 2 other way(s) to calculate the same, which is/are as follows -

Height of Formed Head = Outer Shell Diameter/4
Height of Formed Head = Outer Shell Diameter/2

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