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Depth of Torispherical Head Formula

GoDepth of Elliptical Head Formula

GoDepth of Hemispherical Head Formula

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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. Check FAQs

h o = R co - {(((R co) - (\frac{D o}{2})) \cdot ((R co) + (\frac{D o}{2}) - (2 \cdot R ko)))}^{0.5}

h_o - Height of Formed Head?R_co - Outer Crown Radius of Head?D_o - Outer Shell Diameter?R_ko - Outer Knuckle Radius of Head?

Depth of Torispherical Head Example

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Here is how the Depth of Torispherical Head equation looks like with Values.

Here is how the Depth of Torispherical Head equation looks like with Units.

Here is how the Depth of Torispherical Head equation looks like.

0.0124 = 0.05 - {(((0.05) - (\frac{0.013}{2})) \cdot ((0.05) + (\frac{0.013}{2}) - (2 \cdot 0.012)))}^{0.5}

0.0124m = 0.05m - {(((0.05m) - (\frac{0.013m}{2})) \cdot ((0.05m) + (\frac{0.013m}{2}) - (2 \cdot 0.012m)))}^{0.5}

0.0124 = 0.05 - {(((0.05) - (\frac{0.013}{2})) \cdot ((0.05) + (\frac{0.013}{2}) - (2 \cdot 0.012)))}^{0.5}

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Depth of Torispherical Head Solution

Follow our step by step solution on how to calculate Depth of Torispherical Head?

FIRST Step Consider the formula

h o = R co - {(((R co) - (\frac{D o}{2})) \cdot ((R co) + (\frac{D o}{2}) - (2 \cdot R ko)))}^{0.5}

Next Step Substitute values of Variables

∴

h o = 0.05m - {(((0.05m) - (\frac{0.013m}{2})) \cdot ((0.05m) + (\frac{0.013m}{2}) - (2 \cdot 0.012m)))}^{0.5}

Next Step Prepare to Evaluate

∴

h o = 0.05 - {(((0.05) - (\frac{0.013}{2})) \cdot ((0.05) + (\frac{0.013}{2}) - (2 \cdot 0.012)))}^{0.5}

Next Step Evaluate

∴

h o = 0.0124001329789586m

LAST Step Rounding Answer

∴

h o = 0.0124m

Depth of Torispherical Head Formula Elements

Variables

Height of Formed Head

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.

Symbol: h_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Formed Head

Outer Crown Radius of Head

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).

Symbol: R_co

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Crown Radius of Head

Outer Shell Diameter

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.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Shell Diameter

Outer Knuckle Radius of Head

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.

Symbol: R_ko

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Knuckle Radius of Head

Other Formulas to find Height of Formed Head

Go Depth of Elliptical Head

h o = \frac{D o}{4}

Go Depth of Hemispherical Head

h o = \frac{D o}{2}

Other formulas in Vessel Heads category

Go Thickness of Elliptical Head

t Elliptical = \frac{p \cdot a \cdot W}{2 \cdot F c \cdot η}

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

t Torispherical = \frac{p \cdot R c \cdot (\frac{1}{4} \cdot (3 + {(\frac{R c}{R k})}^{0.5}))}{2 \cdot F c \cdot η}

Go Thickness of Flat Plate Cover or Head

t Flat Plate = (C \cdot D) \cdot ({(\frac{p}{F c})}^{0.5})

Go Stress Intensification Factor using Ratio of Major to Minor Axis

W = (\frac{1}{6}) \cdot (2 + k^{2})

How to Evaluate Depth of Torispherical Head?

Depth of Torispherical Head evaluator 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 evaluate 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 evaluate Depth of Torispherical Head using this online evaluator? To use this online evaluator 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.

FAQs on Depth of Torispherical Head

What is the formula to find Depth of Torispherical Head?

The formula of Depth of Torispherical Head is expressed as 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. Here is an example- 0.0124 = 0.05-(((0.05)-(0.013/2))*((0.05)+(0.013/2)-(2*0.012)))^0.5.

How to calculate Depth of Torispherical Head?

With Outer Crown Radius of Head (R_co), Outer Shell Diameter (D_o) & Outer Knuckle Radius of Head (R_ko) we can find Depth of Torispherical Head using the formula - 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.

What are the other ways to Calculate Height of Formed Head?

Here are the different ways to Calculate Height of Formed Head-

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

Can the Depth of Torispherical Head be negative?

No, the Depth of Torispherical Head, measured in Length cannot be negative.

Which unit is used to measure Depth of Torispherical Head?

Depth of Torispherical Head is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Torispherical Head can be measured.

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Depth of Torispherical Head Formula

​GoDepth of Elliptical Head Formula

​GoDepth of Hemispherical Head Formula

Depth of Torispherical Head Example

Depth of Torispherical Head Solution

Depth of Torispherical Head Formula Elements

Other Formulas to find Height of Formed Head

Other formulas in Vessel Heads category

How to Evaluate Depth of Torispherical Head?

FAQs on Depth of Torispherical Head

Variable Name

GoDepth of Elliptical Head Formula

GoDepth of Hemispherical Head Formula