Effective Thickness of Conical Head Calculator

✖Thickness of Conical Head is the distance through conical head.ⓘ Thickness of Conical Head [t_ch]			+10% -10%
✖Apex Angle is the angle between the lines that define the apex which is pointed tip of a cone.ⓘ Apex Angle [A]			+10% -10%

✖Effective Thickness of the slab that carries a constant stress distribution σmax equal to the maximum value of the actual stress distribution σ.ⓘ Effective Thickness of Conical Head [t_e]

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Formula

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Effective Thickness of Conical Head

Formula

`"t"_{"e"} = "t"_{"ch"}*(cos("A"))`

Example

`"1.575966m"="3m"*(cos("45rad"))`

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Effective Thickness of Conical Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Thickness = Thickness of Conical Head*(cos(Apex Angle))
t_e = t_ch*(cos(A))
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Effective Thickness - (Measured in Meter) - Effective Thickness of the slab that carries a constant stress distribution σmax equal to the maximum value of the actual stress distribution σ.
Thickness of Conical Head - (Measured in Meter) - Thickness of Conical Head is the distance through conical head.
Apex Angle - (Measured in Radian) - Apex Angle is the angle between the lines that define the apex which is pointed tip of a cone.

STEP 1: Convert Input(s) to Base Unit

Thickness of Conical Head: 3 Meter --> 3 Meter No Conversion Required
Apex Angle: 45 Radian --> 45 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_e = t_ch*(cos(A)) --> 3*(cos(45))

Evaluating ... ...

t_e = 1.57596596645319

STEP 3: Convert Result to Output's Unit

1.57596596645319 Meter --> No Conversion Required

FINAL ANSWER

1.57596596645319 ≈ 1.575966 Meter <-- Effective Thickness

(Calculation completed in 00.020 seconds)

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< 17 Design of Pressure Vessel Subjected to Internal Pressure Calculators

Coefficient Value for Thickness of Flange

Go Coefficient Value for Thickness of Flange = ((1)/((0.3)+(1.5*Maximum Bolt Loads*Radial Distance)/(Hydrostatic End Force in Gasket Seal*Diameter of Gasket at Load Reaction)))

Gasket Factor

Go Gasket Factor = (Total Fastener Force-Inside Area of Gasket*Test Pressure)/(Gasket Area*Test Pressure)

Longitudinal Stress (Axial Stress) in Cylindrical Shell

Go Longitudinal Stress for Cylindrical Shell = (Internal Pressure given Longitudinal Stress*Mean Diameter of Shell)/4*Thickness of Cylindrical Shell

Internal Presure of Vessel given Longitudinal Stress

Go Internal Pressure given Longitudinal Stress = (4*Longitudinal Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)

Wall Thickness of Pressure Vessel given Longitudinal Stress

Go Thickness of Shell for Longitudinal Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/(4*Longitudinal Stress)

Wall Thickness of Cylindrical Shell Given Hoop Stress

Go Thickness of Shell for Hoop Stress = (2*Internal Pressure given Hoop Stress*Mean Diameter of Shell)/Circumferential Stress

Internal Pressure of Cylindrical Vessel given Hoop Stress

Go Internal Pressure given Hoop Stress = (2*Circumferential Stress*Thickness of Cylindrical Shell)/(Mean Diameter of Shell)

Circumferential Stress (Hoop Stress) in Cylinderical Shell

Go Circumferential Stress = (Internal Pressure for Vessel*Mean Diameter of Shell)/2*Thickness of Cylindrical Shell

Maximum Bolt Spacing

Go Maximum Bolt Spacing = 2*Nominal Bolt Diameter+(6*Thickness of Flange/Gasket Factor+0.5)

Hydrostatic End Force using Design Pressure

Go Hydrostatic End Force = (pi/4)*(Radial Distance^2)*Internal Pressure

Diameter of Gasket at Load Reaction

Go Diameter of Gasket at Load Reaction = Outside Diameter of Gasket-2*Effective Gasket Seating Width

Effective Thickness of Conical Head

Go Effective Thickness = Thickness of Conical Head*(cos(Apex Angle))

Hoop Strain

Go Hoop Strain = (Final Length-Initial Length)/(Initial Length)

Radial Distance from Gasket Load Reaction to Bolt Circle

Go Radial Distance = (Bolt Circle Diameter-Diameter of Gasket at Load Reaction)/2

Bolt Circle Diameter

Go Bolt Circle Diameter = Outside Diameter of Gasket+(2*Nominal Bolt Diameter)+12

Outside Diameter of Flange using Bolt Diameter

Go Outside Flange Diameter = Bolt Circle Diameter+2*Nominal Bolt Diameter+12

Minimum Bolt Spacing

Go Minimum Bolt Spacing = 2.5*Nominal Bolt Diameter

Effective Thickness of Conical Head Formula

Effective Thickness = Thickness of Conical Head*(cos(Apex Angle))
t_e = t_ch*(cos(A))

What is Head?

A head is one of the end caps on a cylindrically shaped pressure vessel. Vessel dished ends are mostly used in storage or pressure vessels in industry. These ends, which in upright vessels are the bottom and the top, use less space than a hemisphere (which is the ideal form for pressure containments) while requiring only a slightly thicker wall.

How to Calculate Effective Thickness of Conical Head?

Effective Thickness of Conical Head calculator uses Effective Thickness = Thickness of Conical Head*(cos(Apex Angle)) to calculate the Effective Thickness, The Effective Thickness of Conical Head formula is defined as the thickness of the head that carries a constant stress distribution σmax equal to the maximum value of the actual stress distribution σ. Effective Thickness is denoted by t_e symbol.

How to calculate Effective Thickness of Conical Head using this online calculator? To use this online calculator for Effective Thickness of Conical Head, enter Thickness of Conical Head (t_ch) & Apex Angle (A) and hit the calculate button. Here is how the Effective Thickness of Conical Head calculation can be explained with given input values -> 2.12132 = 3*(cos(0.785398163397301)).

FAQ

What is Effective Thickness of Conical Head?

The Effective Thickness of Conical Head formula is defined as the thickness of the head that carries a constant stress distribution σmax equal to the maximum value of the actual stress distribution σ and is represented as t_e = t_ch*(cos(A)) or Effective Thickness = Thickness of Conical Head*(cos(Apex Angle)). Thickness of Conical Head is the distance through conical head & Apex Angle is the angle between the lines that define the apex which is pointed tip of a cone.

How to calculate Effective Thickness of Conical Head?

The Effective Thickness of Conical Head formula is defined as the thickness of the head that carries a constant stress distribution σmax equal to the maximum value of the actual stress distribution σ is calculated using Effective Thickness = Thickness of Conical Head*(cos(Apex Angle)). To calculate Effective Thickness of Conical Head, you need Thickness of Conical Head (t_ch) & Apex Angle (A). With our tool, you need to enter the respective value for Thickness of Conical Head & Apex Angle 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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