Total Axial Stress in Vessel Shell Calculator

✖Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.ⓘ Internal Pressure in Vessel [p]			+10% -10%
✖Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.ⓘ Internal Diameter of Shell [D_i]			+10% -10%
✖Shell thickness is the the distance through the shell.ⓘ Shell Thickness [t]			+10% -10%
✖Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank.ⓘ Joint Efficiency for Shell [J]			+10% -10%
✖Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.ⓘ Design Jacket Pressure [p_j]			+10% -10%
✖Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.ⓘ Internal Diameter of Half Coil [d_i]			+10% -10%
✖Maximum difference between Coil and Shell Pressure is the difference in pressure intensities at two different points in a liquid.ⓘ Maximum difference between Coil and Shell Pressure [Δp]			+10% -10%
✖Outer Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.ⓘ Outer Diameter of Half Coil [d_o]			+10% -10%

✖The Total Axial Stress in the Vessel formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel.ⓘ Total Axial Stress in Vessel Shell [f_as]

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Formula

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Total Axial Stress in Vessel Shell

Formula

f as = (\frac{p \cdot D i}{4 \cdot t \cdot J}) + (\frac{p j \cdot d i}{2 \cdot t \cdot J}) + \frac{2 \cdot Δp \cdot {(d o)}^{2}}{3 \cdot t^{2}}

Example

1.188542 N/mm² = (\frac{0.52 N/mm² \cdot 1500 mm}{4 \cdot 200 mm \cdot 0.85}) + (\frac{0.105 N/mm² \cdot 54 mm}{2 \cdot 200 mm \cdot 0.85}) + \frac{2 \cdot 0.4 N/mm² \cdot {(61 mm)}^{2}}{3 \cdot {200 mm}^{2}}

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Total Axial Stress in Vessel Shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Axial Stress = ((Internal Pressure in Vessel*Internal Diameter of Shell)/(4*Shell Thickness*Joint Efficiency for Shell))+((Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Shell Thickness*Joint Efficiency for Shell))+(2*Maximum difference between Coil and Shell Pressure*(Outer Diameter of Half Coil)^(2))/(3*Shell Thickness^(2))
f_as = ((p*D_i)/(4*t*J))+((p_j*d_i)/(2*t*J))+(2*Δp*(d_o)^(2))/(3*t^(2))
This formula uses 9 Variables

Variables Used

Total Axial Stress - (Measured in Newton per Square Millimeter) - The Total Axial Stress in the Vessel formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel.
Internal Pressure in Vessel - (Measured in Newton per Square Millimeter) - Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.
Internal Diameter of Shell - (Measured in Millimeter) - Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.
Shell Thickness - (Measured in Millimeter) - Shell thickness is the the distance through the shell.
Joint Efficiency for Shell - Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank.
Design Jacket Pressure - (Measured in Newton per Square Millimeter) - Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions.
Internal Diameter of Half Coil - (Measured in Millimeter) - Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.
Maximum difference between Coil and Shell Pressure - (Measured in Newton per Square Millimeter) - Maximum difference between Coil and Shell Pressure is the difference in pressure intensities at two different points in a liquid.
Outer Diameter of Half Coil - (Measured in Millimeter) - Outer Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.

STEP 1: Convert Input(s) to Base Unit

Internal Pressure in Vessel: 0.52 Newton per Square Millimeter --> 0.52 Newton per Square Millimeter No Conversion Required
Internal Diameter of Shell: 1500 Millimeter --> 1500 Millimeter No Conversion Required
Shell Thickness: 200 Millimeter --> 200 Millimeter No Conversion Required
Joint Efficiency for Shell: 0.85 --> No Conversion Required
Design Jacket Pressure: 0.105 Newton per Square Millimeter --> 0.105 Newton per Square Millimeter No Conversion Required
Internal Diameter of Half Coil: 54 Millimeter --> 54 Millimeter No Conversion Required
Maximum difference between Coil and Shell Pressure: 0.4 Newton per Square Millimeter --> 0.4 Newton per Square Millimeter No Conversion Required
Outer Diameter of Half Coil: 61 Millimeter --> 61 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_as = ((p*D_i)/(4*t*J))+((p_j*d_i)/(2*t*J))+(2*Δp*(d_o)^(2))/(3*t^(2)) --> ((0.52*1500)/(4*200*0.85))+((0.105*54)/(2*200*0.85))+(2*0.4*(61)^(2))/(3*200^(2))

Evaluating ... ...

f_as = 1.18854196078431

STEP 3: Convert Result to Output's Unit

1188541.96078431 Pascal -->1.18854196078431 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

1.18854196078431 ≈ 1.188542 Newton per Square Millimeter <-- Total Axial Stress

(Calculation completed in 00.004 seconds)

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< Jacketed Reaction Vessel Calculators

Maximum Hoop Stress in Coil at Junction with Shell

Go Maximum Hoop Stress in Coil at Junction with Shell = (Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Thickness of Half Coil Jacket*Weld Joint Efficiency Factor for Coil)

Required Plate Thickness for Dimple Jacket

Go Required Thickness of Dimple Jacket = Maximum Pitch between Steam Weld Centre Lines*sqrt(Design Jacket Pressure/(3*Allowable Stress for Jacket Material))

Required Thickness for Jacket Closer Member with Jacket Width

Go Required Thickness for Jacket Closer Member = 0.886*Jacket Width*sqrt(Design Jacket Pressure/Allowable Stress for Jacket Material)

Jacket Width

Go Jacket Width = (Inside Diameter of Jacket-Outer Diameter of Vessel)/2

Total Axial Stress in Vessel Shell Formula

What is Design Stress?

Stress is a physical quantity. It is a quantity that describes the magnitude of forces that cause deformation. Stress is defined as force per unit area. When an object is pulled apart by a force it will cause elongation which is also known as deformation, like the stretching of an elastic band, it is called tensile stress. But, when the forces result in the compression of an object, it is called compressive stress.

How to Calculate Total Axial Stress in Vessel Shell?

Total Axial Stress in Vessel Shell calculator uses Total Axial Stress = ((Internal Pressure in Vessel*Internal Diameter of Shell)/(4*Shell Thickness*Joint Efficiency for Shell))+((Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Shell Thickness*Joint Efficiency for Shell))+(2*Maximum difference between Coil and Shell Pressure*(Outer Diameter of Half Coil)^(2))/(3*Shell Thickness^(2)) to calculate the Total Axial Stress, Total Axial Stress in Vessel Shell formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel. Total Axial Stress is denoted by f_as symbol.

How to calculate Total Axial Stress in Vessel Shell using this online calculator? To use this online calculator for Total Axial Stress in Vessel Shell, enter Internal Pressure in Vessel (p), Internal Diameter of Shell (D_i), Shell Thickness (t), Joint Efficiency for Shell (J), Design Jacket Pressure (p_j), Internal Diameter of Half Coil (d_i), Maximum difference between Coil and Shell Pressure (Δp) & Outer Diameter of Half Coil (d_o) and hit the calculate button. Here is how the Total Axial Stress in Vessel Shell calculation can be explained with given input values -> 1.2E-6 = ((520000*1.5)/(4*0.2*0.85))+((105000*0.054)/(2*0.2*0.85))+(2*400000*(0.061)^(2))/(3*0.2^(2)).

FAQ

What is Total Axial Stress in Vessel Shell?

Total Axial Stress in Vessel Shell formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel and is represented as f_as = ((p*D_i)/(4*t*J))+((p_j*d_i)/(2*t*J))+(2*Δp*(d_o)^(2))/(3*t^(2)) or Total Axial Stress = ((Internal Pressure in Vessel*Internal Diameter of Shell)/(4*Shell Thickness*Joint Efficiency for Shell))+((Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Shell Thickness*Joint Efficiency for Shell))+(2*Maximum difference between Coil and Shell Pressure*(Outer Diameter of Half Coil)^(2))/(3*Shell Thickness^(2)). Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature, Internal Diameter of Shell is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside, Shell thickness is the the distance through the shell, Joint Efficiency for Shell refers to the effectiveness of the joint between two adjacent sections of a cylindrical shell, such as in a pressure vessel or a storage tank, Design Jacket Pressure refers to a type of pressure vessel designed to withstand high pressures and temperatures, typically used for containing gases or liquids under extreme conditions, Internal Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside, Maximum difference between Coil and Shell Pressure is the difference in pressure intensities at two different points in a liquid & Outer Diameter of Half Coil is a measurement of the distance of a straight line from one point on the inner wall of the object, through its center, to an opposite point also on the inside.

How to calculate Total Axial Stress in Vessel Shell?

Total Axial Stress in Vessel Shell formula is defined as the result of a force acting perpendicular to an area of a vessel, causing the extension or compression of the vessel is calculated using Total Axial Stress = ((Internal Pressure in Vessel*Internal Diameter of Shell)/(4*Shell Thickness*Joint Efficiency for Shell))+((Design Jacket Pressure*Internal Diameter of Half Coil)/(2*Shell Thickness*Joint Efficiency for Shell))+(2*Maximum difference between Coil and Shell Pressure*(Outer Diameter of Half Coil)^(2))/(3*Shell Thickness^(2)). To calculate Total Axial Stress in Vessel Shell, you need Internal Pressure in Vessel (p), Internal Diameter of Shell (D_i), Shell Thickness (t), Joint Efficiency for Shell (J), Design Jacket Pressure (p_j), Internal Diameter of Half Coil (d_i), Maximum difference between Coil and Shell Pressure (Δp) & Outer Diameter of Half Coil (d_o). With our tool, you need to enter the respective value for Internal Pressure in Vessel, Internal Diameter of Shell, Shell Thickness, Joint Efficiency for Shell, Design Jacket Pressure, Internal Diameter of Half Coil, Maximum difference between Coil and Shell Pressure & Outer Diameter of Half Coil 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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