FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Axial Stress in Vessel Shell Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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}}

f_as - Total Axial Stress?p - Internal Pressure in Vessel?D_i - Internal Diameter of Shell?t - Shell Thickness?J - Joint Efficiency for Shell?p_j - Design Jacket Pressure?d_i - Internal Diameter of Half Coil?Δp - Maximum difference between Coil and Shell Pressure?d_o - Outer Diameter of Half Coil?

Total Axial Stress in Vessel Shell Example

With values

With units

Only example

Here is how the Total Axial Stress in Vessel Shell equation looks like with Values.

Here is how the Total Axial Stress in Vessel Shell equation looks like with Units.

Here is how the Total Axial Stress in Vessel Shell equation looks like.

1.1885 = (\frac{0.52 \cdot 1500}{4 \cdot 200 \cdot 0.85}) + (\frac{0.105 \cdot 54}{2 \cdot 200 \cdot 0.85}) + \frac{2 \cdot 0.4 \cdot {(61)}^{2}}{3 \cdot 200^{2}}

1.1885N/mm² = (\frac{0.52N/mm² \cdot 1500mm}{4 \cdot 200mm \cdot 0.85}) + (\frac{0.105N/mm² \cdot 54mm}{2 \cdot 200mm \cdot 0.85}) + \frac{2 \cdot 0.4N/mm² \cdot {(61mm)}^{2}}{3 \cdot {200mm}^{2}}

1.1885 = (\frac{0.52 \cdot 1500}{4 \cdot 200 \cdot 0.85}) + (\frac{0.105 \cdot 54}{2 \cdot 200 \cdot 0.85}) + \frac{2 \cdot 0.4 \cdot {(61)}^{2}}{3 \cdot 200^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Process Equipment Design » fx Total Axial Stress in Vessel Shell

Total Axial Stress in Vessel Shell Solution

Follow our step by step solution on how to calculate Total Axial Stress in Vessel Shell?

FIRST Step Consider the 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}}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

f as = (\frac{0.52 \cdot 1500}{4 \cdot 200 \cdot 0.85}) + (\frac{0.105 \cdot 54}{2 \cdot 200 \cdot 0.85}) + \frac{2 \cdot 0.4 \cdot {(61)}^{2}}{3 \cdot 200^{2}}

Next Step Evaluate

∴

f as = 1188541.96078431Pa

Next Step Convert to Output's Unit

∴

f as = 1.18854196078431N/mm²

LAST Step Rounding Answer

∴

f as = 1.1885N/mm²

Total Axial Stress in Vessel Shell Formula Elements

Variables

Total Axial Stress

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.

Symbol: f_as

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Total Axial Stress

Internal Pressure in Vessel

Internal Pressure in Vessel is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: p

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Internal Pressure in Vessel

Internal Diameter of Shell

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.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Internal Diameter of Shell

Shell Thickness

Shell thickness is the the distance through the shell.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shell Thickness

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.

Symbol: J

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Joint Efficiency for Shell

Design Jacket Pressure

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.

Symbol: p_j

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Design Jacket Pressure

Internal Diameter of Half Coil

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.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Internal Diameter of Half Coil

Maximum difference between Coil and Shell Pressure

Maximum difference between Coil and Shell Pressure is the difference in pressure intensities at two different points in a liquid.

Symbol: Δp

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum difference between Coil and Shell Pressure

Outer Diameter of Half Coil

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.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Half Coil

Other formulas in Jacketed Reaction Vessel category

Go Required Thickness for Jacket Closer Member with Jacket Width

t rc = 0.886 \cdot w j \cdot \sqrt{\frac{p j}{f j}}

Go Jacket Width

w j = \frac{D ij - OD Vessel}{2}

How to Evaluate Total Axial Stress in Vessel Shell?

Total Axial Stress in Vessel Shell evaluator 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 evaluate 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 evaluate Total Axial Stress in Vessel Shell using this online evaluator? To use this online evaluator 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.

FAQs on Total Axial Stress in Vessel Shell

What is the formula to find Total Axial Stress in Vessel Shell?

The formula of Total Axial Stress in Vessel Shell is expressed as 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)). Here is an example- 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)).

How to calculate Total Axial Stress in Vessel Shell?

With 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) we can find Total Axial Stress in Vessel Shell using the formula - 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)).

Can the Total Axial Stress in Vessel Shell be negative?

No, the Total Axial Stress in Vessel Shell, measured in Stress cannot be negative.

Which unit is used to measure Total Axial Stress in Vessel Shell?

Total Axial Stress in Vessel Shell is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Total Axial Stress in Vessel Shell can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Total Axial Stress in Vessel Shell Formula

Total Axial Stress in Vessel Shell Example

Total Axial Stress in Vessel Shell Solution

Total Axial Stress in Vessel Shell Formula Elements

Other formulas in Jacketed Reaction Vessel category

How to Evaluate Total Axial Stress in Vessel Shell?

FAQs on Total Axial Stress in Vessel Shell

Variable Name