Axial Bending Stress in Vessel Wall for Unit Width Calculator

✖Axial bending moment refers to a type of load or stress that occurs in a structure when both axial force and bending moment are applied simultaneously.ⓘ Axial Bending Moment [M]			+10% -10%
✖Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.ⓘ Effective Width of Horizontal Plate [a]			+10% -10%
✖The vessel shell thickness refers to the thickness of the cylindrical or spherical shell that makes up the body of a pressure vessel.ⓘ Vessel Shell Thickness [t]			+10% -10%

✖Axial Bending Stress induced in Vessel Wall refers to the stress that is generated in a pipe or a pressure vessel, when it is subjected to both axial force and bending moment.ⓘ Axial Bending Stress in Vessel Wall for Unit Width [f_a]

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Axial Bending Stress in Vessel Wall for Unit Width

Formula

`"f"_{"a"} = (6*"M"*"a")/"t"^(2)`

Example

`"1.241445N/mm²"=(6*"600112.8N*mm"*"102mm")/("17.2mm")^(2)`

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Axial Bending Stress in Vessel Wall for Unit Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)
f_a = (6*M*a)/t^(2)
This formula uses 4 Variables

Variables Used

Axial Bending Stress induced in Vessel Wall - (Measured in Pascal) - Axial Bending Stress induced in Vessel Wall refers to the stress that is generated in a pipe or a pressure vessel, when it is subjected to both axial force and bending moment.
Axial Bending Moment - (Measured in Newton Meter) - Axial bending moment refers to a type of load or stress that occurs in a structure when both axial force and bending moment are applied simultaneously.
Effective Width of Horizontal Plate - (Measured in Meter) - Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length.
Vessel Shell Thickness - (Measured in Meter) - The vessel shell thickness refers to the thickness of the cylindrical or spherical shell that makes up the body of a pressure vessel.

STEP 1: Convert Input(s) to Base Unit

Axial Bending Moment: 600112.8 Newton Millimeter --> 600.1128 Newton Meter (Check conversion here)
Effective Width of Horizontal Plate: 102 Millimeter --> 0.102 Meter (Check conversion here)
Vessel Shell Thickness: 17.2 Millimeter --> 0.0172 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_a = (6*M*a)/t^(2) --> (6*600.1128*0.102)/0.0172^(2)

Evaluating ... ...

f_a = 1241444.81341266

STEP 3: Convert Result to Output's Unit

1241444.81341266 Pascal -->1.24144481341266 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

1.24144481341266 ≈ 1.241445 Newton per Square Millimeter <-- Axial Bending Stress induced in Vessel Wall

(Calculation completed in 00.004 seconds)

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< 14 Lug or Bracket Support Calculators

Maximum Combined Stress on Long Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Maximum Compressive Load acting on Bracket

Go Maximum Compressive Load on Remote Bracket = ((4*(Total Wind Force acting on Vessel))*(Height of Vessel above Foundation-Clearance between Vessel Bottom and Foundation))/(Number of Brackets*Diameter of Anchor Bolt Circle)+(Total Weight of Vessel/Number of Brackets)

Thickness of Horizontal Plate Fixed at Edges

Go Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5)

Maximum Combined Stress on Short Column

Go Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Minimum Thickness of Base Plate

Go Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5)

Thickness of Gusset Plate

Go Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))

Bending Stress in Column due to Wind Load

Go Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Vessel Support

Maximum Compressive Stress Parallel to Edge of Gusset Plate

Go Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))

Pressure Intensity on under side of Base Plate

Go Pressure Intensity on Under Side of Base Plate = Axial Compressive Load on Column/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Maximum Pressure on Horizontal Plate

Go Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Axial Bending Stress in Vessel Wall for Unit Width

Go Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)

Minimum Area by Base Plate

Go Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete

Maximum Compressive Stress

Go Maximum Compressive Stress = Stress due to Bending Moment+Compressive Stress due to Force

Maximum Compressive Load on Remote Bracket due to Dead Load

Go Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets

Axial Bending Stress in Vessel Wall for Unit Width Formula

Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)
f_a = (6*M*a)/t^(2)

What is Vessel Support in Process Equipment Design?

In equipment design, vessel support refers to the structural support provided to vessels or tanks used in various industrial processes. Vessels or tanks are used to store or transport various types of materials such as liquids, gases, and solids in industries such as chemical, petrochemical, pharmaceutical, and food processing.The design of vessel support in equipment design must comply with various standards and codes, such as the American Petroleum Institute (API) standards, American Society of Mechanical Engineers (ASME) codes, and other international standards. The vessel support design must also be approved by regulatory bodies, such as local or national authorities, before construction or installation can begin.Overall, vessel support in equipment design is a critical aspect of industrial processes involving the use of vessels or tanks.

What is Bending Moment?

Bending moment refers to the measure of the bending or flexure of a structural member, such as a beam, due to the application of an external force or load. It is the algebraic sum of the moments of all the forces acting on either side of a section of a beam, perpendicular to its longitudinal axis. The bending moment is represented by the symbol "M" and its unit is force times length, such as newton-meter (Nm) or pound-feet (lb-ft). The bending moment is an important factor in the design of structures, as it can cause the member to deform or fail under excessive loads.

How to Calculate Axial Bending Stress in Vessel Wall for Unit Width?

Axial Bending Stress in Vessel Wall for Unit Width calculator uses Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2) to calculate the Axial Bending Stress induced in Vessel Wall, Axial Bending Stress in Vessel Wall for Unit Width is the stress induced due to the combination of axial and bending loads acting on the vessel wall. Axial Bending Stress induced in Vessel Wall is denoted by f_a symbol.

How to calculate Axial Bending Stress in Vessel Wall for Unit Width using this online calculator? To use this online calculator for Axial Bending Stress in Vessel Wall for Unit Width, enter Axial Bending Moment (M), Effective Width of Horizontal Plate (a) & Vessel Shell Thickness (t) and hit the calculate button. Here is how the Axial Bending Stress in Vessel Wall for Unit Width calculation can be explained with given input values -> 1.2E-6 = (6*600.1128*0.102)/0.0172^(2).

FAQ

What is Axial Bending Stress in Vessel Wall for Unit Width?

Axial Bending Stress in Vessel Wall for Unit Width is the stress induced due to the combination of axial and bending loads acting on the vessel wall and is represented as f_a = (6*M*a)/t^(2) or Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2). Axial bending moment refers to a type of load or stress that occurs in a structure when both axial force and bending moment are applied simultaneously, Effective Width of Horizontal Plate refers to the distance across the plate in a direction perpendicular to its length & The vessel shell thickness refers to the thickness of the cylindrical or spherical shell that makes up the body of a pressure vessel.

How to calculate Axial Bending Stress in Vessel Wall for Unit Width?

Axial Bending Stress in Vessel Wall for Unit Width is the stress induced due to the combination of axial and bending loads acting on the vessel wall is calculated using Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2). To calculate Axial Bending Stress in Vessel Wall for Unit Width, you need Axial Bending Moment (M), Effective Width of Horizontal Plate (a) & Vessel Shell Thickness (t). With our tool, you need to enter the respective value for Axial Bending Moment, Effective Width of Horizontal Plate & Vessel Shell Thickness 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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