Pressure Vessel and Cylindrical Structural Design, Formula and Calculators

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Cylindrical Pressure Vessel Uniform Axial Load Equation and Calculator.

Cylindrical Pressure Vessel Uniform Axial Load Equation and Calculator. Per. Roarks Formulas for Stress and Strain

Cylindrical Pressure Vessel Uniform Radial Load Equation and Calculator

Cylindrical Pressure Vessel Uniform Radial Load Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Cylindrical Pressure Vessel Uniform Internal or External Pressure, Ends Capped Equation and Calculator

Cylindrical Pressure Vessel Uniform Internal or External Pressure, Ends Capped Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Cylinder Linearly Varying Radial Pressure Stress and Deflection Equation and Calculator

Cylinder Linearly Varying Radial Pressure Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain

Cylinder Stress and Deflection by Own Weight Equation and Calculator

Cylinder Stress and Deflection by Own Weight Equation and Calculator. Per. Roarks Formulas for Stress and Strain

Cylinder Stress and Deflection Uniform rotation, ω rad/sec about central axis Equation and Calculator

Cylinder Stress and Deflection Uniform rotation, ω rad/sec about central axis Equation and Calculator. Per. Roarks Formulas for Stress and Strain

Lames Equation Thick-walled Cylinders of Brittle Material
Lames Equation Thick-walled Cylinders of Brittle Material, Ends Open or Closed Formula and Calculator
Thick Walled Cylinder Stress Pressure Vessel Equations and Calculator

Thick Walled Cylinder Stress Pressure Vessel Equations and Calculator

Thick-walled cylinders have application in all sorts of machine elements and will be the basis for the presentation for shrink or press fits.

Axial Stress Thick Wall Cylinder Equations and Calculator
Axial Stress Thick Wall Cylinder Equations and Calculator If the pressure (pi) is confined at the ends, an axial (longitudinal) stress (σa) is also developed. It is assumed that the external pressure po is zero.
Thick-walled Cylinders of Ductile Material, Closed Ends Clavarino's Formula and Calculator
Thick-walled Cylinders of Ductile Material, Closed Ends Clavarino's Formula and Calculator
Birnie's Formula and Calculator
Thick-walled Cylinders of Ductile Material, Open Ends Birnie's Formula and Calculator
Thin-Walled Cylinders of Cast Iron With Internal Pressure Formula and Calculator
Thin-Walled Cylinders of Cast Iron With Internal Pressure Formula and Calculator
Cone Cylinder Stress and Deflection Filled to Depth with Liquid Tangential Edge Support Equation and Calculator
Cone Cylinder Stress and Deflection Filled to Depth with Liquid Tangential Edge Support Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels
Cone Cylinder Stress and Deflection due to own weight at tangential top edge support
Cone Cylinder Stress and Deflection due to own weight at tangential top edge support Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
Cone Cylinder Stress and Deflection by Tangential loading only
Cone Cylinder Stress and Deflection by Tangential loading only; resultant load = P. Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
Cone Cylinder Stress and Deflection by Tangential loading only

Truncated Cone Cylinder Stress and Deflection by Uniform loading on the horizontal projected area; tangential top edge support. Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Cone Cylinder Stress and Deflection by Uniform rotation
Cone Cylinder Stress and Deflection by Uniform rotation, ω rad/s, about central axis Equation and Calculator. Per. Roarks Formulas for Stress and Strain
Spherical Cylinder Stress and Deflection by Uniform internal or external pressure

Spherical Cylinder Stress and Deflection by Uniform internal or external pressure, q force/unit area; tangential edge support Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Thin Walled Sphere Stress Pressure Vessel Equations and Calculator

Thin Walled Sphere Stress Pressure Vessel Equations and Calculator:

Thin-walled vessels are typically either spherical or cylindrical. Other geometries are possible, but their complexity precludes their inclusion in this webpage.

Spherical Cylinder Stress and Deflection

Spherical Cylinder Stress and Deflection Filled to depth d with liquid of density d force/unit volume; tangential edge support Equation and Calculator.

Per. Roarks Formulas for Stress and Strain

Spherical Cylinder Stress and Deflection Own weight,

Spherical Cylinder Stress and Deflection Own weight, δ force/unit volume; tangential top edge support Equation and Calculator.

Per. Roarks Formulas for Stress and Strain

Spherical Cylinder Stress and Deflection Tangential loading only

Spherical Cylinder Stress and Deflection Tangential loading only; resultant load = P Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for membrane stresses

Spherical Cylinder Stress and Deflection Uniform loading, w force/unit area; on the horizontal projected area; tangential top edge support Equation and Calculator.

Spherical Cylinder Stress and Deflection Uniform loading, w force/unit area; on the horizontal projected area; tangential top edge support Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Any smooth figure of revolution

Any smooth figure of revolution if R2 is less than infinity Uniform internal or external pressure, q force/unit area; tangential edge support Stress and Deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.

Any smooth figure of revolution

Any smooth figure of revolution if R2 is less than infinity Stress and Deflection Equation and Calculator.

Filled to depth d with liquid of density δ force / unit volume; tangential edge support. W = weight of liquid contained to a depth y.

Any smooth figure of revolution

Any smooth figure of revolution if R2 is less than infinity Stress and Deflection Equation and Calculator.

Own weight, δ force/unit volume; tangential top edge support. W = weight of vessel below the level y.

Any smooth figure of revolution

Any smooth figure of revolution if R2 is less than infinity Stress and Deflection Equation and Calculator. Tangential Loading Only, resultant load = P, Per. Roarks Formulas for Stress and Strain

Any smooth figure of revolution

Any smooth figure of revolution if R2 is less than infinity Stress and Deflection Equation and Calculator. Uniform loading, w force/unit area, on the horizontal projected area; tangential top edge support Per. Roarks Formulas for Stress and Strain

Toroidal Shell Stress and Deflection Equation and Calculator

Toroidal Shell Stress and Deflection Equation and Calculator. Uniform Internal or External pressure, q force/unit area. Per. Roarks Formulas for Stress and Strain

Flat Plate Circular Analysis and Design Excel Spreadsheet Calculator
Flat Plate Circular Analysis and Design Excel Spreadsheet Calculator

Spreadsheet Calculator per. Roark's Stress and Strain Formulas, 5th Edition
ASME BPVC Rules Summary and Overview
ASME BPVC Rules Summary and Overview
Pipe Stress due to Clamping Force Spreadsheet Calculator
Pipe Stress due to Clamping Force Spreadsheet Calculator

This spreadsheet calculates the a variety of resultant engineering requirments per. Roark's Formulas for Stress and Strain, 7th edition, Table 9.2 Case 1, Pressure Vessel Design Manual, 3rd Edition, ASME B31.1-2006

Pressure Vessel Temperature Ratings for Group 1.1 Materials per. ASME B16.5 Pipes Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.1 Materials per. ASME B16.5 Pipes Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.2 Materials
Pressure Vessel Temperature Ratings for Group 1.2 Materials per. ASME B16.5 Pipes Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.3 Materials per. ASME B16.5 Pipes Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.3 Materials per. ASME B16.5 Pipes Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.4 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.4 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.5 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.5 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.7 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.7 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.9 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.9 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.10 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.10 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.11 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings
Pressure Vessel Temperature Ratings for Group 1.11 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings
Pressure Vessel Temperature Ratings for Group 1.13 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings
Pressure Vessel Temperature Ratings for Group 1.13 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings
Pressure Vessel Temperature Ratings for Group 1.14 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.14 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.15 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.15 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings.
Pressure Vessel Temperature Ratings for Group 1.17 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings
Pressure Vessel Temperature Ratings for Group 1.17 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings

Pressure Vessel

ASME Pressure Vessel Code Maximum Allowable Stress Values
Pressure Vessel Maximum Allowed Out of Circular Form
Pressure Vessel Maximum Allowed Out of Circular Form (Roundness) forUnder External Pressure
ASME Pressure Vessel
ASME Pressure Vessel – Piping, Drums, and Headers Pressure and Wall Thickness Equations and Calculator
Boiler Tubes Thickness Pressure Equation and Calculator
ASME Pressure Vessel Boiler Tubes Thickness Pressure Equation and Calculator
Thin Wall
Thin Cylindrical Shells: Equations and Calculator ASME Pressure Vessel Code
Thick Cylindrical Shells Equations and Calculator ASME SECTION VIII
Thick Cylindrical Shells Equations and Calculator ASME SECTION VIII
External Pressure Vessel Calculations and Design
External Pressure Vessel Calculations and Design
Gas Discharge Rate Atmosphere From a Pressure Vessel
Gas Discharge Rate Atmosphere From a Pressure Vessel
Geometric Chart Pressure Vessel Components External - Compressive Loadings
Geometric Chart Pressure Vessel Components External - Compressive Loadings
Design Rules for Vacuum Chambers
Design Rules for Vacuum Chambers Premium Membership Required
Pressure Vessel Design Calculations Handbook
Pressure Vessel Design Calculations Handbook This pressure vessel design reference book is prepared for the purpose of making formulas, technical data, design and construction methods readily available for the designer, detailer, layoutmen and others dealing with pressure vessels. Premium Membership Required
Stress in Cylindrical Shell Equation and Calculator
Stress in Cylindrical Shell Equation and Calculator
Pressure Vessel Required Shell Thickness Chart #1
Pressure Vessel Required Shell Thickness Chart #1
Pressure Vessel Required Shell Thickness Chart #2
Pressure Vessel Required Shell Thickness Chart #2
Thickness of Circumferential Shells Under Internal Pressure
Thickness of  Circumferential Shells Under Internal Pressure
ASME Pressure Vessel Section I: Dished Heads Equations and Calculator
ASME Pressure Vessel Section I: Dished Heads Equations and Calculator
Thickness of Ellipsoidal Head Under Internal Pressure
Thickness of  Ellipsoidal Head Under Internal Pressure
Stress in Pressure Vessel Flanged or Dished Head Section Seam Equation and Calculator
Stress in Pressure Vessel Flanged or Dished Head Section Seam Equation and Calculator
Stress in Cylindrical Shell Long Seam Calculator
Stress in Cylindrical Shell Long Seam Calculator

Pressure Vessel Cone Geometry Design Calculator

Pressure Vessel Cone Stress & Pressure Design Calculator
Stress in Sphere and Hemispherical Head Seam Equation and Calculator
Stress in Sphere and Hemispherical Head Seam Equation and Calculator
Circular Flat Head with Internal or External Pressure Equation and Calculator
Circular Flat Head with Internal or External Pressure Equation and Calculator
Circular Flat Head Welded with Internal or External Pressure Equation and Calculator
Circular Flat Head Welded with Internal or External Pressure Equation and Calculator
Circular Flat Head Welded with Internal or External Pressure Equation and Calculator
Circular Flat Head Welded with Internal or External Pressure Equation and Calculator
Pressure Vessel Elliptical Head Design
Pressure Vessel Elliptical Head Design
Stress in Ellipsoidal Head Seam Equation and Calculator
Stress in Ellipsoidal Head Seam Equation and Calculator
Full-Hemispherical Head Calculator
Full-Hemispherical Head Calculator ASME Pressure Vessel Section I
Pressure Vessel Flanged Dish Head Design Tool Calculator
Pressure Vessel Flanged Dish Head Design Tool Calculator
Pressure Vessel Torispherical Head Wall
Pressure Vessel Torispherical Head Wall and Pressure Calculator
Dished Head Formulae Equations and Calculator
Thickness of Longitudinal Stressed Shells Under Internal Pressure
Thickness of  Longitudinal Stressed Shells Under Internal Pressure
Stress in Cone or Conical Section Seam Equation and Calculator
Stress in Cone or Conical Section Seam Equation and Calculator
Buckling of Partial Cylinder Plate Calculation
Buckling of Partial Cylinder Plate Calculation

Pressure Vessel Pipe

Pressure Vessel Pipe Circumferential Stress (Longitudinal Joints)
Pressure Vessel Pipe
Pressure Vessel Pipe Longitudinal Stress (Circumferential Joints)
Pressure Vessel Skirt Support for Vertical Column Design Spreadsheet Calculator
Pressure Vessel Skirt Support for Vertical Column Design Spreadsheet Calculator
Lifting Lug Design Spreadsheet Calculator
Lifting Lug Design Spreadsheet Calculator
Weld Weight and Area Spreadsheet Calculator
Weld Weight and Area Spreadsheet Calculator Calculations for Double V, Single V, Compound V, Backing Strip and J groove weld weight and area.
Collar Bolt Flange Pressure Vessel Spreadsheet Calculator
Collar Bolt Flange Pressure Vessel Spreadsheet Calculator
Pressure Vessel , Thin Wall Longitudinal Stress Equations

Pressure Vessel , Thin Wall Longitudinal Stress Equations

Pressure Vessel , Thin Wall Longitudinal Stress Calculator

Propane Tank (Pressure Vessel) Dimensional and Volume Data Calculator
Propane Tank (Pressure Vessel) Dimensional and Volume Data Calculator
Pressure Vessel , Thin Wall Hoop Stress Equations

Pressure Vessel , Thin Wall Hoop Stress Equations

Pressure Vessel , Thin Wall Hoop Stress Calculator

Nozzle Design Calculator
Pressure Vessel Nozzle Design Tool Calculator
Nozzle Design Calculator

Pressure Vessel Nozzle Design Spreadsheet Calculator, Design calculations for pressure vessel nozzle per. UG-37, Appendix 1-10, 1-7 and div 2.

Pressure Vessel Nozzle with Repad Design Tool per. ASME VIII-1
Pressure Vessel Nozzle with Repad Design Tool per. ASME VIII-1
Acceptable types of welded nozzle designs
Acceptable types of welded nozzle designs and other connections to pressure vessel shells, heads and other geometries.
Pressure Vessel External Pressure Calculations
Pressure Vessel External Pressure Calculations
Pressure Vessel Partition Plate Design Spreadsheet Calculator
Pressure Vessel Partition Plate Design Spreadsheet Calculator
Standard Size Steel Pipe Weights Calculator
Standard Size Steel Pipe Weights Calculator
Wall Thickness Chart
Pressure Piping Minimum Wall Thickness Equations and Calculator ASME I and ASME-ANSI B31
Reinforcement Pressure Vessel Wall Thickness Plate Equations and Calculator
Reinforcement Pressure Vessel Wall Thickness Plate Equations and Calculator ASME Pressure Vessel Section VIII
Xtra Strong (XS) Size Steel Pipe Weights Calculator
Xtra Strong (XS) Size Steel Pipe Weights Calculator
Double Xtra Strong (XXS) Size Steel Pipe Weights Calculator
Double Xtra Strong (XXS) Size Steel Pipe Weights Calculator
Weld Joint Reduction Factor
Pressure Vessel and Piping Weld Joint Reduction Factor - Weld Joint Corrosion Reduction Factor
Hydrostatic Pressure Tests Pressure Vessels
Hydrostatic Pressure Tests Pressure Vessels - ASME Pressure Vessels
Welding Splice Design of Beam Spreadsheet Calculator
Welding Splice Design of Beam Spreadsheet Calculator
Floating Head Exchanger Design Spreadsheet Calculator
Floating Head Exchanger Design Spreadsheet Calculator Pressure Vessel AES Type
Storage Tank Design Spreadsheet Calculator per. API 650
Storage Tank Design Spreadsheet Calculator per. API 650
Tube Sheet Design Spreadsheet Calculator per. API 650
Tube Sheet Design Spreadsheet Calculator per. API 650
Pressure vessel Flange Check Design Spreadsheet Calculator
Pressure vessel Flange Check Design Spreadsheet Calculator per. ASME Section VIII Div. 1 & TEMA 9th Edition
Cylindrical Shell Internal and External Pressure Vessel Spreadsheet Calculator
Cylindrical Shell Internal and External Pressure Vessel Spreadsheet Calculator
/excel_calculators/Fluids_Engineering/vertical_storage_tank_selection_15524.htm
Vertical Storage Tank Selection Excel Spreadsheet Calculator
Welded joint efficiency table recommendations
Welded Joint Efficiency Table Recommendations
/excel_calculators/Fluids_Engineering/pressure_loss_basket_tee_style_strainers_15525.htm
3-Stage Propane Refrigeration System Performance Prediction Excel Spreadsheet Calculator
One and Two Phase Control Valve Sizing Macro Enabled Excel Spreadsheet Calculator
Mean Slug Length and Slug Volume in Multiphase Horizontal Pipeline Flow Excel Spreadsheet Calculator
Actual Contaminated Firewater Volume Excel Spreadsheet Calculator
Storage Tank Baffle Design Excel Spreadsheet Calculator
Storage Tank Baffle Design Excel Spreadsheet Calculator
High Density Polyethylene (HDPE) Liners For Steel Pipe Excel Spreadsheet Calculator
High Density Polyethylene (HDPE) Liners For Steel Pipe Excel Spreadsheet Calculator
Thermal Relief Load and Pressure Rise Macro Excel Spreadsheet Calculator
Thermal Relief Load and Pressure Rise Macro Excel Spreadsheet Calculator
Pressure Relief Devices Sizing Macro Excel Spreadsheet Calculator
API Separator Sizing Macro-Enabled Excel Spreadsheet Calculator
Draining Time for Vertical Tank Formulas and Calculator
Draining Time for Vertical Tank Formulas and Calculator
Draining Time for Horizontal Tank Formulas and Calculator
Draining Time for Spherical (Sphere) Tank Formulas and Calculator
Draining Time for Spherical (Sphere) Tank Formulas and Calculator
Mass Flow Rate for Gas Pipeline Blowdown through Hole or Orifice
Pressurized Gas Blowout Time Pipeline Excel Spreadsheet Calculator
Mass Flow Rate for Gas Pipeline Blowdown through Hole or Orifice Excel Spreadsheet Calculator
Heat Loss or Gain From Pipe Excel Spreadsheet Calculator
Carbon Steel and High Yield Strength Pipe
Carbon Steel and High Yield Strength Pipe FIG. 17-27 (GPSA BOOK), Gas Transmission and Distribution Piping, Code for Pressure Piping ANSI B31.8-1982 (Values apply to A106, API 5LX pipe having the same specified minimum yield strength as shown)

Misc. Pressure Vessel Applications