
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. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thinwalled pressure vessels. 

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 thinwalled pressure vessels. 

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. Per. Roarks Formulas for Stress and Strain 

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

Lames Equation Thickwalled Cylinders of Brittle Material, Ends Open or Closed Formula and Calculator 

Thick Walled Cylinder Stress Pressure Vessel Equations and Calculator
Thickwalled 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 If the pressure (p_{i}) is confined at the ends, an axial (longitudinal) stress (σ_{a}) is also developed. It is assumed that the external pressure p_{o} is zero. 

Thickwalled Cylinders of Ductile Material, Closed Ends Clavarino's Formula and Calculator 

Thickwalled Cylinders of Ductile Material, Open Ends Birnie's Formula and Calculator 

ThinWalled Cylinders of Cast Iron With Internal Pressure Formula and Calculator 







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 thinwalled pressure vessels. 

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, q force/unit area; tangential edge support Equation and Calculator.
Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thinwalled pressure vessels. 

Thin Walled Sphere Stress Pressure Vessel Equations and Calculator:
Thinwalled 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 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, 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; 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.
Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thinwalled pressure vessels. 

Any smooth figure of revolution if R_{2} 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 thinwalled pressure vessels. 

Any smooth figure of revolution if R_{2} 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 if R_{2} 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 if R_{2} 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 if R_{2} 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. 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
Spreadsheet Calculator per. Roark's Stress and Strain Formulas, 5th Edition 

ASME BPVC Rules Summary and Overview 

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 B31.12006 

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 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 1.5 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 1.9 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 1.11 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 1.14 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 1.17 Materials per. ASME B16.5 Pipes, Flanges and Flanged Fittings 

ASME Pressure Vessel Code Maximum Allowable Stress Values 

Pressure Vessel Maximum Allowed Out of Circular Form (Roundness) forUnder External Pressure 

ASME Pressure Vessel – Piping, Drums, and Headers Pressure and Wall Thickness Equations and Calculator 

ASME Pressure Vessel Boiler Tubes Thickness Pressure Equation and Calculator 

Thin Cylindrical Shells: Equations and Calculator ASME Pressure Vessel Code 

Thick Cylindrical Shells Equations and Calculator ASME SECTION VIII 

External Pressure Vessel Calculations and Design 

Gas Discharge Rate Atmosphere From a Pressure Vessel 

Geometric Chart Pressure Vessel Components External  Compressive Loadings 

Design Rules for Vacuum Chambers Premium Membership Required 

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 

Pressure Vessel Required Shell Thickness Chart #1 

Pressure Vessel Required Shell Thickness Chart #2 

Thickness of Circumferential Shells Under Internal Pressure 

ASME Pressure Vessel Section I: Dished Heads Equations and Calculator 

Thickness of Ellipsoidal Head Under Internal Pressure 

Stress in Pressure Vessel Flanged or Dished Head Section Seam Equation and Calculator 

Stress in Cylindrical Shell Long Seam Calculator 

Pressure Vessel Cone Stress & Pressure Design 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 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 

Stress in Ellipsoidal Head Seam Equation and Calculator 

FullHemispherical Head Calculator ASME Pressure Vessel Section I 

Pressure Vessel Flanged Dish Head Design Tool Calculator 

Pressure Vessel Torispherical Head Wall and Pressure Calculator 



Thickness of Longitudinal Stressed Shells Under Internal Pressure 

Stress in Cone or Conical Section Seam Equation and Calculator 

Buckling of Partial Cylinder Plate Calculation 

Pressure Vessel Pipe Circumferential Stress (Longitudinal Joints) 

Pressure Vessel Pipe Longitudinal Stress (Circumferential Joints) 

Pressure Vessel Skirt Support for Vertical Column Design Spreadsheet Calculator 

Lifting Lug Design 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 

Pressure Vessel , Thin Wall Longitudinal Stress Equations
Pressure Vessel , Thin Wall Longitudinal Stress Calculator 

Propane Tank (Pressure Vessel) Dimensional and Volume Data Calculator 

Pressure Vessel , Thin Wall Hoop Stress Equations
Pressure Vessel , Thin Wall Hoop Stress Calculator 

Pressure Vessel Nozzle Design Tool Calculator 

Pressure Vessel Nozzle Design Spreadsheet Calculator, Design calculations for pressure vessel nozzle per. UG37, Appendix 110, 17 and div 2. 

Pressure Vessel Nozzle with Repad Design Tool per. ASME VIII1 

Acceptable types of welded nozzle designs and other connections to pressure vessel shells, heads and other geometries. 

Pressure Vessel External Pressure Calculations 

Pressure Vessel Partition Plate Design Spreadsheet Calculator 

Standard Size Steel Pipe Weights Calculator 

Pressure Piping Minimum Wall Thickness Equations and Calculator ASME I and ASMEANSI B31 

Reinforcement Pressure Vessel Wall Thickness Plate Equations and Calculator ASME Pressure Vessel Section VIII 

Xtra Strong (XS) Size Steel Pipe Weights Calculator 

Double Xtra Strong (XXS) Size Steel Pipe Weights Calculator 

Pressure Vessel and Piping Weld Joint Reduction Factor  Weld Joint Corrosion Reduction Factor 

Hydrostatic Pressure Tests Pressure Vessels  ASME Pressure Vessels 

Welding Splice Design of Beam Spreadsheet Calculator 

Floating Head Exchanger Design Spreadsheet Calculator Pressure Vessel AES Type 

Storage Tank Design Spreadsheet Calculator per. API 650 

Tube Sheet Design Spreadsheet Calculator per. API 650 

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 

Vertical Storage Tank Selection Excel Spreadsheet Calculator 

Welded Joint Efficiency Table Recommendations 













Storage Tank Baffle Design Excel Spreadsheet Calculator 

High Density Polyethylene (HDPE) Liners For Steel Pipe Excel Spreadsheet Calculator 

Thermal Relief Load and Pressure Rise Macro Excel Spreadsheet Calculator 





Draining Time for Vertical Tank Formulas and Calculator 



Draining Time for Spherical (Sphere) Tank Formulas and Calculator 

Pressurized Gas Blowout Time Pipeline Excel Spreadsheet Calculator
Mass Flow Rate for Gas Pipeline Blowdown through Hole or Orifice Excel Spreadsheet Calculator 



Carbon Steel and High Yield Strength Pipe FIG. 1727 (GPSA BOOK), Gas Transmission and Distribution Piping, Code for Pressure Piping ANSI B31.81982 (Values apply to A106, API 5LX pipe having the same specified minimum yield strength as shown) 
Misc. Pressure Vessel Applications
