Course Contents

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1. Introduction to Design by Analysis
1.1. Pressure Vessel Design Context
1.2. Introduction to Pressure Vessel Design
1.3. DBA and Design Checks
1.4. Comment on the Interaction of Failure Mechanisms
1.5. Some Definitions
1.6. Linear-Elastic Analysis
1.7. Linear-Elastic Plastic Analysis
1.8. Yield Criteria
1.9. Limit and Plastic Collapse Loads
1.10. Reflection on the Lower Bound Theorem and FEA
1.11. Pressure Vessel DBA Codes of Practice and FEA
1.12. Pressure Vessel-Related Simulation Competencies
1.13. Some Practicial FEA Guidelines
1.14. Simulation Context
1.15. Quiz
1.16. Competencies Covered

2. Elastic Analysis
2.1. Introduction and Stress Categories
2.2. Stress Limits
2.3. Difficulties Encountered When Performing Stress Categorisation
2.4. Linearisation through the Wall Thickness
2.5. European Code EN13445-3 Annex C
2.6. Pseudo Inelastic Analysis Methods
2.7. Limit Analysis for Primary Stress Classification
2.8. The Reduced Modulus Procedure and Computational Limit Analysis
2.9. The Elastic Compensation Method and Computational Limit Analysis
2.10. Elastic Compensation Example: The Two Bar Structure
2.11. Quiz
2.12. Competencies Covered

3. Plastic Analysis
3.1. Introduction
3.2. Plastic Analysis
3.3. Incremental Plastic Collapse
3.4. Proportional Loading
3.5. Non-Proportional Loading
3.6. Quiz
3.7. Competencies Covered

4. Creep
4.1. Overview of Creep-Related Phenomena
4.2. Mathematical Modelling of Uniaxial Creep
4.3. Creep Rupture
4.4. Variable Stress Creep Behaviour
4.5. Stress Relaxation
4.6. Multi-Axial Stresses
4.7. Finite Element Creep Formulation
4.8. The DBA Codes
4.9. EN 13445:3 Unfired Pressure Vessels - Design
4.10. Some Thoughts on V&V
4.11. "Cold" Creep
4.12. Quiz
4.13. Competencies Covered

5. Fatigue
5.1. Review of Cyclic Loading Phenomena
5.2. Elastic Shakedown, Ratchetting & Alternating Plasticity
5.3. Overview of Fatigue
5.4. Historical and Wider Industry Perspective
5.5. Vibration
5.6. Approaches to Fatigue Analysis
5.7. Classical Stress-Life-Based Assessment
5.8. Strain-Life-Based Assessment
5.9. Brief Overview of the Challenges
5.10. Weld Improvement Methods
5.11. Theoretical Elastic Stress Singularities and Welds & Dissimilar Material Joints
5.12. Stresses Used for the Fatigue Assessment of Welds
5.13. Determination of the Cyclic Stress Range - Summary
5.14. The Pros and Cons of Shell Idealisations
5.15. Various Shell Idealisation Improvement Techniques
5.16. Further Relevant Observations from a Lamp-Post
5.17. Some Observations from Weld Round-Robins
5.18. What the Codes Say
5.19. PD5500
5.20. ASME III
5.21. ASME VIII Div 2
5.22. EN 13445
5.23. BS 7608
5.24. Closing Remarks
5.25. Quiz
5.26. Competencies Covered

6. Instability & Buckling
6.1. Introduction to Some Basic Definitions and Fundamental Concepts
6.2. Linear Euler Buckling
6.3. Empirical Formulae for the Design of Struts/Columns
6.4. Slenderness Ratio of Struts/Columns
6.5. Energy Methods for the Design of Struts - The Rayleigh Ritz Method
6.6. Buckling Behaviour of Shells
6.7. Eigenvalue Buckling Using FEM
6.8. Nonlinear Buckling & Post-Buckling
6.9. Review of Finite Element Background & Modelling Issues
6.10. Some Further Instability & Buckling Thoughts & Examples
6.11. Quiz
6.12. Competencies Covered

7. Other Failure Mechanisms
7.1. Introduction
7.2. Types of Corrosion
7.3. Brittle Fracture
7.4. Irradiation Effects

8. Codes of Practice - EN13445
8.1. Overview to EN13445
8.2. Overview to EN13445:3
8.3. Gross Plastic Deformation Check
8.4. Progressive Plastic Deformation Check
8.5. Instability Design Check
8.6. Fatigue Design Check
8.7. Static Equilibrium Design Check
8.8. Creep Rupture Design Check
8.9. Excessive Creep Strain Design Check

9. Codes of Practice - ASME Section VIII Div 2 - Part 5
9.1. Overview to ASME BPVC
9.2. Overview to ASME BPVC Section VIII Division 2
9.3. Protection Against Plastic Collapse
9.4. Protection Against Local Failure
9.5. Protection Against Collapse from Buckling
9.6. Protection Against Collapse from Cyclic Loading
9.7. Quiz
9.8. Competencies covered

10. Worked examples - EN13445
10.1. Hemisphere with Nozzle Intersection
10.2. Cylinder under External Pressure
10.3. Skirted Vessel
10.4. Thin Unwelded Flat End
10.5. Hemisphere
10.6. Dished End with Nozzle in Knuckle Region
10.7. Cylinder with Two Nozzles
10.8. Torispherical Head under Internal Pressure

11. Worked Examples - ASME
11.1. Hemisphere with Nozzle Intersection
11.2. Cylinder under External Pressure
11.3. Thin Unwelded Flat End
11.4. Hemisphere
11.5. Dished End with Nozzle in Knuckle Region
11.6. Torispherical Head under Internal Pressure
11.7. Competencies Covered

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