Course 2024/2025
dr.ir. P.C.J. Hoogenboom (email p.c.j.hoogenboom@tudelft.nl)
6 Credits (EC)
Quarter 4, Mondays, Wednesdays and Fridays
A selection of subjects from elasticity theory, elastic plate analysis and plastic analysis of frames and plates
- P.C.J. Hoogenboom, Notes on torsion, Reader, Delft University of Technology, 6th edition 2023 (1.81 MB)
- J. Blaauwendraad, Plates and FEM, Surprises and Pitfalls, 2010, Springer, pp. 413 (26.5 MB)
- A.C.W.M. Vrouwenvelder and J. Witteveen, "Plastic Analysis of Structures, The plastic behaviour and the calculation of beams and frames (2.31 MB) subjected to bending", Reader Delft University of Technology, March 2003.
- A.C.W.M. Vrouwenvelder and J. Witteveen, "Plastic Analysis of Structures, The plastic behaviour and the calculation of plates (1.81 MB) subjected to bending", Reader Delft University of Technology, March 2003.
| Elastic Analysis | Reader | Collegerama | |||
| 23 April | ..8:45-10:30 | 3.99 | Torsion in beams and columns, Saint-Venant theory and Vlasov theory, Derivation of the Saint-Venant theory | Hgb all pages | 23 April 2025 |
| 24 April | 10:45-12:30 | 2.99 | Torsion calculations of thin wall open cross-sections with constrained warping, Calculation of single cell box beams | Hgb A8, p. 15 | 24 April 2025 |
| 25 April | no lecture | ||||
| 28 April | ..8:45-10:30 | 3.02 | Torsion calculation of multiple cell box beams, Maple script for solving the Vlasov differential equation | Hgb A2, A6 | 28 April 2025 |
| 30 April | ..8:45-10:30 | 3.99 | Plate finite element size, Singularities, In plane load and out of plane load, Plate boundary conditons, Concentrated shear force in plate edges | Bldr 4.4 | 30 April 2025 |
| ..2 May | no lecture | ||||
| ..7 May | ..8:45-10:30 | 3.99 | Stresses in plate edges, Hair pins in plate edges | Bldr 3.6, Hgb p. 62, 63 | 7 May 2025 |
| ..8 May | 10:45-12:30 | 2.99 | Mindlin-Reissner versus Kirchhoff, Reinforcement for concrete plates | Bldr 16 | 8 May 2025 |
| ..9 May | no lecture | ||||
| Plastic Analysis | |||||
| 12 May | ..8:45-10:30 | 2.99 | Paradoxes in elasticity, Historical overview, Material behaviour, Behaviour of an indetermined bar structure (handout 0) Unloading and residual stresses, Bauschinger effect. | Vrve 1 | |
| 14 May | ..8:45-10:30 | Echo F | Yielding in steel beams and in reinforced concrete beams, Incremental analysis of a portal, Prager's theorems. | Vrve 2, 3 | |
| 16 May | ..8:45-10:30 | 1.96 | Example of an upperbound analysis, Example of a lowerbound analysis. Overview of the conditions for upperbound and lowerbound analysis. Virtual work equation (handout 1), Strange but correct applications. | Vrve 3 | 18 Feb. 2020 |
| 19 May | ..8:45-10:30 | 2.99 | More strange but correct applications, Proof of the upper bound theorem, Proof of the lower bound theorem, Exam example (21 January 2016). | Vrve 3 | 20 Feb. 2020 |
| 21 May | ..8:45-10:30 | 3.99 | Exam example continued, Rotation centre, Distributed load, Temperature loading, Support settlements, Misfits, Prestress. | 25 Feb. 2020 | |
| 23 May | ..8:45-10:30 | 3.99 | Yield contour of a simple truss, Yield contour of a simple frame, Normality of deformation (associated flow), Convexity of the yield contour, Importance of convexity for structural design, Yield criteria of Rankine, De Saint Venant, Tresca, Beltrani, Von Mises, Mohr-Coulomb and Drucker-Prager (handout 3a, handout 3b). | Vrve 5, 6 | 27 Feb. 2020 |
| 26 May | ..8:45-10:30 | 2.99 | Interaction diagram of moment and axial force, Rectangular cross-section, I-sections and tubular sections (handout 4a), Reinforced concrete cross-sections, Virtual work in a plastic hinge for rhombic M-N interaction (handout 4b), Mending math, Moment-curvature diagram, Effect of rolling stresses on strength and buckling load, Cable action in steel beams, Arch action in concrete beams. | Vrve 7 | 3 March 2020 |
| 28 May | ..8:45-10:30 | 3.99 | Exam example upper bound calculation with M-N interaction (21 January 2016), Interaction diagram of moment and shear force, Shear interaction for rectangular cross-sections, I-sections. | Vrve 8 | 5 March 2020 |
| 30 May | no lecture | ||||
| ..2 June | ..8:45-10:30 | 2.99 | Selecting a strut-and-tie model (handout 5b), Detailing with a strut-and-tie model (handout 5c), Plate boundary conditions, Plate collapse (picture 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), Upperbound analysis of the example (handout 5a), Other yield line patterns, Positive plate moments (handout 6), Impossible yield line patterns. Introduction to the analysis competition (handout 7). | Vrve 1, 2, 3, 4 | 10 March 2020 |
| ..4 June | ..8:45-10:30 | 3.99 | Exam example of a plate upper bound analysis (22 January 2020), Lower bound solution of a rectangular plate, Comparison of the upper and lower bound, Twistless equilibrium (Hillerborg strip method). Sign up for the analysis competition. | Vrve 5 | 12 March 2020 not 28:00 to 40:40 |
| ..6 June | ..8:45-10:30 | 3.99 | Exam example of a plate lower bound analysis (22 January 2020), Rectangular plate with clamped edges, Refined yield pattern in corners, Comparison of the elastic, upper bound and lower bound solutions, Square plate with free edges, Circular plates with distributed loading and point loading. Point load on a square plate, Edge loads, Column supports. | Vrve 5, 7, 8, 9, 10 | 17 March 2020 until 39:04 17 March 2020 |
| ..9 June | no lecture | ||||
| 11 June | ..8:45-10:30 | 3.99 | Analysis competition. Which will be faster, the elastic team or the plastic team? Results. Example movie (77 MB) of Miss Z. Procházková performing a plastic frame analysis in 5 min. 4 sec. | ||
| 13 June | no lecture | ||||
| 24 June | ..8:45-10:30 | AE-E | Exam 13:30-16:30 hours | ||
| 14 July | ..8:45-10:30 | Exam 13:30-16:30 hours |
During the exam, it is allowed to use readers, handouts, books, notes, calculator, laptop computer, tablet, internet and ChatGPT.
All software is allowed with the exception of the programs Mp (icozct.tudelft.nl/TUD_CT/software/mp/) or Slab (www.limitstate.com).
Obviously, during the exam it is not allowed to communicate information with other people than the teacher.
