Schedule
Winter Semester 2026/27 — Monday and Friday, 10:15–12:00, SR 00-010/14
Each session starts with a short lecture (first half) followed by work on the problem set (second half). A problem set covers one week: it is handed out on Monday and discussed until Friday.
| Week | Date | Topic | Chapter | Problem set |
|---|---|---|---|---|
| Fr 23.10. | Introduction; forces, moments, rigid-body statics | 1 | — | |
| Mo 26.10. | Rigid-body kinematics | 2 | PS1 | |
| Fr 30.10. | Constraints, principle of virtual work | 3 | PS1 | |
| Mo 02.11. | Instantaneous centers of rotation, internal constraints | 3 | PS2 | |
| Fr 06.11. | Internal forces | 4 | PS2 | |
| 1 | Mo 09.11. | Beam – equilibrium: infinitesimal element, \(Q' = -q\), \(M' = Q\); Dirac and Heaviside | 4 | PS3 Internal forces – analytic method |
| 1 | Fr 13.11. | Jumps under concentrated loads; equivalent resultant of a distributed load | 4 | PS3 |
| 2 | Mo 16.11. | Beam – kinematics: \(u\), \(w\), \(\varphi\); \(\varepsilon\), \(\gamma\), \(\chi\) | 5 | PS4 Statically determinate beams |
| 2 | Fr 20.11. | Beam – virtual work: conjugate pairs, equilibrium from virtual work | 6 | PS4 |
| 3 | Mo 23.11. | Constitutive relations, Bernoulli hypothesis, \(EIw'''' = q\), boundary conditions | 7 | PS5 Beam deflection |
| 3 | Fr 27.11. | Hyperstatic beams with \(EIw''''=q\); elastic energy, Castigliano, virtual forces | 8 | PS5 |
| 4 | Mo 30.11. | Force method, Müller-Breslau | 8 | PS6 Hyperstatic beams and stress |
| 4 | Fr 04.12. | Continuum – equilibrium: stress tensor, \(\nabla\cdot\underline{\sigma} + \vec{f} = 0\) | 9 | PS6 |
| 5 | Mo 07.12. | Divergence theorem, traction, boundary conditions | 9 | PS7 Stresses inside beams |
| 5 | Fr 11.12. | Bending stress \(\sigma_{xx} = Mz/I\), parabolic shear stress | 10 | PS7 |
| 6 | Mo 14.12. | Continuum – kinematics: displacement field, strain and rotation | 11 | PS8 Strain |
| 6 | Fr 18.12. | Strain tensor, compatibility | 11 | PS8 |
| 7 | Mo 21.12. | Continuum – virtual work | 12 | PS9 Hooke’s law |
| Winter break | ||||
| 7 | Fr 08.01. | Origin of elasticity; Hooke’s law in 1D, \(E\), \(G\), \(\nu\) | 13 | PS9 |
| 8 | Mo 11.01. | General Hooke’s law, Voigt notation, isotropy | 13 | PS10 Hooke’s law II |
| 8 | Fr 15.01. | Volumetric/deviatoric parts, \(K\), \(G\), Lamé; plane stress and plane strain | 13 | PS10 |
| 9 | Mo 18.01. | Rotation of the stress tensor, principal stresses, invariants | 14 | PS11 Stress tensor |
| 9 | Fr 22.01. | Mohr’s circle, maximum shear stress | 14 | PS11 |
| 10 | Mo 25.01. | Yield criteria: Tresca, von Mises, Coulomb–Mohr, Drucker–Prager | 15 | PS12 Rotation and invariants |
| 10 | Fr 29.01. | Invariants and yield surfaces, examples | 15 | PS12 |
| 11 | Mo 01.02. | Buckling: stability, Euler critical load | 16 | PS13 Buckling |
| 11 | Fr 05.02. | Buckling: effective length, the four Euler cases; review | 16 | PS13 |
| 12 | Mo 08.02. | — | Mock exam | |
| 12 | Fr 12.02. | Review | Discussion of the mock exam, Q&A | |
| Fr 26.02. | Final exam, 14:00–17:00, HS 00 036 |