Course MV-TM-86020-K-4
Elements of Applied Mechanics I (3V+1U, 6.0 LP)
Course Type
| SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
|---|---|---|---|---|---|
| - | K | Lecture with exercise classes (V/U) | 6.0 CP | 124 h | |
| 3 | V | Lecture | 42 h | ||
| 1 | U | Lecture hall exercise class | 14 h | ||
| (3V+1U) | 6.0 CP | 56 h | 124 h | ||
Basedata
Notice
In addition to lectures and exercises, the Chair of Applied Mechanics offers tutorials and student consultation hours. (Dates: see OLAT)
Contents
- fundamental concepts regarding the statics of rigid bodies (force, classification of forces)
- forces with common point of origin (equilibrium on a plane)
- general systems of forces (force groups on a plane)
- centroid of loads, bodies, volumes, surfaces and lines
- bearing and joint reactions (static and kinematic determinacy)
- trusses (zero force bars, method of joints and sections)
- beams, frames, arches (forces on cuts)
- fundamental concepts of elastostatics
- tension compression in bars (stress, strain, material law, bar systems)
- concept of work for bar systems (principle of work and energy, strain energy, principle of virtual forces)
- stress state (transformation relations, principal stresses, Mohr’s circle)
- strain state (strain and shear)
- law of elasticity and strength hypothesis
- beam bending (moment of inertia of area, ordinary bending)
Competencies / intended learning achievements
1. Lecture
Students are able to
- describe fundamental concepts regarding statics (force and torque)
- classify structural elements regarding their load-bearing behavior
- compute resultants of load systems and distributed volume, area, and line forces
- label forces on cuts of structures
- compute the deformation behavior of bars and bar systems
- compute the deformation of elastic bars and bar systems via energy methods and the principle of virtual forces
- explain the terms stress and strain for one and also higher dimensions
- describe the elastic material law for one and also higher dimensions
- analyze the deformation behavior and stress distribution in a beam
2. Tutorial
Students are able to
- analyze systems by cuts and equilibrium conditions
- compute bearing and joint reactions
- compute the centroid of loads and bodies
- compute forces on cuts of structures
- compute the deformation of bar systems via displacement diagrams
- compute the deformation of bar systems via energy methods and the principle of virtual forces
- analyze homogeneous plane and three-dimensional stress states
- compute moments of inertia of area
- analyze structures of bars and beams with respect to deformation and stress distribution
- present and discuss their results among themselves
Literature
Gross, Hauger, Schröder, Wall: Technische Mechanik, Band 1 und Band 2, Springer Verlag;
Gross, Ehlers, Wriggers, Müller: Formeln und Aufgaben zur Technischen Mechanik 1 - Statik, Springer Verlag;
Gross, Ehlers, Wriggers, Schröder, Müller: Formeln und Aufgaben zur Technischen Mechanik 2 – Elastostatik, Hydrostatik, Springer;
Hagedorn: Technische Mechanik, Band 1 und Band 2, Verlag Harry Deutsch;
Materials
Blackboard/overhead, projector, slides. For further information and course materials please consider the corresponding OLAT-course.
Requirements for attendance (informal)
None
Requirements for attendance (formal)
None
References to Course [MV-TM-86020-K-4]
| Module | Name | Context | |
|---|---|---|---|
| [MV-BEMT-7-M-4] | Applied Mechanics | P: Obligatory | 3V+1U, 5.0 LP |
| [MV-TM-54-M-4] | Elements of Applied Mechanics I | P: Obligatory | 3V+1U, 6.0 LP |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: