- 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)
Module MV-TM-54-M-4
Elements of Applied Mechanics I (M, 6.0 LP)
Module Identification
| Module Number | Module Name | CP (Effort) |
|---|---|---|
| MV-TM-54-M-4 | Elements of Applied Mechanics I | 6.0 CP (180 h) |
Basedata
| CP, Effort | 6.0 CP = 180 h |
|---|---|
| Position of the semester | 1 Sem. in WiSe |
| Level | [4] Bachelor (Specialization) |
| Language | [DE] German |
| Module Manager | |
| Lecturers | |
| Area of study | [MV-LTM] Applied Mechanics |
| Reference course of study | [MV-82.B10-SG] B.Sc. Energy and Process Engineering |
| Livecycle-State | [NORM] Active |
Courses
| Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
|---|---|---|---|---|---|---|---|---|---|---|
| 3V+1U | MV-TM-86020-K-4 | Elements of Applied Mechanics I
| P | 56 h | 124 h | - | - | PL1 | 6.0 | WiSe |
- About [MV-TM-86020-K-4]: Title: "Elements of Applied Mechanics I"; Presence-Time: 56 h; Self-Study: 124 h
Examination achievement PL1
- Form of examination: written exam (Klausur) (75-105 Min.)
- Examination Frequency: each semester
- Examination number: 10020 ("Elements of Applied Mechanics I")
Evaluation of grades
The grade of the module examination is also the module grade.
Contents
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;
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: