Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020, bzw. am 13.01.2021 verabschiedet.

Ausnahmen:

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

SWS 3V+1U
CP, Effort 6.0 CP = 180 h
Position of the semester 1 Sem. in WiSe
Level [4] Bachelor (Specialization)
Language [DE] German
Lecturers
Area of study [MV-LTM] Applied Mechanics
Additional informations
Livecycle-State [NORM] Active

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