Lecture: Technical Mechanics

Module Title:

• Technical Mechanics (I + II)

Offering Institution:

• Friedrich Schiller University Jena, OSIM

Professor/ Lecturer:

• Prof. Dr. Enrico Gnecco

Degree Program:

• Materials Science (Bachelor Degree, compulsory Course)

Learning Goals:

• Understanding for essential basic laws of technical mechanics
• Ability to formulate engineering problems with technical mechanics

Content Description – Part I:

• Statics: basic terms, forces with a common point of attack, general force systems and balance of the rigid body, focus, bearing reactions, trusses, beams, frames, arches, adhesion and friction
• Elastostatics: tension and compression in bars, stress state, distortion state, elasticity law, beam bending, torsion, working concept in elasticity, buckling, composite cross sections

Content Description – Part II:

• Kinematics of the mass point: speed and acceleration; rectilinear, level and spatial movement; Cartesian, polar and natural coordinates
• Kinetics of the mass point: free and guided movement; resistance forces; impulse theorem and shock; angular momentum theorem; work theorem and energy theorem; gravitational law, planet and satellite movement
• Kinetics of a system of mass points: center of gravity; centric shock; Body with variable mass
• Kinematics of a rigid body: translation; rotation; general movement; current pole
• Kinetics of a rigid body: rotation around a fixed axis and moment of inertia; level movement and eccentric impact; spatial movement: inertia tensor, EULER equations and gyroscope
• Principles of mechanics: Principle of d'Alembert, LAGRANGE equations
• Free, damped and forced vibrations
• Relative movement of a mass point
• Introduction to numerical simulation or introduction to fluid mechanics (additional topics)

Competences to be acquired:

• 55% – expertise
• 25% – methodological competence
• 15% – system competence
• 5% – social skills

Forms of Teaching and Learning:

• 60 h – Lectures (4 hours per week)
• + 60 h – Exercises (4 hours per week)
• + 60 h – Self Studies: after Work of Lectures and Exercises
• + 80 h – Self Studies: solve Questions
• + 40 h – Self Studies: Exam Preparation
• = 300 h – total Workload

Prerequisite for Participation:

• none

Preparation for Participation in the Module – Part I:

• Schnell, Gross, Hanger, Technische Mechanik 1 + 2, Springer Verlag 2003,
• J. Dankert, H. Dankert, Technische Mechanik, Vieweg + Teubner,
• A. Böge, W. Schlemmer, Technische Mechanik, Vieweg + Teubner.

Preparation for Participation in the Module – Part II:

• Gross, Hauger, Schröder, Wall, Technische Mechanik 3, Springer Verlag 2012
  (recommended textbook).

Usability of the Module in other Courses:

• Degree in Physics, major in Technical Physics

Prerequisite for awarding Credit Points:

• monitoring the Preparation of Exercises
• intermediate Exam 120 min, first Exam weighted to 50%
• final Exam 120 min, second Exam weighted to 50%

Number of Credit Points:

• 10

Frequency of offering the Module:

• every Summer Semester

Duration of the Module:

• two Semesters