After successful completion of the course, students are able to perform the following tasks:

• Identify given forces like those of springs, gliding friction, gravity, and also (other) distributed forces, and to formulate them mathematically for the solution of equilibrium problems;
• Apply the conditions of equilibrium both graphically and arithmetically to find the constraining forces in a statically determined system;
• Determine the stress resultants in beam-like structures as functions of a characteristic coordinate and to represent them graphically;
• Determine in adhesion problems the limits of equilibrium with respect both to the onset of sliding and to tilting graphically as well as arithmetically and to find the necessary minimum coefficient of adhesion for equilibrium; moreover, to check systems for self-locking behaviour; furthermore, to find the forces in systems where bodies move with sliding friction (and constant velocity) both graphically and arithmetically;
• Determine the forces in (statically determined) trusses both graphically and arithmetically;
• Determine the center of gravity of bodies and plane areas by integration, Guldin's rule, and appropriate combination of sub-bodies/areas with already determined centers of gravity;
• Determine the moments of inertia and products of inertia both for bodies and plane areas by integration and application of Steiner's law;
• Explicate the basics of linear elasticity theory and to apply Hooke's law;
• Find the stresses and displacements in straight Euler-Bernoulli bars caused by tension/compression, bending, and torsion both for statically determined and undetermined systems; to this aim, to apply  the principle of superposition and Mohr's method, too;
• Explicate the effects of shear forces in straight bars;
• Explicate the basics of the statics of ropes and chains under the influence of gravity

1. Basics of statics:

• Systems of forces, equilibrium problems: graphical and analytical solutions;
• Forces and moments in beam-like structures: determination of the stress-resultants;
• Plane trusses;
• Adhesion and sliding motion with friction;
• Geometrical properties of bodies and plane areas (center of gravity, moments and products of inertia).

2. Introduction to Strength of materials:

• Basics of linear elasticity theory;
  
• Straight bars and systems thereof under tension/compression and bending: stress and strain for both statically determined and undetermined systems;
• Mohr's method;
• Effects of shear forces in straight bars;
• Torsion of bars with circular cross-section;
• Statics of ropes and chains.

Oral Presentation of the theory, based on the script;

Presentation of illustrating examples;

Presentation of several mechanical models

The course starts at Monday, 2.3.2020, 11:15

Exams in written and oral form.

Lecture notes for this course are available at the Institute, Devision of Technical Dynamics and Vehicle System Dyamics.

Good highschool knowledge in mathematics and physics.