Content (Syllabus outline)

  • Introduction: significance of mechanics in engineering practice, modelling mechanical phenomena, division and development of mechanics, basic assumptions and agreements.
  • Fundamentals of kinematics: position, speed and acceleration of a point, trajectory and distance of a moving point, description of the motion in plane (linear and rotary), description of the motion in space.
  • Fundamentals of dynamics: mass particle and body, basic laws of dynamics (Newton's laws), general laws of dynamics and their application (linear momentum laws, angular momentum laws, mechanical energy laws – work by force, kinetic energy, potential energy), oscillation.
  • Elements of mechanics: basic elements of mechanical model, body/object, support and connection, forces, types of forces, resultant of forces and momentum, force reduction, active and passive forces, friction (gliding, rolling).
  • Technical statics: equations of statics equilibrium, design, static design analysis, calculating reactions in supports, calculating internal forces.
  • Strength: cross-section static quantities, deformations (displacements and their cause, displacement vector, deformation tensor), stresses (stress vector, stress tensor, plane stress, one-axis stress), connection between deformations and stresses, constitutive equations – Hook’s law, basic strength problems (tension and compressive load, bending load, shear load, torsional load, diffraction, load combinations), failure theories.
  • Basics of designing statically and dynamically loaded construction elements.

Prerequisites

1. Prerequisites for the work:

  • Student of the first year.

2. Terms of prerequisites:

  • Colloquium from tutorials,
  • Attendance at tutorials,
  • Tutorials.