 # Engineering Mechanics – Part A

Structure systems are exposed to mechanical stresses. One core competence of an engineer is to estimate and to evaluate the load carrying capacity of a structure under the mechanical influence. For that, a suitable modelling must be carried out considering the available mathematic methods. This lecture provides a systematic introduction to the methods of synthetic mechanics on the model conceptions of the rigid bodies that is based on a parallel advanced knowledge of mathematic methods.

## Acquisition of Competence

Within this module, an introduction to the engineering mechanics will be imparted. Specifically, the following topics are dealt with:

• Forces and Moments, treatment of forces and moments using vector analysis, general and central systems of forces
• Mechanical equilibrium of rigid bodies, method of sections
• Modelling: elementary components, systems of rigid bodies, trusses
• Distributed forces: volumetric forces and surface forces, centre of gravity of the rigid bodies, equivalence principle
• Internal forces and moments in beam systems, synthetic calculation, differential algebraic treatment
• Normal stress in straight bars and beams, first moment of area
• Shear stress due to shear force and torsion
• Combined stress, stress tensor
• Stressing hypotheses, equivalent stress, Mohr’s stress circle