After the course, the student will be able to:
- recognize the difference between normal and shear stresses and the difference between normal and shear strains
- analyze statically inderterminate structures
- calculate second moment of area for composite sections. To apply beam theory to beams with symmetric cross-sections
- calculate stresses and strains in axially loaded bars (truss structures).
- calculate stresses and strains in members of circular cross sections (circular shafts) subjected to torsion
- determine slope and deflection of beams subjected to bending using differential equations characterizing the shape of the deformed beams and using the method of superposition
- calculate normal and shear stresses in beams subjected to both bending and shear (transversally loaded beams)
- evaluate the results of a calculation
- understand basic mechanical concepts of a structure and to analyze it using correct theoretical models
- Define simple constructions as mathematical models, program and evaluate these models in Matlab, and interpret the results
- design a construction within the project (using a FEM package)
- use of standard routines in Matlab in the field of optimization (without constraints) and multiple integrals
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This is a part of Semester 1 of the Bachelor Mechanical Engineering (UT-VU) See here for the compete description of this semester.
Mechanics of Materials is the second course of the SOLID MECHANICS learning line. This course covers how the stiffness and strength of a structure consisting of slender structural members such as bars, shafts and beams can be determined. It is explained how to determine the internal stresses, strains and deformations of slender members that are subjected to external excitation. The stability analysis of beams subjected to compressive loads by means of buckling theory is treated.
For the purpose of modelling and programming, students learn to develop their own finite element package in Matlab. This package can be used to determine the deformation of truss structures.
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