Mechanics of Materials
After the course the student will be able to:
- apply the method of sections to calculate internal loadings, stresses, strains & deformations in slender members:
- subjected to axial loadings (bars)
- with circular cross section subjected to torsional loadings (shafts).
- with symmetric cross section subjected to transversal loadings, c.q. bending and shear (beams).
- derive the critical load & buckled shape of beams (using Euler buckling theory).
- analyze statically determinate & indeterminate structures.
- determine the second moment of area for composite cross sections.
- understand basic mechanical concepts of a structure, analyze it using correct theoretical models and evaluate the results of a calculation.
Modeling and Programming
As a result of the course a student is able to:
- solve beam equations using MATLAB.
- determine the maximum stresses in a beam using MATLAB.
- write a finite element program to calculate the stresses in a frame with beams.
- optimize the frame geometry using the finite element code and standard optimization routines.
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This is a part of module 4, ME 4 Design and Mechanics of the Bachelor Mechanical Engineering.. See here for the compete description of the module.
Mechanics of Materials
This course covers how the stiffness and strength of a structure consisting of different members such as bars, beams and shafts can be determined. Stiffness describes the relationship between loads and deflections of a structure and strength refers to stresses and strains occurring in the material.
Modeling and Programming
The Finite Element Method is a key engineering tool for the design of mechanical systems. It can be used to determine internal stresses and deformation of structures due to external loads. A basic form of the Finite Element Method for beam structures will be developed throughout a series of ModPro 4 sessions. The complexity of the systems will gradually increase during the sessions, from 1D truss systems, to single beam calculations, to full truss and beam structures. Optimization methods discussed in ModPro 3 will be used to optimize structure designs.
Non-ME students can take this course if they meet the entry requirements.
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