Structural mechanics:
· multiaxial strains and stresses, principal stresses
· dynamics: natural frequency, damping and resonance for simple systems
FEM theory:
· discretization, interpolation functions, elements, nodes and degrees of freedom
· internal and external work, virtual work
· assembling, stiffness matrix
· 2D bar element, 2D beam element, plane elements, solid elements, shell elements.
FEM modeling:
· choice of elements, boundary and support conditions
· modeling of loads and details
· modeling of concrete slabs
· modelling of bridges
The course will treat both theoretical and more applied aspects of FEM-modelling. In addition to knowledge in beam theory give the course also a necessary specialisation in structural mechanics. An important goal of the course is to teach students to use a commercial FEM program by analyzing practical problems.
After the course, the students should be able to:
· Explain and apply the basic theory behind the finite element method.
· Describe the common elements.
· use the finite element method to analyse real structures.
· Use a commercial FEM-program.
· explain in which cases a simple dynamic analysis is needed, and the principles behind such analysis.