Computational methods of structural mechanics
Entry requirements: Basic knowledge of PDEs, tensor analysis, linear algebra and Newtonian mechanics
Language of the course: English
The goal is to learn main mathematical objects and laws of elasticity theory, the types of strain in different supporting structures and the methods of solving elasticity theory problems.
Basic formulation of structural mechanics and elasticity problems. Tensors of deformations and stresses. Hooke's law, Young's modulus, Poisson's ratio. Bending of a beam, normal stresses, energy of bending. Shear stresses in a bent beam. Zhuravskii's expression. Loaded beams, trusses and frames: basic equations and boundary conditions. Statically determined and undetermined systems, general forces and deformations, finite element method.
Lectures and practical assignments
Grading: 60% practical and home assignments; 40% final exam.