Computational methods of structural mechanics

Entry requirements: Basic knowledge of PDEs, tensor analysis, linear algebra and Newtonian mechanics

Credits: 6

Semester: 1

Course: Core

Language of the course: English

Objectives

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.

Contents

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.

Format

Lectures and practical assignments

Assessment

Grading: 60% practical and home assignments; 40% final exam.