Mechanics II: Strength of Materials

Abstract

Stress tensor, strain tensor, linear elastic stress strain relation, tension, bending and torsion of beams, numerical methods, elastic strain energy, work energy methods, buckling of beams, introduction to plasticity, time dependent material behavior and fracture mechanics.

Objective

For the mechanical design of systems, knowledge about basic concepts of continuum mechanics are indispensable. These include mechanical stress, deformations, etc. which are demonstrated on simple examples resulting in an understanding which is both mathematically correct and intuitive. In this course students learn the basic concepts of the mechanics of deformable media that they will later apply in other courses that are closer to real engineering applications.

Content

Stress tensor, strain tensor, Mohr’s circle and related eigenvalue problems, linear elastic stress strain relation, tension, bending and torsion of beams, moments of inertia, numerical methods, finite elements, elastic strain energy, work energy methods, Castigliano’s theorem, statically indeterminate structures, buckling of beams, introduction to plasticity, time dependent material behavior and fracture mechanics.

Resources