Beginner's Primer: Basic Concepts in Mechanics

As we enter an exciting new era in industrial design, simulation, and manufacturing, a clear understanding of mechanics of solids is needed now more than ever. This primer  is a condensed synopsis of basic undergraduate mechanics and is designed to supplement  classical textbooks in this area. The focus is  on the essentials of mechanics, specifically:              The concept of stress.              Stress-strain relationships.              Failure theory.              Axial loading of a rod.              Transverse (bending) loading of a beam.              Industrial application: modeling of 3D printing.              Transverse shear stresses.              Torsional loading of a rod.              Pressure vessels.              Buckling of columns.              The basics of finite element methods.              A unifying concept: continuum mechanics.