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.