
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.
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