Solid Mechanics: Stress, Strain and Structural Analysis — Student Guide is an open-access curricular module published by the Prep4Uni.Online OER Initiative, under the principal editorship of Dr. Jacob Gan, PhD (Mich). Aligned with the Washington Accord, EUR-ACE, and IEA Global Engineering Competency frameworks, this resource provides an exhaustive mathematical and physical treatment of solid mechanics, materials deformation, and structural integrity for undergraduate engineering students.
The guide systematically covers:1. Continuum mechanics foundations, stress/strain tensors, generalized Hooke's law, transformation invariants, and 2D/3D Mohr's Circle derivations.2. Structural analysis, bending moment-curvature relationships, Timoshenko beam kinematics, unsymmetric flexure, transverse shear flow, and column instability/buckling.3. Multi-axial yield and fracture criteria, including von Mises, Tresca, Rankine, Paris-law fatigue propagation, and Linear Elastic Fracture Mechanics (LEFM).4. Modern computational paradigms, contrasting classical Finite Element Methods (FEM) with Physics-Informed Neural Networks (PINNs), Fourier Neural Operators (FNOs), and structural digital twins.
Supplemented with systems engineering trade-off matrices, cross-industry case studies (aerospace, automotive, pressure vessels), and a quantitative practice suite with full arithmetic steps and engineering interpretations.
License: CC BY-NC-SA 4.0.