Bending of Straight Beams

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Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Introduction to Structural Mechanics: Stress and Strain

Covers stress equilibrium, strain, and constitutive equations in 2D and 3D.

Beam Bending II: Internal Forces, Curvature, and Stiffness

Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.

Bending Beams: Moment of Inertia and Stress Analysis

Explores moment of inertia in bending beams and stress analysis for beam sections.

Simple Traction or Compression

Covers general notions and hypotheses of simple traction or compression, stress analysis, and strain energy in materials.

Stress and Strain Transformations

Explores stress and strain transformations, main stresses, safety factors, and failure criteria in structural mechanics.

Plates III: Buckling Theory and Applications

Explores Föppl-von Kármán plate theory, including buckling equations and an example of plate compression.

Plane Stress Analysis: Equilibrium and Transformation

Explores plane stress analysis, including inclined planes, stress transformation, principal stresses, and shear stresses.

Linear Elasticity in 3D: Beam Bending

Covers linear elasticity in 3D, focusing on beam bending and stress-strain behavior of materials.

Plates I: Deformation and Energy

Covers the deformation of plates in pure bending, total strain energy, and wrinkling phenomena, exploring applications and implications of substrate stiffness on wrinkling.