Lectures in course ME-232: Mechanics of structures (For GM)

Introduction to Structural Mechanics

Covers fundamental concepts in structural mechanics, including static approach, stresses, equilibrium equations, and finite element modeling.

Elastic Strain Energy: Deformation Theorems

Explores elastic strain energy in beams, deformation theorems, and Castigliano's theorem.

Internal Equilibrium of Solids

Covers the theory of elasticity, internal equilibrium, stress, and strain in deformable solid bodies.

Elastic Strain Energy: Castigliano's Theorem

Explores elastic strain energy using Castigliano's theorem for determining vertical displacements in beams and calculating deflections in coil springs.

Internal Equilibrium of Solids

Covers the internal equilibrium of solids and stress calculation in structures.

Hyperstatic Systems: Equilibrium and Strain Energy

Explores hyperstatic systems, equilibrium, and strain energy in structures, including the application of the Menabrea theorem.

Simple Traction or Compression

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

Elastic Strain Energy and Hyperstatic Systems

Covers elastic strain energy and hyperstatic systems with theoretical aspects and exercise corrections.

Buckling of Straight Beams

Explores the buckling phenomenon in straight beams due to material breakage or buckling stress being exceeded.

Mohr Circle: Stress Analysis

Explains stress analysis using Mohr circles and strain energy concepts.

Two-Dimensional Stress State

Explores two-dimensional stress states, energy density, constraints, and practical examples.

Buckling of Straight Beams

Covers the consequences of reducing the internal bending moment in straight beams and discusses stability conditions.

Elastic Equilibrium: Criteria of Rupture

Explores the Timoshenko method for buckling in beams and stress-strain relationships in linear elastic elements.

Principal Stresses and Mohr's Circle

Covers principal stresses, Mohr's circle, and biaxial loads in plane stress analysis.

Simple Shear: General Notions and Applications

Explores simple shear, shear stress, strain energy, stress analysis, and torsional shear stress in simple twist.

Criteria of Rupture

Covers the criteria of rupture in ductile materials, stress comparison, flow mechanism, and von Mises criterion.

Simple Twist: Moments of Inertia and Torsional Shear Stress

Explores simple twist in torsion, moments of inertia, and shear stress.

Internal Equilibrium of Solids

Covers internal equilibrium of solids, stress analysis, beam deformation, and rupture criteria.

Circular Torsion & Bending Beams

Covers stress analysis in circular torsion and bending of straight beams.

Mechanics of Solids: Concepts and Applications

Explores mechanics of solids, covering stress concepts, accreditation, evaluation, and moment calculations.