Lectures related to Simple Shear: General Notions and Applications

Structural Mechanics: Beam Bending and Boundary Conditions

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

3D Linear Elasticity & Beams

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Bending Beams: Moment of Inertia and Stress Analysis

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

Stresses due to Flexure

Explores normal stresses in beams, bending moments, neutral axis, and maximum stresses.

Linear Elasticity (3D)

Explores linear elasticity in 3D, stress-strain relationship, isotropic materials, and shear stress importance.

Introduction to Structural Mechanics: Stress and Strain

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

Torsion: Deriving Hooke's Law and Solving Torsion Problems

Covers torsional loads, Hooke's law derivation, solving problems, and examples in hollow and composite shafts.

Torsion of Axisymmetric Cross Sections

Explores the torsion of axisymmetric cross sections, focusing on circular bars of linearly elastic materials and their efficiency in resisting torsional loads.

Internal Equilibrium of Solids

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

Torsion: Part 2

Explores shear stress, relative deformations, shear modulus, and torsional shear stress in circular and thin-walled tubes.

Stress and Strain Transformations

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

Introduction to Torsion: Relative Stresses and Strains

Introduces torsion, explaining relative stresses and strains in bars, shear modulus, and torque transmission.

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Shear Behavior: Evaluation and Laws

Explores material behavior in shear, shear forces, stress, equilibrium, shear laws, tension/compression, plane shear, shear rate, constrained slip, and shear strength.

Linear Elasticity in 3D: Beam Bending

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

Generalized Hooke Law: Deformation and Stiffness Matrices

Explores the Generalized Hooke Law, stiffness matrices, and deformation effects in materials.

Stiffness vs Strength: Deformation and Load

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Bending of Straight Beams

Explores the bending of straight beams, internal effort diagrams, tangential stress, and shear theory.

Constraints and Deformations in 3D

Explores constraints and deformations in 3D, stress matrices, internal forces, and shear stresses.

Torsion of Axisymmetric Cross Sections

Covers the analysis of members under pure torsion and circular bars subjected to torsion, including shear stresses and angle of twist.