Lectures related to Stresses due to Flexure

Structural Mechanics: Beam Bending and Boundary Conditions

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

Bending Beams: Moment of Inertia and Stress Analysis

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

Simple Shear: General Notions and Applications

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

Mechanics of Composite Beams

Explores the Transformed-Section Method for analyzing bending stresses in composite beams.

Pure Bending of Beams: Chapter 7b

Explores stresses and strains in beams under pure bending, covering neutral axis, normal stress, moment of inertia, and maximum stress.

3D Linear Elasticity & Beams

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

Bending Beams: Constraints and Relative Deformation

Explores quadratic moment, relative strains in beams, and pure flexion, focusing on neutral axis, curvature, and normal stresses.

Linear Elasticity in 3D: Beam Bending

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

Normal Stress in Beams: Bending Analysis

Explores normal stresses in beams during bending and the calculation of the second moment of area for various shapes.

Calculating Centroid and Second Moment

Explains the step-by-step process of calculating centroids and second moments of complex shapes using integration and the parallel axis theorem.

Moment of Inertia and Neutral Axis

Explains stress, bending moment, and moment of inertia in beam sections.

Circular Torsion & Bending Beams

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

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Bending of Straight Beams

Covers stress analysis and strain energy in straight beams under bending.

3D Linear Elasticity & Beams

Introduces 3D linear elasticity, beams, dimensional analysis, and mechanics of slender structures.

Deformation of Straight Beams

Explores the deformation of straight beams, including deviated bending, compound bending, normal stress, and neutral axis.

Composite Beams: Stresses and Neutral Axis

Explains stresses and neutral axis in composite beams, demonstrating calculations and examples.

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.

Centroids and Stress-Strain Diagrams

Explains centroids of plane areas and normal stresses in beams.

Beams under nonuniform bending: Shear stresses and built-up beams

Covers shear stresses in beams and built-up beams, including shear flow calculations and stress superimposition.