Bending Beams: Moment of Inertia and Stress Analysis

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Explores linear elasticity, stress-strain relationships, and beam bending kinematics with a focus on stress tensors and internal forces.

3D Linear Elasticity & Beams

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

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.

Beam Bending I

Covers stress, strain tensors, material constants, and beam bending fundamentals.

Beam Bending II: Internal Forces, Curvature, and Stiffness

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

Circular Torsion & Bending Beams

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

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.

Bending Beams: Constraints and Relative Deformation

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

Mechanics of Composite Beams

Explores stresses in composite beams, including normal stresses, longitudinal strains, and moment-curvature relationship.

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.