Structural Element Sizing Procedure

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Explores the relationship between moment, curvature, and deflection in beam bending scenarios, emphasizing the consideration of shear forces and deformations.

Plastic Hinge Method: Analysis and Design

Explores the plastic hinge method for inelastic deformation estimation and discusses the challenges of force-based design.

Gaussian Curvature in Plates

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Beams under Flexure

Discusses stresses in beams under flexure, including shear forces and bending moments.

Local and Global Ductility

Examines the relationship between different ductilities in seismic engineering, highlighting their significance in structural elements.

Beams: Forces, Stresses, and Deformations

Analyzes beams, forces, stresses, deformations, curvature, deflection, and rigidity.

Beam Bending: Theory and Applications

Covers the theory of beam bending, historical figures, moment-curvature relation, and implications of distributed loads.

Curvature and Inflection Points

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Curvature and Osculating Circle

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Nonlinear Beam Theory: Mechanics of Slender Structure

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