Explains the plastic hinge method for estimating inelastic deformation capacity in structural elements, focusing on flexural deformations and providing good approximations.
Discusses stresses in beams under flexure, including shear forces and bending moments.
Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Explores the plastic hinge method, moment-curvature analysis, and force-displacement response construction in structures.
Covers the Response Spectrum Method and its combination rules, emphasizing effective modal mass and maximum absolute responses.
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Covers the sizing procedure for structural elements and the relationship between moment and curvature in deformed structures, using examples of three-hinged gantry cranes.
Covers seismic design fundamentals, including failure modes, capacity design, and displacement-based evaluation of structures.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
