# Courses

DEP503E – Advanced Dynamics of Structures

Dynamic loads, dynamic characteristics of structural systems. lumped parameter systems. free vibrations of single-degree-of-freedom systems (SDF), damped vibrations, response of SDF systems to harmonic loading, to periodic loading, to general dynamic loading, generalized SDF systems. Rayleigh method, vibration isolation Multi-degree-of-freedom systems (MDS), equations of motions, undamped free vibrations of MDS, free vibrations, orthogonality conditions, dynamic response, mode shapes, forced vibrations, mode superposition analysis, numerical methods for determination of mode shapes and frequencies, Rayleigh method, systems with distributed parameters, equations of motion, axial, shear and bending vibrations, earthquake response of SDF systems, response spectra, earthquake response of MDF systems, methods for modal combination, numerical methods.

DEP 514E – Seismic Hazard Assessment

The content of the course includes the Maximum Considered Earthquake (MCE) and Design Basis Earthquake (DBE) concepts, Guttenberg-Richter law, earthquake catalogues, available source models, ground motion prediction equations, terms that help in connecting the fault activity to design basis spectrum. Seismic Hazard Assessment (SHA) methods, both semi- deterministic and probabilistic, and supporting examples and exercises are examined in the course. Details in Probabilistic Seismic Hazard Assessment (PSHA), treatment of uncertainty in SHA issues will be covered. The course will culminate with the elaboration of the subject on the determination of the Design-basis Ground Motion (DGM) needed for the code-based and performance-based design of engineering structures. The content will be particularly useful in design of tall structures, critical facilities or other structures where a controlled seismic performance is expected.

Engineering Seismology & Seismic Hazard Assessment

(@ UME School, Pavia, Italy)

This is an introductory course on the fundamentals of engineering seismology, strong ground motion and seismic hazard assessment. The ultimate object is to provide a background for the assessment of design- basis ground motion both in frequency and time domain. This will be achieved with formal lectures themselves, tutorial sessions and the practical exercises. These teaching activities will be supported with power point presentations, textbook chapters and relevant papers and Internet web sites. This material should be sufficient to obtain a basic background on the subject and to pave the path for those seeking a deeper understanding or greater detail. The course will encompass the basic treatment of the physics of earthquakes and analysis of wave propagation. The time and frequency domain characteristics of the strong ground motion will be covered with enough detail to facilitate the understanding of ground motion prediction and the earthquake hazard assessment. The probabilistic and deterministic treatment of seismic hazard will be covered with supporting examples and exercises. The course will culminate with the elaboration of the subject on the determination of the design basis ground motion needed for the code- based and performance-based design of engineering structures.

Structural Dynamics

(@ UME School, Pavia, Italy)

Definition of SDOF system characteristics. External force and earthquake excitations. Classical solution of second order linear ODE’s. Undamped and damped free vibration, energy in free vibration. Undamped and damped systems, resonance, energy dissipated in viscous damping, equivalent viscous damping. Response to unit impulse, arbitrary force and step force, response spectrum. Newmark’s method, stability and accuracy. Rigid body assemblages, distributed parameter systems, Rayleigh method. Simple MDOF systems, dynamic forces, reduction of DOF’s, static condensation. Natural vibration modes and frequencies, orthogonality and normalization of modes, modal expansion, free vibration response of MDOF systems, eigenvalue problem, vector iteration methods. Construction of damping matrix, Rayleigh damping. Modal response analysis of undamped and damped systems, element forces, modal contribution factors.

CE 362 – Reinforced Concrete

(@ Işık University, Istanbul, Turkey)

Reinforced concrete members: Fundamentals of design. Mechanical properties of concrete and steel, Axially loaded members, Ultimate strength of members subjected to flexure, Design of beams: rectangular and flanged sections, Combined flexure and axial load: RC columns, Design of columns, Shear – Diagonal tension, Design against shear failure, Torsion – Combined torsion, shear and flexure, Bond and anchorage, Slabs, Flat slabs – Punching shear, Shear walls, Foundations-Deep beams – Short cantilevers