This course will present a number of advanced approximate methods for analyzing structures. Topics covered include: analysis of statically indeterminate trusses and frames; model analysis; energy principles; numerical integration for solving structural problems including Newmark's method and beams on elastic foundations; structural vibrations including Rayleigh's principle, Stodola's iteration technique, and distributed mass systems using Newmark's method; structural stability including the energy criterion for stability, lower-bound methods, the method of Vianello, columns with lateral loads, Perry's approximation, the conjugate beam method, stability of unbraced frames and multi-storey building frames; plastic collapse of plane frames, including the plastic moment of a cross-section, and limit theorems of plastic collapse; limit analysis of plates and slabs including the upper and lower bound methods, failure mechanisms, combined loading, and the strip method for slab design. Three term hours.
This course will present a number of advanced approximate methods for analyzing structures. Topics covered include: analysis of statically indeterminate trusses and frames; model analysis; energy principles; numerical integration for solving structural problems including Newmark's method and beams on elastic foundations; structural vibrations including Rayleigh's principle, Stodola's iteration technique, and distributed mass systems using Newmark's method; structural stability including the energy criterion for stability, lower-bound methods, the method of Vianello, columns with lateral loads, Perry's approximation, the conjugate beam method, stability of unbraced frames and multi-storey building frames; plastic collapse of plane frames, including the plastic moment of a cross-section, and limit theorems of plastic collapse; limit analysis of plates and slabs including the upper and lower bound methods, failure mechanisms, combined loading, and the strip method for slab design. Three term hours.
