Presenting a unified approach to analysis tools, this book examines the integrated use of modeling and estimating in the analysis of structures. It provides readers with the knowledge required to know which calculations to perform, how to validate and interpret those calculations, and what the subsequent results mean. The text examines principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation laws. It also reviews basic structural models, discusses beam theory, the use of intuition, behavior of arches, modeling of tall buildings, and the use of Rayleigh quotients and Castigliano theorems.

Mathematical Modeling for Structural Analysis. Structural Models and Structural Modeling. Exploring Intuition: Beams, Trusses, and Cylinders. Estimating Stresses and Displacements in Arches. Estimating the Behavior of Coupled Discrete Systems. Buildings Modeling as Coupled Beams: Static Response Estimates. Buildings Modeled as Coupled Beams: Natural Frequency Estimates. Index.

Clive L. Dym is Fletcher Jones Professor of Engineering Design and director of the Center for Design Education at Harvey Mudd College. After receiving his PhD from Stanford University, Dr. Dym held appointments at the University of Buffalo; the Institute for Defense Analyses; Carnegie Mellon University; Bolt, Beranek and Newman; and the University of Massachusetts at Amherst. He has held visiting appointments at the TECHNION-Israel Institute of Technology, the Institute for Sound and Vibration Research at Southampton, Stanford, Xerox PARC, Carnegie Mellon, Northwestern, USC, and the Singapore University of Technology and Design. Dr. Dym has authored or coauthored more than a dozen books and 90 refereed journal articles, was founding editor of the journal Artificial Intelligence for Engineering Design, Analysis, and Manufacturing, and has served on the editorial boards of several other journals, including the ASME's Journal of Mechanical Design. Dr. Dym is also a co-winner of the NAE's 2012 Bernard M. Gordon Prize "for creating and disseminating innovations in undergraduate engineering design education to develop engineering leaders" (NAE).

Harry E. Williams is Professor Emeritus of Engineering at Harvey Mudd College. After receiving his PhD from the California Institute of Technology, Dr. Williams joined the research staff of the Jet Propulsion Laboratory and then joined Harvey Mudd College as one of the founding faculty of its engineering program, serving there for 40 years. He has also been a Fulbright fellow at the University of Manchester, a liaison scientist for the Office of Naval Research, and a consultant to General Dynamics, Teledyne Microelectronics, the Naval Weapons Center, Aerojet-General, and the Boeing Company. He has published widely over the years, reflecting his interests in fluid mechanics, therm