This book Unified Theory of Concrete Structures, can serve as a comprehensive textbook for teaching and studying a program in concrete structural engineering. Beginning with an undergraduate three-credit course, the program continues on to two graduate-level, threecredit courses. This book can also serve as a reference for researchers and practicing structural engineers who wish to update their current knowledge in order to design unusual or complicated concrete structures. The undergraduate course could be entitled ‘Unified Theory of Concrete Structures I – Beams and Columns’ covering Chapters 1, 2 and 3 of the textbook. The course can start with Chapter 3 and the Bernoulli compatibility truss model to derive the linear and nonlinear theories of bending for beams and the interaction of bending with axial loads for columns. The derivation process should adhere to Navier’s three principles for bending, namely, the 1-D equilibrium condition, the Bernoulli linear compatibility, and the nonsoftened constitutive laws of materials. The course then moves on to Chapter 2, where the equilibrium (plasticity) truss model is used to derive the ultimate strengths of the four actions and their interactions. These ultimate strength theories explain the background of bending, shear and torsion in the ACI Building Code, and thus prepare the students to design a concrete beam not only with bending, but also with shear and torsion. Finally, the students are led to Chapter 1, and are introduced to the concept of main regions versus local regions in a structure, and to the strut-and-ties model so they can comprehend the equilibrium approach to treating the local regions with disturbed and irregular stresses and strains. Because Chapters 1, 2 and 3 are written in a very concise, ‘no-frills’ manner, it would be advisable for the instructors of this course to provide a set of additional example problems, and to provide some knowledge of the bond between steel bars and concrete in beams. The first graduate course could be entitled ‘Unified Theory of Concrete Structures II – Shear and Torsion’ utilizing Chapter 2, 4, 5, 6 and 7 of the textbook. This first graduate course focuses on shear and torsion, as expressed in the last three component models of the unified theory dealing with the Mohr compatibility truss model, the softened truss model and the softened membrane model. These models should be presented in a systematic manner pedagogically and historically, emphasizing the fundamental principles of 2-D equilibrium, Mohr circular compatibility and the softened constitutive laws of materials. A three-credit graduate course taught in this manner was offered in the Spring semester of 2008 at the University of Houston, and in the Fall semester of 2008 at the Hong Kong University of Science and Technology. The second graduate course could be entitled ‘Unified Theory of Concrete Structures III – Finite Element Modeling of Frames and Walls’ and covers Chapters 8, 9 and 10 of the textbook. Students who have taken the first graduate course ‘Shear and Torsion’ and a course P1: OTE/OTE/SPH P2: OTE FM JWBK431/Hsu April 1, 2010 14:52 Printer Name: Yet to Come xviii Instructors’ Guide in the finite element method could learn to use the finite element framework OpenSees and the UH computer program SCS in Chapter 9. They can first apply these computer programs to the study of beam behavior in Chapter 8, and then expand the application to various forms of concrete structures in Chapter 10. Finally, the students can pursue a research project to study a new form of concrete structure hitherto unexplored.


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