因為外賓比較多 前面3列都要空出來. 要請假的人請本週三前告知. * 若來不及排座位表, 請修課同學由第3列開始自由入座 先到的人, 請從前面中間開始坐~ ------ Torsion of RC Members -A Historical Overview by Thomas T. C. Hsu Moores Professor of Civil Engineering Dept. of Civil & Environmental Engineering University of Houston, Houston, Texas, USA Abstract This presentation provides a historical overview of how the knowledge of torsion in reinforced concrete was developed from 1826 to the present time (2008). The classical theories of torsion of homogeneous beams include those of Navier (1826) and Bredt (1896). Navier’s three principles of mechanics of materials (equilibrium, compatibility and constitutive laws of materials) and Bredt’s thin-tube theory guided the torsion research of reinforced concrete members throughout the 20th century. Research in torsion of reinforced concrete started with the space truss model of Rausch (1929). During the last 40 years of the 20th century, two approaches have been developed, first the skew-bending theories and later the truss models with membrane elements. The former included the theories of Lessiq (1959), Yudin (1962), Collins (1965), Hsu (1968), and Elfgren (1972). The latter included the theories of Lampert and Thurlimann (1969), Elfgren (1974), Collins and Mitchell (1980), and Hsu and Mo (1985). The development of these modern truss models continued to be strongly guided by Navier's three principles. For shear and torsion, the three principles are: Mohr's stress circle, Mohr’s strain circle, and the “softened” stress-strain curve of concrete. --

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