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Impulse‐momentum and resistance analysis of reinforced concrete structures
Author(s) -
Selna Lawrence G.,
Chow HoongLeong
Publication year - 1995
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290240206
Subject(s) - deflection (physics) , structural engineering , impulse (physics) , stiffness , reinforced concrete , earthquake resistance , mathematics , engineering , physics , classical mechanics
The viability of most analytical approaches developed to predict the inelastic response of Reinforced Concrete (RC) structures requires the load‐deformation relationship to have a positive slope. In many realistic cases the slope is not positive. When this happens, most analytical approaches consider the maximum point as the failure point or use unrealistic material laws, e.g., the assumption of a positive slope when it really is negative. Hence, there is a need to develop a new analytical approach which recognizes load‐deflection relationships which have ascending and descending branches. A method based on the impulse momentum principle and the resistance force (IMR) of an RC structure is developed. The resistance force vector { R ( t )} is used in place of the stiffness approach. The material non‐linearity of RC systems can be elegantly accounted for in the { R ( t )} vector. An examination of numerical properties of the IMR method shows that stability and convergence are dependent on a time step length ratio. Applications of the IMR method which predict the inelastic seismic response of RC structures are performed.