The Earthquake Engineering Online Archive

Mathematical modelling of hysteresis loops for reinforced concrete columns

Nakata, Shinsuke; Sproul, Terry; Penzien, Joseph

UCB/EERC-78/11, Earthquake Engineering Research Center, University of California, Berkeley, 1978-06, 95 pages (515/N193/1978)

This paper estimates lateral force-deflection curves for reinforced concrete columns subjected to cyclic transverse loads and constant axial loads. These curves are determined in relation to particular column parameters such as shearspan ratio, longitudinal and horizontal reinforcement, and axial force. The data for this project were obtained from a series of tests reported by Atalay and Penzien and a series of tests made in Japan. From the latter test series, 104 specimens are selected, with shear span ratios ranging from 1.0 to 3.0. Summary equations are developed by statistical methods. This new model takes into account a greater number of parameters than previous models. The hysteresis loops generated from these equations are in better agreement with the test data than has been the case with previous models. In particular, the new model is compared with one developed previously by Atalay and Penzien.

Available online: http://nisee.berkeley.edu/documents/EERC/EERC-78-11.pdf (2 MB)