Abstract
Reinforced Concrete (RC) bridge columns can be subjected to combined flexure, shear, axial and torsional loadings under multidirectional earthquake motions and significant vertical motions, specifically in skewed and curved bridges, bridges with specific structural restraints, and bridges with unequal spans or column heights. This paper presents experimental and analytical studies to assess the damage progression of square RC bridge columns under combined loadings including torsion. The main variable in this study is the ratio of Torsional-to-bending Moments (T/M). The effects of combined loadings on the torsional and flexural hysteretic responses, strength, plastic hinge distribution, and progression of damage states are highlighted in this paper. A unified equivalent damage index model is proposed to couple the flexural and torsional actions for combined loadings. Quantified damage indices value under combined loadings can be correlated to the categorized damage states from a performance-based point of view. Based on the experimental and analytical results, the progression of damage was found to be amplified by the torsion effect, and the rotational ductility was decreased due to the effect of combined loadings.
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Belarbi, A., Prakash, S. S., and You, Y. M. (2009). “Effect of transverse spiral reinforcement on the seismic flexural-shear-torsional behavior of reinforced concrete circular bridge columns.” Journal of Structural Engineering and Mechanics, Vol. 33, No. 2, pp. 138–158.
Browning, B., Marvel, L., and Hindi, R. (2007). “Torsional ductility of circular concrete bridge columns.” ASCE Structures Congress, May 16–19, Long Beach, California.
Caltrans (2000). Caltrans bridge design specifications, LFD Version California Department of Transportation, Sacramento, California.
Hindi, R. A. and Sexsmith, R. G. (2001). “A proposed damage model for RC bridge columns under cyclic loading.” Earthquake Spectra, Vol. 17, No. 2, pp. 261–290.
Khashaee, P. (2005). “Damage-based seismic design of structures.” Earthquake Spectra, Vol. 21, No. 2, pp. 459–468.
Otsuka, H., Takeshita, E., Yabuki, W., Wang, Y., Yoshimura, T., and Tsunomoto, M. (2004). “Study on the seismic performance of reinforced concrete columns subjected to torsional moment, bending moment and axial force.” Proc. of the 13th World Conf. on Earthquake Engineering, Vancouver, Canada, Paper No. 393.
Park, Y. J. and Ang, A. H. S. (1985). “Mechanistic seismic damage model for reinforced concrete.” Journal of Structural Engineering, ASCE, Vol. 111, No. 4, pp. 722–739.
Prakash, S. S. and Belarbi, A. (2010). “Towards damage based design approach for RC bridge columns under combined loadings using damage index models.” Journal of Earthquake Engineering, Vol. 14, No. 3, pp. 363–389.
Rasmussen, L. J. and Baker, G. (1995). “Torsion in reinforced normal and high-strength concrete beams — Part 1: Experimental test series.” Structural Journal of the American Concrete Institute, Vol. 92, No. 1, pp. 56–62.
Tirasit, P. and Kawashima, K. (2007). “Seismic performance of square reinforced concrete columns under combined cyclic flexural and torsional loadings.” Journal of Earthquake Engineering, Vol. 11, No. 3, pp. 425–452.
Williams, M. S., Villemure, I., and Sexsmith, R. G. (1997). “Evaluation of seismic damage indices for concrete elements loaded in combined shear and flexure.” ACI Structural Journal, Vol. 6, No. 1, pp. 37–45.
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Li, Q., Belarbi, A. Damage assessment of square RC bridge columns subjected to torsion combined with axial compression, flexure, and shear. KSCE J Civ Eng 17, 530–539 (2013). https://doi.org/10.1007/s12205-013-0600-x
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DOI: https://doi.org/10.1007/s12205-013-0600-x