Technical Papers
Oct 24, 2011

Uncertainty Analysis of Flexural Overstrength Ratio for RC Columns

Publication: Journal of Structural Engineering
Volume 138, Issue 8

Abstract

This paper summarizes the results of a comprehensive statistical study of the flexural overstrength ratio for estimation of the probable flexural strength of ductile RC columns with varying geometries and confinement levels. The material and section properties and the analytical model response are modeled as random variables and their effects on section behavior are assessed through statistical evaluation. For randomly sampled values of the considered variables, the sectional analyses are carried out using a computer program that uses various confined and unconfined concrete models to obtain the maximum flexural strength in the moment-curvature relationship. The effect of variability is investigated by examining the response distributions resulting from Monte Carlo simulations. Furthermore, a simple expression is derived for estimation of the probable flexural strength using the flexural overstrength ratio with the 10% probability of being exceeded. Finally, the proposed method is compared with ACI 318, Eurocode 8, and the Turkish seismic design code provisions.

Get full access to this article

View all available purchase options and get full access to this article.

References

American Concrete Institute (ACI). (2005). “Building code requirements for structural concrete and commentary.” ACI Committee 318, Farmington Hills, MI.
Ang, B. G., Priestley, M. J. N., and Park, R. (1981). “Ductility of reinforced bridge piers under seismic loading.” Rep. 81-3, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Ang, B. G., Priestley, M. J. N., and Paulay, T. (1985). “Seismic shear strength of circular bridge piers.” Rep. 85-5, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Ang, B. G., Priestley, M. J. N., and Paulay, T. (1989). “Seismic shear strength of circular reinforced concrete columns.” ACI Struct. J.ASTJEG, 86(1), 45–59.
Aschheim, M., Moehle, J. P., and Mahin, S. A. (1997). “Design evaluation of R/C bridges for seismic resistance.” Rep. EERC 97-04, Univ. of California, Berkeley, Berkeley, CA.
Atalay, M. B., and Penzien, J. (1975). “The seismic behavior of critical regions of reinforced concrete components as influenced by moment, shear and axial force.” Rep. No. EERC 75-19, Univ. of California, Berkeley, Berkeley, CA.
Aydemir, C., Zorbozan, M., and Alacalı, N. S. (2009). “Determination of moment capacity Mp for R/C columns.” Tech. J. Turk. Chamber Civ. Eng., 20(1), 4545–4565.
Azizinamini, A., Johal, L. S., Hanson, N. W., Musser, D. W., and Corley, W. G. (1988). “Effects of transverse reinforcement on seismic performance of columns—a partial parametric investigation.” Project No. CR-9617, Construction Technology Laboratories, Skokie, IL.
Bae, S., and Bayrak, O. (2008). “Seismic performance of full-scale reinforced concrete columns.” ACI Struct. J.ASTJEG, 105(2), 123–133.
Bartlett, F. M., and MacGregor, J. G. (1996). “Statistical analysis of the compressive strength of concrete in structures.” ACI Mater. J.AMAJEF, 93(2), 158–168.
Belarbi, A., and Hsu, T. T. C. (1994). “Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete.” ACI Struct. J.ASTJEG, 91(4), 465–474.
Calderone, A. J., Lehman, D. E., and Moehle, J. P. (2000). “Behavior of reinforced concrete bridge columns having varying aspect ratios and varying lengths of confinement.” PEER Rep. 2000/08, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, Berkeley, CA.
Cheok, G. S., and Stone, W. C. (1986). “Behavior of 1/6-scale model bridge columns subjected to cycle inelastic loading.” NBSIR 86-3494,U.S. National Institute of Standards and Technology, Gaithersburg, MD.
Dymiotis, C., Kappos, A. J., and Chryssanthopoulos, M. K. (1999). “Seismic reliability of RC frames with uncertain drift and member capacity.” J. Struct. Eng.JSENDH, 125(9), 1038–1047.
Ersoy, U. (1998). “Moment capacity of reinforced concrete beams and columns.” Tech. J. Turk. Chamber Civ. Eng., 9(4), 1781–1797.
European Committee for Standardization (CEN). (2001). “Design of structures for earthquake resistance. Part 1: General rules.” Eurocode 8, prEN 1998-1, Draft No. 4, CEN, Brussels, Belgium.
Frangopol, D. M., Yutuka, I., Spacone, E., and Iwaki, I. (1996). “A new look at reliability of reinforced concrete columns.” Struct. Saf., 18(2–3), 123–150.
Gill, W. D., Park, R., and Priestley, M. J. N. (1979). “Ductility of rectangular reinforced concrete columns with axial load.” Rep. 79-1, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Grant, L. H., Mirza, S. A., and MacGregor, J. G. (1978). “Monte Carlo study of strength of concrete columns.” ACI Struct. J.ASTJEG, 75(8), 345–358.
Henry, L., and Mahin, S. A. (1999). Study of buckling of longitudinal bars in reinforced concrete bridge columns, California Dept. of Transportation, Sacramento, CA.
Hognestad, E. (1951). “A study of combined bending and axial load in reinforced concrete members.” Bulletin No. 399, Engineering Experiment Station, Univ. of Illinois at Urbana-Champaign, Urbana, IL.
Hose, Y. D., Seible, F., and Priestley, M. J. N. (1997). “Strategic relocation of plastic hinges in bridge columns.” Structural Systems Research Project 97/05, Univ. of California, San Diego, La Jolla, CA.
Israel, M., Ellingwood, B., and Corotis, R. (1987). “Reliability-based code formulations for reinforced concrete buildings.” J. Struct. Eng.JSENDH, 113(10), 2235–2252.
Kanda, M., Shirai, N., Adachi, H., and Sato, T. (1988). “Analytical study on elasto-plastic hysteretic behaviors of reinforced concrete members.” Trans. Jpn. Concr. Inst., 10, 257–264.
Kappos, A. J., Chryssanthopoulos, M. K., and Dymiotis, C. (1999). “Uncertainty analysis of strength and ductility of confined reinforced concrete members.” Eng. Struct.ENSTDF, 21(3), 195–208.
Kareem, A., and Hsieh, J. (1988). “Statistical analysis of tubular R/C sections.” J. Struct. Eng.JSENDH, 114(4), 900–916.
Kono, S., and Watanabe, F. (2000). “Damage evaluation of reinforced concrete columns under multiaxial cyclic loadings.” Proc. 2nd U.S.—Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, Sapporo, Japan.
Kowalsky, M. J., Priestley, M. J. N., and Seible, F. (1999). “Shear and flexural behavior of lightweight concrete bridge columns in seismic regions.” ACI Struct. J.ASTJEG, 96(1), 136–148.
Kunnath, S., El-Bahy, A., Taylor, A., and Stone, W. (1997). “Cumulative seismic damage of reinforced concrete bridge piers.” Technical Rep. NCEER-97-0006, National Center for Earthquake Engineering Research, Buffalo, NY.
Lehman, D. E., and Moehle, J. P. (2000). “Seismic performance of well-confined concrete bridge columns.” PEER Rep. 1998/01, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, Berkeley, CA.
Lu, Y., and Gu, X. (2004). “Probability analysis of RC member deformation limits for different performance levels and reliability of their deterministic calculations.” Struct. Saf., 26(4), 367–389.
Mander, J. B., Priestley, M. J. N., and Park, R. (1987). “Theoretical stress strain model for confined concrete.” J. Struct. Eng.JSENDH, 114(8), 1804–1826.
Matamoros, A. B. (1999). “Study of drift limits for high-strength concrete columns.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Illinois at Urbana-Champaign, Urbana, IL.
Ministry of Public Works and Settlement (MPWS). (2007). Turkish seismic design code, MPWS, Ankara, Turkey.
Mirza, S. H., Hatzinikolas, M., and MacGregor, J. G. (1979). “Statistical descriptions of strength of concrete.” J. Struct. Div.JSENEI, 105(6), 1021–1037.
Mirza, S. H., and MacGregor, J. G. (1979). “Variation in dimensions of reinforced concrete members.” J. Struct. Div.JSDEAG, 105(4), 751–766.
Mo, Y. L., and Wang, S. J. (2000). “Seismic behavior of RC columns with various tie configurations.” J. Struct. Eng.JSENDH, 126(10), 1122–1130.
Nagasaka, T. (1982). “Effectiveness of steel fiber as web reinforcement in reinforced concrete columns.” Trans. Jpn. Concr. Inst., 4, 493–500.
Nosho, K., Stanton, J., and MacRae, G. (1996). “Retrofit of rectangular reinforced concrete columns using Tonen Forca tow sheet carbon fiber wrapping.” Rep. No. SGEM 96-2, Dept. of Civil Engineering, Univ. of Washington, Seattle, WA.
Ohno, T., and Nishioka, T. (1984). “An experimental study on energy absorption capacity of columns in reinforced concrete structures.” Proc. JSCEF0028A, 1(2), 137–147.
Park, R., and Paulay, T. (1990). “Use of interlocking spirals for transverse reinforcement in bridge columns.” Strength and ductility of concrete substructures of bridges, Road Research Unit (RRU), 84(1), 77–92.
Paulay, T., and Priestley, M. J. N. (1992). Seismic design of reinforced concrete and masonry buildings, Wiley, New York.
Pipa, M., and Carvalho, E. C. (1994). “Reinforcing steel characteristics for earthquake resistant structures.” Proc., 10th European Conf. on Earthquake Engineering, Vol. 4, Balkema, Rotterdam, Netherlands, 2887–2892.
Ruiz, S. E., and Aguilar, J. C. (1994). “Reliability of short and slender reinforced-concrete columns.” J. Struct. Eng.JSENDH, 120(6), 1850–1865.
Saatcioglu, M., and Baingo, D. (1999). “Circular high-strength concrete columns under simulated seismic loading.” J. Struct. Eng.JSENDH, 125(3), 272–280.
Saatcioglu, M., and Grira, M. (1999). “Confinement of reinforced concrete columns with welded reinforcement grids.” ACI Struct. J.ASTJEG, 96(1), 29–39.
Saatcioglu, M., and Ozcebe, G. (1989). “Response of reinforced concrete columns to simulated seismic loading.” ACI Struct. J.ASTJEG, 86(1), 3–12.
Saatcioglu, M., and Ravzi, S. R. (1991). “Flexural members with confined concrete.” J. Struct. Div.JSDEAG, 97(7), 1969–1990.
Scott, B. D., Park, R., and Priestley, M. J. N. (1982). “Stress—strain behavior of concrete confined by overlapping hoops at low and high strain rates.” ACI Struct. J.ASTJEG, 79(1), 13–27.
Soesianawati, M. T., Park, R., and Priestley, M. J. N. (1986). “Limited ductility design of reinforced concrete columns.” Rep. 86-10, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Sritharan, S., Priestley, M. J. N., and Seible, F. (1996). “Seismic response of column/cap beam tee connections with cap beam prestressing.” Structural Systems Research Project Rep. No. SSRP-96/09, Univ. of California, San Diego, CA.
STATISTICA 6.0 for Windows [Computer software]. StatSoft, Inc., Tulsa, OK.
Tanaka, H., and Park, R. (1990). “Effect of lateral confining reinforcement on the ductile behavior of reinforced concrete columns.” Rep. 90-2, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Tichy, M., and Vorlicek, M. (1962). “Safety of eccentrically loaded reinforced concrete columns.” J. Struct. Div.JSDEAG, 88(5), 1–10.
Trezos, C. G. (1997). “Reliability considerations on the confinement of RC columns for ductility.” Soil Dyn. Earthquake Eng.IJDEDD, 16(1), 1–8.
Watson, S., and Park, R. (1989). “Design of reinforced concrete frames of limited ductility.” Rep. 89-4, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Wong, Y. L., Paulay, T., and Priestley, M. J. N. (1990). “Squat circular bridge piers under multi-directional seismic attack.” Rep. 90-4, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Zahn, F. A., Park, R., and Priestley, M. J. N. (1986). “Design of reinforced bridge columns for strength and ductility.” Rep. 86-7, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 138Issue 8August 2012
Pages: 1042 - 1053

History

Received: Sep 21, 2010
Accepted: Oct 20, 2011
Published online: Oct 24, 2011
Published in print: Aug 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Cem Aydemir [email protected]
Assistant Professor, Dept. of Civil Engineering, İstanbul Aydin Univ., 34295 İstanbul, Turkey; formerly, Research Assistant, Dept. of Civil Engineering, Yıldız Technical Univ., 34349 İstanbul, Turkey (corresponding author). E-mail: [email protected]
Mustafa Zorbozan [email protected]
Associate Professor, Dept. of Civil Engineering, Yıldız Technical Univ., 34349 İstanbul, Turkey. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share