and Applied Mechanics
56, 4, pp. 1043-1053, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.1043
Assessment of the strength reduction factor in predicting the flexural strength
-controlled sections to compression-controlled sections to increase safety with decreasing
ductility. This paper presents how to determine the reduction factor for flexural strength
of reinforced concrete beams according to ACI code. In the reliability-based design, the
reliable prediction of the flexural strength of reinforced concrete members is assured by the
use of reduction factors corresponding to different target reliability index . In this study,
for different and coefficients of variation of the flexural strength parameters, the flexural
strength reduction factor has been investigated by using experimental studies available in
the literature. In the reliability analysis part of the study, the first-order second moment
approach (FOSM) has been used to determine the reduction factor. It has also been assumed
that the random variables are statistically independent.
References
AASHTO LRFD: Bridge Design Specifications, 1998, American Association of State Highway and
Transportation Officials, Washington, DC
ACI, 1995, ACI 318M-95: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
ACI, 1999, ACI 318M-99: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
ACI, 2002, ACI 318R-02: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
ACI, 2005, ACI 318R-05: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
ACI, 2008, ACI 318R-08: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
ACI, 2011, ACI 318R-11: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
ACI, 2014, ACI 318-14: Building Code Requirements for Structural Concrete and Commentary,
ACI, Farmington Hills, MI, USA
Akiyama M., Matsuzaki H., Dang H.T., Suzuki M., 2012, Reliability-based capacity design
for reinforced concrete bridge structures, Structure and Infrastructure Engineering, Maintenance,
Management, Life-Cycle Design and Performance, 8, 12, 1096-1107
Ang A.H.S., TangW.H., 1984, Probability Concepts in Engineering Planning and Design. Vol. II,
Decision, Risk, and Reliability, Wiley, New York, NY, USA
Arslan G., Alacali S., Sagiroglu A., 2016a, Assessing reduction in concrete shear strength
contribution, Proceedings of the Institution of Civil Engineers, Structures and Building, 169, 4, 237-244
Arslan G., Alacalı S.N., Sagiroglu A., 2016, The investigation of the strength reduction
factor in predicting the shear strength, Journal of Theoretical and Applied Mechanics, 53, 2, 371-381
Arslan G., Alacali S.N., Sagiroglu A., 2017, Determining the reduction factor in predicting
the contribution of concrete to shear strength by using a probabilistic method, International Journal
of Civil Engineering (IJCE) Transaction A: Civil Engineering, in reviewer
Arslan G., Cihanlı E., 2010, Curvature ductility prediction of reinforced high-strength concrete
beam sections, Journal of Civil Engineering and Management (JCEM), 16, 4, 462-470
Ashour S.A., 2000, Effect of compressive strength and tensile reinforcement ratio on flexural
behavior of high-strength concrete beams, Engineering Structures, 22, 5, 413-423
British Standards Institution – Part 1, 1997, Structural Use of Concrete: Code of Practice for
Design and Construction, BSI, London, BS 8110
Chinese Design Code for Highway Bridges-Beijing, 1991, People’s Communication Press
Du J.S., Au F.T.K., 2005, Deterministic and reliability analysis of prestressed concrete bridge
girders: comparison of the Chinese, Hong Kong and AASHTO LRFD Codes; Structural Safety, 27, 230-245
Enright, M.P., Frangopol, D.M., 1998, Probabilistic analysis of resistance degradation of
reinforced concrete bridge beams under corrosion, Engineering Structures, 20, 960-971
Eurocode ENV 1991-3. Eurocode 1, 1994, Basis of Design and Actions on Structures. Part 3, Traffic
Loads on Bridges, Final draft, August
European Committee for Standardisation, Design of Concrete Structures, Part 1, 1992, General
Rules and Rules for Buildings, European Committee for Standardisation, Brussels, EC 2
Hognestad E., 1951, A study of combined bending and axial load in reinforced concrete members,
Engineering Experiment Station Bulletin, 399, University of Illinois, Urbana, IL, USA
Hosseinnezhad A., Pourzeynali S., Razzaghi J., 2000, Aplication of first-order second mo-
ment level 2 reliability analysis of presstressed concrete bridges, 7th International Congress on Civil
Engineering
JCSS 2000, Probabilistic model code – Part III, Joint Committee on Structural Safety
Johnson B., Cox K.C., 1939, High yield-point steel as tension reinforcement in beams, AC1
Journal Proceedings, 36, 1, 65-80
Low H.Y., Hao H., 2001, Reliability analysis of reinforced concrete slabs under explosive loading,
Structural Safety, 23, 2, 157-178
Lu R.H., Luo Y.H., Conte J.P., 1994, Reliability evaluation of reinforced concrete beams,
Structural Safety, 14, 4, 277-298
Minimum Design Loads for Buildings and Other Structures (SEI/ASCE 7-02), 2002, American
Society of Civil Engineers, http://dx.doi.org/10.1061/9780784406243.
Mirza S.A., 1996, Reliability-based design of reinforced concrete columns, Structural Safety, 18. 2/3, 179-194
Naaman A.E., 2004, Limits of reinforcement in 2002 ACI code, transition, flaws, and solution,
ACI Structural Journal, 101, 2, 209-218
National Standard of the People’s Republic of China, 1989, Code for Seismic Design of Buildings,
GBJ11-89 (in Chinese)
Nowak A.S., Collins K.R., 2000, Reliability of Structures, McGraw Hill, Boston, MA, USA
Nowak A.S., Park C.H., Casas J.R., 2001, Reliability analysis of prestressed concrete bridge
girders: comparison of Eurocode, Spanish Norma IAP and AASHTO LRFD, Structural Safety, 23, 331-344
Nowak A.S., Szerszen M.M., 2003, Calibration of design code for buildings (ACI 318), Part 1
– Statistical models for resistance, ACI Structural Journal, 100, 3, 377-382
Nowak A.S., Szerszen M.M., Szwed S.A., Podhorecki P.J., 2005, Reliability-Based Cali-
bration for Structural Concrete, Report No. UNCLE 05-03, University of Nebraska
Ostlund L., 1991, An estimation of T-values, [In:] Reliability of Concrete Structures. CEB Bulletin
d’Information, 202, Lausanne, Switzerland
Pam J.H., Kwan A.K.H., Islam M.S., 2001, Flexural strength and ductility of reinforced normal-
and high-strength concrete beams, Structure and Buildings, 4, 381-389
Saatcioglu M., 2014, Chapter 1 – Design for Flexure, Published by Albert Path on Sep. 14
Soares R.C., Mohammed A., Venturini W.S., Lemaire M., 2002, Reliability analysis of
nonlinear reinforced concrete frames using the response surface method, Reliability Engineering
and System Safety, 75, 1-16
Spanish Norma IAP-98, 1998, Actions in highway bridges, Road Directorate, Spanish Ministry of
Public Works, Madrid
Structures Design Manual for Highways and Railways, 1997, Highways Department, Government
of the Hong Kong Special Administrative Region, 2nd ed., with Amendment No. 1/2002, Hong
Kong
Szerszen M.M., Szwed A., Nowak A.S., 2005, Reliability analysis for eccentrically loaded
columns, ACI Structural Journal, 102, 5, 676-688
Val D., Bljuger F., Yankelevsky D., 1997, Reliability evaluation in nonlinear analysis of
reinforced concrete structures, Structural Safety, 19, 2, 203-217
Wieghaus K.T., Atadero R.A., 2011, Effect of existing structure and FRP uncertainties on the
reliability of FRP-based repair, Journal of Composites for Construction, 15, 4, 635-643