REINFORCED CONCRETE BEAM AT ULTIMATE LIMIT STATE CONSIDERING VARIABILITY IN THE CONCRETE MIX DESIGN PARAMETERS
Abstract
Variability in design parameters of Civil Engineering infrastructure is inevitable at implementation in most practical situations, the effect of which can best be determined at design stage using reliability concepts. This study used First Order Reliability Method (FORM) to determine the effect of variation in Nano Engineered Concrete (NEC) mix design parameters on structural safety of Nano Engineered Reinforced Concrete (NERC) beams at ultimate limit state using reliability based sensitivity analysis. The variability in NEC mix design parameters was incorporated into EN1992-1-1(2008) design formulations using predictive models of NEC characteristic compressive strength developed on the basis of experimental data with the aid of DataFit statistical package. FORTRAN based subroutines of the NERC beam performance functions were developed and used for the reliability sensitivity analysis at ultimate limit state. Results indicate that variability in NEC mix design parameters affect structural safety of NERC beams in accordance with how the mix design parameter contributes to characteristic compressive strength development. Moreover, increase in nanosilica dosage beyond optimal value was found to have negative effect on structural safety of NERC beams. The study found that compressive strength contributes to tensile strength of NERC beams through composite action. Furthermore, the study suggested that the effect of variability in concrete mix design parameters be incorporated in design formulations of Civil Engineering Codes of Practice to aid estimation of safety of structural elements to be designed and produced with NEC for improved safety, sustainability and resilience of Civil Engineering infrastructure.
References
Abejide O.S, (2014). Reliability Analysis of Bending, Shear and Deflection Criteria of Reinforced Concrete Slabs. Nigerian Journal of Technology. 33(3): 394-400.
Abejide, O. S. and Adamu, I. M (2013). Probabilistic Limit State Prediction of Web Shear Yielding in Steel Beams and Columns. Academia Journal of Scientific Research, 1(10):156-171.
Adamu, I. M, Kaura, J. M, Lawan, A., and Ocholi, A. (2020a). Effect of Nanosilica on the Mechanical and Microstructural Properties of a Normal Strength Concrete Produced in Nigeria. Nigerian Journal of Technology. 39(3): 710-720.
Adamu, I. M, Kaura, J. M, Lawan, A., and Ocholi, A. (2020b). Strength Development Characteristics and Microstructural Properties of High Strength Concrete having Optimal Nanosilica Dosage (2020b). FUDMA Journal of Sciences. 4(1): 480-489.
Adamu, I. M. (2014). Suitability of Some Common Nigerian Timber Species for use as Simply Supported Bridge Beams using Eurocodes. A Thesis submitted to School of Postgraduate Studies for the Award of Master of Science Degree in Civil Engineering, Department of Civil Engineering, Ahmadu Bello University, Zaria, Nigeria.
ACI 211.2-98 (2004). Standard Practice for Selecting Proportions for Normal, Heavyweight and Mass Concrete. American Concrete Institute, Farmington Hills, Michigan, United States of America.
ACI 211.4R-93 (1998). Guideline for Selecting Proportions for High-Strength Concrete with Portland Cement and Fly Ash. American Concrete Institute, Farmington Hills, Michigan, United States of America.
AISC (2005). Specifications for Structural Steel Buildings. American Institute of Steel Construction Inc, Chicago, Illinois.
Aly, S., Achraf, A., and Mohamed, Z. (2018). Beneficial Use of Nano-Silica in Concrete: A Review. Trends in Civil Engineering and its Architecture. 1(1): 1-3.
Ang, A. H-S. and Tang, W. H. (1984). Probability Concepts in Engineering Planning and Design: Decision, Risk and Reliability. John Wiley and Sons, USA.
ASTM C33/C33M (2018). Standard Specifications for Concrete Aggregate. American Society for Testing and Materials, Harbor Drive, West Conshocken, Pennsylvania, United States of America.
ARMORSIL (2017). Hydroplast 500: Slump Extending and Workability Enhancing (PCE) Super-plastisizer. Armorsil Manufacturing Corporation, Chestnut Street, Philadelphia, Pennsylvania, United States of America.
Ashani, H. R, Parikh, S. P and Markna, J. H (2015). The Role of Nanotechnology in Concrete a Cement Based Material: A Critical Review on Mechanical Properties and Environmental Impact. International Journal of Nanoscience and Nanotechnology. 2(5): 32 – 35.
Behzadian, R., and Shahrajabian, H. (2019). Experimental Study of the Effect of Nanosilica on the Mechanical Properties of Concrete/PET Composites. Korean Society of Civil Engineering (KSCE) Journal of Civil Engineering. 23(8): 3660-3668.
BS EN 12620 (2013). Aggregates for Concrete. Incorporating Annex A1(2008). British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
BS EN933-1 (2012). Tests for Geometric Properties of Aggregatess - Part 1: Determination of Particle Size Distribution – Sieving Method. British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
BS EN12350-2 (2009). Testing Fresh Concrete – Part 2: Slump Test. British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
BS EN12390-1 (2012). Testing Hardened Concrete - Part 1: Shape, Dimensions and other Requirements for Specimens and Molds. British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
BS EN 12390 - 2 (2009). Testing Hardened Concrete - Part 2: Making and Curing Specimens for Strength Tests. British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
BS EN 12390 - 3 (2009). Testing Hardened Concrete - Part 3: Compressive Strength of Test Specimens. British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
BS EN1008 (2002). Mixing Water for Concrete - Specification for Sampling, Testing and Assessing the Suitability of Water, Including Water Recovered from Processes in the Concrete Industry, as Mixing Water for Concrete. British Standards Institution, Her Majesty Stationery Office, London, United Kingdom.
Bouassida, Y., Bouchon, E., Crespo, P., Crose, P., Davaine, L., Denton, S., Feldmann, M., Frank, R., Hanswille, G., Hensen, W., Kolias, B., Malakotas, N., Mancini, G., Ortega, M., Raoul, J., Sedlacek, G., Tsionis, G. (2010). Bridge Design to Eurocodes Worked Examples. In: Workshop “Bridge Design to Eurocodes”, 4-6 October, 2010, Vienna, Austria. Joint Research Centre (JRC) Scientific and Technical Reports (2012).
Domone, P. (2010). Part 3: Concrete. In: Construction Materials: Their Nature and Behavior. Fourth Edition, eds, Damon, P., and Illston, J., Spon Press, Tylor and Francis, 2 Park Square, Milton Park, Abingdon, United Kingdom, pp: 83-205.
EN 1992-1-1: EC2 (2008). Eurocode 2 - Design of Concrete Structures. European Committee for Standardisation (CEN), Brussels, Belgium.
Fiessler, B., Neumann, H. J. and Rackwitz, R. (1979). Quadratic Limit States in Structural Reliability. Journal of Engineering Mechanics Division, American Society of Civil Engineers (ASCE). 105(EM4): 661-676.
Gollwitzer, S., Abdo, T. and Rackwiz, K. (1988). First Order Reliability Method (FORM), User Manual. RCP-GMBH, Munich, West Germany.
Halder, A. and Mahadevan, S. (2000). Reliability Assessment using Stochastic Finite Element Analysis. First Edition, John Wiley and Sons Inc, United States of America.
Hasofer, A. M. and Lind, N. (1974). An Exact and Invariant First Order Reliability Format. Journal of Engineering Mechanics, ASCE. 100 (EM1): 111-121.
Lee, Y. H., Scanton, A., and Kim, H. (2007). Deflection Control of Concrete Members based on Utility Theory. Technical Paper of American Concrete Institute (ACI) Structural Journal. Title No. 104-S07.
MS Excel (2007). Microsoft Office Excel. Microsoft Corporation, One Microsoft Way Redmond, WA 98052-7329, USA.
Narayanan, R. S. (2008). Attributable Forward to the Commentary and Worked Examples to Eurocode 2. In: Eurocode 2 Worked Examples. European Concrete Flatform, ASBL, Brussels, Belgium.
Neville, A. M., and Brooks, J. J. (2010). Concrete Technology. Second Edition. Pearson Education Limited, Prentice Hall, Edinburg Gate, Harlow, United Kingdom.
Nowak, A. S. (2004). Survey of Textbooks on Reliability and Structures. Report on the Special Project Sponsored by the Structural Engineering Institute of American Society of Civil Engineers (ASCE), United States of America.
Nowak, A. S. and Collins, K. R. (2000). Reliability of Structures. McGraw-Hill Companies, United States of America.
Oakdale Engineering (2019). DataFit Version 9.1.32. 23. Tomey Rd, Oakdale, PA 15071, United States of America. http://www.oakdaleengr.com/download.htm.
Qianru. G, and Ann E. Jeffers, (2013). Stochastic Finite Element Methods for the Reliability-based Design Fire-Resistant Design of Structures. In: Proceedings of Applications of Structural Fire Engineering Conference, 19-20 April 2013, Prague, Czech Republic.
Rackwitz, R. (1976). Practical Probability Approach to Design. Bulletin 112, Comite European du Beton, Paris, France, PP: 13-71.
Rackwitz, R., and Fiessler, B. (1978). Structural Reliability under Combined Random Load Sequences. Computers and Structures. 9(10): 489 – 494.
Rajkumar, R., Akkineni, S. T., and Ramya, S (2016). Experimental Study on the Strength and Durability of Nano Concrete. International Journal of Applied Engineering Research. 11( 4): 2854-2858.
Stewart, M. G. (1996). Serviceability Reliability Analysis of Reinforced Concrete Structures. Journal of Structural Engineering. 122(7):794-802.
Sovolev, K., Flores, I., Hermosillo, R., and Torres-Martinez, L. M. (2016). Nanomaterials and Nanotechnology for High-Performance Cement Composites. Proceedings of American Concrete Institute (ACI) Session on “Nanotechnology of Concrete: Recent Development and Future Perspectives, Denver, United States of America.
Sovolev, K., and Sanchez, F. (2010). Nanotechnology in Concrete - A Review. Elsevier Journal of Construction and Building Materials. 24(10): 2060-2071.
Torgal, F. P, Diamanti, M. V, Naziri, A and Granqvist, C. G (2013). Nanotechnology in Eco-Efficient Construction. Wood Head Publication in Materials. 1-428, ISBN: 978-0-85709-544-2.
United Kingdom Ministry of Defence (1991). Reliability Handbook. McGraw-Hill, New York, United States of America.
Venkat-Rao, N., Rajasekhar, M., Vijayalakshmi, K. and Vamshykrishna, M. (2015). The Future of Civil Engineering with the Influence and Impact of Nanotechnology on Properties of Materials. In 2nd International Conference on Nanomaterials and Technologies (CNT 2014), Procedia Material Science, ScienceDirect, 10: 111-115.
Wasiu J and Adedeji A.A (2018). Reliability Assessment of Reinforced Concrete Beam with Embedded PVC Pipes below the Neutral Axis. International Journal of Multidisciplinary Sciences and Engineering. 9(1): 9-18.
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