DOI QR코드

DOI QR Code

Design optimization of reinforced concrete structures

  • Guerra, Andres (Colorado School of Mines, Division of Engineering) ;
  • Kiousis, Panos D. (Colorado School of Mines, Division of Engineering)
  • 투고 : 2006.04.18
  • 심사 : 2006.08.25
  • 발행 : 2006.10.25

초록

A novel formulation aiming to achieve optimal design of reinforced concrete (RC) structures is presented here. Optimal sizing and reinforcing for beam and column members in multi-bay and multistory RC structures incorporates optimal stiffness correlation among all structural members and results in cost savings over typical-practice design solutions. A Nonlinear Programming algorithm searches for a minimum cost solution that satisfies ACI 2005 code requirements for axial and flexural loads. Material and labor costs for forming and placing concrete and steel are incorporated as a function of member size using RS Means 2005 cost data. Successful implementation demonstrates the abilities and performance of MATLAB's (The Mathworks, Inc.) Sequential Quadratic Programming algorithm for the design optimization of RC structures. A number of examples are presented that demonstrate the ability of this formulation to achieve optimal designs.

키워드

참고문헌

  1. American Concrete Institute (ACI)(2002), Committee 318 Building Code Requirements for Structural Concrete (ACI 318-02) and Commentary (ACI 318R-02), Detroit
  2. Balling, R.J. and Yao, X. (1997), 'Optimization of reinforced concrete frames', J. Struct. Eng., ASCE, 123(2), 193-202 https://doi.org/10.1061/(ASCE)0733-9445(1997)123:2(193)
  3. Camp, C.V., Pezeshk, S., and Hansson, H. (2003), 'Flexural design of reinforced concrete frames using a genetic algorithm', J. Struct. Eng., ASCE, 129(1), 105-115 https://doi.org/10.1061/(ASCE)0733-9445(2003)129:1(105)
  4. Construction Publishers and Consultants (2005), RS Means Concrete and Masonry Cost Data 23rd Ed. Reed Construction Data, Inc. MA
  5. Edgar, T.F., and Himmelblau, D.M. (1998), Optimization of Chemical Processes, 2nd ed. New York, McGraw Hill
  6. Lee, C., and Ahn, J. (2003), 'Flexural design of reinforced concrete frames by genetic algorithm', J. Struct. Eng., ASCE, 129(6), 762-774 https://doi.org/10.1061/(ASCE)0733-9445(2003)129:6(762)
  7. McCormac, J.C., (2001), Design of Reinforced Concrete, 5th ed. New York, John Wiley and Sons, Inc
  8. Moharrami, H., and Grierson, D.E., (1993), 'Computer-automated design of reinforced concrete frameworks', J. Struct. Eng., ASCE, 119(7), 2036-2058 https://doi.org/10.1061/(ASCE)0733-9445(1993)119:7(2036)
  9. The Mathworks Inc. 'Constrained optimization', http://www.mathworks.com/access/helpdesk/help/toolbox/optim/utor13b.shtml#51152 Accessed April 1, 2004
  10. SEI/ASCE 7-98, (2000), Minimum Design Loads for Buildings and Other Structures, American Society of Civil Engineers, Reston VA

피인용 문헌

  1. Optimal parameters and performance of artificial bee colony algorithm for minimum cost design of reinforced concrete frames vol.151, 2017, https://doi.org/10.1016/j.engstruct.2017.08.059
  2. Shape optimization of steel reinforced concrete beams vol.4, pp.4, 2007, https://doi.org/10.12989/cac.2007.4.4.317
  3. Harmony Search Algorithm Approach for Optimum Design of Post-Tensioned Axially Symmetric Cylindrical Reinforced Concrete Walls vol.164, pp.1, 2015, https://doi.org/10.1007/s10957-014-0562-2
  4. Optimal design of reinforced concrete beams: A review vol.13, pp.4, 2014, https://doi.org/10.12989/cac.2014.13.4.457
  5. Optimum buckling design of axially layered graded uniform columns vol.57, pp.5, 2015, https://doi.org/10.3139/120.110734
  6. Design Optimization of Reinforced Concrete Frames vol.05, pp.01, 2015, https://doi.org/10.4236/ojce.2015.51008
  7. Optimum design of RC continuous beams considering unfavourable live-load distributions vol.21, pp.4, 2017, https://doi.org/10.1007/s12205-016-2045-5
  8. Optimal shakedown analysis of plane reinforced concrete frames according to Eurocodes vol.13, pp.2, 2017, https://doi.org/10.1007/s10999-015-9331-0
  9. Strength design criterion for asymmetrically reinforced RC circular cross-sections in bending vol.11, pp.6, 2013, https://doi.org/10.12989/cac.2013.11.6.571
  10. Optimum seismic design of reinforced concrete frame structures vol.17, pp.6, 2016, https://doi.org/10.12989/cac.2016.17.6.761
  11. Concrete Structure Design using Mixed-Integer Nonlinear Programming with Complementarity Constraints vol.21, pp.3, 2011, https://doi.org/10.1137/090778286
  12. Machine Learning and Optimality in Multi Storey Reinforced Concrete Frames vol.2, pp.2, 2017, https://doi.org/10.3390/infrastructures2020006
  13. Optimization of reinforced concrete polygonal sections under biaxial bending with axial force vol.15, pp.10, 2018, https://doi.org/10.1590/1679-78254252
  14. Revenue Optimization of Pipelines Construction and Operation Management Based on Quantum Genetic Algorithm and Simulated Annealing Algorithm vol.06, pp.06, 2018, https://doi.org/10.4236/jamp.2018.66102
  15. Automated layout design of multi-span reinforced concrete beams using charged system search algorithm vol.35, pp.3, 2018, https://doi.org/10.1108/EC-05-2017-0188
  16. Optimization of Reinforced Concrete Column Using Android- based Mobile Application vol.258, pp.2261-236X, 2019, https://doi.org/10.1051/matecconf/201925802009
  17. Analysis of the state of prestressed structure using data collection simulation technique vol.262, pp.2261-236X, 2019, https://doi.org/10.1051/matecconf/201926208006
  18. Optimization of reinforced concrete beams using Solver tool vol.12, pp.4, 2006, https://doi.org/10.1590/s1983-41952019000400011
  19. A fast and robust procedure for optimal detail design of continuous RC beams vol.24, pp.4, 2019, https://doi.org/10.12989/cac.2019.24.4.313
  20. Minimum cost design of RCMRFs based on consistent approximation method vol.26, pp.1, 2020, https://doi.org/10.12989/cac.2020.26.1.001
  21. Design Optimization of RC Frames using Particle Swarm Optimization Technique vol.955, pp.None, 2006, https://doi.org/10.1088/1757-899x/955/1/012022
  22. New explicit formulas for optimum design of concrete gravity dams vol.27, pp.2, 2006, https://doi.org/10.12989/cac.2021.27.2.143