BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI

Hasan Tahsin Öztürk

doi:10.17482/uumfd.644684

Research Article

BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI

Year 2020, Volume: 25 Issue: 1, 361 - 378, 30.04.2020

Hasan Tahsin Öztürk

https://doi.org/10.17482/uumfd.644684

Abstract

Betonarme elemanların geleneksel yöntemlere göre tasarımına bir seçenek olan optimum tasarım süreçleri, yapay zekâ tekniklerinin gelişimine paralel olarak araştırmacıların daha çok ilgisini çekmektedir. Özellikle kaynakların giderek azalmasıyla mühendislik problemlerinde optimizasyon yapma gereksinimi hızla artmaktadır. Bu çalışmada betonarme kısa konsolların TS 500’e göre minimum maliyetle tasarımı Yapay Arı Koloni (ABC), Öğretme-Öğrenme Tabanlı Optimizasyon (TLBO) ve Öğretme-Öğrenme Tabanlı Dayalı Yapay Arı Koloni (TLABC) algoritmalarıyla gerçekleştirilmiştir. Algoritmaların başarımları çeşitli istatistiksel yöntemlerle karşılaştırılmış olup, TLABC algoritmasının başarımının diğer algoritmalara göre daha iyi olduğu belirlenmiştir. Gerçekleştirilen parametrik çalışmalarla konsol açıklığının, düşey ve yatay yük değişiminin maliyetleri nasıl etkilediği incelenmiştir.

Keywords

Optimizasyon, Kısa konsol, ABC, TLBO, TLABC

References

1. Akay, B. ve Karaboga, D. (2012) A modified Artificial Bee Colony algorithm for real-parameter optimization, Information Sciences, 192, 120–142. https://doi.org/10.1016/j.ins.2010.07.015
2. Akin, A. ve Saka, M. P. (2015) Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions, Computers and Structures, 147, 79–95. https://doi.org/10.1016/j.compstruc.2014.10.003
3. Amir, O. ve Shakour, E. (2018) Simultaneous shape and topology optimization of prestressed concrete beams, Structural and Multidisciplinary Optimization, 57(5), 1831–1843. https://doi.org/10.1007/s00158-017-1855-5
4. Arroyo, O. ve Gutiérrez, S. (2017) A seismic optimization procedure for reinforced concrete framed buildings based on eigenfrequency optimization, Engineering Optimization, 49(7), 1166–1182. https://doi.org/10.1080/0305215X.2016.1241779
5. Bekdaş, G. ve Temür, R. (2018) Grey wolf optimizer for optimum design of reinforced concrete cantilever retaining walls, AIP Conference Proceedings, 1978(July): https://doi.org/10.1063/1.5043893
6. Bruno, D., Lonetti, P. ve Pascuzzo, A. (2016) An optimization model for the design of network arch bridges, Computers and Structures, 170, 13–25. https://doi.org/10.1016/j.compstruc.2016.03.011
7. Cai, H., Aref, A. J. (2015a) A genetic algorithm-based multi-objective optimization for hybrid fiber reinforced polymeric deck and cable system of cable-stayed bridges, Structural and Multidisciplinary Optimization, 52(3), 583–594. https://doi.org/10.1007/s00158-015-1266-4
8. Cai, H. ve Aref, A. J. (2015b) On the design and optimization of hybrid carbon fiber reinforced polymer-steel cable system for cable-stayed bridges, Composites Part B: Engineering, 68, 146–152. https://doi.org/10.1016/j.compositesb.2014.08.031
9. Camp, C. V. ve Huq, F. (2013) CO2 and cost optimization of reinforced concrete frames using a big bang-big crunch algorithm, Engineering Structures, 48, 363–372. https://doi.org/10.1016/j.engstruct.2012.09.004
10. Caratelli, A., Meda, A., Rinaldi, Z., Spagnuolo, S. ve Maddaluno, G. (2017) Optimization of GFRP reinforcement in precast segments for metro tunnel lining, Composite Structures, 181, 336–346. https://doi.org/10.1016/j.compstruct.2017.08.083
11. Carbonell, A., González-Vidosa, F. ve Yepes, V. (2011) Design of reinforced concrete road vaults by heuristic optimization, Advances in Engineering Software, 42(4), 151–159. https://doi.org/10.1016/j.advengsoft.2011.01.002
12. Esfandiari, M. J., Urgessa, G. S., Sheikholarefin, S. ve Dehghan Manshadi, S. H. (2018) Optimization of reinforced concrete frames subjected to historical time-history loadings using DMPSO algorithm, Structural and Multidisciplinary Optimization, 58(5), 2119–2134. https://doi.org/10.1007/s00158-018-2027-y
13. Fabbrocino, F., Modano, M., Farina, I., Carpentieri, G. ve Fraternali, F. (2017) Optimal prestress design of composite cable-stayed bridges, Composite Structures, 169, 167–172. https://doi.org/10.1016/j.compstruct.2016.09.008
14. Gandomi, A. H. ve Kashani, A. R. 2018. Automating pseudo-static analysis of concrete cantilever retaining wall using evolutionary algorithms, Measurement: Journal of the International Measurement Confederation, 115(July 2017), 104–124. https://doi.org/10.1016/j.measurement.2017.10.032
15. García-Segura, T. ve Yepes, V. (2016) Multiobjective optimization of post-tensioned concrete box-girder road bridges considering cost, CO2 emissions, and safety, Engineering Structures, 125, 325–336. https://doi.org/10.1016/j.engstruct.2016.07.012
16. García-Segura, T., Yepes, V., Frangopol, D. M. ve Yang, D. Y. (2017) Lifetime reliability-based optimization of post-tensioned box-girder bridges, Engineering Structures, 145, 381–391. https://doi.org/10.1016/j.engstruct.2017.05.013
17. Ghaleini, E. N., Koopialipoor, M., Momenzadeh, M., Sarafraz, M. E. ve Mohamad, E. T., Gordan, B. (2019), A combination of artificial bee colony and neural network for approximating the safety factor of retaining walls, Engineering with Computers, 35(2), 647–658. https://doi.org/10.1007/s00366-018-0625-3
18. Ghodoosi, F., Abu-Samra, S., Zeynalian, M. ve Zayed, T. (2018) Maintenance cost optimization for bridge structures using system reliability analysis and genetic algorithms, Journal of Construction Engineering and Management, 144(2), 1–10. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001435
19. Gordan, B., Koopialipoor, M., Clementking, A., Tootoonchi, H. ve Tonnizam Mohamad, E. (2019) Estimating and optimizing safety factors of retaining wall through neural network and bee colony techniques, Engineering with Computers, 35(3), 945–954. https://doi.org/10.1007/s00366-018-0642-2
20. Kalateh-Ahani, M. ve Sarani, A. (2019) Performance-based Optimal Design of Cantilever Retaining Walls, Periodica Polytechnica Civil Engineering, 63(2), 660–673. https://doi.org/10.3311/ppci.13201
21. Karaboga, D. ve Akay, B. (2009) A comparative study of Artificial Bee Colony algorithm. Applied Mathematics and Computation, 214(1), 108–132. https://doi.org/10.1016/j.amc.2009.03.090
22. Kaveh, A., Maniat, M. ve Arab Naeini, M. (2016) Cost optimum design of post-tensioned concrete bridges using a modified colliding bodies optimization algorithm, Advances in Engineering Software, 98, 12–22. https://doi.org/10.1016/j.advengsoft.2016.03.003
23. Martí, J. V., García-Segura, T. ve Yepes, V. (2016) Structural design of precast-prestressed concrete U-beam road bridges based on embodied energy, Journal of Cleaner Production, 120:, 231–240. https://doi.org/10.1016/j.jclepro.2016.02.024
24. Martí, J. V., Yepes, V. ve González-Vidosa, F. (2015) Memetic algorithm approach to designing precast-prestressed concrete road bridges with steel fiber reinforcement, Journal of Structural Engineering, 141(2), 1–9. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001058
25. Martins, A. M. B., Simões, L. M. C. ve Negrão, J. H. J. O. (2016a) Optimum design of concrete cable-stayed bridges. Engineering Optimization, 48(5), 772–791. https://doi.org/10.1080/0305215X.2015.1057057
26. Martins, A. M. B., Simões, L. M. C. ve Negrão, J. H. J. O. (2016b) Optimum design of concrete cable-stayed bridges with prestressed decks. International Journal of Computational Methods in Engineering Science and Mechanics, 17(5–6), 339–349. https://doi.org/10.1080/15502287.2016.1231237
27. Mergos, P. E. ve Mantoglou, F. (2019) Optimum design of reinforced concrete retaining walls with the flower pollination algorithm, Structural and Multidisciplinary Optimization. https://doi.org/10.1007/s00158-019-02380-x
28. Mukhopadhyay, T., Dey, T. K., Chowdhury, R., Chakrabarti, A. ve Adhikari, S. (2015) Optimum design of FRP bridge deck: an efficient RS-HDMR based approach. Structural and Multidisciplinary Optimization, 52(3), 459–477. https://doi.org/10.1007/s00158-015-1251-y
29. Öztürk, H.T., Türkeli, E. ve Durmuş, A. (2016) Optimum design of RC shallow tunnels in earthquake zones using artificial bee colony and genetic algorithms. Computers and Concrete, 17(4), 435–453. http://dx.doi.org/10.12989/cac.2016.17.4.435
30. Ozturk, H. T., ve Durmus, A. (2013). Optimum cost design of RC columns using artificial bee colony algorithm, Structural Engineering and Mechanics, 45(5), 643-654. : http://dx.doi.org/10.12989/sem.2013.45.5.643
31. Öztürk, H. T. ve Türkeli, E. 2019. Optimum design of rc retaining walls with key section using jaya algorithm, Journal of Polytechnic, 22(2), 283–291. https://doi.org/10.2339/politeknik.432031
32. Quaranta, G., Fiore, A. ve Marano, G. C. (2014) Optimum design of prestressed concrete beams using constrained differential evolution algorithm, Structural and Multidisciplinary Optimization, 49(3), 441–453. https://doi.org/10.1007/s00158-013-0979-5
33. Rao, R. V. ve Patel, V. (2013) An improved teaching-learning-based optimization algorithm for solving unconstrained optimization problems, Scientia Iranica, 20(3), 710–720. https://doi.org/10.1016/j.scient.2012.12.005
34. Rao, R. V., Savsani, V. J. ve Balic, J. (2012) Teaching-learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems, Engineering Optimization, 44(12), 1447–1462. https://doi.org/10.1080/0305215X.2011.652103
35. Sánchez-Olivares, G. ve Tomás, A. (2017) Improvements in meta-heuristic algorithms for minimum cost design of reinforced concrete rectangular sections under compression and biaxial bending, Engineering Structures, Elsevier Ltd: , 162–179. https://doi.org/10.1016/j.engstruct.2016.10.010
36. Shaqfa, M. ve Orbán, Z. (2019) Modified parameter-setting-free harmony search (PSFHS) algorithm for optimizing the design of reinforced concrete beams, Structural and Multidisciplinary Optimization, 60(3), 999–1019. https://doi.org/10.1007/s00158-019-02252-4
37. Uray, E., Çarbaş, S., Erkan, İ. H. ve Tan, Ö. (2019) Parametric investigation for discrete optimal design of a cantilever retaining wall, Challenge Journal of Structural Mechanics, 5(3), 108. https://doi.org/10.20528/cjsmec.2019.03.004
38. Van Loon, R. R. L., Pujadas-Gispert, E., Moonen, S. P. G. ve Blok, R. (2019) Environmental Optimization of Precast Concrete Beams Using Fibre Reinforced Polymers. Sustainability, 11(7):, 2174. https://doi.org/10.3390/su11072174
39. Yepes, V., Martí, J. V. ve García-Segura, T. (2015) Cost and CO2 emission optimization of precast-prestressed concrete U-beam road bridges by a hybrid glowworm swarm algorithm, Automation in Construction, 49, 123–134. https://doi.org/10.1016/j.autcon.2014.10.013
40. Yoon, Y. C., Kim, K. H., Lee, S. H. ve Yeo, D. (2018) Sustainable design for reinforced concrete columns through embodied energy and CO2 emission optimization, Energy and Buildings, 174:, 44–53. https://doi.org/10.1016/j.enbuild.2018.06.013

Performance of ABC, TLBO and TLABC Algorithms in Optimal Design of RC Corbel According to TS 500

Year 2020, Volume: 25 Issue: 1, 361 - 378, 30.04.2020

Hasan Tahsin Öztürk

https://doi.org/10.17482/uumfd.644684

Abstract

Optimal design processes, which are an alternative to the design of reinforced concrete elements compared to traditional methods, attract the attention of researchers in parallel with the development of artificial intelligence techniques. The need for optimization in engineering problems is increasing rapidly, especially as resources are becoming scarce. In this study, the design of reinforced concrete corbels with minimum cost according to TS 500 was realized with Artificial Bee Colony (ABC), Teaching-Learning Based Optimization (TLBO) and Teaching-Learning Based Artificial Bee Colony (TLABC) algorithms. The performance of the algorithms was compared with various statistical methods that the performance of the TLABC algorithm is better than other algorithms. The parametric studies carried out have examined how the cantilever span, vertical and horizontal load changes affect the costs.

Keywords

Optimization, Corbel, ABC, TLBO, TLABC

References

1. Akay, B. ve Karaboga, D. (2012) A modified Artificial Bee Colony algorithm for real-parameter optimization, Information Sciences, 192, 120–142. https://doi.org/10.1016/j.ins.2010.07.015
2. Akin, A. ve Saka, M. P. (2015) Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions, Computers and Structures, 147, 79–95. https://doi.org/10.1016/j.compstruc.2014.10.003
3. Amir, O. ve Shakour, E. (2018) Simultaneous shape and topology optimization of prestressed concrete beams, Structural and Multidisciplinary Optimization, 57(5), 1831–1843. https://doi.org/10.1007/s00158-017-1855-5
4. Arroyo, O. ve Gutiérrez, S. (2017) A seismic optimization procedure for reinforced concrete framed buildings based on eigenfrequency optimization, Engineering Optimization, 49(7), 1166–1182. https://doi.org/10.1080/0305215X.2016.1241779
5. Bekdaş, G. ve Temür, R. (2018) Grey wolf optimizer for optimum design of reinforced concrete cantilever retaining walls, AIP Conference Proceedings, 1978(July): https://doi.org/10.1063/1.5043893
6. Bruno, D., Lonetti, P. ve Pascuzzo, A. (2016) An optimization model for the design of network arch bridges, Computers and Structures, 170, 13–25. https://doi.org/10.1016/j.compstruc.2016.03.011
7. Cai, H., Aref, A. J. (2015a) A genetic algorithm-based multi-objective optimization for hybrid fiber reinforced polymeric deck and cable system of cable-stayed bridges, Structural and Multidisciplinary Optimization, 52(3), 583–594. https://doi.org/10.1007/s00158-015-1266-4
8. Cai, H. ve Aref, A. J. (2015b) On the design and optimization of hybrid carbon fiber reinforced polymer-steel cable system for cable-stayed bridges, Composites Part B: Engineering, 68, 146–152. https://doi.org/10.1016/j.compositesb.2014.08.031
9. Camp, C. V. ve Huq, F. (2013) CO2 and cost optimization of reinforced concrete frames using a big bang-big crunch algorithm, Engineering Structures, 48, 363–372. https://doi.org/10.1016/j.engstruct.2012.09.004
10. Caratelli, A., Meda, A., Rinaldi, Z., Spagnuolo, S. ve Maddaluno, G. (2017) Optimization of GFRP reinforcement in precast segments for metro tunnel lining, Composite Structures, 181, 336–346. https://doi.org/10.1016/j.compstruct.2017.08.083
11. Carbonell, A., González-Vidosa, F. ve Yepes, V. (2011) Design of reinforced concrete road vaults by heuristic optimization, Advances in Engineering Software, 42(4), 151–159. https://doi.org/10.1016/j.advengsoft.2011.01.002
12. Esfandiari, M. J., Urgessa, G. S., Sheikholarefin, S. ve Dehghan Manshadi, S. H. (2018) Optimization of reinforced concrete frames subjected to historical time-history loadings using DMPSO algorithm, Structural and Multidisciplinary Optimization, 58(5), 2119–2134. https://doi.org/10.1007/s00158-018-2027-y
13. Fabbrocino, F., Modano, M., Farina, I., Carpentieri, G. ve Fraternali, F. (2017) Optimal prestress design of composite cable-stayed bridges, Composite Structures, 169, 167–172. https://doi.org/10.1016/j.compstruct.2016.09.008
14. Gandomi, A. H. ve Kashani, A. R. 2018. Automating pseudo-static analysis of concrete cantilever retaining wall using evolutionary algorithms, Measurement: Journal of the International Measurement Confederation, 115(July 2017), 104–124. https://doi.org/10.1016/j.measurement.2017.10.032
15. García-Segura, T. ve Yepes, V. (2016) Multiobjective optimization of post-tensioned concrete box-girder road bridges considering cost, CO2 emissions, and safety, Engineering Structures, 125, 325–336. https://doi.org/10.1016/j.engstruct.2016.07.012
16. García-Segura, T., Yepes, V., Frangopol, D. M. ve Yang, D. Y. (2017) Lifetime reliability-based optimization of post-tensioned box-girder bridges, Engineering Structures, 145, 381–391. https://doi.org/10.1016/j.engstruct.2017.05.013
17. Ghaleini, E. N., Koopialipoor, M., Momenzadeh, M., Sarafraz, M. E. ve Mohamad, E. T., Gordan, B. (2019), A combination of artificial bee colony and neural network for approximating the safety factor of retaining walls, Engineering with Computers, 35(2), 647–658. https://doi.org/10.1007/s00366-018-0625-3
18. Ghodoosi, F., Abu-Samra, S., Zeynalian, M. ve Zayed, T. (2018) Maintenance cost optimization for bridge structures using system reliability analysis and genetic algorithms, Journal of Construction Engineering and Management, 144(2), 1–10. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001435
19. Gordan, B., Koopialipoor, M., Clementking, A., Tootoonchi, H. ve Tonnizam Mohamad, E. (2019) Estimating and optimizing safety factors of retaining wall through neural network and bee colony techniques, Engineering with Computers, 35(3), 945–954. https://doi.org/10.1007/s00366-018-0642-2
20. Kalateh-Ahani, M. ve Sarani, A. (2019) Performance-based Optimal Design of Cantilever Retaining Walls, Periodica Polytechnica Civil Engineering, 63(2), 660–673. https://doi.org/10.3311/ppci.13201
21. Karaboga, D. ve Akay, B. (2009) A comparative study of Artificial Bee Colony algorithm. Applied Mathematics and Computation, 214(1), 108–132. https://doi.org/10.1016/j.amc.2009.03.090
22. Kaveh, A., Maniat, M. ve Arab Naeini, M. (2016) Cost optimum design of post-tensioned concrete bridges using a modified colliding bodies optimization algorithm, Advances in Engineering Software, 98, 12–22. https://doi.org/10.1016/j.advengsoft.2016.03.003
23. Martí, J. V., García-Segura, T. ve Yepes, V. (2016) Structural design of precast-prestressed concrete U-beam road bridges based on embodied energy, Journal of Cleaner Production, 120:, 231–240. https://doi.org/10.1016/j.jclepro.2016.02.024
24. Martí, J. V., Yepes, V. ve González-Vidosa, F. (2015) Memetic algorithm approach to designing precast-prestressed concrete road bridges with steel fiber reinforcement, Journal of Structural Engineering, 141(2), 1–9. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001058
25. Martins, A. M. B., Simões, L. M. C. ve Negrão, J. H. J. O. (2016a) Optimum design of concrete cable-stayed bridges. Engineering Optimization, 48(5), 772–791. https://doi.org/10.1080/0305215X.2015.1057057
26. Martins, A. M. B., Simões, L. M. C. ve Negrão, J. H. J. O. (2016b) Optimum design of concrete cable-stayed bridges with prestressed decks. International Journal of Computational Methods in Engineering Science and Mechanics, 17(5–6), 339–349. https://doi.org/10.1080/15502287.2016.1231237
27. Mergos, P. E. ve Mantoglou, F. (2019) Optimum design of reinforced concrete retaining walls with the flower pollination algorithm, Structural and Multidisciplinary Optimization. https://doi.org/10.1007/s00158-019-02380-x
28. Mukhopadhyay, T., Dey, T. K., Chowdhury, R., Chakrabarti, A. ve Adhikari, S. (2015) Optimum design of FRP bridge deck: an efficient RS-HDMR based approach. Structural and Multidisciplinary Optimization, 52(3), 459–477. https://doi.org/10.1007/s00158-015-1251-y
29. Öztürk, H.T., Türkeli, E. ve Durmuş, A. (2016) Optimum design of RC shallow tunnels in earthquake zones using artificial bee colony and genetic algorithms. Computers and Concrete, 17(4), 435–453. http://dx.doi.org/10.12989/cac.2016.17.4.435
30. Ozturk, H. T., ve Durmus, A. (2013). Optimum cost design of RC columns using artificial bee colony algorithm, Structural Engineering and Mechanics, 45(5), 643-654. : http://dx.doi.org/10.12989/sem.2013.45.5.643
31. Öztürk, H. T. ve Türkeli, E. 2019. Optimum design of rc retaining walls with key section using jaya algorithm, Journal of Polytechnic, 22(2), 283–291. https://doi.org/10.2339/politeknik.432031
32. Quaranta, G., Fiore, A. ve Marano, G. C. (2014) Optimum design of prestressed concrete beams using constrained differential evolution algorithm, Structural and Multidisciplinary Optimization, 49(3), 441–453. https://doi.org/10.1007/s00158-013-0979-5
33. Rao, R. V. ve Patel, V. (2013) An improved teaching-learning-based optimization algorithm for solving unconstrained optimization problems, Scientia Iranica, 20(3), 710–720. https://doi.org/10.1016/j.scient.2012.12.005
34. Rao, R. V., Savsani, V. J. ve Balic, J. (2012) Teaching-learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems, Engineering Optimization, 44(12), 1447–1462. https://doi.org/10.1080/0305215X.2011.652103
35. Sánchez-Olivares, G. ve Tomás, A. (2017) Improvements in meta-heuristic algorithms for minimum cost design of reinforced concrete rectangular sections under compression and biaxial bending, Engineering Structures, Elsevier Ltd: , 162–179. https://doi.org/10.1016/j.engstruct.2016.10.010
36. Shaqfa, M. ve Orbán, Z. (2019) Modified parameter-setting-free harmony search (PSFHS) algorithm for optimizing the design of reinforced concrete beams, Structural and Multidisciplinary Optimization, 60(3), 999–1019. https://doi.org/10.1007/s00158-019-02252-4
37. Uray, E., Çarbaş, S., Erkan, İ. H. ve Tan, Ö. (2019) Parametric investigation for discrete optimal design of a cantilever retaining wall, Challenge Journal of Structural Mechanics, 5(3), 108. https://doi.org/10.20528/cjsmec.2019.03.004
38. Van Loon, R. R. L., Pujadas-Gispert, E., Moonen, S. P. G. ve Blok, R. (2019) Environmental Optimization of Precast Concrete Beams Using Fibre Reinforced Polymers. Sustainability, 11(7):, 2174. https://doi.org/10.3390/su11072174
39. Yepes, V., Martí, J. V. ve García-Segura, T. (2015) Cost and CO2 emission optimization of precast-prestressed concrete U-beam road bridges by a hybrid glowworm swarm algorithm, Automation in Construction, 49, 123–134. https://doi.org/10.1016/j.autcon.2014.10.013
40. Yoon, Y. C., Kim, K. H., Lee, S. H. ve Yeo, D. (2018) Sustainable design for reinforced concrete columns through embodied energy and CO2 emission optimization, Energy and Buildings, 174:, 44–53. https://doi.org/10.1016/j.enbuild.2018.06.013

There are 40 citations in total.

Details

Primary Language	Turkish
Subjects	Civil Engineering
Journal Section	Research Articles
Authors	Hasan Tahsin Öztürk 0000-0001-8479-9451
Publication Date	April 30, 2020
Submission Date	November 9, 2019
Acceptance Date	March 14, 2020
Published in Issue	Year 2020 Volume: 25 Issue: 1

Cite

APA	Öztürk, H. T. (2020). BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, 25(1), 361-378. https://doi.org/10.17482/uumfd.644684
AMA	Öztürk HT. BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI. UUJFE. April 2020;25(1):361-378. doi:10.17482/uumfd.644684
Chicago	Öztürk, Hasan Tahsin. “BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 25, no. 1 (April 2020): 361-78. https://doi.org/10.17482/uumfd.644684.
EndNote	Öztürk HT (April 1, 2020) BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 25 1 361–378.
IEEE	H. T. Öztürk, “BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI”, UUJFE, vol. 25, no. 1, pp. 361–378, 2020, doi: 10.17482/uumfd.644684.
ISNAD	Öztürk, Hasan Tahsin. “BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi 25/1 (April 2020), 361-378. https://doi.org/10.17482/uumfd.644684.
JAMA	Öztürk HT. BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI. UUJFE. 2020;25:361–378.
MLA	Öztürk, Hasan Tahsin. “BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI”. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, vol. 25, no. 1, 2020, pp. 361-78, doi:10.17482/uumfd.644684.
Vancouver	Öztürk HT. BETONARME KISA KONSOLLARIN TS 500’E GÖRE OPTİMUM TASARIMINDA ABC, TLBO VE TLABC ALGORİTMALARININ BAŞARIMI. UUJFE. 2020;25(1):361-78.

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