Chapter 7 The Design of Trapezoidal Corrugated Web Beams Using Firefly Method Ferhat Erdal, Osman Tunca, Erkan Dogan, and Ramazan Ozcelik 7.1 Introduction In steel I-section profile beams, the web element carries the compressive stress caused by the loads and transmits the shear forces within the I-section, while the upper part of flanges responds to the applied loads. Considering material saving and load- bearing capacities together, the principle of the delicate web against thick flanges is adopted for these beams. In this case, compressive stress on thin and flat bodies due to overloads causes loss of beam stability and large deformations. The corrugated beams with trapezoidal and sinusoidal web forms can be designed to be joined with the upper and lower flanges which are made of the corrugated sheet with a thin cross section and which are steel plate with the same material properties as the web. The fabrication process has been started with rolling of thin web plates and then making corrugated steel webs ready for welding as shown in Fig. 7.1. In the second process, welding of corrugated thin webs and upper and lower parts of plane flanges have been done (Fig. 7.2). Finally, corrugated steel web beams have been subjected to sandblasting and antirust painting before using as displayed in Fig. 7.3. F. Erdal (B ) · R. Ozcelik Department of Civil Engineering, Akdeniz University, Antalya, Turkey e-mail: eferhat@akdeniz.edu.tr R. Ozcelik e-mail: rozcelik@hotmail.com O. Tunca Department of Civil Engineering, Karamanoglu Mehmetbey University, Karaman, Turkey e-mail: osmantunca@kmu.edu.tr E. Dogan Department of Civil Engineering, Celal Bayar University, Manisa, Turkey e-mail: erkan.dogan@cbu.edu.tr © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021 S. Carbas et al. (eds.), Nature-Inspired Metaheuristic Algorithms for Engineering Optimization Applications, Springer Tracts in Nature-Inspired Computing, https://doi.org/10.1007/978-981-33-6773-9_7 137