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These problems are posed as initial or boundary value problems with several possible variations in structural designs. In this paper, we have derived a mathematical model that represents different structures of beam\u2010columns by varying axial load with or without internal forces including bending rigidity. We have also developed a novel solver, the LeNN\u2010NM algorithm, which consists of weighted Legendre polynomials, and a single path following optimizer, the Nelder\u2013Mead (NM) algorithm. To evaluate the performance of our solver, we have considered three design problems representing beam\u2010columns. The values of performance indicators, MAD, TIC, NSE, and ENSE, are calculated for a hundred simulations. The outcome of our statistical analysis points to the superiority of the LeNN\u2010NM algorithm. Graphical illustrations are presented to further elaborate on our claims.<\/jats:p>","DOI":"10.1155\/2021\/6639032","type":"journal-article","created":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T20:35:08Z","timestamp":1614976508000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["Analysis of Beam\u2010Column Designs by Varying Axial Load with Internal Forces and Bending Rigidity Using a New Soft Computing Technique"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8531-8047","authenticated-orcid":false,"given":"Wen","family":"Huang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tianhua","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiucheng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8680-723X","authenticated-orcid":false,"given":"Naveed Ahmad","family":"Khan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4040-6211","authenticated-orcid":false,"given":"Muhammad","family":"Sulaiman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2021,3,5]]},"reference":[{"key":"e_1_2_13_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01931218"},{"key":"e_1_2_13_2_2","doi-asserted-by":"publisher","DOI":"10.1155\/2007\/98602"},{"key":"e_1_2_13_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2007.11.026"},{"key":"e_1_2_13_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.12.002"},{"key":"e_1_2_13_5_2","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/73\/6\/023"},{"key":"e_1_2_13_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0096-3003(99)00063-6"},{"key":"e_1_2_13_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0096-3003(99)00224-6"},{"key":"e_1_2_13_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2011.01.002"},{"key":"e_1_2_13_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2012.11.009"},{"key":"e_1_2_13_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.10.030"},{"key":"e_1_2_13_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10092-015-0165-9"},{"key":"e_1_2_13_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.06.018"},{"key":"e_1_2_13_13_2","doi-asserted-by":"publisher","DOI":"10.11648\/j.acm.20190803.11"},{"key":"e_1_2_13_14_2","first-page":"211","article-title":"Spectral-Bernstein residual method for the solution of boundary value problem governing deflection of a beam via Matlab","volume":"38","author":"Nwonye M.","year":"2019","journal-title":"Journal of the Nigerian Mathematical Society"},{"key":"e_1_2_13_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.12.071"},{"key":"e_1_2_13_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.06.013"},{"key":"e_1_2_13_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-008-0090-z"},{"key":"e_1_2_13_18_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s10052-016-4209-3"},{"key":"e_1_2_13_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.110089"},{"key":"e_1_2_13_20_2","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1220"},{"key":"e_1_2_13_21_2","first-page":"4943","article-title":"Impact analysis of crossovers in a multi-objective evolutionary algorithm","volume":"27","author":"Mashwani W. 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