Some Applications of Cubic Equations in Engineering

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dc.authorscopusid57211346090
dc.authorscopusid24481107300
dc.authorscopusid57195982510
dc.authorscopusid57540716500
dc.authorscopusid57540087500
dc.authorscopusid57540087600
dc.authorscopusid57540087700
dc.contributor.authorZahedi
dc.contributor.authorKamil, Anton Abdulbasah
dc.contributor.authorIrvan
dc.contributor.authorJelita
dc.contributor.authorAmin, Harahap
dc.contributor.authorMarwan, Affandi
dc.contributor.authorSuparni, Sarmin
dc.date.accessioned2024-09-11T19:58:32Z
dc.date.available2024-09-11T19:58:32Z
dc.date.issued2022
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractCubic equations have many applications in engineering, three of them are discussed in this paper. There are many equations of states for real gases but the cubic equations are the simplest ones and are sufficiently accurate for a limited range of temperatures and pressures. Degree of dissociation of chemical equilibrium for carbon dioxide and water can be written as cubic equations. Slope of a simply supported beam loaded by a continuous load is also represented as a cubic equation. Cubic equations can be solved exactly using Cardano’s formula. They can also solve numerically; Newton-Raphson method is a popular choice. Although a cubic equation has three roots, only real roots are valid in real applications discussed in this paper. Even there may be only one root that can be used; two other roots will be discarded. There are many ways a cubic equation solved but the simplest one is to solve it manually using a scientific calculator. Software and programming languages are better if there are many equations to be solved repeatedly © 2022, Mathematical Modelling of Engineering Problems. All Rights Reserved.en_US
dc.identifier.doi10.18280/mmep.090116
dc.identifier.endpage135en_US
dc.identifier.issn2369-0739en_US
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85126818663en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage129en_US
dc.identifier.urihttps://doi.org/10.18280/mmep.090116
dc.identifier.urihttps://hdl.handle.net/11363/8511
dc.identifier.volume9en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInternational Information and Engineering Technology Associationen_US
dc.relation.ispartofMathematical Modelling of Engineering Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectCardano’s formula; Cubic equation; Deflection curve; Degree of dissociation; Equation of state; Real rooten_US
dc.titleSome Applications of Cubic Equations in Engineeringen_US
dc.typeArticleen_US

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