APPLICATIONS OF LAMI'S THEOREM TO COPLANAR CONCURRENT FORCES IN STATICS.
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| Title: | APPLICATIONS OF LAMI'S THEOREM TO COPLANAR CONCURRENT FORCES IN STATICS. |
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| Authors: | ITU, RĂZVAN BOGDAN1 razvanitu@upet.ro, ŞOICA, ALEXANDRA2 alexandrasoica@upet.ro, MARC, BOGDAN-IOAN2 bogdan-ioanmarc@upet.ro |
| Source: | Annals of the University of Petrosani Mechanical Engineering. 2025, Vol. 27, p90-100. 10p. |
| Subjects: | Statics, Applied mechanics, Classical mechanics, Equilibrium, Static equilibrium (Physics) |
| Abstract: | This paper analyses the application of Lami's theorem as an efficient analytical tool for solving statics problems involving coplanar and concurrent force systems. The classical formulation of Lami's theorem for three concurrent forces in equilibrium is presented, together with its mathematical justification and practical limitations. The study is further extended to the case of four concurrent and coplanar forces, where the theorem is applied in combination with the principle of superposition of forces. This approach allows the determination of unknown forces in systems that would otherwise require a larger set of equilibrium equations. Several representative examples from classical mechanics are discussed to illustrate the effectiveness, accuracy, and simplicity of the method, including problems involving friction, inclined planes, and combined loading conditions. The results obtained using Lami's theorem and force superposition are validated through comparison with the classical equilibrium equations of statics, confirming their equivalence. The paper highlights the pedagogical and practical value of Lami's theorem in engineering mechanics. [ABSTRACT FROM AUTHOR] |
| Copyright of Annals of the University of Petrosani Mechanical Engineering is the property of University of Petrosani and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Items | – Name: Title Label: Title Group: Ti Data: APPLICATIONS OF LAMI'S THEOREM TO COPLANAR CONCURRENT FORCES IN STATICS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22ITU%2C+RĂZVAN+BOGDAN%22">ITU, RĂZVAN BOGDAN</searchLink><relatesTo>1</relatesTo><i> razvanitu@upet.ro</i><br /><searchLink fieldCode="AR" term="%22ŞOICA%2C+ALEXANDRA%22">ŞOICA, ALEXANDRA</searchLink><relatesTo>2</relatesTo><i> alexandrasoica@upet.ro</i><br /><searchLink fieldCode="AR" term="%22MARC%2C+BOGDAN-IOAN%22">MARC, BOGDAN-IOAN</searchLink><relatesTo>2</relatesTo><i> bogdan-ioanmarc@upet.ro</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Annals+of+the+University+of+Petrosani+Mechanical+Engineering%22">Annals of the University of Petrosani Mechanical Engineering</searchLink>. 2025, Vol. 27, p90-100. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Statics%22">Statics</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+mechanics%22">Applied mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Classical+mechanics%22">Classical mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Static+equilibrium+%28Physics%29%22">Static equilibrium (Physics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper analyses the application of Lami's theorem as an efficient analytical tool for solving statics problems involving coplanar and concurrent force systems. The classical formulation of Lami's theorem for three concurrent forces in equilibrium is presented, together with its mathematical justification and practical limitations. The study is further extended to the case of four concurrent and coplanar forces, where the theorem is applied in combination with the principle of superposition of forces. This approach allows the determination of unknown forces in systems that would otherwise require a larger set of equilibrium equations. Several representative examples from classical mechanics are discussed to illustrate the effectiveness, accuracy, and simplicity of the method, including problems involving friction, inclined planes, and combined loading conditions. The results obtained using Lami's theorem and force superposition are validated through comparison with the classical equilibrium equations of statics, confirming their equivalence. The paper highlights the pedagogical and practical value of Lami's theorem in engineering mechanics. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Annals of the University of Petrosani Mechanical Engineering is the property of University of Petrosani and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 90 Subjects: – SubjectFull: Statics Type: general – SubjectFull: Applied mechanics Type: general – SubjectFull: Classical mechanics Type: general – SubjectFull: Equilibrium Type: general – SubjectFull: Static equilibrium (Physics) Type: general Titles: – TitleFull: APPLICATIONS OF LAMI'S THEOREM TO COPLANAR CONCURRENT FORCES IN STATICS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: ITU, RĂZVAN BOGDAN – PersonEntity: Name: NameFull: ŞOICA, ALEXANDRA – PersonEntity: Name: NameFull: MARC, BOGDAN-IOAN IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 14549166 Numbering: – Type: volume Value: 27 Titles: – TitleFull: Annals of the University of Petrosani Mechanical Engineering Type: main |
| ResultId | 1 |
