APPLICATIONS OF LAMI'S THEOREM TO COPLANAR CONCURRENT FORCES IN STATICS.

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Bibliographic Details
Title:	APPLICATIONS OF LAMI'S THEOREM TO COPLANAR CONCURRENT FORCES IN STATICS.
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]
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Database:	Engineering Source

Description
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]
ISSN:	14549166