Measurement and Analyze of Verticality and Flatness for Building Facades and Floors/Slabs of Builds

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Catarina Maria Ribeiro dos dos Santos
Andréa de Seixas
Silvio Jacks dos Anjos Garnés
Yêda Vieira Póvoas

Abstract

This work analyzes the performance of geodetic/topographic methods to control flatness of horizontal surfaces, such as floors and slabs, and vertical surfaces, as well as the control of verticality on facades. Thus, guidelines are proposed for the implementation of a methodology to achieve higher positional quality and moderation of expenses, improving the constructive process of these elements. The periodic geometric control of verticality and flatness in a building is important for the quality control of the execution of works. Through the discretization of surfaces, from a regular series of object points, a multiple linear regression allows an evaluation of planes, reconstituting surfaces. This work contemplates the implementation of a planialtimetric geodetic reference system, adjustment by the Least Squares Method, analysis of variances to compare results obtained by geodetic/topographic methods and respective uncertainties, in addition to the application of linear regression for study of flatness and plumb. Investigated surfaces had their three-dimensional coordinates applied, for the purpose of comparing the results. All statistical analysis was performed with a 95% confidence level, proving that the 3D irradiation method shows results without significant difference when compared with the other methods used. After the statistical analysis and proof of the measurement method, multiple linear regression allowed the reconstitution of horizontal and vertical planes and evaluation of the facade's verticality, that is, how much it is slanted, thus becoming another investigative method, in addition to the classic mapping of the facade adopted in civil construction, based on vertical plumbs.

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DOS SANTOS, Catarina Maria Ribeiro dos; SEIXAS , Andréa de; GARNÉS , Silvio Jacks dos Anjos; PÓVOAS , Yêda Vieira. Measurement and Analyze of Verticality and Flatness for Building Facades and Floors/Slabs of Builds. Brazilian Journal of Cartography, [S. l.], v. 73, n. 2, p. 340–358, 2021. DOI: 10.14393/rbcv73n2-55099. Disponível em: https://seer.ufu.br/index.php/revistabrasileiracartografia/article/view/55099. Acesso em: 14 mar. 2026.

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