Line geometry and 3D graphic statics

The mathematical basis for the line geometry, with the line as its basic element, is presented in the paper because the forces that act on a body in space - whether we are interested in conditions of movement or immobility (balance) of that body - are vectorial values related to specific lines of ac...

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Bibliographic Details
Main Authors: Iva Kodrnja, Maja Baniček, Krešimir Fresl
Format: Article
Language:English
Published: Croatian Association of Civil Engineers 2019-10-01
Series:Građevinar
Online Access:http://www.casopis-gradjevinar.hr/archive/article/2725
Description
Summary:The mathematical basis for the line geometry, with the line as its basic element, is presented in the paper because the forces that act on a body in space - whether we are interested in conditions of movement or immobility (balance) of that body - are vectorial values related to specific lines of action, so that the system of forces can be linked to the set of lines in space. The application of line geometry has proven the known claim that the system of forces in space, provided the forces are in a general position, can be reduced to two forces on reciprocal lines. The visualisation of this claim via the 3D graphic statics is also presented.
ISSN:0350-2465
1333-9095