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Published: Građevinar 71 (2019) 10
Paper type: Preliminary report
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Line geometry and 3D graphic statics

Iva Kodrnja, Maja Baniček, Krešimir Fresl

Abstract

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.

Keywords
extended Euclidean space, polarity, null system, line systemline, Plücker coordinates, linear complex

HOW TO CITE THIS ARTICLE:

Kodrnja, I., Baniček, M., Fresl, K.: Line geometry and 3D graphic statics, GRAĐEVINAR, 71 (2019) 10, pp. 863-875, doi: https://doi.org/10.14256/JCE.2725.2019

OR:

Kodrnja, I., Baniček, M., Fresl, K. (2019). Line geometry and 3D graphic statics, GRAĐEVINAR, 71 (10), 863-875, doi: https://doi.org/10.14256/JCE.2725.2019

LICENCE:

Creative Commons License
This paper is licensed under a Creative Commons Attribution 4.0 International License.
Authors:
Kodrnja WEB
Iva Kodrnja
University of Zagreb
Faculty of Civil Engineering
Department of Mathematics
mbanicek WEB
Maja Baniček
University of Zagreb
Faculty of Civil Engineering
Department for Engineering of Mechanics
FRESL WEB
Krešimir Fresl
University of Zagreb
Faculty of Civil Engineering
Department for Engineering of Mechanics