Naslov
Affine transformation of three-hinged arches: reviving an old method

Autori
Baniček, Maja ; Fresl, Krešimir ; Šamec, Elizabeta ; Werner Heinrich

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the IASS Annual Symposium 2017 Interfaces: architecture.engineering.science / - Hamburg, 2017

Skup
IASS Annual Symposium 2017

Mjesto i datum
Hamburg, Njemačka, 25.09.2017. - 28.09.2017

Vrsta sudjelovanja
Plenarno

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
three-hinged arch, superposition method, affine transformation, homology, graphic statics

Sažetak
This paper revives an almost forgotten graphical procedure for drawing bending moment diagrams for three-hinged and related systems and presents a generalization of the superposition method for general (i.e., not only vertical) loading. In the first part of the paper, the superposition method for drawing bending moments for three-hinged systems for vertical loads is described. The final bending moment diagram is obtained by a graphical subtraction of two bending moment diagrams: the first, constructed for a simply supported beam with the same span as the three-hinged system and the second, determined by an affine transformation of the three-hinged system axis. In the second part of the paper generalization of the superposition method for general loading is presented. Two interpretations of the graphical construction of the second bending moment diagram are shown: “pure” projective- geometrical interpretation and mechanical interpretation which explains the relation between the geometrical and structural notions and the procedural steps.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

POVEZANOST RADA