Naslov
Some examples of static equivalency in space using descriptive geometry and Grassmann algebra

Autori
Baniček, Maja ; Fresl, Krešimir ; Kodrnja, Iva

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

Izvornik
Proceedings of the IASS Annual Symposium 2018: Creativity in Structural Design / - Boston (MA), 2018

Skup
Annual Symposium of the IASS – International Association for Shell and Spatial Structures: Creativity in Structural Design

Mjesto i datum
Boston (MA), Sjedinjene Američke Države, 16.07.2018. - 19.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Prostorna grafostatika, statička ekvivalencija, deskriptivna geometrija, Grassmannova algebra, Plückerove koordinate, pravčasta geometrija
(3D graphic statics, static equivalency, descriptive geometry, Grassmann algebra, Plücker coordinates, line geometry)

Sažetak
This paper presents some examples of three- dimensional static equivalency using descriptive geometry and Grassmann algebra. In many static problems, it is convenient to replace existing force system with another, usually simpler, statically equivalent force system. Procedures for replacing two forces with two other forces which fulfil certain conditions (one of the forces on a given line or a force through a given point and a force in a given plane, including special cases with a point or a plane at infinity), thus providing unique replacement of a system of forces with two forces, and the procedure for replacing a single force with three components on three skew lines are described in the main part of the paper.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Građevinarstvo, Temeljne tehničke znanosti

POVEZANOST RADA