Usporedba postupka Crossa i postupka Wernera i Csonke

undergraduate thesis

• Title (english): Comparison of methods by Cross and by Werner and Csonka
• Author: Bruna Flanak
• Mentor: Krešimir Fresl (mentor)
• Committee member: Krešimir Fresl (predsjednik povjerenstva)
• Committee member: Petra Gidak (član povjerenstva)
• Committee member: Mladen Meštrović (član povjerenstva)
• Granter: University of Zagreb; Faculty of Civil Engineering; (Engineering Mechanics); Zagreb
• Defense date and country: 2024-09-24, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering

Abstract

U radu su uspoređeni postupci Crossa i Werner-Csonke. Svaki od navedenih ima svoju
primjenu. Crossov postupak upotrebljava se kod nepomičnih, a postupak Wernera i Csonke kod
pomičnih sustava. Prvi korak isti je u oba postupka - izračunavaju se razdjelni koeficijenti,
momenti upetosti i prijenosni koeficijenti te se provodi uravnoteživanje dok neravnoteža ne
bude zadovoljavajuće malena. Nakon toga se kod Crossa dodaju pomaci kod svakog pridržanja
te se uravnotežuju momenti upetosti nastali zbog tih pomaka. U postupku Wernera i Csonke
pridržajnim se silama mijenja smisao djelovanja te se izračunava njihov utjecaj. Oba načina
rješavanja daju približno ista rješenja. Crossov je postupak dugotrajniji, dok je postupak
Wernera i Csonke složeniji.

Abstract (english)

The topic of the paper is the comparison of Cross and Werner-Csonka methods. Each
has its own field of application. We use the cross procedure for systems without sideway, and
Werner-Csonka for systems with sideway. The first step is identical in both methods — the
partition coefficients, the fixed end moments, and the carry-uver coefficients. Node balancing
is performed until they unbalanced moments are satisfactorily small. After that, with Cross, we
make shifts of each story and balance the moments caused by these shifts. With Werner-
Csonka, the reaction forces are reversed and their influence is calculated. Both methods have
approximately the same accuracy. Cross method requires more iterations, while Werner-
Csonka method is more complex.

• Keywords: Crossov postupak; postupak Werner – Csonke; iteracija; relaksacijski postupak
• Keywords (english): Cross method; Werner – Csonka method; iteration; relaxation method
• Language: croatian
• URN:NBN: urn:nbn:hr:237:430601
• Study programme: Title: Civil Engineering; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka građevinarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka građevinarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-10-01 11:08:43