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Title:Analysis of cracked slender-beams on Winkler's foundation using a simplified computational model
Authors:ID Skrinar, Matjaž (Author)
ID Lutar, Boris (Author)
ID Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru (Copyright holder)
Files:.pdf Acta_geotechnica_Slovenica_2011_Skrinar,_Lutar_Analysis_of_cracked_slender-beams_on_Winkler_s_foundation_using_a_simplified_computationa.pdf (356,02 KB)
MD5: B271ED5B0D3B877697D88FF6956B0FA5
PID: 20.500.12556/dkum/0904e955-8168-4e45-b5ab-20f6b413adfe
 
URL http://fgserver3.fg.um.si/journal-ags/2011-2/article-1.asp
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Abstract:This paper discusses the coupling of Winkler's soil model with a simplified computational model that is widely used for the calculation of transverse displacements in transversely cracked slender beams. The bending problem of a cracked beam embedded in Winkler's soil is addressed by means of an analytical approach. The solving of the corresponding differential equation solutions is studied in order to obtain exact analytical expressions for the transverse displacements of the simplified computational model. After the solutions for the displacements of the beam are obtained, the inner bending moment and the shear force distributions within the beam can be calculated, either by using known, established relationships from the Euler-Bernoulli beam theory or by implementing two mechanical equilibrium conditions. Numerical examples covering several load situations are briefly presented in order to support the discussed approach. The results obtained with the presented approach are then further compared with the values from huge 2D finite-element models, where a detailed description of the crack was achieved using the discrete approach. It is evident that any drastic difference in the computational effort is not reflected in the significant differences in the results between the models.
Keywords:beams with transverse cracks, simplified computational model, elastic foundation, Winkler's soil, transverse displacements, bending moment, shear forces
Publication status:Published
Publication version:Version of Record
Year of publishing:2011
Number of pages:str. 5-17
Numbering:Letn. 8, št. 2
PID:20.500.12556/DKUM-26922-426cc261-2733-a66d-dd31-b3694de21c27 New window
ISSN:1854-0171
UDC:624.131.1
ISSN on article:1854-0171
COBISS.SI-ID:15645974 New window
NUK URN:URN:SI:UM:DK:A70EJ5RX
Copyright:Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru
Publication date in DKUM:01.06.2012
Views:2262
Downloads:58
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Categories:Misc.
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Record is a part of a journal

Title:Acta geotechnica Slovenica
Shortened title:Acta geotech. Slov.
Publisher:Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru
ISSN:1854-0171
COBISS.SI-ID:215987712 New window

Secondary language

Language:Slovenian
Title:Analiza vitkih razpokanih nosilcev na Winklerjevi zemljini z uporabo poenostavljenega računskega modela
Abstract:Članek obravnava uporabo pogosto uporabljenega poenostavljenega računskega modela za analitični izračun prečnih premikov vitkih nosilcev, vgrajenih v Winklerjevi zemljini, ki so prečno razpokani. Prikazano je reševanje pripadajočih diferencialnih enačb in pridobitev natančnih analitičnih rešitev za izračun prečnih premikov poenostavljenega modela. Rešitve za pomike omogočajo izračun porazdelitve notranjih upogibnih momentov in strižnih sil z uporabo znanih zvez iz Euler-Bernoullijeve teorije upogiba ali z uporabo dveh mehanskih ravnotežnih pogojev. Numerična primera pokrivata obtežni situaciji, na kratko predstavljata možnosti uporabe modela in potrjujeta uporabnost predstavljenega pristopa. Rezultati, ki so pridobljeni s predstavljenim pristopom, so primerjani še z vrednostmi iz obsežnih diskretnih računskih modelov po metodi končnih elementov, tvorjenimi z 2D končnimi elementi. Očitno je, da se velike razlike obsega vloženega računskega dela modelov ne odražajo v pomembnih razlikah rezultatov med računskima modeloma.
Keywords:nosilci s prečnimi razpokami, poenostavljeni računski model, elastična podlaga, Winklerjeva zemljina, prečni pomiki, upogibni momenti, prečne sile


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  1. Acta geotechnica Slovenica

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