Deflection of a beam with a transverse crack under dead load

This paper proposes an analytic relation for the deflection of a cantilever beam with a transverse crack subjected to dead load. The mathematical relation is deduced involving the decreased capacity of the beam to store energy, which is in direct relation with the crack position and depth. Eventuall...

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Main Authors: Marius-Vasile Pop, Zeno-Iosif Praisach, Gilbert-Rainer Gillich
Format: Article
Language:English
Published: Cluj University Press 2020-11-01
Series:Studia Universitatis Babeş-Bolyai. Engineering
Subjects:
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author Marius-Vasile Pop
Zeno-Iosif Praisach
Gilbert-Rainer Gillich
author_facet Marius-Vasile Pop
Zeno-Iosif Praisach
Gilbert-Rainer Gillich
author_sort Marius-Vasile Pop
collection DOAJ
description This paper proposes an analytic relation for the deflection of a cantilever beam with a transverse crack subjected to dead load. The mathematical relation is deduced involving the decreased capacity of the beam to store energy, which is in direct relation with the crack position and depth. Eventually, the validity of the relation is proved by means of the finite element method.
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spelling doaj.art-582f24b031d24b639b24eb8c259997092023-11-03T09:59:07ZengCluj University PressStudia Universitatis Babeş-Bolyai. Engineering2734-76802020-11-0165114510.24193/subbeng.2020.1.16Deflection of a beam with a transverse crack under dead loadMarius-Vasile Pop0https://orcid.org/0000-0002-8219-6099Zeno-Iosif Praisach1https://orcid.org/0000-0002-8613-8224Gilbert-Rainer Gillich2https://orcid.org/0000-0003-4962-2567Babeș-Bolyai University, Faculty of EngineeringBabeș-Bolyai University, Faculty of EngineeringBabeș-Bolyai University, Faculty of EngineeringThis paper proposes an analytic relation for the deflection of a cantilever beam with a transverse crack subjected to dead load. The mathematical relation is deduced involving the decreased capacity of the beam to store energy, which is in direct relation with the crack position and depth. Eventually, the validity of the relation is proved by means of the finite element method.cantilever beamdeflectiondead loadtransverse crack
spellingShingle Marius-Vasile Pop
Zeno-Iosif Praisach
Gilbert-Rainer Gillich
Deflection of a beam with a transverse crack under dead load
Studia Universitatis Babeş-Bolyai. Engineering
cantilever beam
deflection
dead load
transverse crack
title Deflection of a beam with a transverse crack under dead load
title_full Deflection of a beam with a transverse crack under dead load
title_fullStr Deflection of a beam with a transverse crack under dead load
title_full_unstemmed Deflection of a beam with a transverse crack under dead load
title_short Deflection of a beam with a transverse crack under dead load
title_sort deflection of a beam with a transverse crack under dead load
topic cantilever beam
deflection
dead load
transverse crack
work_keys_str_mv AT mariusvasilepop deflectionofabeamwithatransversecrackunderdeadload
AT zenoiosifpraisach deflectionofabeamwithatransversecrackunderdeadload
AT gilbertrainergillich deflectionofabeamwithatransversecrackunderdeadload