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MATERIALI PER IL CONSOLIDAMENTO
Insegnamento:
STRUTTURALE
INGEGNERIA CIVILE
Cds: Debiasi Stefano
Docente:
Studente: Matricola:
Sede: Data:
C.F.U.: Cultore/Segretario:
8QDWUDYHGLOHJQRGLVRODLRLQVHPSOLFHDSSRJJLRDOOHHVWUHPLW¢ªDPPDORUDWDLQFRUULVSRQGHQ]DGLXQDSSRJJLRTXDOªLO
SDUDPHWURGLVROOHFLWD]LRQHSUHGRPLQDQWHFKHGHYRYHULILFDUHDLILQLGLXQFRQVROLGDPHQWRVWUXWWXUDOH"
MPQSQIRXSXSVGIRXI
PSWJSV^SRSVQEPI
PSWJSV^SHMXEKPMS
MPQSQIRXSJPIXXIRXI
6LGHYHXWLOL]]DUHWHVVXWRGLFDUERQLRSHUULQIRU]DUHXQDWUDYHGLFDDPPDORUDWDFRQTXDOHPDWHULDOHUHDOL]]RO୩XQLRQHWUDLO
ULQIRU]RHGLOFDOFHVWUX]]R"
QEPXIGIQIRXM^MI
EHIWMZMTSPMYVIXERMGM
GSPPIZMRMPMGLI
VIWMRIITSWWMHMGLI
8QDWUDYHGLOHJQRVLQJRODURPSLWUDWWDGLXQVRODLRVRYUDVWDQWHULVXOWDVWDWLFDPHQWHLQVXIILFLHQWHTXDOªLOPRGRSL»HIILFDFHSHU
RWWHQHUHXQULQIRU]RVWUXWWXUDOHGHOODPHGHVLPD"
TSVVIMRSTIVEYREXVEZIHMWI^MSRIWMQMPIEPHMWSXXSHIPPEXVEZIMRWMXS
YXMPM^^EVIHIPXIWWYXSHMGEVFSRMSEHIKYEXEQIRXIWSPMHEVM^^EXSPYRKSP MRXIVEXVEZIQIHMERXIVIWMRIITSWWMHMGLIIGSRRIXXSVMXMTSEVHJM\EKPM
ETTSKKM
TSVVIMRSTIVEYREXVEZIHMWI^MSRIWMQMPIEPHMWSXXSHIPPEXVEZIWMRKSPEIGSPPIKEVPEEHIWWEQIHMERXIGSRRIWWMSRMZIVXMGEPMEHIKYEXEQIRXI
HMWXVMFYMXIPYRKSP MRXIVSWZMPYTTS
EJJMERGEVRI GMS«HMPEXS YR EPXVE
'HYRYHULILFDUHVHXQDWUDYHGLDFFLDLRLQVHPSOLFHDSSRJJLRDOOHHVWUHPLW¢VROOHFLWDWDGDFDULFRXQLIRUPHPHQWHULSDUWLWRULVXOWL
VWDWLFDPHQWHVXIILFLHQWHLQPH]]HULDTXDOªLOSDUDPHWURGLVROOHFLWD]LRQHSUHGRPLQDQWHFKHGHYRYHULILFDUHDLILQLGLXQHYHQWXDOH
FRQVROLGDPHQWRVWUXWWXUDOH"
PSWJSV^SEWWMEPI
PSWJSV^SHMXEKPMS
MPQSQIRXSXSVGIRXI
MPQSQIRXSJPIXXIRXI
6LGHYHULGXUUHODGHIRUPDELOLW¢GLXQVRODLRGLOHJQRFRVWLWXLWRGDWUDYLLQVHPSOLFHDSSRJJLRDOOHHVWUHPLW¢HVRYUDVWDQWHWDYRODWR
TXDOªLOVLVWHPDSL»HIILFDFH"
WXIRHIVIEPHMWSTVEHIPXEZSPEXSYRQEWWIXXSGIQIRXM^MSWXVYXXYVEPIHMGQHMWTIWWSVI
ETTPMGEVIYRWIGSRHSXEZSPEXSHIPPSWTIWWSVIHMQQEZZMXEXSIHMRGSPPEXSGSRGSPPIZMRMPMGLIEPTVMQS
ETTPMGEVIYRWIGSRHSXEZSPEXSHIPPSWTIWWSVIHMQQEZZMXEXSEPTVMQS
KIXXEVIYREWSPIXXEMRGEHMGQHMWTIWWSVI
3HULOULQIRU]RGLXQVRODLRDVWUXWWXUDOLJQHDVLXWLOL]]DQRGHLFRQQHWWRULLQDFFLDLRDGDGHUHQ]DPLJOLRUDWDLQVHULWLLQXQDWUDYHGL
OHJQR DQFRUDWLFRQUHVLQHHSRVVLGLFKH DGHJXDWDPHQWHGLVWULEXLWLOXQJRORVYLOXSSRGHOODWUDYHPHGHVLPDSHULOFROOHJDPHQWRFRQXQD
QXRYDFDSSDGLFDJHWWDWDDOGLVRSUDGHOWDYRODWRHVLVWHQWHDTXDOHVFRSRSULQFLDSOHVLXWLOL]]DQRLFRQQHWWRUL"
TIVEYQIRXEVIPITVIWXE^MSRMEJPIWWMSRIHIPXEZSPEXSHMPIKRS
TIVVMHYVVIPSWJSV^SRSVQEPI
TIVEYQIRXEVIPEVIWMWXIR^EEXSVWMSRIHIPPIXVEZMHMPIKRS
TIVEWWSVFMVIKPMWJSV^MHMWGSVVMQIRXSXVEPIKRSIGEPGIWXVY^^S
3HUULQIRU]DUHXQDWUDYHGLOHJQRLQVHPSOLFHDSSRJJLRDOOHHVWUHPLW¢VWDWLFDPHQWHLQVXIILFLHQWHDIOHVVRQHLQPH]]HULDVHQ]D
PRGLILFDUQHODVDJRPDTXDOªLOVLVWHPDSL»HIILFDFH"
MRJMWWMSRIZIVXMGEPIHMZMXMHEPIKRSPYRKSXYXXSPSWZMPYTTSHIPPEXVEZI
MRWIVMQIRXSHMFEVVIPSRKMXYHMREPMMREGGMEMSMRS\EHEHIVIR^EQMKPMSVEXEPYRKSP MRXVEHSWWSHIPPEXVEZITVIZMEPEJSVQE^MSRIHMETTSWMXI
WGEREPEXYVIRIPPIKRSIWYGGIWWMZEWSPMHEVM^^E^MSRIGSRVIWMRIITSWWMHMGLI
MRGSPPEKKMSHMXIWWYXSHMGEVFSRMSGSREHIWMZMZMRMPMGM
ETTPMGE^MSRIHMVEWEXYVEHMMRXSREGSHMGEPGIREXYVEPIGSRQMGVSEVQEXYVE
,QXQDFODVVLFDFDSULDWDGLOHJQRFRVWLWXLWDGDSXQWRQLFDWHQDHPRQDFRFHQWUDOHGHYRFRQVROLGDUHXQDGHOOHWHVWHGLDSSRJJLRGHOOD
FDWHQDTXDOHWUDOHVHJXHQWLD]LRQLGHYRYHULILFDUHSULPDGLWXWWR"
PSWJSV^SEWWMEPIHIPQSREGS
PSWJSV^SHMXEKPMSHIMTYRXSRM
PSWJSV^SHMGSQTVIWWMSRISVXSKSREPIEPJMFVIHIPPEGEXIRE
PSWJSV^SHMXVE^MSRIHIPPEGEXIRE MATERIALI PER IL CONSOLIDAMENTO
Insegnamento:
STRUTTURALE
INGEGNERIA CIVILE
Cds: Debiasi Stefano
Docente:
Studente: Matricola:
Sede: Data:
C.F.U.: Cultore/Segretario:
,OWHVVXWRGLFDUERQLRXWLOL]]DWRSHUULQIRU]DUHXQDWUDYHLQFDFRPHGHYHYHQLUHDSSOLFDWR"
GSRETTSWMXMMRXSREGMEVQEXMEFEWIGIQIRXM^ME
GSRETTSWMXMTVMQIVVIWMRIITSWWMHMGLIIGSRRIXXSVMHMGEVFSRMSTVIZMEVIKSPEVM^^E^MSRIHIPWYTTSVXS
GSRETTSWMXMTVSHSXXMTSPMYVIXERMGM
GSRETTSWMXMMRXSREGMWXVYXXYVEPMEVQEXMEFEWIHMGEPGIREXYVEPI
'REELDPRULQIRU]DUHGHOOHWUDYLGLOHJQRYHFFKLRDQWLFRIHVVXUDWHVLDYHUWLFDOPHQWHFKHRUL]]RQWDOPHQWHSHUFK«ODIHVVXUD
RUL]]RQWDOHªVWUXWWXUDOPHQWHSL»SHQDOL]]DQWH"
TIVGL¬ZMIRIVMHSXXEPEVIWMWXIR^EQIGGERMGEHIPQEXIVMEPI
TIVGL¬ZMIRIEYQIRXEXEPETSWWMFMPMX£HIPHIKVEHSHIPPIKRS
TIVGL¬ZMIRIVMHSXXSMPQSHYPSIPEWXMGS
TIVGL¬ZMIRIVMHSXXSMPQSQIRXSH MRIV^MEHIPPEWI^MSRI
3HUFK«LQXQHGLILFLRLQPXUDWXUDªQHFHVVDULRFROOHJDUHVWUXWWXUDOPHQWHPXUDWXUHFRQLPSDOFDWL"
4IVEYQIRXEVIPEVIWMWXIR^EEGSQTVIWWMSRIHIPPEQYVEXYVE
4IVMVVMKMHMVIMPGSQTSVXEQIRXSWXVYXXYVEPIHIKPMMQTEPGEXM
4IVMQTPIQIRXEVIMPGSQTSVXEQIRXSWGEXSPEVIHIPP IHMJMGMS
4IVMVVMKMHMVIMPGSQTSVXEQIRXSWXVYXXYVEPIHIPPEQYVEXYVE
1HOFROOHJDUHXQVHWWRPXUDULRDOODEDVHHGLQVRPPLW¢DLVRODLHVLVWHQWLFRVDVLRWWLHQHSULQFLSDOPHQWH"
9REVMHY^MSRIHIPPEGETEGMX£TSVXERXI
9REYQIRXSHIPPEHYXXMPMX£PSGEPI
9REYQIRXSHIPGSQTSVXEQIRXSIPEWXMGS
9REVMHY^MSRIHIPPEHIJSVQEFMPMX£RIPTMERSHIPQYVS
&RPHVLSX´HYLWDUHLOULEDOWDPHQWRGLXQRVSHFFKLRPXUDULRSHULPHWUDOHGLXQHGLILFLR"
%TTPMGERHSHIPPIJEWGIHMGEVFSRMSHMWTSWXIZIVXMGEPQIRXIPYRKSPITEVIXM
6MRJSV^ERHSPSGSRYRFIXSRGMRSEVQEXSPYRKSPEWYTIVJMGMIIWXIVREHIPPEQYVEXYVE
'SPPIKERHSPSQIGGERMGEQIRXIEPTMIHIIHMRWSQQMX£MRGSVVMWTSRHIR^EHIKPMMQTEPGEXM
6MIQTMIRHSMZYSXMGSRMRMI^MSRMHMGEPGIJPYMHE MATERIALI PER IL CONSOLIDAMENTO
Insegnamento:
STRUTTURALE
INGEGNERIA CIVILE
Cds: Debiasi Stefano
Docente:
Studente: Matricola:
Sede: Data:
C.F.U.: Cultore/Segretario:
3HUFK«QHOFRQVROLGDPHQWRVWUXWWXUDOHGLXQVRODLRGLOHJQRHVLVWHQWHPHGLDQWHDFFRSSLDPHQWRGLWDYRODWRGLOHJQRRGLFDSSDLQ
FDELVRJQDFROOHJDUHPXWXDPHQWHSHUPH]]RGLDSSRVLWLFRQQHWWRULWXWWLJOLHOHPHQWLFKHFRPSRQJRQRODVH]LRQHULVXOWDQWH"
MATERIALI PER IL CONSOLIDAMENTO
Insegnamento:
STRUTTURALE
INGEGNERIA CIVILE
Cds: Debiasi Stefano
Docente:
Studente: Matricola:
Sede: Data:
C.F.U.: Cultore/Segretario:
3HUFK«QHOULQIRU]RVWUXWWXUDOHGLXQVRODLRGLOHJQRFRVWLWXLWRGDWUDYLHWDYRODWRVRYUDVWDQWHLOQXRYRWDYRODWRROWUHFKHDGHVVHUH
DYYLWDWRDOOHWUDYLPHGHVLPHYLHQHDQFKHLQFROODWRDOOHWDYROHHVLVWHQWLVRWWRVWDQWL"
4IVEYQIRXEVIPEJSRSEWWSVFIR^E
4IVEYQIRXEVIMPQSQIRXSHMMRIV^MEHIPPEWI^MSRIVMWYPXERXI
4IVWMKMPPEVIPIJIWWYVIXVEPIXEZSPI
4IVVIRHIVIP MQTEPGEXSMQTIVQIEFMPI
1HOGLPHQVLRQDPHQWRGHLFRQQHWWRULGLFROOHJDPHQWRWUDWUDYLGLOHJQRHWDYRODWRLVRYUDVWDQWHLTXDOªODYHULILFDSL»
SHQDOL]]DQWHGDHIIHWWXDUH"
PEVIWMWXIR^EEXEKPMSHIPGSRRIXXSVI
MPVMJSPPEQIRXSHIPPIKRS
PEVIWMWXIR^EEXVE^MSRIHIPGSRRIXXSVI
PEVIWMWXIR^EEGSQTVIWWMSRIHIPPIKRS
8QDWUDYHGLDFFLDLRDSL»FDPSDWHGLXQVRODLRHVLVWHQWHFDULFDWDLQPRGRXQLIRUPHULVXOWDWDOPHQWHDUUXJJLQLWDLQ
FRUULVSRQGHQ]DGLXQDSSRJJLRLQWHUQRDWDOSXQWRGDGRYHUODULQIRU]DUHTXDOHLSDUDPHWURLGLVROOHFLWD]LRQHGHYRFRQVLGHUDUHSHU
YHULILFDUHVWUXWWXUDOPHQWHODWUDYHPHGHVLPD""
8EKPMSIQSQIRXSJPIXXIRXI
1SQIRXSJPIXXIRXI
8EKPMS
7JSV^SRSVQEPII1SQIRXSXSVGIRXI
/DUHDOL]]D]LRQHGLXQFRUGRORGHOWHWWR DVWUXWWXUDOLJQHD UHDOL]]DWRDOLYHOORFRUQLFHVRPPLWDOHTXDOHVFRSRRWWLHQH
SULQFLSDOPHQWH"
0 EYQIRXSHMVIWMWXIR^EHIKPMEVGEVIGGM WXVYXXYVEWIGSRHEVMEHIPXIXXS
0EGIVGLMEXYVEEPMZIPPSWSQQMXEPIHIPP IHMJMGMSEMJMRMHIPGSQTSVXEQIRXSWGEXSPEVI
0 EYQIRXSHIPPEVIWMWXIR^EQIGGERMGEHIPPEQYVEXYVEWSXXSWXERXI
9REVMHY^MSRIHIPPEHIJSVQEFMPMX£HIPXIXXS
3HUFK«QHOOHFXFLWXUHGLFRQQHVVLRQHQHOOHRWUDOHPXUDWXUHFRQLQLH]LRQLLQPDOWDGLFDOFHIOXLGDVLXWLOL]]DQREDUUHLQDFFLDLRLQR[
HQRQLQDFFLDLRQRUPDOH"
4IVGL¬LERRSYRQEKKMSVQSHYPSIPEWXMGSHIPP EGGMEMSRSVQEPI
4IVGL¬PEGEPGIRSREKKVIHMWGIGLMQMGEQIRXIP EGGMEMSMRS\HIKVEHERHSPSRIPXIQTS
4IVGL¬GSWXERSQIRSHIPP EGGMEMSRSVQEPI
4IVGL¬WSRSTM¼PIKKIVIHIPP EGGMEMSRSVQEPI
/DFRQQHVVLRQHPHFFDQLFDWUDVRODLHPXUDWXUHOXQJROHOLQHHGLFRQWDWWRFRPHGHYHHVVHUHUHDOL]]DWD"
WSPEQIRXIMRQI^^IVMEHIPPIPMRIIHMGSRXEXXS
MRQSPXITPMGMTYRXMEVIWMWXIR^EQIHMEPYRKSPIPMRIIHMGSRXEXS
WSPEQIRXIMRGSVVMWTSRHIR^EHIMZIVXMGMHIPPETMERXEHIMWSPEM
-RTSGLMTYRXMEHEPXEVIWMWXIR^EPYRKSPIPMRIIHMGSRXEXXS
1HOFRQVROLGDPHQWRVWUXWWXUDOHGLXQDPXUDWXUDGLJURVVRVSHVVRUHLQSLHWUDQDWXUDOHODYRUDWDDSL»WHVWHFRVDGHYRFRQWUROODUH
SULPDGLWXWWR"
0 SQSKIRIMX£HIPPITMIXVI
-ZYSXMTVIWIRXMEPP MRXIVRSHIPPEQYVEXYVE
P EPXI^^EHIPPEQYVEXYVE
-PXMTSHMQEXIVMEPIPETMHIS
6LGHYHLQWHJUDUHO DUPDWXUDLQIHULRUHGLXQDWUDYHLQFDSRLFK«GDOOHYHULILFKHHIIHWWXDWHULVXOWDLQVXIILFLHQWHTXDOªLOVLVWHPD
SL»HIILFDFHHVHPSOLFHGDSRUUHLQRSHUD"
4PEGGEKKMSPEXIVEPIGSRTMEXXMHMEGGMEMSMRGSPPEXMEPGPWGSRETTSWMXIVIWMRIITSWWMHMGLIIJMWWEXMGSRFEVVIJMPIXXEXIRIPGEPGIWXVY^^S
4SWEMRSTIVEEPHMWSXXSHIPPXVEZIMRGEHMRYSZEXVEZIMREGGMEMSHIPPEWI^MSRIRIGIWWEVMEWSPMHEVM^^EXEGSRGSRRIXXSVMMREGGMEMSVIWMREXMRIP
GEPGIWXVY^^SIFYPPSREXMEPPETYXVIPPE
%TTPMGE^MSRIHMXIWWYXSHMGEVFSRMSPYRKSXYXXSP MRXVEHSWWSHIPPEXVEZIEHMRXIKVE^MSRIHIPP EVQEXYVETVIWIRXIEHIKYEXEQIRXIMRGSPPEXSGSR
TVMQIVIVIWMRIITSWWMHMGLIGIVXMJMGEXIIFPSGGEXSGSRGSRRRIXXSVM%VHJM\EPPIIWXVIQMX£
%YQIRXSHIPPEWI^MSRIMRGPWQIHMERXIMRXIKVE^MSRIHIPP EVQEXYVERIGIWWEVMEIKIXXSGSRFIXSRGMRSEHEPXEVIWMWXIR^EEHIKYEXEQIRXI
WSPMHEVM^^EXSEPGEPGIWXVY^^SIWMWXIRXI MATERIALI PER IL CONSOLIDAMENTO
Insegnamento:
STRUTTURALE
INGEGNERIA CIVILE
Cds: Debiasi Stefano
Docente:
Studente: Matricola:
Sede: Data:
C.F.U.: Cultore/Segretario:
3HUVDWXUDUHFRQFDOFHIOXLGDLYXRWLSUHVHQWLDOO LQWHUQRGLXQDPXUDWXUDGLSLHWUDQDWXUDOHFRPHGHYRSURFHGHUH"
MRSVM^^SRXEPIHEHIWXVEZIVWSWMRMWXVE
HEPP EPXSZIVWSMPFEWWS
HEPFEWWSZIVWSP EPXS
MRHMEKSREPIHEPFEWWSZIVWSP EPXS
'HYRULFXFLUHXQDIHVVXUDLQXQDPXUDWXUDLQPDWWRQLSLHQLDGXHWHVWHWUDLVLVWHPLGHVFULWWLTXDOHULVXOWDLOSL»FRUUHWWR"
ETTPMGE^MSRIHMVIXIMRJMFVEHMGEVFSRMSWSPMHEVM^^EXEEPQYVSGSRGEPGIREXYVEPIWXVYXXYVEPI
GPEWWMGSMRXIVZIRXSHMWGYGMIGYGMGSRQEXXSRMHMEREPSKEJEXXYVE
ETTPMGE^MSRIHMTMEXXMHMEGGMEMSJMWWEXMEPQYVSGSRGSRRIXXSVMWMKMPPEXMGSRVIWMRI
ETTPMGE^MSRIHMVIXIHMFEWEPXSWSPMHEVM^^EXEEPQYVSGSRVIWMRIITSWWMHGMLI
$LILQLGHOGLPHQVLRQDPHQWRGHLFRQQHWWRULWUDWUDYLGLOHJQR FRQWDYRODWR HJHWWRGLFDVRYUDVWDQWHTXDOªORVIRU]RFKHGHYR
FRQVLGHUDUH"
1SQIRXSJPIXXIRXI
7JSV^SRSVQEPI
1SQIRXSXSVGIRXI
7JSV^SHMWGSVVMQIRXS
1HOOHYHULILFKHGLVWDELOLW¢GLXQDPXUDWXUDTXDOLSDUDPHWULJHRPHWULFLGHYRFRQVLGHUDUH"
:SPYQIHIPPEQYVEXYVEGSRWMHIVEXE
4IVMQIXVSHIPPETMERXEHMFEWIHIPPEQYVEXYVEGSRWMHIVEXE
%PXI^^EIWTIWWSVIHIPPEQYVEXYVEGSRWMHIVEXE
7YTIVJMGMIMRTMERXEHIPPEQYVEXYVEGSRWMHIVEXE
1HOPLJOLRUDUHODFRQQHVVLRQHG DQJRORWUDGXHPXUDWXUHTXDOHDVSHWWRGHYRYHULILFDUHSULPDGLWXWWR"
PIPYRKLI^^IHIPPIQYVEXYVI
PIEPXI^^IHIPPIQYVEXYVI
0SWTIWWSVIHIPPIQYVEXYVI
+PMEQQSVWEQIRXMTVIWIRXMXVEPIQYVEXYVI
1HOOHFDSULDWHGLOHJQRSRVWHLQFRSHUWXUDGLXQHGLILFLRHVLVWHQWHGDTXDOHVIRU]RªVROOHFLWDWDODFDWHQD"
7JSV^SHMXEKPMS
1SQIRXSJPIXXIRXI
7JSVSEWWMEPIHMXVE^MSRI
7JSV^SEWWMEPIHMGSQTVIWWMSRI
8QDVWUXWWXUDLQP