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NTC 08 vs EC7

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  • martinellifranco
    00 3/28/2008 7:13 PM
    Riporto una anomalia riscontrata nella progettazione geotecnica:

    Eurocodice 7

    Approccio 1

    gF
    gM
    gR

    Comb 1
    A1
    M1
    R1

    Comb 2
    A2
    M1
    R4

    Approccio 2
    Unico caso
    A1
    M1
    R2

    Approccio 3
    Unico caso
    A1 o A2
    M2
    R3




    NTC 2008

    Approccio 1

    gF
    gM
    gR

    Comb 1
    A1
    M1
    R1

    Comb 2
    A2
    M2
    R2

    Approccio 2
    Unico caso
    A1
    M1
    R3


    Considerando una verifica a breve termine della capacità portante (con formule statiche) a compressione statica di un palo trivellato (non ad elica continua) in terreni coesivi per la quale siano disponibili i risultati di n. 10 verticali di indagine



    Eurocodice 7
    ζ3 (media)
    1,2

    NTC 2008
    ζ3 (media)
    1,4


    Confrontando i risultati:


    Eurocodice 7

    Approccio 1

    gF
    gM
    gR
    ζ3
    Coeff. globale

    Comb 1
    1,35
    1,00
    1,15
    1,25
    1,940

    Comb 2
    1,00
    1,00
    1,50
    1,25
    1,875

    Approccio 2
    Unico caso
    1,35
    1,00
    1,10
    1,25
    1,856




    NTC 2008

    Approccio 1

    gF
    gM
    gR
    ζ3
    Coeff. globale

    Comb 1
    1,30
    1,00
    1,00
    1,40
    1,820

    Comb 2
    1,00
    1,40
    1,60
    1,40
    3,136

    Approccio 2
    Unico caso
    1,30
    1,00
    1,30
    1,40
    2,366




    Risulta una evidente anomalia nella stima dei coefficienti di sicurezza
  • antonio colonnello
    00 3/30/2008 6:46 PM
    Io poi non ho ben capito come eseguire le verifiche in condizioni sismiche.

    Mi limito al caso delle fondazioni superficiali.

    Al § 7.11.5.3 Verifiche allo Stato Limite Ultimo (SLU) e allo Stato Limite di Danno (SLD) (p.320) c’è scritto:

    “[...] Devono essere considerati almeno gli stessi stati limite ultimi di cui ai § 6.4.2.1 e 6.4.3.1. Le verifiche allo stato limite ultimo di fondazioni superficiali e su pali sono condotte con i due approcci indicati nel Cap. 6, con le prescrizioni di cui al § 7.11.1 [...]”

    Io ho interpretato come segue.



    Approccio 1 – Combinazione 1 in condizioni sismiche :

    Le azioni A1 (per esemplificare: A1 = 1.4 G + 1.5 Q) sono assimilabili allo SLV delle azioni sismiche ( SLV = (G + Psi2*Q) + E ), perché entrambi corrispondono ad un SLU delle strutture. Quindi mi pare si possa eseguire la verifica Approccio1-Combinazione1, con SLV al posto di A1, ed introducendo le riduzioni di resistenza di cui al § 7.11.2. Quindi, chiamate M1-E le proprietà dei materiali in presenza di azioni sismiche allo SLV, calcolate con i coefficienti g M relativi alla ipotesi M1, si può eseguire la verifica

    GEO-E-1 = ( SLV , M1-E , R1)



    Approccio 1 – Combinazione 2 in condizioni sismiche :

    Le azioni A2 (per esemplificare: A2 = G + 1.3 Q) NON sono assimilabili allo SLV delle azioni sismiche ( SLV = (G + Psi2*Q) + E ), perché le azioni A2 NON corrispondono ad un SLU delle strutture, mentre lo SLV sì.

    Le azioni A2 mi pare potrebbero essere viste come una condizione di “esercizio spinto”, quindi forse potrebbero essere assimilate allo SLD ( SLD = (G + Psi2*Q) + E-SLD ) , ma è una mia forzatura e non capisco se questa fosse l’intenzione della norma.

    Prendendo per buona questa interpretazione, si potrebbe eseguire la verifica Approccio1-Combinazione2, con SLD al posto di A2, ed introducendo le riduzioni di resistenza di cui al § 7.11.2. Quindi, chiamate M2-E le proprietà dei materiali in presenza di azioni sismiche allo SLD, calcolate con i coefficienti g M relativi alla ipotesi M2, si potrebbe eseguire la verifica

    GEO-E-2 = ( SLD , M2-E , R2) [?]



    Approccio 2 in condizioni sismiche :

    Vale quanto detto per l’ Approccio 1 – Combinazione 1, e si potrebbe eseguire la verifica

    GEO-E-3 = ( SLV , M1-E , R3 ) [?]

    Ma a questo punto non avrebbe senso fare la verifica Approccio 1 – Combinazione 1, perché quest’ultima verifica sarà sempre più cautelativa, dato che si usano i coefficienti R3.



    Quindi, per come l’ho interpretata io, sembrerebbe che le verifiche da fare siano:

    GEO-E-3 = ( SLV , M1-E , R3 ) [?]

    GEO-E-2 = ( SLD , M2-E , R2) [?]


    Mi pare però che la cosa risulti un po’ confusa, anche perché praticamente ci si trova obbligati a considerare entrambi gli approcci 1 e 2, che per definizione dovrebbero invece essere alternativi (almeno nelle condizioni “statiche”).


    Non conosco l’ultima versione dell’EC8 , ma in quella che ho usato in passato la cosa era più chiara: le verifiche geotecniche in condizioni sismiche erano riferite allo SLU (SLV), andavano fatte applicando le eventuali riduzioni delle proprietà meccaniche, ed usando coefficienti g M specifici, intermedi fra M1 e M2. Quindi la verifica era del tipo

    GEO-E = ( SLV , ME , R=1 ).

    Saluti
    Antonio Colonnello
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