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15 th WORLD CONFERENCE ON EARTHQUAKE ENGINEERING Special Session

15 th WORLD CONFERENCE ON EARTHQUAKE ENGINEERING Special Session SEISMIC RETROFIT OF MASONRY STRUCTURES September 24, 2012 - Lisbon, Portugal. Vulnerability assessment by macroseismic and mechanical-based models Seismic analysis of masonry buildings. Sergio LAGOMARSINO

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15 th WORLD CONFERENCE ON EARTHQUAKE ENGINEERING Special Session

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  1. 15th WORLD CONFERENCE ON EARTHQUAKE ENGINEERING Special Session SEISMIC RETROFIT OF MASONRY STRUCTURES September 24, 2012 - Lisbon, Portugal Vulnerabilityassessment by macroseismic and mechanical-basedmodels Seismicanalysis of masonrybuildings Sergio LAGOMARSINO University of Genoa, Italy sergio.lagomarsino@unige.it • Evaluation methods (at National scale) • Numerical simulation methods

  2. Class A I = VII 40 V V VI VI VII VII VIII VIII IX IX X X 35 0 0 0,90 0,90 0,18 0,18 0,06 0,06 1,5E 1,5E - - 03 03 5,4E 5,4E - - 05 05 2,7E 2,7E - - 06 06 30 Probability 1 1 0,092 0,092 0,37 0,37 0,23 0,23 2,0E 2,0E - - 02 02 1,6E 1,6E - - 03 03 1,6E 1,6E - - 04 04 25 20 2 2 0,038 0,038 0,296 0,296 0,34 0,34 0,108 0,108 2,0E 2,0E - - 02 02 3,9E 3,9E - - 03 03 15 Performance Point 3 3 7,6E - - 05 0,117 0,117 0,25 0,25 0,287 0,287 0,12 0,12 4,6E 4,6E - - 02 02 10 Sa 4 4 7,8E 7,8E - - 07 07 0,023 0,023 9,2E 9,2E - - 02 02 0,38 0,38 0,38 0,38 0,28 0,28 LS4 LS1 LS2 LS3 5 Au 5 5 3,2E 3,2E - - 09 09 0,0018 0,0018 1,3E 1,3E - - 02 02 0,20 0,20 0,47 0,47 0,67 0,67 0 0 1 2 3 4 5 Damage Grade Ay Non-linear equivalent s.d.o.f. structure Capacity Curve Acceleration-Displacement Response Spectrum Dy Du Sd Risk assessment of strategic masonry buildings at National scale Observational methods: DPM (Damage Probability Matrix), based on observed vulnerability. Implicitly contained in the macroseismic scale Seismic input: Intensity Damage representation: 5 observed damage grades: D1 - D5 Mechanical methods: Capacity Spectrum Method: vulnerability represented by a capacity curve; demand-capacity -performance evaluation Seismic input: Acceleration Displacement Response Spectra Damage representation: 4 Damage Limit States (performance levels)

  3. Macroseismic Method – vulnerability curves from EMS-98 (Giovinazzi and Lagomarsino, 2006) mean damage grade Vulnerability index Performance modifiers μDmax=2.88 μDmin= 1.72 PRIORITY LIST

  4. DBV-masonry (Displacement Based Vulnerability model) (Cattari and Lagomarsino, 2008) Bilinear capacity curvedefined by: T fundamental period Ayacceleration capacity Du = DDS4ultimate displacement capacity uniform soft - storey

  5. SEISMIC ANALYSIS OF MASONRY BUILDINGS OUT-OF-PLANE MECHANISMS (1stfailure mode) IN-PLANE MECHANISMS (2nd failure mode) They can be prevented by properinterventions (tie-rods, connections)

  6. MODELLING STRATEGIES H interstory,i DISCRETIZION OF THE WALL BY FINITE ELEMENTS Lofti and Shing 1991, Gambarotta and Lagomarsino 1997, Lourenço et al. 1997, Lourenço and Rots 1997, Luciano and Sacco 1997, Zhuge et al. 1998, Pietruszczak and Ushaksaraei 2003, Massart 2003, Schlegel 2004, Calderini and Lagomarsino 2008 EQUIVALENT FRAME MODEL SIMPLIFIED MODELS (Tomaževič and Weiss 1990, D’Asdia and Viskovic 1995, Brencich and Lagomarsino 1998, Magenes and Della Fontana 1998, Galasco et al. 2004) (as proposed in FEMA 356 – FEMA 306 – POR Method) WEAK SPANDREL –STRONG PIER STRONG SPANDREL –WEAK PIER

  7. MODELLING STRATEGIES H interstory,i Assumed as rigid or linear elastic Node Base shear Pier Spandrel Drift ratio EQUIVALENT FRAME MODEL SIMPLIFIED MODELS (Tomaževič and Weiss 1990, D’Asdia and Viskovic 1995, Brencich and Lagomarsino 1998, Magenes and Della Fontana 1998, Galasco et al. 2004) (as proposed in FEMA 356 – FEMA 306 – POR Method) WEAK SPANDREL –STRONG PIER STRONG SPANDREL –WEAK PIER

  8. TREMURI: 3D EQUIVALENT FRAME MODELLING • 3-D equivalent frame is made of masonry walls, elastic floors, r.c. elements • out-of-plane stiffness and strength of masonry walls are neglected • floors are plane elements with only in-plane stiffness TREMURI PROGRAM A.Galasco, S.Lagomarsino, A.Penna, S.Cattari for research: ask to tremuri@gmail.comCommercial version: www.stadata.com • Mixed masonry-r.c. buildings

  9. CYCLIC PUSHOVER and NONLINEAR DYNAMIC ANALISYS • with r.c. ring beams • withoutr.c. ring beams

  10. PERFORMANCE-BASED APPROACH TO EARTHQUAKE PROTECTION OF CULTURAL HERITAGE IN EUROPEAN AND MEDITERRANEAN COUNTRIES EuropeanResearch Project funded by FP7 15thWORLD CONFERENCE ON EARTHQUAKE ENGINEERING Special Session SS25.4 Earthquake Protection of Cultural Heritage Results from NIKER and PERPETUATE European FP7 Projects Tuesday 25, 17:15-19:15 - Room P3a Conveners: Claudio Modena and Sergio Lagomarsino www.perpetuate.eu

  11. www.perpetuate.eu

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