Seismic Resistance of Building

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1 Evaluation of Seismic Resistance of Builings 1 Taiki SAITO Chief Research Engineer, International Institute of Seismology an Earthquake Engineering (IISEE), Builing Research Institute (BRI) Seismic Resistance of Builing 2 Seismic Resistance = Potential Energy Energy Collapse Capacity Curve Energy Collapse

2 Seismic Inex Is 3 Is = (Φ C F ) S D T Φ S T S D :factor for number of story : factor for shape of builing : factor for age of builing Design guieline for Seismic Evaluation for RC structures (2001) Increase C? Is<0.6 Is>0.6 (Safe) Increase F? (Danger) Capacity Curve Strategy for Seismic Rehabilitation 4 (a) (b) (c) Evaluation of Is Is>06? 0.6 YES Pass NO (a) Increase C (b) Increase C & F (c) Increase F

3 5 Rehabilitation Techniques (1. Conventional metho) Increase C Increase C&F Is 0 6 Is 0.6 Is 0.6 (Safe) Increase F (D (Danger) ) Original Capacity Curve (Photo from Dr. Fukuyama, BRI) 6 Example (Increase F) Rehabilitation by Carbon Fiber Sheet no noise, no ust, no isturbance (Photo from Dr. Fukuyama, BRI)

4 Rehabilitation Techniques (2. Damper evice) 7 Oil amper Damper OILES Damper oney-comb amper (Safe) (Danger) Original Capacity Curve Energy issipation by amper evice KAJIMA Many other evices Example (Damper) 8 Damper wall Steel frame 3F-8F Dampers B2F-2F no retrofit ( 社 ) 建築 設備維持保全推進協会パンフレットより抜粋

5 Rehabilitation Techniques (3. Seismic isolation) 9 Laminate Rubber bearing (Safe) Lea amper Steel amper Original Capacity Curve Capacity curve an performance 10 Capacity Curve Damage Damage Damage grae I grae II grae III RE ESISTA ANCE Maximum Resistance Elastic Limit (Ligh ht Damag ge) (Moe erate Dam mage) Ultimate t Limit it (eavy Damage e) Collapse R e R max R u R coll DEFORMATION

6 Capacity curve of plain masonry wall 11 f t : strength of :tension brick σ : compression strength of σ 0 brick f σ 0 +1 f t max = Aw +1 b t max max cr cr = C cr max = C max s max Ke = cr k cr e = max max 0. 51Ke max = max 0.16Ke Capacity curve of confine masonry wall 12 f y : strength of rebar f c : compression strength of concrete max f t Aw 2 Nw [ 1 [1 CI 1 + n rv CIb Aw f t max = ] f c f y max cr cr = C cr max = C max s max Ke cr = k cr e max max = 0. 43Ke max = max 0.02Ke

7 Example KN 222 KN 262 MPa 247 KN 184 MPa 210 MPa R = 1/1400 R = 1/500 R = 1/200 R = 1/1300 R = 1/350 R = 1/25 STERA 3D software 14 Seismic analysis of reinforce concrete + masonry builings 3D elastic moal analysis, 3D nonlinear static push-over an cyclic analysis, 3D nonlinear earthquake response analysis. Visual interface Visual interface to create builing moels an show the results easily an rapily. Free software STERA 3D is istribute for free for the use of research an eucational purpose. Free ownloa from Web Search STERA3D

8 Element Moels Beam Column Wall External Springs Base Isolation Dampers Masonry Beam

9 Beam Nonlinear bening spring Nonlinear shear spring Moifie Takea Moel Origin Oriente Moel Column

10 Column Multi spring (MS) Moel Nonlinear Bening Springs Wall

11 Wall Multi spring (MS) Moel Nonlinear Bening Springs External Spring

12 Base Isolation Device Multi shear spring (MSS) Moel Damper Device Force Deformation relationship ysteresis amper Force Velocity relationship Oil amper Viscous amper

13 Masonry Wall Nonlinear Shear Spring Poly-linear Slip Moel html

14 Other software for seismic analysis 27 Frame analysis (STERA 3D Software) FEM (Finite Element Moel) analysis DEM (Discrete Element Moel) analysis (STERA Briq Software) FEM analysis DEM analysis Stress istribution Collapse analysis Conclusions 28 Seismic resistance = potential energy Seismic rehabilitation strategy using capacity curve Increase C, F, or C&F Using amper evices Seismic i Isolation Capacity curve for masonry Plain masonry < Confine masonry Tools for seismic analysis STERA3D DEM software (SERABriq)