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FEMA 307 98 1998

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FEMA 307 – Evaluation of Earthquake Damaged Concrete and Masonry Wall Buildings: Technical Resources

Published By Publication Date Number of Pages
FEMA 1998 272
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PDF Catalog

PDF Pages PDF Title
3 Preface
5 Table of Contents
9 List of Figures
13 List of Tables
15 Prologue
What have we learned?
16 What does it mean?
19 1. Introduction
1.1 Purpose And Scope
1.2 Materials Working Group
1.2.1 Tests and Investigations
1.2.2 Component Behavior and Modeling
20 Figure 1 1 Component Force-Deformation Relationships
1.2.3 Repair Techniques
21 Figure 1 2 Generalized Undamaged and Damaged Component Curves
1.3 Analysis Working Group
22 Figure 1 3 Effect of Damage on Building Response
1.4 References
23 Figure 1 4 Global Load-Displacement Relationships
25 2. Reinforced Concrete Components
2.1 Commentary and Discussion
2.1.1 Development of Component Guides and l Factors
26 Figure 2 1 Diagram of process used to develop component guides and component modification factors.
27 Table 2 1 Ranges of reinforced concrete component displacement ductility, mD, associated with dam…
28 2.2 Typical Force-Displacement Hysteretic Behavior
46 2.3 Tabular Bibliography
47 Table 2 2 Key References on Reinforced Concrete Wall Behavior.
51 2.4 Symbols for Reinforced Concrete
53 2.5 References for Reinforced Concrete
57 3. Reinforced Masonry
3.1 Commentary and Discussion
3.1.1 Typical Hysteretic Behavior
3.1.2 Cracking and Damage Severity
58 Table 3 1 Damage Patterns and Hysteretic Response for Reinforced Masonry Components
64 3.1.3 Interpretation of Tests
3.2 Tabular Bibliography for Reinforced Masonry
65 Table 3 2 Ranges of reinforced masonry component displacement ductility, mD, associated with dama…
66 Table 3 3 Annotated Bibliography for Reinforced Masonry
71 3.3 Symbols for Reinforced Masonry
72 3.4 References for Reinforced Masonry
77 4. Unreinforced Masonry
4.1 Commentary and Discussion
4.1.1 Hysteretic Behavior of URM Walls Subjected to In-Plane Demands
90 4.1.2 Comments on FEMA 273 Component Force/Displacement Relationships
91 Figure 4 1 Bed-joint sliding force/displacement relationship
92 Figure 4 2 Relationship Between Toe Crushing and Bed-Joint Sliding
93 4.1.3 Development of l-factors
94 Figure 4 3 Developing the initial portion of the damaged force/displacement relationship
95 4.2 Tabular Bibliography for Unreinforced Masonry
98 4.3 Symbols for Unreinforced Masonry
99 4.4 References for Unreinforced Masonry
103 5. Infilled Frames
5.1 Commentary And Discussion
5.1.1 Development of l-Factors for Component Guides
5.1.2 Development of Stiffness Deterioration—lK
104 5.1.3 The Determination of lQ for Strength Deterioration
105 5.1.4 Development of lD—Reduction in Displacement Capability
106 Figure 5 1 Energy-based damage analysis of strength reduction to define lQ
107 5.2 Tabular Bibliography for Infilled Frames
Table 5 1 Tabular Bibliography for Infilled Frames
109 5.3 References for Infilled Frames
113 6. Analytical Studies
6.1 Overview
6.2 Summary of Previous Findings
6.2.1 Hysteresis Models
115 Figure 6 1 Effect of Hysteretic Properties on Response to 1940 NS El Centro Record (from Nakamura…
116 6.2.2 Effect of Ground Motion Duration
6.2.3 Residual Displacement
6.2.4 Repeated Loading
117 6.3 Dynamic Analysis Framework
6.3.1 Overview
6.3.2 Dynamic Analysis Approach
118 6.3.3 Ground Motions
119 Table 6 1 Recorded Ground Motions Used in the Analyses
120 Figure 6 2 Characteristics of the WN87MWLN.090 (Mount Wilson) Ground Motion
121 Figure 6 3 Characteristics of the BB92CIVC.360 (Big Bear) Ground Motion
122 Figure 6 4 Characteristics of the SP88GUKA.360 (Spitak) Ground Motion
123 Figure 6 5 Characteristics of the LP89CORR.090 (Corralitos) Ground Motion
124 Figure 6 6 Characteristics of the NR94CENT.360 (Century City) Ground Motion
125 Figure 6 7 Characteristics of the IV79ARY7.140 (Imperial Valley Array) Ground Motion
126 Figure 6 8 Characteristics of the CH85LLEO.010 (Llolleo) Ground Motion
127 Figure 6 9 Characteristics of the CH85VALP.070 (Valparaiso University) Ground Motion
128 Figure 6 10 Characteristics of the IV40ELCN.180 (El Centro) Ground Motion
129 Figure 6 11 Characteristics of the TB78TABS.344 (Tabas) Ground Motion
130 Figure 6 12 Characteristics of the LN92JOSH.360 (Joshua Tree) Ground Motion
131 Figure 6 13 Characteristics of the MX85SCT1.270 (Mexico City) Ground Motion
132 Figure 6 14 Characteristics of the LN92LUCN.250 (Lucerne) Ground Motion
133 Figure 6 15 Characteristics of the IV79BRWY.315 (Brawley Airport) Ground Motion
134 Figure 6 16 Characteristics of the LP89SARA.360 (Saratoga) Ground Motion
135 Figure 6 17 Characteristics of the NR94NWHL.360 (Newhall) Ground Motion
136 Figure 6 18 Characteristics of the NR94SYLH.090 (Sylmar Hospital) Ground Motion
137 Figure 6 19 Characteristics of the KO95TTRI.360 (Takatori) Ground Motion
138 6.3.4 Force/Displacement Models
Figure 6 20 Force-Displacement Hysteretic Models
139 Figure 6 21 Degrading Models Used in the Analyses
140 Figure 6 22 Bilinear Model Used to Determine Strengths of Degrading Models
Figure 6 23 Specification of the Pinching Point for the Takeda Pinching Model
6.3.5 Undamaged Oscillator Parameters
141 Figure 6 24 Specification of the Uncracked Stiffness, Cracking Strength, and Unloading Stiffness …
6.3.6 Damaged Oscillator Parameters
Figure 6 25 Construction of Initial Force-Displacement Response for Prior Ductility Demand > 0 an…
142 Figure 6 26 Construction of Initial Force-Displacement Response for PDD> 0 and RSR< 1 for Takeda5…
143 Figure 6 27 Strength Degradation for Takeda Pinching Model
6.3.7 Summary of Dynamic Analysis Parameters
144 Figure 6 28 Construction of Initial Force-Displacement Response for PDD> 0 and RSR< 1 for Takeda …
6.3.8 Implementation of Analyses
6.4 Results Of Dynamic Analyses
6.4.1 Overview and Nomenclature
145 6.4.2 Response of Bilinear Models
6.4.3 Response of Takeda Models
146 Figure 6 29 Response of Bilinear Oscillators to Short Duration Records (DDD= 8)
147 Figure 6 30 Response of Bilinear Oscillators to Long Duration Records (DDD= 8)
148 Figure 6 31 Response of Bilinear Oscillators to Forward Directive Records (DDD= 8)
149 Figure 6 32 Displacement Response of Takeda Models Compared with Elastic Response and Bilinear Re…
150 Figure 6 33 Displacement Response of Takeda Models Compared with Elastic Response and Bilinear Re…
151 Figure 6 34 Displacement Response of Takeda Models Compared with Elastic Response and Bilinear Re…
153 Figure 6 35 Effect of Cracking Without and With Strength Reduction on Displacement Response of Ta…
154 Figure 6 36 Effect of Cracking Without and With Strength Reduction on Displacement Response of Ta…
155 Figure 6 37 Effect of Cracking Without and With Strength Reduction on Displacement Response of Ta…
156 Figure 6 38 Effect of Large Prior Ductility Demand Without and With Strength Reduction on Displac…
157 Figure 6 39 Effect of Large Prior Ductility Demand Without and With Strength Reduction on Displac…
158 Figure 6 40 Effect of Large Prior Ductility Demand Without and With Strength Reduction on Displac…
159 Figure 6 41 Effect of Damage on Response to El Centro (IV40ELCN.180) for Takeda5, T=0.2 sec (DDD= 8)
160 Figure 6 42 Effect of Damage on Response to El Centro (IV40ELCN.180) for Takeda5, T=0.5 sec (DDD= 8)
161 Figure 6 43 Effect of Damage on Response to El Centro (IV40ELCN.180) for Takeda5, T=1.0 sec (DDD= 8)
162 Figure 6 44 Effect of Damage on Response to El Centro (IV40ELCN.180) for Takeda5, T=1.5 sec (DDD= 8)
163 Figure 6 45 Effect of Damage on Response to El Centro (IV40ELCN.180) for Takeda5, T=2.0 sec (DDD= 8)
164 Figure 6 46 Effect of Large Prior Ductility Demand Without and With Strength Reduction on Displac…
165 Figure 6 47 Effect of Large Prior Ductility Demand Without and With Strength Reduction on Displac…
166 Figure 6 48 Effect of Large Prior Ductility Demand Without and With Strength Reduction on Displac…
167 Figure 6 49 Effect of Damage on Response of TakPinch Model to El Centro (IV40ELCN.180) for T=1.0 …
168 Figure 6 50 Effect of Damage on Response of TakPinch Model to El Centro (IV40ELCN.180) for T=1.0 …
169 6.4.4 Response Statistics
Figure 6 51 Effect of Cracking on Displacement Response of Takeda10 Model for Short Duration Reco…
170 Figure 6 52 Effect of Cracking on Displacement Response of Takeda10 Model for Long-Duration Recor…
Figure 6 53 Effect of Cracking on Displacement Response of Takeda10 Model for Forward Directive R…
171 Figure 6 54 Effect of Damage on Response of Takeda10 Model to El Centro (IV40ELCN.180) for T=1.0 …
173 6.5 Nonlinear Static Procedures
6.5.1 Introduction
174 6.5.2 Description of Nonlinear Static Procedures
175 Figure 6 58 Construction of Effective Stiffness for use with the Displacement Coefficient Method
176 Figure 6 59 Initial Effective Stiffness and Capacity Curves Used in the Secant and Capacity Spect…
Figure 6 60 Schematic Depiction of Secant Method Displacement Estimation
177 Figure 6 61 Schematic Depiction of Successive Iterations to Estimate Displacement Response Using …
6.5.3 Comments on Procedures
Figure 6 62 Schematic Depiction of Successive Iterations to Estimate Displacement Response Using …
178 6.5.4 Application of Procedures to Undamaged and Damaged Oscillators
6.6 Comparison of NSP and Dynamic Analysis Results
6.6.1 Introduction
6.6.2 Displacement Estimation
179 6.6.3 Displacement Ratio Estimation
180 Figure 6 63 Values of dd,NSP/dd for the Takeda5 Model
181 Figure 6 64 Mean values of dd,NSP /dd for all ground motions for each NSP method, for short and l…
Figure 6 65 Coefficient Method Estimates of Ratio of Damaged and Undamaged Oscillator Displacemen…
182 Figure 6 66 Coefficient Method Estimates of Ratio of Damaged and Undamaged Oscillator Displacemen…
Figure 6 67 Coefficient Method Estimates of Ratio of Damaged and Undamaged Oscillator Displacemen…
183 Figure 6 68 Secant Method Estimates of Ratio of Damaged and Undamaged Oscillator Displacement Nor…
Figure 6 69 Secant Method Estimates of Ratio of Damaged and Undamaged Oscillator Displacement Nor…
184 Figure 6 70 Secant Method Estimates of Ratio of Damaged and Undamaged Oscillator Displacement Nor…
Figure 6 71 Capacity Spectrum Method Estimates of Ratio of Damaged and Undamaged Oscillator Displ…
185 Figure 6 72 Capacity Spectrum Method Estimates of Ratio of Damaged and Undamaged Oscillator Displ…
Figure 6 73 Capacity Spectrum Method Estimates of Ratio of Damaged and Undamaged Oscillator Displ…
186 Figure 6 74 Coefficient Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Takeda5 Osc…
187 Figure 6 75 Coefficient Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Takeda5 Osc…
188 Figure 6 76 Coefficient Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Takeda5 Osc…
189 Figure 6 77 Secant Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Takeda5 Oscillat…
190 Figure 6 78 Secant Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Takeda5 Oscillat…
191 Figure 6 79 Secant Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Takeda5 Oscillat…
192 Figure 6 80 Capacity Spectrum Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Taked…
193 Figure 6 81 Capacity Spectrum Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Taked…
194 Figure 6 82 Capacity Spectrum Method Estimates of Displacement Ratio of RSR=0.6 and RSR=1.0 Taked…
195 6.7 Conclusions and Implications
196 6.8 References
199 7. Example Application
7.1 Introduction
7.1.1 Objectives
7.1.2 Organization
200 Figure 7 1 Flowchart for example
201 7.2 Investigation
7.2.1 Building Description
7.2.2 Post-earthquake Damage Observations
202 Figure 7 2 Floor Plans
203 Figure 7 3 Building Cross-section
Figure 7 4 Example Solid Wall Detail (Condition at Line 7)
204 Figure 7 5 Example Coupled Wall Detail (Condition at line B)
205 Figure 7 6 Solid Wall Example
206 Figure 7 7 Coupled Wall Example
207 7.2.3 Preliminary Classification (by Observation) of Component Types, Behavior Modes, and Damage …
208 7.2.4 Final Classification (by Analysis) of Component Type, Behavior Mode and Damage Severity
213 7.2.6 Summary of Component Classifications
217 7.3 Evaluation by the Direct Method
7.3.1 Structural Restoration Measures
218 Table 7 4 Summary of Component Type, Behavior Mode, and Damage Severity for Wall Components (Nort…
219 Table 7 5 Summary of Component Type, Behavior Mode, and Damage Severity for Wall Components (East…
7.3.2 Nonstructural Restoration Measures
7.3.3 Restoration Summary and Cost
7.4 Evaluation by Performance Analysis
220 Figure 7 8 Detail of Coupling Beam Replacement
Table 7 6 Restoration Cost Estimate by the Direct Method
7.4.1 Performance Objectives
221 Figure 7 9 Response Spectra for Selected Performance Levels
7.4.2 Nonlinear Static Analysis
222 Figure 7 10 Mathematical Model of Coupled Shear Wall
223 Figure 7 11 Mathematical Model of Full Building
224 7.4.3 Force-Displacement Capacity (Pushover Analysis) Results
225 Figure 7 12 Component Force-Displacement Curves for Coupling Beams
226 Figure 7 13 Comparison of Pre-event and Post-event Pushover Curves
227 7.4.4 Estimation of Displacement, de, Caused by Damaging Earthquake
Figure 7 14 Response Spectra from Damaging Earthquake
228 7.4.5 Displacement Demand
230 7.4.6 Analysis of Restored Structure
Table 7 7 Performance Indices for Pre-event and Post-event Structures
231 Figure 7 15 Comparison of Pre-event and Repaired Pushover Curves
232 7.4.7 Performance Restoration Measures
7.5 Discussion of Results
7.5.1 Discussion of Building Performance
Table 7 8 Restoration Cost Estimate by the Relative Performance Method
233 7.5.2 Discussion of Methodology and Repair Costs
7.6 References
235 Appendix A. Component Damage Records for Building Evaluated in Example Application
255 ATC-43 Project Participants
259 Applied Technology Council Projects And Report Information
FEMA 307 98 1998
$14.30