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(2) ONE MAN'S MAGIC IS ANOTHER MAN'S ENGINEERING.. SCIENTISTS INVESTIGATE THAT WHICH ALREADY IS; ENGINEERS CREATE THAT WHICH HAS NEVER BEEN.'.

(3) Compiled by:  IMRAN AKBER “10CE03”           (Group Leader) . AQEEL JOKHIO “10CE131” (AGL) ASHFAQUE CHANNA “10CE143”  MUHAMMAD SHOAIB “10CE147”  Supervised By:  PROF. PERVAIZ SHEIKH . DEPARTMENT OF CIVIL ENGINEERING MEHRAN UNIVERSITY OF ENGINEERING & TECHNOLOGY JAMSHORO, SINDH Submitted in partial fulfilment of the requirement for the degree of Bachelor of Civil Engineering December 2013.

(4) DEPARTMENT OF CIVIL ENGINEERING CERTIFICATE This is to certify that MR. IMRAN AKBER (GROUP LEADER)  MR. AQEEL JOKHIO  (AGL) MR. ASHFAQUE CHANNA  .  . “10CE03”             “10CE131” .  .            “10CE143” . MR. MUHAMMAD SHOAIB    .            “10CE147” . Have completed the Thesis work entitled “ANALYSIS AND DESIGN OF BUILDING STRUCTURES ACI 318R-11 WITH SEISMIC CONSIDERATIONS IBC 2012” as a partial requirement for the Degree of Bachelor of Engineering.. (PERVAIZ SHEKH). (Dr. G. B. Khaskheli). Professor Department of Civil Engineering Mehran University Of Engineering & Technology, Jamshoro. Chairman Department of Civil Engineering Mehran University Of Engineering & Technology, Jamshoro.

(5) ACKNOWLEDGEMENT. Foremost, we would like to express our sincere gratitude to our supervisor Prof. Pervaiz Sheikh for the continuous support of our thesis, for his patience, motivation, enthusiasm, and immense knowledge. His guidance helped us in all time of research and writing of this thesis. Besides our supervisor, we would like to thank our professional structural engineers for their good advice and support on both academic and on personal level, for which we are extremely grateful; Sir Zahoor Ahmed Memon for compilation of our Section of Manual methods of Design and Sir Fahad Samo for compilation of our Automated Section of Analysis and Design using ETABS and SAFE.. i.

(6) ABSTRACT. We have worked under the title “Analysis & Design of Building Structures ACI 318R-11 with seismic considerations IBC 2012”. We have collected Methods and procedures of Analysis and Design of Building Structures along with Earthquake effects. We did it to introduce modern methods for seismic loads calculation despite of IBC has replaced UBC in the year of 2000, still our practices are being carried out as per UBC 1997. In this achievement we have got remarkable data from US Geological Survey which provided the basic parameters. Now, we learned to calculate Earthquake effects using modern procedures of IBC 2012. As observing present situation of Building Code of Pakistan we have achieved a new trend to do practice on.. ii.

(7) CONTENTS AT A GLANCE. . STRUCTURAL ANALYSIS. Contents at a Glance. 1. Introduction to Structural Analysis 2. Structural Analysis: Basic Methods 3. Structural Analysis: Matrix Methods. . STRUCTURAL DESIGN 4. Introduction to Structural Design 5. Design of Structural Members. . EARTHQUAKE RESISTANT DESIGN 6. Earthquakes and Fundamentals of Ground Motion 7. Structural Response 8. Seismic Loading UBC 1997 & BCP, SP 2007 9. International Building Code IBC 2012. . COMPUTERS & STRUCTURES 10. Seismic Analysis and Design of Multistoried RC Building using ETABS. iii.

(8) TABLE OF CONTENTS CHAPTER 1 ............................................................................................................................ 1  INTRODUCTION TO STRUCTURAL ANALYSIS .......................................................................... 1  1.1 . INTRODUCTION ......................................................................................................... 1 . 1.2 . ROLE OF STRUCTURAL ANALYSIS IN STRUCTURAL ENGINEERING PROJECTS ............... 1 . 1.3 . CLASSIFICATION OF STRUCTURES .............................................................................. 3 . 1.3.1 . Tension Structures ................................................................................................ 3 . 1.3.2 . Compressive Structures......................................................................................... 4 . 1.3.3 . Trusses.................................................................................................................. 4 . 1.3.4 . Shear Structures ................................................................................................... 5 . 1.3.5 . Bending Structures ............................................................................................... 6 . 1.4 . ANALYSIS ................................................................................................................... 6 . 1.4.1 . Free Body Diagrams .............................................................................................. 7 . 1.4.2 . Sign Convention .................................................................................................... 8 . 1.5 . STRUCTURAL RESPONSE ................................................................................................... 9 . CHAPTER 2 .......................................................................................................................... 11  STRUCTURAL ANALYSIS: BASIC APPROACH .......................................................................... 11  2.1 . DOUBLE INTEGRATION METHOD ............................................................................. 11 . 2.1.1 . Elastic Curve ....................................................................................................... 11 . 2.1.2 . Load or Moment Function .................................................................................. 12 . 2.1.3 . Slope and Elastic Curve ....................................................................................... 12 . 2.2 . MOMENT AREA THEOREM .............................................................................................. 13 . 2.2.1 . M/EI Diagram ..................................................................................................... 13 . 2.2.2 . Elastic Curve ....................................................................................................... 14 . 2.2.3 . Moment‐Area Theorems ..................................................................................... 15 . 2.3 . CONJUGATE BEAM METHOD ............................................................................................ 16 . iv.

(9) v. 2.3.1 . Conjugate Beam ................................................................................................. 16 . 2.3.2 . Equilibrium ......................................................................................................... 17 . 2.4 . UNIT LOAD METHOD OR METHOD OF VIRTUAL WORK ............................................................ 18 . 2.4.1 . Virtual Moments m or mu ................................................................................... 18 . 2.4.2 . Real Moments .................................................................................................... 19 . 2.4.3 . Virtual‐Work Equation ........................................................................................ 19 . 2.5 . THREE MOMENT EQUATIONS ........................................................................................... 20 . 2.6 . SLOPE DEFLECTION METHOD ........................................................................................... 23 . 2.6.1 . Procedure ........................................................................................................... 24 . CHAPTER 3 .......................................................................................................................... 26  STRUCTURAL ANALYSIS: MATRIX APPROACH ...................................................................... 26  3.1 . INTRODUCTION ............................................................................................................ 26 . 3.1.1 . Force Analysis: .................................................................................................... 26 . 3.1.2 . Deformation Analysis: ........................................................................................ 26 . 3.1.3 . Requirement ....................................................................................................... 26 . 3.2 . FLEXIBILITY AND STIFFNESS ............................................................................................. 27 . 3.3 . FORCE OR FLEXIBILITY METHOD ........................................................................................ 27 . 3.3.1 . Basic concepts of Force or Flexibility method ...................................................... 27 . 3.3.2 . Flexibility Coefficient ........................................................................................... 28 . 3.3.3 . Generation of Flexibility Matrices [3.3] ............................................................... 28 . 3.3.4 . Procedure to Apply Force Method ...................................................................... 32 . 3.4 . DISPLACEMENT OR STIFFNESS METHOD .............................................................................. 32 . 3.4.1 . Basic concepts of Displacement or Stiffness method: .......................................... 32 . 3.4.2 . Stiffness, Stiffness Coefficient and Stiffness Matrix: ............................................ 33 . 3.4.3 . Principles of Stiffness Method for Beams and Plane Frames ............................... 34 . 3.4.4 . Generation of Stiffness Matrices [3.4] ................................................................. 34 .

(10) vi. 3.4.5 . Direct Stiffness Method ...................................................................................... 54 . 3.4.6 . Procedure to Apply Displacement Method .......................................................... 56 . 3.5 . COMPARISON OF BOTH METHODS .................................................................................... 56 . CHAPTER 4 .......................................................................................................................... 58  INTRODUCTION TO STRUCTURAL DESIGN ........................................................................... 58  4.1 . REINFORCED CONCRETE ................................................................................................. 58 . 4.2 . ADVANTAGES AND DISADVANTAGES OF REINFORCED CONCRETE ........................... 60 . 4.3 . STRUCTURAL DESIGN ..................................................................................................... 61 . 4.3.1  4.4 . Objectives ........................................................................................................... 61 . DESIGN PHILOSOPHY AND CONCEPTS...................................................................... 61 . 4.4.1 . Working Stress Method (WSM)........................................................................... 62 . 4.4.2 . Unified Design Method (UDM) ............................................................................ 62 . 4.4.3 . Ultimate Load Method (ULM) ............................................................................. 63 . 4.4.4 . Limit States Method (LSM).................................................................................. 64 . 4.4.5 . Summary of Design Methods .............................................................................. 67 . 4.5 . CODES OF PRACTICE ...................................................................................................... 68 . 4.5.1 . Purpose of Codes ................................................................................................ 68 . 4.5.2 . Basic Codes for Design ........................................................................................ 68 . 4.6 . LOADS ....................................................................................................................... 69 . 4.7 . SAFETY PROVISIONS [4.2] .............................................................................................. 71 . CHAPTER 5 .......................................................................................................................... 73  DESIGN OF STRUCTURAL MEMBERS .................................................................................... 73  5.1 . INTRODUCTION ............................................................................................................ 73 . 5.2 . RECTANGULAR BEAMS ................................................................................................... 74 . 5.2.1 . Types of Flexural Failure and Strain Limits [5.1] .................................................. 74 . 5.2.2 . Equivalent Compressive Stress Distribution ........................................................ 78 .

(11) vii. 5.2.3  5.3 . Beam Design ....................................................................................................... 81 . ANALYSIS AND DESIGN OF T SECTIONS ........................................................................ 92 . 5.3.1 . Description ......................................................................................................... 92 . 5.3.2 . Effective Width ................................................................................................... 93 . 5.3.3 . T ‐Sections Behaving as Rectangular Sections ..................................................... 94 . 5.3.4 . Analysis of a T‐Section ........................................................................................ 96 . 5.3.5 . Design of T‐Sections ............................................................................................ 99 . 5.4 . COLUMNS ................................................................................................................. 102 . 5.4.1 . Types of Columns .............................................................................................. 102 . 5.4.2 . Behavior of Axially Loaded Columns ................................................................. 105 . 5.4.3 . ACI Code Limitations ......................................................................................... 107 . 5.4.4 . Spiral Reinforcement ........................................................................................ 111 . 5.4.5 . DESIGN EQUATIONS ......................................................................................... 113 . 5.5 . ONE WAY SLABS ......................................................................................................... 115 . 5.5.1 . One‐Way Beam–Slab Systems .......................................................................... 115 . 5.5.2 . Temperature and Shrinkage Reinforcement ..................................................... 118 . 5.5.3 . Design of One‐Way Solid Slabs ......................................................................... 119 . 5.6 . TWO‐WAY SLABS ....................................................................................................... 126 . 5.6.1 . Types of Two‐Way Slabs ................................................................................... 126 . 5.6.2 . Economical Choice of Concrete Floor Systems ................................................... 130 . 5.6.3 . Design Concepts ............................................................................................... 130 . 5.6.4 . Column and Middle Strips ................................................................................. 131 . 5.6.5 . Minimum Slab Thickness to Control Deflection ................................................. 133 . 5.6.6 . Analysis of Two‐Way Slabs by The Direct Design Method ................................. 136 . 5.6.7 . Summary of the Direct Design Method (DDM) .................................................. 145 . 5.7 . FOUNDATIONS ........................................................................................................... 148 . 5.7.1 . Types of Foundations ........................................................................................ 150 .

(12) viii. 5.7.2 . Distribution of Soil Pressure .............................................................................. 153 . 5.7.3 . Design Considerations [5.1] .............................................................................. 154 . 5.7.4 . Combined Footings ........................................................................................... 162 . 5.7.5 . Footings under Eccentric Column Loads ............................................................ 165 . CHAPTER 6 ......................................................................................................................... 168  EARTHQUAKES AND FUNDAMENTALS OF GROUND MOTION ............................................. 168  6.1 . EARTHQUAKES ........................................................................................................... 168 . 6.2 . FUNDAMENTALS OF EARTHQUAKE GROUND MOTION ........................................................ 172 . 6.2.1 . Introduction ...................................................................................................... 172 . 6.2.2 . Recorded Ground Motion ................................................................................. 173 . 6.2.3 . Characteristics of Earthquake Ground Motion .................................................. 174 . 6.2.4 . Factors Influencing Ground Motion .................................................................. 174 . CHAPTER 7 ......................................................................................................................... 175  STRUCTURAL RESPONSE .................................................................................................... 175  7.1 . GENERAL ............................................................................................................... 175 . 7.2 . STRUCTURAL CONSIDERATION ....................................................................................... 175 . 7.3 . MEMBER CONSIDERATIONS .......................................................................................... 180 . CHAPTER 8 ......................................................................................................................... 182  SEISMIC LOADING UBC 1997 & BCP, SP 2007 ...................................................................... 182  8.1 . BUILDING CODES ........................................................................................................ 182 . 8.2 . UNIFORM BUILDING CODE, UBC 1997 ........................................................................... 183 . 8.2.1  8.3 . Division IV—Earthquake Design [8.3] ............................................................... 183 . BUILDING CODE OF PAKISTAN, SEISMIC PROVISION, BCP SP, 2007 ......................................... 195 . 8.3.1 . Static lateral force procedure ........................................................................... 196 . 8.3.2 . Dynamic lateral force procedure ....................................................................... 196 .

(13) ix. CHAPTER 9 ......................................................................................................................... 208  INTERNATIONAL BUILDING CODE 2012 .............................................................................. 208  9.1 . SECTION 1613 ‐ EARTHQUAKE LOADS ............................................................................ 208 . 9.2 . IBC DESIGN CRITERIA ................................................................................................... 209 . 9.2.1 . Mapped Acceleration Parameters .................................................................... 209 . 9.2.2 . Site Class........................................................................................................... 210 . 9.2.3 . Site Coefficients and Adjusted Maximum Considered Earthquake Spectral . Response Acceleration Parameters .......................................................................................... 210  9.2.4 . Design Spectral Acceleration Parameters [9.4] ................................................. 210 . 9.2.5 . Design Response Spectrum ............................................................................... 210 . 9.2.6 . Importance Factor and Occupancy Category [9.4] ............................................ 211 . 9.2.7 . Seismic Design Category ................................................................................... 212 . 9.3 . DESIGN REQUIREMENTS FOR SEISMIC DESIGN CATEGORY A ................................................. 212 . 9.4 . DESIGN REQUIREMENTS FOR SEISMIC DESIGN CATEGORIES B, C, D, E, AND F [9.4] ................. 213 . 9.4.1 . Structural System Selection ............................................................................... 214 . 9.4.2 . Structural Irregularities ..................................................................................... 218 . 9.4.3 . Analysis Procedure Selection............................................................................. 218 . 9.4.4 . Equivalent Lateral Force Procedure .................................................................. 219 . 9.4.5 . P‐∆ Effect .......................................................................................................... 239 . 9.4.6 . Diaphragm ....................................................................................................... 240 . 9.4.7 . Building Separation .......................................................................................... 241 . 9.4.8 . Anchorage of Concrete or Masonry Walls ......................................................... 241 . CHAPTER 10 ....................................................................................................................... 242  SEISMIC ANALYSIS AND DESIGN OF MULTISTORIED RC BUILDING USING ETABS ................. 242  10.1 . ETABS (EXTENDED 3D ANALYSIS OF BUILDING SYSTEM) ..................................................... 242 . 10.1.1 . Features and Benefits of ETABS .................................................................... 242 .

(14) x. 10.2 . PROJECT ................................................................................................................... 243 . 10.2.1 . General Description ..................................................................................... 243 . 10.2.2 . Drawings ...................................................................................................... 243 . 10.3 . ETABS 2013 ............................................................................................................. 244 . 10.3.1 . Material Properties ...................................................................................... 244 . 10.3.2 . Load Cases ................................................................................................... 244 . 10.3.3 . Analysis ........................................................................................................ 245 . CONCLUSION ..................................................................................................................... 261  APPENDIX – A .................................................................................................................... 262  FIXED‐END MOMENTS ....................................................................................................... 262  APPENDIX‐B....................................................................................................................... 263  SHEAR FORCE AND BENDING MOMENT DIAGRAMS FOR SELECTED LOADING CASES ........... 263  APPENDIX‐C ....................................................................................................................... 266  VALUES FOR RU MAX, . ,.  ........................................................................................... 266 . APPENDIX‐D ...................................................................................................................... 266  REBAR SIZE / SPACING CHART ............................................................................................ 266  APPENDIX‐E ....................................................................................................................... 268  REINFORCEMENT DESIGN AIDS .......................................................................................... 268  APPENDIX‐F ....................................................................................................................... 269  MINIMUM THICKNESS OF BEAMS & ONE‐WAY SOLID SLABS .............................................. 269  APPENDIX‐G ...................................................................................................................... 270  MINIMUM BEAM WIDTH (IN.) USING STIRRUPS ................................................................. 270  APPENDIX‐H ...................................................................................................................... 271 .

(15) xi. RECTANGULAR SECTIONS WITH COMPRESSION STEEL MINIMUM STEEL PERCENTAGE FOR  COMPRESSION STEEL TO YIELD .................................................................................................... 271  APPENDIX‐I ........................................................................................................................ 272  MODULUS OF ELASTICITY OF CONCRETE (KSI) .................................................................... 272  APPENDIX‐J ....................................................................................................................... 273  AREAS OF GROUPS OF STANDARD U.S. BARS IN SQUARE INCHES ....................................... 273  .......................................................................................................................................... 273  APPENDIX‐K ....................................................................................................................... 274  AREAS OF BARS IN SLABS (SQUARE INCHES PER FOOT) ....................................................... 274  APPENDIX‐L ....................................................................................................................... 275  CENTROIDS OF AREAS ........................................................................................................ 275  REFERENCES ...................................................................................................................... 276 .

(16) LIST OF FIGURES. FIGURE 1.2‐1: A FLOWCHART SHOWING THE VARIOUS PHASES OF A TYPICAL STRUCTURAL ENGINEERING PROJECT ............ 2  FIGURE 1.3‐1: TENSION STRUCTURES ............................................................................................................ 3  FIGURE 1.3‐2: COMPRESSION STRUCTURES ..................................................................................................... 4  FIGURE 1.3‐3: TRUSSES .............................................................................................................................. 5  FIGURE 1.3‐4: SHEAR STRUCTURES ............................................................................................................... 5  FIGURE 1.3‐5: BENDING STRUCTURES ............................................................................................................ 6  FIGURE 1.4‐1: ANALYSIS ............................................................................................................................. 7  FIGURE 1.4‐2: FREE BODY DIAGRAM ............................................................................................................. 8  FIGURE 1.4‐3: SIGN CONVENTION ................................................................................................................ 9  FIGURE 2.1‐1: DOUBLE INTEGRATION METHOD ............................................................................................. 11  FIGURE 2.1‐2: ELASTIC CURVE ................................................................................................................... 12  FIGURE 2.2‐1: MOMENT AREA METHOD ...................................................................................................... 13  FIGURE 2.2‐2: MOMENT DIAGRAM ............................................................................................................. 14  FIGURE 2.2‐3: ELASTIC CURVE (A) ............................................................................................................... 15  FIGURE 2.2‐4: ELASTIC CURVE (B) ............................................................................................................... 15  FIGURE 2.3‐1: CONJUGATE BEAM METHOD .................................................................................................. 17  FIGURE 2.4‐1: VIRTUAL LOAD .................................................................................................................... 18  FIGURE 2.4‐2: VIRTUAL MOMENT .............................................................................................................. 18  FIGURE 2.4‐3: REAL LOAD ......................................................................................................................... 19  FIGURE 2.4‐4: REAL MOMENT ................................................................................................................... 19  FIGURE 2.4‐5: UNIT LOAD EQUATION .......................................................................................................... 19  FIGURE 2.5‐1: THREE MOMENTS METHOD ................................................................................................... 21  FIGURE 2.6‐1: SLOPE DEFLECTION METHOD ................................................................................................. 24  FIGURE 3.3‐1: STRUCTURE WITH SINGLE FLEXIBILITY COORDINATE ...................................................................... 28  FIGURE 3.3‐2: STRUCTURE WITH TWO FLEXIBILITY COORDINATES ....................................................................... 29 . xii.

(17) xiii. FIGURE 3.3‐3: STRUCTURE WITH THREE FLEXIBILITY COORDINATES ...................................................................... 30  FIGURE 3.4‐1: MEMBERS SUBJECTED TO VARYING AXIAL LOAD ........................................................................... 33  FIGURE 3.4‐2: GRAPH OF LOAD VERSES DISPLACEMENT .................................................................................... 33  FIGURE 3.4‐3: SINGLE COORDINATE ............................................................................................................ 34  FIGURE 3.4‐4: MOMENT DIAGRAM ............................................................................................................. 35  FIGURE 3.4‐5: TWO COORDINATES ............................................................................................................. 35  FIGURE 3.4‐6 ......................................................................................................................................... 35  FIGURE 3.4‐7 ......................................................................................................................................... 36  FIGURE 3.4‐8 ......................................................................................................................................... 37  FIGURE 3.4‐9: FRAME .............................................................................................................................. 38  FIGURE 3.4‐10: FRAME (A) ....................................................................................................................... 39  FIGURE 3.4‐11 ....................................................................................................................................... 39  FIGURE 3.4‐12 ....................................................................................................................................... 40  FIGURE 3.4‐13: THREE COORDINATES STIFFNESS COEFFICIENTS ......................................................................... 43  FIGURE 3.4‐14: MEMBER OR ELEMENT STIFFNESS MATRIX .............................................................................. 44  FIGURE 3.4‐15: STIFFNESS COEFFICIENTS ..................................................................................................... 46  FIGURE 3.4‐16: STIFFNESS COEFFICIENTS ..................................................................................................... 48  FIGURE 3.4‐17 ....................................................................................................................................... 50  FIGURE 3.4‐18 ....................................................................................................................................... 52  FIGURE 3.4‐19: DIRECT STIFFNESS MATRIX METHOD ...................................................................................... 55  FIGURE 3.5‐1: FLEXIBILITY AND STIFFNESS COMPARISON .................................................................................. 57  FIGURE 4.1‐1: REINFORCED CONCRETE ........................................................................................................ 59  FIGURE 5.2‐1: REINFORCED CONCRETE BEAM ............................................................................................... 74  FIGURE 5.2‐2: STRESS AND STRAIN DIAGRAMS .............................................................................................. 75  FIGURE 5.2‐3:STRAIN LIMIT DISTRIBUTION ................................................................................................... 77  FIGURE 5.2‐4: BALANCED STRAIN CONDITION ............................................................................................... 77  FIGURE 5.2‐5: ULTIMATE FORCES IN A RECTANGULAR SECTION .......................................................................... 79 .

(18) xiv. FIGURE 5.2‐6: VALUES OF BETA FOR DIFFERENT FC'. ....................................................................................... 80  FIGURE 5.2‐7: INTERNAL EQUILIBRIUM OF RCC SECTION ................................................................................. 80  FIGURE 5.2‐8: LOAD FACTOR COMBINATIONS ............................................................................................... 82  FIGURE 5.2‐9: STRESS IN BEAM .................................................................................................................. 83  FIGURE 5.2‐10: CRITICAL SHEAR................................................................................................................. 86  FIGURE 5.2‐11: DOUBLY REINFORCED RECTANGULAR BEAM. ............................................................................. 88  FIGURE 5.3‐1: (A)  T‐SECTION AND (B)  I‐SECTION,  WITH (C)  ILLUSTRATION  OF EFFECTIVE FLANGE WIDTH B_E ............ 93  FIGURE 5.3‐2: EFFECTIVE FLANGE WIDTH OF T‐BEAMS ..................................................................................... 94  FIGURE 5.3‐3: RECTANGULAR SECTION BEHAVIOR (A)  WHEN THE  NEUTRAL AXIS LIES  WITHIN THE FLANGE AND (B) WHEN  THE STRESS DISTRIBUTION DEPTH EQUALS THE SLAB THICKNESS. ................................................................. 95 . FIGURE 5.3‐4: T‐SECTION BEHAVIOR. ........................................................................................................... 96  FIGURE 5.3‐5:T ‐SECTION ANALYSIS. ............................................................................................................ 97  FIGURE 5.3‐6: ACI CODE, SECTION 8.12 ..................................................................................................... 99  FIGURE 5.4‐1 TYPES OF COLUMNS ............................................................................................................. 103  FIGURE 5.4‐2: FAILURE OF SHORT COLUMN ................................................................................................ 104  FIGURE 5.4‐3: FAILURE OF LONG COLUMN ................................................................................................. 104  FIGURE 5.4‐4: FAILURE OF TIED COLUMN ................................................................................................... 104  FIGURE 5.4‐5: FAILURE OF SPIRAL COLUMN ................................................................................................ 105  FIGURE 5.4‐6: BEHAVIOR OF TIED AND SPIRAL COLUMNS ................................................................................ 106  FIGURE 5.4‐7: ACI CODE, SECTION 10.9.1 ................................................................................................ 108  FIGURE 5.4‐8: ACI CODE, SECTION 10.9.2 ................................................................................................ 108  FIGURE 5.4‐9: ARRANGEMENT OF BARS AND TIES IN COLUMNS ........................................................................ 109  FIGURE 5.4‐10: ACI CODE, SECTION 7 .10.4 .............................................................................................. 110  FIGURE 5.4‐11: ACI CODE, SECTION 7 .10.5 .............................................................................................. 110  FIGURE 5.4‐12: DIMENSIONS OF A COLUMN SPIRAL ...................................................................................... 112  FIGURE 5.4‐13: ACI CODE, SECTION 10.3.6 .............................................................................................. 114  FIGURE 5.5‐1: ONE WAY SLAB .................................................................................................................. 115 .

(19) xv. FIGURE 5.5‐2: MOMENTS AND REINFORCEMENT LOCATIONS IN CONTINUOUS BEAMS ........................................... 117  FIGURE 5.5‐3: CRITICAL SHEAR (A) ............................................................................................................ 118  FIGURE 5.5‐4: CRITICAL SHEAR (B) ............................................................................................................ 118  FIGURE 5.5‐5: ONE‐WAY SLAB BAR BENDING AND PLACING DETAIL ................................................................... 118  FIGURE 5.5‐6: ACI CODE, SECTION 7.12.2 ................................................................................................ 119  FIGURE 5.5‐7: RECTANGULAR STRIP IN ONE WAY SLAB ................................................................................... 120  FIGURE 5.5‐8: ACL CODE, SECTION 8.3 ..................................................................................................... 121  FIGURE 5.5‐9: MOMENT COEFFICIENTS FOR CONTINUOUS BEAMS AND SLABS ..................................................... 122  FIGURE 5.5‐10: COVER IN SLABS ............................................................................................................... 123  FIGURE 5.5‐11: ACI CODE, SECTION 7.6.5 ................................................................................................ 125  FIGURE 5.6‐1: TWO‐WAY SLABS ON BEAMS ............................................................................................... 126  FIGURE 5.6‐2: FLAT SLABS ...................................................................................................................... 127  FIGURE 5.6‐3: FLAT SLABS WITH DROP PANELS AND COLUMN CAPITALS ............................................................. 127  FIGURE 5.6‐4: FLAT SLABS WITH DROP PANELS ONLY ..................................................................................... 128  FIGURE 5.6‐5: FLAT SLABS WITH COLUMN CAPITALS ONLY .............................................................................. 128  FIGURE 5.6‐6: FLAT‐PLATE FLOORS ........................................................................................................... 129  FIGURE 5.6‐7: WAFFLE SLAB ................................................................................................................... 129  FIGURE 5.6‐8: COLUMN AND MIDDLE STRIPS; X = 0.25/1 OR 0.25H WHICHEVER IS SMALLER. ................................ 132  FIGURE 5.6‐9 BENDING MOMENT IN A FIXED – END BEAM. .............................................................................. 137  FIGURE 5.6‐10 CRITICAL SECTIONS FOR NEGATIVE DESIGN MOMENTS. A‐A, SECTION FOR NEGATIVE MOMENT AT EXTERIOR  SUPPORT WITH BRACKET. ................................................................................................................ 138 . FIGURE 5.6‐11: DISTRIBUTION OF MOMENTS IN AN INTERIOR PANEL. ................................................................ 139  FIGURE 5.6‐12 EXTERIOR PANEL. .............................................................................................................. 140  FIGURE 5.6‐13 DISTRIBUTION OF TOTAL STATIC MOMENT INTO NEGATIVE AND POSITIVE SPAN MOMENTS. ................ 142  FIGURE 5.6‐14 WIDTH OF THE EQUIVALENT RIGID FRAME (EQUAL SPANS IN THIS FIGURE) AND DISTRIBUTION OF MOMENTS  IN FLAT PLATES, FLAT SLABS, AND WAFFLE SLABS WITH NO BEAMS. ........................................................... 143 . FIGURE 5.7‐15.7‐8: DISTRIBUTION OF SOIL PRESSURE ASSUMING UNIFORM PRESSURE ......................................... 153 .

(20) xvi. FIGURE 5.7‐25.7‐9: SOIL PRESSURE DISTRIBUTION IN COHESION LESS SOIL (SAND) ............................................... 154  FIGURE 6.1‐1: EARTH'S TECTONIC PLATES ................................................................................................... 168  FIGURE 6.1‐2: DIGITAL TECTONIC ACTIVITY MAP OF THE EARTH ...................................................................... 169  FIGURE 6.1‐3: EARTHQUAKE WAVES ......................................................................................................... 170  FIGURE 6.1‐4: EPICENTER ....................................................................................................................... 171  FIGURE 6.1‐5: EFFECT OF INERTIA IN A BUILDING WHEN SHAKEN AT ITS BASE ....................................................... 171  FIGURE 6.1‐6: INERTIA FORCE AND RELATIVE MOTION WITHIN A BUILDING ......................................................... 171  FIGURE 6.1‐7: ARRIVAL OF SEISMIC WAVES AT A SITE ..................................................................................... 172  FIGURE 6.2‐1: EARTHQUAKE RECORD ........................................................................................................ 173  FIGURE 7.2‐1: MODAL SHAPES FOR A THREE STOREY BUILDING (A) FIRST MODE; (B) SECOND MODE; (C) THIRD MODE .. 176  FIGURE 7.2‐2: UPPER STOREYS OF OPEN GROUND STOREY MOVE TOGETHER AS SINGLE BLOCK ................................ 177  FIGURE 7.2‐3: GROUND STOREY OF REINFORCED CONCRETE BUILDING LEFT OPEN TO FACILITATE ............................. 177  FIGURE 7.2‐4: SIMPLE PLAN SHAPE BUILDINGS DO WELL DURING EARTHQUAKE.................................................... 178  FIGURE 7.2‐5: BUILDINGS WITH ONE OF THEIR OVERALL SIZES MUCH LARGER OR MUCH SMALLER THAN OTHER TWO .... 179  FIGURE 7.2‐6: BUILDINGS WITH SETBACKS .................................................................................................. 179  FIGURE 7.2‐7: HAMMERING OR POUNDING ................................................................................................ 180  FIGURE 7.3‐1: FRAME SUBJECTED TO LATERAL LOADING (A) DEFLECTED SHAPE; (B) MOMENTS ACTING ON BEAM‐COLUMN  JOINT ......................................................................................................................................... 181 . FIGURE 8.2‐1: SECTION 1612.2 LOAD COMBINTIONS ................................................................................... 187  FIGURE 8.3‐1: SESIMIC HAZARD ZONES OF PAKISTAN [8.4] ............................................................................. 198  FIGURE 8.3‐2: SEISMIC ZONING OF PAKISTAN [8.4] ...................................................................................... 199  FIGURE 8.3‐3: SEISMIC ZONING SINDH [8.4] .............................................................................................. 200  FIGURE 8.3‐4: SEISMIC ZONING PUNJAB [8.4] ............................................................................................ 201  FIGURE 8.3‐5: SEISMIC ZONING BALUCHISTAN [8.4] ..................................................................................... 202  FIGURE 8.3‐6: SEISMIC ZONING KPK, JK, NORTHERN AREAS [8.4] .................................................................. 203  FIGURE 9.2‐1: DESIGN RESPONSE SPECTRUM ............................................................................................... 211  FIGURE 9.4‐1: BEARING WALL SYSTEM ....................................................................................................... 215 .

(21) xvii. FIGURE 9.4‐2: BUILDING FRAME SYSTEM .................................................................................................... 216  FIGURE 9.4‐3: MOMENT‐RESISTING FRAME SYSTEM FBD ............................................................................... 216  FIGURE 9.4‐4: MOMENT‐RESISTING FRAME SYSTEM ...................................................................................... 217  FIGURE 9.4‐5: SHEAR WALL‐FRAME INTERACTIVE SYSTEM ............................................................................... 218  FIGURE 9.4‐6: SCHEMATIC CENTER OF MASS IN SHEAR WALL ........................................................................... 236  FIGURE 9.4‐7: CANTILEVER SHEAR‐WALL DEFLECTION .................................................................................... 236  FIGURE 9.4‐8: SCHEMATIC CENTER OF RIGIDITY IN A SHEAR WALL ..................................................................... 236  FIGURE 9.4‐9: SHEAR DISTRIBUTION FORMULATION ...................................................................................... 238   .

(22) LIST OF TABLES   TABLE 2.3‐1: CONJUGATE BEAM METHOD ................................................................................................... 16  TABLE 4.4‐1: SUMMARY OF DESIGN METHODS .............................................................................................. 67  TABLE 4.6‐1: TYPICAL UNIFORMLY DISTRIBUTED DESIGN LOADS ........................................................................ 70  TABLE 4.6‐2: DENSITY AND SPECIFIC GRAVITY OF VARIOUS MATERIALS ............................................................... 71  TABLE 5.2‐1: BENDING MOMENTS .............................................................................................................. 82  TABLE 5.2‐2: BAR DIAMETER CHART ........................................................................................................... 84  TABLE 5.4‐1: MAXIMUM SPACINGS OF TIES ................................................................................................ 111  TABLE 5.4‐2: SPIRALS FOR CIRCULAR COLUMNS (FY = 60 KSI) ......................................................................... 112  TABLE 5.5‐1: MINIMUM THICKNESS H OF NON‐PRESTRESSED ONE‐WAY SLABS .................................................... 116  TABLE 5.5‐2:ACI CODE, TABLE 9.5A ......................................................................................................... 123  TABLE 5.5‐3: ACI CODE, TABLE 9.5B ........................................................................................................ 124  TABLE 5.6‐1: MINIMUM SLAB THICKNESS ................................................................................................... 134  TABLE 5.6‐2 DISTRIBUTION OF MOMENTS IN AN END PANEL .......................................................................... 141  TABLE 5.6‐3 PERCENTAGE OF LONGITUDINAL MOMENT IN COLUMN STRIPS, INTERIOR PANELS (ACI CODE, SECTION  13.6.4) ..................................................................................................................................... 142  TABLE 5.6‐4 PERCENTAGE OF MOMENTS IN TWO‐WAY INTERIOR SLABS WITHOUT BEAMS (Α1 = 0) ........................ 143  TABLE 5.6‐5 PERCENTAGE OF LONGITUDINAL MOMENT IN COLUMN STRIPS, EXTERIOR PANELS (ACI CODE, SECTION  13.6.4) ..................................................................................................................................... 144  TABLE 5.6‐6 PERCENTAGE OF LONGITUDINAL MOMENT IN COLUMN AND MIDDLE STRIPS, EXTERIOR PANELS (FOR ALL  RATIOS OF L2/L1 ), GIVEN Α1 = Β1= 0 ................................................................................................ 144  TABLE 8.2‐1: MAXIMUM ALLOWABLE DEFLECTION FOR STRUCTURAL MEMBERS ............................... 190  TABLE 8.2‐2: SEISMIC ZONE FACTOR Z ................................................................................................. 190  TABLE 8.2‐3: SOIL PROFILE TYPES ........................................................................................................ 190  TABLE 8.2‐4: OCCUPANCY CATEGORY ................................................................................................. 191  TABLE 8.2‐5: STRUCTURAL SYSTEMS ................................................................................................... 192 . xviii.

(23) xix. TABLE 8.2‐6: SEISMIC COEFFICIENT CA ................................................................................................. 194  TABLE 8.2‐7: SEISMIC COEFFICIENT CV ................................................................................................. 194  TABLE 8.3‐1: SEISMIC ZONES OF TEHSILS OF PAKISTAN (A) [8.4] ..................................................................... 204  TABLE 8.3‐2: SEISMIC ZONES OF TEHSILS OF PAKISTAN (B) [8.4] ..................................................................... 205  TABLE 8.3‐3: SEISMIC ZONES OF TEHSILS OF PAKISTAN (C) [8.4] ..................................................................... 206  TABLE 8.3‐4: SEISMIC ZONES OF TEHSILS OF PAKISTAN (D) [8.4] ..................................................................... 207  TABLE 9.4‐1: PERMITTED ANALYTICAL PROCEDURES ..................................................................................... 219  TABLE 9.4‐2: VALUE OF CT AND X ............................................................................................................. 223  TABLE 9.4‐3: COEFFICIENT FOR UPPER LIMIT ON CALCULATED PERIOD .............................................................. 224  TABLE 9.4‐4: ALLOWABLE STORY DRIFT (ΔA) .............................................................................................. 224  TABLE 9.4‐5: GROUND MOTION SPECTRAL RESPONSE ACCELERATION FOR SOME CITIES OF SINDH [9.3] .................. 225  TABLE 9.4‐6: SITE CLASSIFICATION: ........................................................................................................... 226  TABLE 9.4‐7: VALUES OF SITE COEFFICIENT FA ..................................................................................... 227  TABLE 9.4‐8: VALUES OF SITE COEFFICIENT FV ..................................................................................... 227  TABLE 9.4‐9: SEISMIC IMPORTANCE .......................................................................................................... 228  TABLE 9.4‐10: SEISMIC DESIGN CATEGORY BASED ON SHORT PERIOD RESPONSE ACCELERATION PARAMETER ........... 229  TABLE 9.4‐11: SEISMIC DESIGN CATEGORY BASED ON 1‐SECOND PERIOD RESPONSE ACCELERATION PARAMETER ...... 229  TABLE 9.4‐12: DESIGN COEFFICIENTS AND FACTORS FOR SEISMIC FORCE‐RESISTING SYSTEMS ............................... 230  TABLE 9.4‐13: ALLOWABLE STORY DRIFT (ΔA) ............................................................................................ 239 .

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