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| موضوع: كتاب Structural Modeling and Experimental Techniques الأربعاء 13 يوليو 2022, 11:39 pm | |
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أخواني في الله أحضرت لكم كتاب Structural Modeling and Experimental Techniques Harry G. Harris Drexel University Philadelphia, Pennsylvania and Gajanan M. Sabnis Howard University Washington, D.C.
و المحتوى كما يلي :
Table of Contents Chapter 1 Introduction to Physical Modeling in Structural Engineering 1.1 Introduction 1.2 Structural Models — Definitions and Classifications 1.3 A Brief Historical Perspective on Modeling 1.4 Structural Models and Codes of Practice 1.5 Physical Modeling and the New Engineering Curriculum I 1.6 Choice of Geometric Scale ' 1.7 The Modeling Process 1' 1.8 Advantages and Limitations of Model Analysis 1 1.9 Accuracy of Structural Models 1 1.10 Model Laboratories 1 1.11 Modeling Case Studies 1 1.12 Summary 3 Problems 3 References 3 Chapter 2 The Theory of Structural Models 2.1 Introduction - 2.2 Dimensions and Dimensional Homogeneity L 2.3 Dimensional Analysis ‘ 2.4 Structural Models ' 2.5 Similitude Requirements < 2.6 Summary ' Problems ' References I Chapter 3 Elastic Models- Materials and Techniques 3.1 Introduction 1 3.2 Materials for Elastic Models ! 3.3 Plastics : 3.4 Time Effects in Plastics — Evaluation and Compensation 1 3.5 Effects of Loading Rate, Temperature, and the Environment L 3.6 Special Problems Related to Plastic Models I1 3.7 Wood and Paper Products I1 3.8 Elastic Models — Design and Research Applications 1 3.9 Determination of Influence Lines and Influence Surfaces Using Indirect Models — Muller-Breslau Principle 1 3.10 Summary . 1 Problems 1 References 1Chapter 4 Inelastic Models: Materials for Concrete and Concrete I Masonry Structures 4.1 General 130 4.2 Prototype and Model Concretes 130 4.3 Engineering Properties of Concrete 131 4.4 Unconfined Compressive Strength and Stress-Strain Relationship 133 4.5 Tensile Strength of Concrete , 142 4.6 Flexural Behavior of Prototype and Model Concrete 146 4.7 Behavior in Indirect Tension and Shear 148 4.8 Design Mixes for Model Concrete 153 4.9 Summary of Model Concrete Mixes Used by Various Investigators 159 4.10 Gypsum Mortars 165 4.11 Modeling of Concrete Masonry Structures ....170 4.12 Strength of Model Block Masonry Assemblages 188 I 4.13 Summary 202 Problems 202 References 205 Chapter 5 Inelastic Models: Structural Steel and Reinforcing Bars 5.1 Introduction 210 5.2 Steel 210 5.3 Structural Steel Models 214 I 5.4 Reinforcement for Small-Scale Concrete Models 230 5.5 Model Prestressing Reinforcement and Techniques 252 | 5.6 FRP Reinforcement for Concrete Models 255 I 5.8 5.7 Bond Bond Characteristics Similitude of Model Steel 259 | 5.9 Cracking Similitude and General Deformation Similitude in Reinforced 266 ;: Concrete Elements 267 I 5.10 Summary 272 Problems 272 i References 274 Chapter 6 Model FabricationTechniques 6.1 Introduction 280 6.2 Basic Cutting, Shaping, and Machining Operations 281 6.3 Basic Fastening and Gluing Techniques 283 6.4 Construction of Structural Steel Models 287 6.5 Construction of Plastic Models 288 6.6 Construction of Wood and Paper Models 296 6.7 Fabrication of Concrete Models 299 6.8 Fabrication of Concrete Masonry Models 309 6.9 Summary 312 Problems 312 References 315 Chapter 7 Instrumentation — Principles and Applications 7.1 General „320 7.2 Quantities to be Measured 320 7.3 Strain Measurements 322 7.4 Displacement Measurements 348 7.5 Full-Field Strain Measurements and Crack Detection Methods 351 7.6 Stress and Force Measurement 353 7.7 Temperature Measurements 361 7.8 Creep and Shrinkage Characteristics and Moisture Measurements 362 7.9 Data Acquisition and Reduction 364 7.10 Fiber Optics and Smart Structures 367 7.11 Summary 377 Problems . 377 References 381 Chapter 8 Loading Systems and Laboratory Techniques 8.1 Introduction 383 8.2 Types of Loads and Loading Systems 384 8.3 Discrete vs. Distributed Loads 389 8.4 Loadings for Shell and Other Models 390 8.5 Loading Techniques for Buckling Studies and For Structures Subject to Sway 400 8.6 Miscellaneous Loading Devices 404 8.7 Summary . 407 Problems 407 References 409 Chapter 9 Size Effects, Accuracy, and Reliability in Materials Systems and Models 9.1 General 412 9.2 What Is a Size Effect? 414 9.3 Factors Influencing Size Effects 414 9.4 Theoretical Studies of Size Effects 415 9.5 Size Effects in Plain Concrete —Experimental Work 420 9.6 Size Effects in Reinforced and Prestressed Concrete 431 9.7 Size Effects in Metals and Reinforcements 433 9.8 Size Effects in Masonry Mortars 434 9.9 Size Effects and Design Codes 435 9.10 Errors in Structural Model Studies 437 9.11 Types of Errors 439 9.12 Statistics of Measurements 441 9.13 Propagation of Random Errors 444 9.14 Accuracy in (Concrete) Models 450 9.15 Overall Reliability of Model Results 457 9.16 Influence of Cost and Time on Accuracy of Models 458 9.17 Summary 458 Problems 459 References 460Chapter 10 Model Applications and Case Studies 10.1 Introduction 466 10.2 Modeling Applications 466 10.3 Case Studies - 529 10.4 Summary 572 Problems 573 References 579 Chapter 11 Structural Models for Dynamic Loads 11.1 Introduction 586 11.2 Similitude Requirements 587 11.3 Materials for Dynamic Models .....588 11.4 Loading Systems for Dynamic Model Testing 593 11.5 Examples of Dynamic Models 604 11.6 Case Studies 649 11.7 Summary 673 Problems 673 References 675 Chapter 12 Educational Models for Civil and Architectural Engineering 12.1 Introduction 680 12.2 Historical Perspective 681 12.3 Linearly Elastic Structural Behavior 681 12.4 Nonlinear and Inelastic Structural Behavior 694 12.5 Structural Dynamics Concepts 712 12.6 Experimentation and the New Engineering Curriculum 725 12.7 Case Studies and Student Projects 729 12.8 Summary 751 Problems 752 References 753 Appendix A Dimensional Dependence and Independence A.1 The Form of Dimensions 757 A.2 Method I: The Numeric Method 759 A.3 Method II: The Functional Method 761 A.4 Illustrative Examples 763 References 766 Appendix B A Note on the Use of SI Units in Structural Engineering B.l Geometry 768 B.2 Densities, Gravity Loads, Weights 768 B.3 Force, Moment, Stress, and Other Stress Resultants , 768 B.4 Miscellaneous (Angles, Temperature, Energy, Power) 768 B.5 SI System Standard Practice 769 Index 771 iIndex A AASHTO Code, 539 decks, 538 Acceleration, 78 records, 654, 655 top-floor, 597 Accelerometers, 595, 617 Acetone, 292 ACI, see American Concrete Institute Acoustic emission, 353 Acrylic plastics, 88, 291 Actuator, hand-operated, 503 Adequate model, 56 Adhesives, 286, 328, 439 Aeroelastic models, 4, 616 Aerospace vehicles, 606 Aggregate(s) content, effect of, 138 grading curves for, 164 -gypsum ratio, 167, 169 size, 421 Airbag pressure loading system, 393 Air-cured specimen, 140 Airplane parts, 324 propeller, torque on, 673 AISC, see American Institute of Steel Construction Aluminum, 111 American Association of State Highway and Transportation Officials Code, 20 American Concrete Institute (ACI), 131 American Institute of Steel Construction (AISC), 211 American Society for Testing and Materials (ASTM), 89, 767 requirements, 66 standards, 91, 199 structural steel, 588 type N masonry mortar, 181 Analog-digital converter, 501 Analytical predictions, 457, 597 Anchorage systems, 253 Annealing furnaces, 329 processes, 250 Antenna model, load-deflection characteristics of, 748 Apollo shell, model of simplified, 609 simplified shell structure, 607 Appalachian Trail, footbridges for, 126 Apparent modulus, 96 Arch load-deflection behavior of model, 712 model, 710 reinforced concrete, 705 width, 708 Architectural engineering, 466, 680, 692, 752 Artificial mass simulation, 223 ASCEStandards,767 ASTM, see American Society for Testing and Materials B Balsam fir, 116 Balsa wood, 298 advantage of using, 108 application of to model studies, 110 buckling study model, 297 joints, gluing of, 297 models, 109, 113, 296,750 modulus of elasticity of, 108 properties, 110 shapes available, 105 test,752 Bar forces, 687 stock, milling of, 225 Base isolation system, 723, 726, 727 shear, maximum, 654 Basswood, 116 Beam(s) average deflection of edge, 514 behavior of, 458 bending, effect of load discretization on, 390 block geometry, 711 bonding strength of grouted bond, 562 collapse mode of, 714 -column assemblies, results of tested, 470 771772 STRUCTURAL MODELING AND EXPERIMENTAL TECHNIQUES effects, 63 reinforced concrete, 578 continuous, 687 j cracking patterns of failed, 533 | double-taperedglulam,729 > ductility indexes, 526, 534 | failedmodel,697 | filler,222 | flange,715 | flexuralbondstrengthforgrouted,559 floor, 467 I materials, mechanical properties of, test, 529 1 model, 227 j glulam, 728 underreinforced and overreinforced, 695 moment-curvature behavior of reinforced, 532 multiple wires in, 307 overreinforced, 432, 433 I postcracking behavior of FRP-reinforced, 524 f prismatic, 447 I series, shear reinforcement connection nonreinforced, in stress-strain model, between 454relations 148slabfor, and, 242 577 simple, 685 test(s), 219, 223,426 model, 698 results, 524, 532 two-span continuous, 689 R/C, 701 University of Texas bond, 262 yielding in, 713 J Bed joint shear, 194 1 Beggs deformeter, 122 Bending, 682 | moment,ultimate,708 strains, 379, 381, 686 ! Birch veneer plywood, 115 j Black ironwood, 106 I Blast । attacks, threats of terroristic,488 I Block(s) geometric -making effects, chambers, loading, masonry, on effects machine, mortarless, accuracy 598 protective of Drexel high, of 556 structures, interlocking, 613 University, 612557 309, 310 g -molding machine, 312 | specimens,WHD,176 | splittingstrengthdetermination,model,170 | unit,WHD,557 J Blunders, 439, 448 1 Boat hulls, 324 I Boiling water reactors, 510 < Bond I beam j test, symmetrical, 263 J University of Texas, 262 similitude, 266 Boundary layer, development of over typical surfaces, 599 Braced frame specimen, 470 Bragg grating, fiber-optic, 370 Bridge(s) cable-stayed, 737 decks, reinforced concrete, 537 double-plane cable-stayed, 739 load-deflection characteristics of model, 740 curves of model, 572 long-span^ 14 model(s), 35, 280 extensive cracking in, 571 external post-tensioning of, 36 fatigue load test of, 36, 570 postfailure cracks in DT, 572 seismic testing of, 621 piers, earthquake-resistant, 502 prestressed wooden, 24, 542 reinforced concrete, 618 structures, 497 system modified DT concrete girder, 33 prestressed concrete composite, 31, 568 truss, 687 vibration model, 59, 60 wooden, 26 Brittle coatings, 352 Brittleness, 420 Buckingham’s pi theorem, 49, 53 Buckling, 682 behavior paper and wood plate girder demonstrating, 120 of thin shells, 144 capacity, predicted, 390 inelastic, 711 load, 37 elastic,575 Euler, 690 theoretical, 691 model, 401,402 program, experimental, 515 studies, 396, 400 tests, 126 Building(s) code, 650 components, 729 concrete large-panel, 486 cross wall, 627 dynamics of shear, 722 earthquake -resistant masonry, 473 simulation of masonry, 628 elements, precast, 732 frame, lateral load system for, 404 GLD reinforced concrete, 668 model, four-story, 723 precast concrete large panel, 622 shaking table tests on concrete, 660 structures, 466 wind effects on, 611 INDEX 773 Bundled strength theory, 415 Butt joints, failure of, 555 c Cable tension force, 739 Calcite filler, 94 Calendars, 104 Calibration procedures, 457 Cantilever beam, elastic stiffness of, 51 wall component assembly, 488 Capacitance gage, 326 Capillary welding, 292 Carbon fiber-reinforced polymer (CFRP), 31, 32, 569 Carlson stress meter, 358, 359 Cassegrainian antenna, 110 Casting technique, 619 Catalpa, 106 Cellulose acetates, 90 nitrates, 90 Cement(s) -aggregate ratio, 132 choosing 328 heat-cured epoxy resin, 356 particles, hydration of, 131 Portland, 174 rapid-hardening, 132 Cement and Concrete Association, 265 Centrifugal force, 81 Centrifuge(s), 604 soil-structure interaction studies using, 642 swinging basket of, 647 testing, modeling for, 76 CFRP, see Carbon fiber-reinforced polymer Circuit analysis, 332, 33 Civil engineering, 466, 767 structures, 73 undergraduate course, 681 Classroom demonstration models, 681 CMD, see Cross machine direction Coarse aggregate, 131 Code(s) equations, 436 provisions, 30, 560 size factors in, 437 Collapse modes, 710 Column interaction curve, 702 models, 215 reinforcement, 234, 241 specimens, reinforcement for, 504 stirrups, 23 strength formula, 79 Compaction density, 421 Complete set, 761 Composite action demonstration, 684 Compressibility time, 78 Compression load cells, 354 tests, 218, 431 Compressive strength, 557 effect of size on, 424 effect of strain rate on, 141, 591 relation of tensile strength to, 154 Computer codes, available to engineer, 86 -controlled systems, 407 as multipurpose laboratory tool, 367 Concrete(s) arches, reinforced, 705 beam(s) design of reinforced, 574 size sensitivity of web-reinforced, 436 underreinforced/overreinforced, 694 bridge(s) decks, 537 model, prestressed, 386 reinforced, 618 building(s) GLD reinforced, 668 lightly reinforced, 21 shaking table tests on, 660 three-story lightly reinforced, 23 bunkerlike facilities, 600 casting mode, 314 column(s) eccentrically loaded, 698 model, eccentrically loaded reinforced, 700 comparison of compressive stress-strain curves for, 137 components, precast, 733 compressive strength of, 143 cracks in, 352 creep recovery of, 136 crushing, 526 deck, monitoring strain of, 376 density, 770 dynamic properties of, 590 engineering properties of, 131 frames, reinforced, 614 gypsum-based model, 573 large-panel buildings, 486 long-term properties of, 429 masonry models, fabrication of, 309 test structure, reinforced, 484 units, 171 matrix strength, 421 mechanical properties of, 155 methods for testing, 148 model(s) accuracy in, 450 forms for casting reinforced, 302 FRP reinforcement for, 255 plywood forms for casting reinforced, 304 reinforced, 63, 64, 266, 299, 505 modulus, 770 moisture content, 363 pavements, 204 piers, reinforced, 498 prototypes, 153774 STRUCTURAL MODELING AND EXPERIMENTALTECHNIQUES reinforcement, 236 shell, model reinforced, 453 size effects in, 420, 431 slab(s) demonstration model of, 202 with penetrations, 517 strength of,418 stresses, 66 stress-strain behavior of, 133 characteristics, 135 curve, 156 structures GLD reinforced, 667 inelastic response of reinforced, 53 integration of fiber-optic sensors into, 373 T-beams, effective width of reinforced, 705 tensile strength of, 142, 426 Conjugate beam method, 688 Constant strain method,99 Construction procedure models, 5 Consulting engineers, 498 Continuous beams, 687, 689 Conversion factors, 769 Corbel stiffening, 699 Cork, 106 Crack(s) angle, 539 behavior, 520 detection methods, 351,353 distribution of, 261 formation, 564 at interior support, 704 invisible, 268 motion, transverse, 543 pattern(s), 637, 657 ofCoH slabs, 525 of deck regions, 538 differences in, 658 of failed beams, 533 of failed specimen, 480 final, 511,512, 624 in model frame, 269 of model T-beams, 709 observed in joints, 495 path of for RCH slabs, 526 of slab, 517 for specimen, 565 reproducing, 270 under stationary pulsating load, 540 similitude, 267, 431, 432 surfaces, reversing shear movement of, 541 widths, 271 Crazing, 291 Creep, 321 characteristics, 87, 362, 438 curves, 95 strains, 125, 136 tests, 99, 430 Critical volume, 158 Cross machine direction (CMD),119 Cube-root scaling law, 74 Curing, 140, 157, 168, 423 Cyclicloading, foundationsettlement during, 648 Cyclic tests, displacement history for, 480 D Damage pattern, of model, 625 propagation of, 637 Dampingratio,656 DAQ, see Data acquisition Data acquisition (DAQ), 329, 365, 366 dead-load, 536 entry, 366 observation of trends in, 457 recording, types of, 364 reduction, 377 tensile test, 523 DCDT,see Direct current differential transformer Dead load (DL), 387, 488 data, 536 deformations, 577 effects,573 Deadweights) effects, 315 measurement of loads using, 456 similitude condition, 406 stresses, 404, 547 suspended, 385, 387 Deck displacement, components of, 501 elements, welding of, 501 models, splice pattern for wood, 545 panel(s) models, noncontinuous, 539 simply supported, 538 ratio, 569 vertical displacements, 608 Deflection behavior, load vs. lateral, 744 curves, load vs., 704 measurements, 321 -measuring sensor, 684 predictions, full-scale, 556 Deformation hardening, 654 requirements, 236 Delta gage configuration, 346 Delta rosette, 340, 378 Design applications, applicability of models in, 34 code(s) recommendations, evaluation of, 474 size effects and, 435 live load, 770 methods, 2 and operating conditions, 57 requirements, relaxation of, 60 stress, 355 INDEX 775 Diagonal tension tests, 203, 562 Dial gage, 349 Diaphragm action, 692 Diffusion effect, due to drying, 420 Dimensional accuracy, 451 Dimensional analysis, 42, 45, 52 Dimensional dependence and independence, 757-766 examples, 763-766 form of dimensions, 757-759 functional method,761-763 numeric method, 759-761 Dimensional units, fundamental, 757 Dimensionless products, 49 Direct current differential transformer (DCDT), 350 Direct models, 204, 383, 488 Direct tension test, 146 Discrete loading, 391, 400 Displacement control loading history, 482 deformeter, 123 dial gages, 494 gages,617 history, for cyclic tests, 480 measurements, 348 model, 122 top story, 623 transducers, 18,487 Distortion, types of, 59 DL, see Dead load Dome(s) failure, 517, 520 model finished precast, 736 segmented precast concrete, 735 postshot, 620 preshot, 620 Double-Tee (DT) girders, 568 Douglas fir, 106, 116 Drilling platforms, 646, 647 Drop hammers, 601, 603 Drying, 420, 422 Drystack masonry systems,556 DTgirders, see Double-Tee girders Ductile hybrid fiber reinforced polymer, 256 Ductility indexes, for beams, 526, 527 Dummy gages, 364 Dynamic loads, structural models for, 585-678 case studies, 649-672 shaking table tests on lightly reinforced concrete buildings, 660-672 shaking table tests on R/C frame-wall structures, 652-660 wind tunnel tests of Toronto City Hall, 649-652 examples of dynamic models, 604-649 aeroelastic model studies of buildings and structures, 611-612 blast effects on protective structures, 612-614 earthquake simulation of masonry buildings, 628-641 earthquake simulation of reinforced concrete structures, 614-625 earthquake simulation of steel buildings, 625-627 impact loading, 641-642 natural modes and frequencies, 604-610 soil-structure interaction studies using centrifuge, 642-649 loading systems for dynamic model testing, 593-604 drophammersand impact pendulums, 601-604 shaking tables, 600-601 shock tubes and blast chambers, 598-600 vibration and resonant testing, 593-597 wind tunnel testing,597-598 materials for dynamic models, 588-593 dynamic properties of concrete, 590-593 dynamic properties of steel, 588-590 similitude requirements, 587-588 Dynamicmodels,4 examples of, 604 materials for, 588 Dynamic response, 321 E Earthquake(s) damage to historic buildings due to, 634 events,simulated, 639 forces,8 input, 617 loading, 467, 586, 720 modeling, 76 prototype full-intensity, 626 response, of structures, 77 -resistant bridge piers, 502 -resistant building, reinforced concrete frame-wall, 15 simulation of masonry buildings, 628 of steel buildings, 625 simulators),20, 222 test program, 626, 652 University of California, Berkeley, 653 Earthquake Engineering Research Center, 614 Earthquake Simulator Laboratory, 606 Eastern white pine, stress-strain characteristics of, 731 Ebony, 106 Educational models,forciviland architectural engineering, 679-755 case studies and student projects, 729-751 bridge structures, 736-741 building components and systems, 729-735 special structures, 741-751 experimentation and new engineering curriculum, 725-729 historical background, 725-726 new engineering curriculum, 726-729 historical perspective, 681 linearly elastic structural behavior, 681-694 architectural engineering models, 692-694 classroom demonstration models, 681-685776 STRUCTURAL MODELING AND EXPERIMENTAL TECHNIQUES laboratory demonstration models, 685-692 nonlinear and inelastic structural behavior, 694-712 ultimate-strength models of R/C components, 694-710 yielding and inelastic buckling of steel members, 710-711 structural dynamics concepts, 712-725 basic laboratory instrumentation, 712-718 dynamics of shear buildings, 722-725 vibrations of lumped-mass systems, 718-722 Elastic buckling, 105, 682 Elastic displacement, maximum, 47 Elastic models, 85-128, 534 determination of influence lines and influence surfaces using indirect models, 121-123 effects of loading rate, temperature, and environment, 100-103 coefficients of thermal expansion, 101-102 effects of temperature and related thermal problems, 101 influence of relative humidity on elastic properties, 103 influence of strain rate on mechanical properties of plastics, 100-101 softening and demolding temperatures, 103 thermal conductivity, 102-103 materials for,87-88 plastics, 88-96 mechanical properties of polyester resin combined with calcite filler, 94-96 tension, compression, and flexural characteristics of, 89-92 thermoplastics and thermosetting plastics, 88-89 viscoelastic behavior of, 92-94 special problems related to plastic models, 103-104 influence of calendaring process on modulus of elasticity, 104 modeling of creep in prototype systems, 103-104 Poisson’s ratio considerations, 104 thickness variationsin commercial shapes, 104 time effects in plastics, 96-100 determination of time-dependent modulus of elasticity and Poisson’s ratio, 97-98 loading techniques to account for time¬ dependent effects, 98-100 wood and paper products, 104-120 balsa wood, 105-114 modeling of structural lumber, 114-115 small-scale modeling of glue-laminated structures, 115-120 Elastic plate, free transverse vibrations of, 54 Elastic properties, influence of relative humidity on, 103 Elastic response, 3 Electrical resistance gages, disadvantages of, 325 Electromagnetic shapers, 601 Embedded strain gages, 358 Embedded stress meters, 357 End-web bonding, 192, 194 Energy dissipation, 506, 667 Engineering curriculum new, 725 physical modeling and new, 8 phenomena, measurements of, 442, 443 programs, undergraduate, 726 Epoxy resins, 90, 91, 111, 356 Equation dimensionally homogeneous, 44 prediction, 57 Equivalent formulation, 48 Error propagation, 444, 447 types of, 439, 448 Euler buckling equation, 37 Experimental design engineer, 54 Experimental error, 439 Experimental stress analysis, 34 F Fabrication accuracy, 451 phase, planning of,10 Failure mechanism, 87, 658, 665 mode, 3, 176,471,513 Fastening techniques, 283 Fatigue deck behavior, 540 loading, 570, 571 testing, 33, 570 FBGS, see Fiber Bragg grating sensor FEM, see Finite element analysis FE model, see Finite-element model FFPI, see Fiber Farby-Perot interferometer Fiber Bragg grating sensor (FBGS), 368 Fiber Farby-Perot interferometer (FFPI), 368, 369 Fiber-optic sensor(s) earliest application of, 376 elliptic-core two-mode, 371 integration of into concrete structures, 373 intracore Bragg grating, 370 polarimetric, 371 Fiber-reinforced polymer (FRP), 14, 130, 210 beams, moment-curvature relationships of, 524 ductile, 522 reinforcement for concrete models, 255 nonductile, 256 stress-strain characteristics of, 257 systems, state-of-the-art linearly elastic, 528 Filler beams, 222 Fine aggregate, 131 Finite element analysis (FEM), 692, 693 Finite-element (FE) model, 559 INDEX 777 Fink roof truss geometry, 117 First-order similarity, 60 Flange cracking, 709 Flexibility matrix, determination of, 728 Flexural bond, 192 Flexural failure modes, 484 Floor beams, 467 displacements, 632 loading system, string, 385 slabs, composite, 473 suspension mechanisms, 495 system deflection pattern, 495 Flow visualization tests, 651 Fluidelastic models, 73 Folded plate action, 684 Force measurement, 353 -deformation relationships, 320 -displacement curves, postcracking, 637 Foundation link between super-structure and, 560 settlement, during cyclic loading, 648 stiffness, 642 Fourier amplitude spectra, 653 Fourier number, 69 Fracture mechanics, 414, 418 Frame action, 683 model four-story building, 724 steel-braced, 229 test, 403 -wall structures, 15 FRP, see Fiber-reinforced polymer Full bridge, 337 Full-field strain measurements, 351 Function generator, 596, 716 G Gable frames, 690 Gage(s), see also specific types capacitance, 326 circuitry, resistance strain, 332 configurations, 338 embedding, 320 factor error, 439 value of, 334 weldable, 326 Galileo’s statement, 80 Gaseous explosions, in domestic surroundings, 75 Gaussian density function, 441 Geodesic Tri-Span, Drexel, 747, 749 Geometric distortion, 61 Geometric scale, 9 GFRP, see Glass fiber-reinforced polymer Girder(s) balsa wood model plate, 743 -column web joint detail, 222, 224 reactions, 577 web buckling in, 745 Glass fiber-reinforced polymer (GFRP), 569 GLD, see Gravity load design Glue laminated (glulam) beams, 298 double-tapered, 730 model, 118,728,730 structures, 115 Gluing techniques, 283 Glulam, see Glue laminated Grain growth, 250 Graphical construction, 380 Gravitational acceleration, 77 Gravity deadweight stresses, 407 Gravity forces, 587 forming, of shells, 293 load, 403, 768 design (GLD), 660, 667, 668 simulation, 58 stresses, simulation of, 395 Gross behavior observations, 457 Grout(ing) control specimens, 193 effect of on prism compressive strength, 191 model, 185,186 prisms, failure mode of, 193 specimens, 198 strength, 187 Gypsum Hydrostone, 174, 750 mixes, 202 mortar, 165 mixes, 136 size effects in, 430 variation pf modulus of rupture with size for, 428 H Half bridge, 338 Hangar structures, 529 Hardwood species, North American, 26 Hickory, 106 High-speed train, 673 Highway bridges, 8, 9 Hinge details, 504 formation, 710 Homemade rosette, 348 Hooke’s law, 43, 92 Hoover Dam, 6 Hopkinson’s law, 74, 76 Horizontal joints, 476, 488 Hydraulic material, 131 Hydraulic tension jacks, 491778 STRUCTURAL MODELING AND EXPERIMENTAL TECHNIQUES Hydrostone gypsum, 174, 750 I Impact loading, 641 pendulums, 601 Independent random variable, 446 Indirect model, 3, 87, 122 Inductance strain gage, 327 Inelastic models, materials for concrete and concrete masonry structures^ 129-208 behavior in indirect tension and shear, 148-153 correlation of tensile splitting strength to flexural strength, 152-153 results of model split cylinder tests, 151-152 tensile splitting strength, 149-151 tensile splitting strength vs. age, 152 design mixes for model concrete, 153-158 choice of model material scale, 153-155 important parameters influencing mechanical properties of concrete, 155-158 properties of prototype to be modeled, 155 engineering properties of concrete, 131-133 flexural behavior of prototype and model concrete, 146-148 influence of strain gradient, 148 observed variations in modulus of rupture with changes in dimensions, 147-148 rate of loading, 148 specimen dimensions and properties, 147 stress-strain curves, 147 gypsum mortars, 165-170 curing and sealing procedures, 168 mechanical properties, 169-170 model concrete mixes used by various investigators, 159-165 modeling of concrete masonry structures, 170-188 model grout, 185-188 model masonry units, 171-181 model mortars, 181—185 prototype masonry units, 170-171 prototype and model concretes, 130—13J strength of model block masonry assemblages, 188-202 axial compression, 189-192 bed joint shear, 194-196 diagonal tension strength, 202 flexural bond, 192-194 in-plane tensile strength, 196-199 out-of-plane flexural tensile strength, 199-201 tensile strength of concrete, 142-146 unconfined compressive strength and stress-strain relationship, 133-142 comparison of prototype and model concrete stress-strain characteristics, 135-136 creep and creep recovery of concrete, 136-138 effect of aggregate content, 138-139 effect of strain rate, 139 model concrete, 134-135 moisture loss effects, 139-140 prototype concrete, 133-134 statistical variability in compressive strength,142 strength-age relations and curing, 140-142 Inelastic models, structural steel and reinforcing bars, 209-278 bond characteristics of model steel, 259-266 bond similitude, 266-267 cracking similitude and deformation similitude in reinforced concrete elements, 267-272 FRP reinforcement for concrete models, 255-259 ductile hybrid fiber reinforced polymer, 256-259 nonductile FRP reinforcement, 256 model prestressing reinforcement and techniques, 252-255 anchorage systems, 253-255 model prestressing reinforcement, 252-253 model reinforcement selection, 251-252 reinforcement for small-scale concrete models, 230-252 black annealed wire as model reinforcement, 233 commercially deformed wire as model reinforcement, 234-239 custom-ordered model wire, 233-234 heat treatment of model reinforcement, 250-251 laboratory wire-deforming machines, 239-249 model reinforcement used by various investigators, 230-232 wire reinforcement for small-scale models, 232-233 steel, 210-214 prestressing steels, 211-214 reinforcing steel bars, 211 structural steels, 211 structural steel models, 214-229 steel beams, 218-221 steel columns, 215-218 steel frames, 221-229 Infilled frames, 693 Influence diagrams, 3 line, plotting of, 688 Instrument(s) error, 439 manufacturers of, 329 Instrumentation, 319-382 creep and shrinkage characteristics and moisture measurements, 362-363 data acquisition and reduction, 364-367 types of data recording, 364-365 various data acquisition systems,365-367 displacement measurements, 348-351 INDEX 779 linear resistance potentiometers, 350 linear variable differential transformer, 349-350 mechanical dial gages, 349 fiber optics and smart structures, 367-377 criteria and selection of fiber-optic strain sensors, 372-373 integration of fiber-optic sensors into concrete structures, 373-377 types of, 368-372 full-field strain measurements and crack detection methods, 351-353 brittle coatings, 352 other crack detection methods, 353 photoelastic coatings, 352-353 quantities to be measured, 320-321 strain measurements, 322-351 electrical strain gages, 323-332 mechanical strain gages, 322-323 resistance strain gage circuitry and applications, 332-348 stress and force measurement, 353-361 embedded stress meters and plugs, 357-360 load cells, 354-356 other measuring devices, 360-361 temperature measurements, 361-362 Interference effects, 5 Internal blast effects, 75 Ironbark, 106 Iron -carbon system, of steels, 210 castings, malleable, 417 J Jacobian, definition of, 762 Jet aircraft, testing, 325 Joint(s) crack patterns observed in, 495 failure of butt, 555 gap, dry, 563 mortar, 200 openings, 489 replacement, 23 shear values, of model and prototype tests, 195 stiffness, 624 L Laboratory deformation technique, 240 demonstration models, 685 instrumentation, basic, 712 Lacquer, 352, 423 Laminar flow, 78 Large panel (LP) buildings, 486, 622 construction, 284 Laser beam from He-Ne, 372 system, copper vapor, 601 Lathe turning, 283 Lead wire resistance, temperature effect on, 337 LEFM, see Linear elastic fracture mechanics Lifting equipment, 501 Light weight, 170 Lignum-vitae, 106 Lindberg open-tube furnace, 251 Linear elastic fracture mechanics (LEFM), 419 Linear potentiometers, 6 Linear variable differential transformers (LVDT), 6, 202, 349, 595 Lions’ Gate Bridge, 611, 615, 616 Liquid density, 78 Live oak, 106 Load(s), see also Loading application scheme, 737 balancing of, 393 cells, 329, 356, 663 measurement of loads using, 456 types of, 354 deflections, dead and live, 738 discrete vs. distributed, 389 discretization, effect of on stress distribution in parabolic arch, 391 indicator washer, 361 modeling, 74 rate, 87 reaction systems, 384 similitude requirements, 63 spacing, effects of, 400 tests front truss lateral, 536 live, 28 types of, 384 Loading beams, 491 cases, 548 comparison of stress-strain curves for, 593 conditions, critical, 574 devices, 385, 404 equipment, 11 tofailure, 550 history, 505 impact, 641 mistake in, 440 pattern, maximum moment, 549 platens, 422 rate, 100, 148 sea-wave, 646 sequence, lateral, 503 Loading systems, laboratory techniques and, 383-409 discrete vs. distributed loads, 389-390 loading for shell models, 390-400 discrete load systems, 395-400 effects of load spacings, 4G0 vacuum and pressure loadings, 392-394 loading techniques for buckling studies and for structure subject to sway, 400-404 shell instability, 401-402780 s structures undergoing sway, 403-404 j miscellaneous loading devices, 404-407 | thermalloads,406 | self-weighteffects,406-407 | typesofloadsandloadsystems,384-389 loading devices, 384-386 । load reaction systems, 384 j pressure and vacuum loading systems, j 386-389 1 Load and Resistance Factor Design (LRFD), 215 I Locust, 106 I। Long-leaf pine, 106 3 Long-span bridges, 14 Longitudinal Ge system, 492 | LP,seeLarge-panel LRFD, see Load and Resistance Factor Design Lucite, 289 Lumber, modeling of structural, 114 j Lumped-mass systems, vibrations of, 718 j Lunar module, 607 I LVDT, see Linear variable differential transformers 1 M Machine direction (MD), 119 parts, 324 Machining operations, 281 Mach-Zehnder interferometer (MZI), 368, 372 Mahogany, 106 Manila envelope paper models, 299 | Maple, 106 I Masonry ; anisotropic characteristicsof, 201 j assemblies, strength characterizations of, 175 > blocks, mechanical properties of model concrete, 180 buildings, 478, 482 cement-aggregate ratio, 182 failures, 196 grouted drystacked interlocking, 559 infilled, 693 model(s) dynamic tests on unreinforced, 636 grouting of, 310 small-scale, 311 unreinforced, 638 mortars aggregate gradation curves for, 189 size effects in, 434 reduced-scale, 486 reinforced concrete, 539 scale factors for, 68 shear walls, 475 • specimens, grouted conventional, 558 -stiffened model, 693 structure(s) fabrication technique for model, 313 hypothetical full-scale, 639 modeling of, 67, 170 AND EXPERIMENTAL TECHNIQUES system(s) drystack, 556 interlocking, 28 modified H-block, 29 test structures, static and dynamic response for, 488 units dry stack interlocking block, 12 model, 171 unreinforced, 628 wall grouted model, 205 panel, 479 Mass density, 17, 72 simulation, artificial, 625 Material ductility, 256 properties, 460 requirements, 17 Materials systems and models, size effects, accuracy, and reliability in, 411-463 accuracy in concrete models, 450-457 accuracy in interpretation of test results, 456-457 accuracy in testing and measurements, 455—456 dimensional and fabrication accuracy, 451-454 material properties, 454-455 definition of size effect, 414 errors in structural model studies, 437-439 factors influencing size effects, 414-415 influence of cost and time on accuracy of models, 458 overall reliability of model results, 457-458 propagation of random errors, 444-450 size effects and design codes, 435-437 size effects in metals and reinforcements, 433-434 size effects in.masonry mortars, 434-435 size effects in plain concrete, 420-431 evaluation of experimental research, 423-426 evaluation of experimental work on tensile strength, 429 experimental factors influencing size effects, 420-423 experimental research on size effects, 423 size effects in gypsum mortar, 430-431 size effects in long-term properties of concrete, 429-430 tensile and flexural strength, 426-428 size effects in reinforced and prestressed concrete, 431—433 bond characteristics, 431-432 cracking similitude, 432 ultimate strength, 432—433 statistics of measurements, 441-444 theoretical studies of size effects, 415-420 classical theory of bundled strength, 415-416 evaluation of theoretical studies, 420 fracture mechanics approach,418-420 STRUCTURAL MODELING INDEX 781 other theoretical studies, 418 weakest link theory, 416-417 types of errors, 439-441 blunders, 439-440 random errors, 440 systematic errors, 440-441 Maxwell-Betti reciprocal theorem, 121, 122 MD, see Machine direction MDOF,see Multi-degree-of-freedom Measurements accuracy in, 455 statistics of, 441 Measuring devices, 360 system, establishment of, 758 Mechanical fastening, 283 Metal(s) cutting of, 281 size effects in, 433 Methyl methacryenlates, 90 Microconcrete, 161 cement-based, 573 mix(es) details, 160 study to improve, 161 model, 16 during construction, 536 effects of shrinkage or creep in, 454 elevation view of, 535 rate of moisture loss in, 142 shells made of, 515 tensile strength of, 167 Microducer, 360, 361 Microstrain, 460 Microwave antenna construction of prototype, 297 model, 746 structure, 742 Milling, 217, 282 Missile firing of by means of air pressure, 641 surfaces, testing, 325 Missouri corkwood, 106 Model(s), see also specific types architectural engineering, 692 bar deformations, 247 beam section, 252 block.masonry assemblages, strength of, 188 bridges, 33 for classroom demonstration, 681 column(s), 228 cross-section of model, 216 test setup for, 701 concrete(s), 130, 132, 134 casting, 314 dynamic tests on, 591 gypsum products used in, 165 mixes, 159, 160 -reinforcement interface, 265 static properties of, 590 confidence, 413, 437 cylinders, strength-age curves of, 144 deformation profiles, 512 dimensions, 244, 544 elements, tolerances of, 226 engineer, 320, 412 failures, comparison of,516 U girder, 228 grout, 185, 186 influence of cost and time on accuracy of, 458 installations, view of,619 laboratories, 13 length, 78 load applied to three-dimensional, 494 masonry specimens, 199 material(s), 469 distorted, 62 scale, 153 strength of, 424, 426 mortar(s), 181 aggregate used for, 182 sand, 192 strength-volume relations for, 435 prestressing reinforcement, 252 reinforcement, 210, 243, 618 commercially deformed wire as, 234 deformed, 245 geometric properties of, 249 heat treatment of,50 selection, 251 steps needed for producing, 231 reliability of, 401 response of, 11 results comparison of, 609 reliability of, 457 scaled, 412 shear test specimen, 197 wall, 479 slab(s) test matrix of, 521 thickness measurements, 452 specimen, basic dimensions of, 471 spline-type, 683 steel frameworks, 221 strain, measurement of, 448 studies errors in structural, 437 reliability in, 459 tabletop, 513 test(s), 7, 321,509 application of under dynamic loading, 642 Drexel University dynamic system, 716 possible results of, 449 specimens, 468 two-mold drape forming of, 294 ultimate-strength, 459, 694 wall(s) load-deflection characteristics of, 477 tests, 475 wire, customer-ordered, 233 Model applications, case studies and, 465-583 case studies, 529-572782 STRUCTURAL MODELING AND EXPERIMENTALTECHNIQUES extemally/internally prestressed concrete composite bridge system, 568-572 interlocking mortarless block masonry, 556-560 pile caps, 560-568 prestressed wooden bridges, 542-556 reinforced concrete bridge decks, 537-542 TWA hangar structures, 529-537 modeling applications, 466-528 bridge structures, 497-507 building structures, 466-497 special structures, 507-529 Model fabrication techniques, 279-317 basic cutting, shaping, and machining operations, 281-283 cutting of metal, plastic, wood, and paper products, 281 drilling and milling, 282-283 lathe turning and boring, 283 shaping and machining operations, 281-282 construction of plastic models, 288-293 capillary welding, 292 casting of plastic models, 296 drape or gravity forming and drape molding of shell models, 293-294 fabrication considerations, 288-292 fabrication errors in thermal forming, 295 spin forming of metal shells, 296 thermal forming processes, 292-293 vacuum forming, 294-295 construction of structural steel models, 287-288 silver soldering, 287 tungsten inert gas welding, 288 construction of wood and paper models, 296-299 balsa wood models, 296-298 cartridge or manila envelope paper models, 299 glue laminated beams, 298-299 structural wood models, 298 fabrication of concrete masonry models, 309-312 building model masonry components and assemblies, 309-311 Drexel University/NCMA block-making machine, 309 new Drexel model block-making machine, 309 fabrication of concrete models, 299-308 forms for casting reinforced concrete models, 302 prestressed concrete models, 302-308 reinforced concrete models, 299-302 fastening and gluing techniques, 283-287 epoxy resins, 286-287 glues and adhesives, 286 mechanical fastening, 283-284 soldering, 284-285 spot welding, 285-286 Modulus of elasticity, 50, 341, 438, 517 effect of aggregate on, 141 ratio of dynamic to static, 592 Modulus of rupture tests, 169, 431 Moisture gages, electrical resistance, 363 loss effects, 139 rate of in microconcrete, 142 measurements, 362 Mold box, 311 Moment -curvature relationships, theoretical, 523 deformeter, 6 loading, 552 rotation, 713 Mortar(s) beam dimensions, details of, 452 -block interfaces, 198 cylinders, model, 184 gypsum, 165 joint, 200 mix, model, 185 model, 181,509,515 proportions, 188 sands, 166, 192 strength-volume relations for model, 435 tensile strength of, 130 Mortarless blocks, 175, 556 Muller-Breslau principle, 121, 688, 690 Multi-degree-of-ffeedom (MDOF), 721, 723 Multispan girder, 46 Multistory buildings, elastic models of, 86 MZ1, see Mach-Zehnder interferometer N National Center for Earthquake Engineering Research, (NCEER), 21, 663 National Concrete Masonry Association (NCMA), 173 Natural vibration modes, 604 NCEER, see National Center for Earthquake Engineering Research NCMA, see National Concrete Masonry Association Nickel-iron alloy, 328 Normal probability density function, 441 Normal weight, 170 Nuclear containment vessels, testing, 325 Nuclear reactor vessel, 8 Numerics, 761 Nusselt’s number, 69 o Offshore structures, 8 Ontario Highway Bridge Design Code, 20, 27 Oscillators, electromagnetic, 594 Oscilloscope, 597, 718 INDEX 783 P Panel zone shear strength, 473 Paper models examples of, 120 manila envelope, 299 products, 104 cutting of, 281 used for structural models, 119 Partial differentiation, chain rule of, 758 Particle friction, 78 PCA, see Portland Cement Association PCRV, see Prestressed concrete reactor vessel PCs, 367 Pea gravel, 10 Pedestrian walkway, elevated, 741 Perfect universal strain gage, 322 Permeability, 78 Photoelastic coatings, 352, 353 Photomechanical models, 5 Physical modeling, introduction to in structural engineering, 1-39 accuracy of structural models, 12-13 advantages and limitations of model analysis, 11-12 choice of geometric scale, 9-10 definitions and classifications of structural models, 2-5 models classifications, 3-5 physical models in other engineering disciplines, 5 historical perspective on modeling, 6 modeling case studies, 13-34 extemally/internally prestressed concrete composite bridge system, 31-34 interlocking mortarless block masonry, 27-30 lightly reinforced concrete buildings, 21-24 pile foundations, 30-31 prestressed wooden bridges, 24-27 R/C frame-wall structures, 15-20 reinforced concrete bridge decks, 20-21 TWA hangar structures, 14-15 modeling process, 10-11 model laboratories, 13 physical modeling and new engineering curriculum, 8-9 structural models and codes of practice, 7-8 Pi terms, formation of, 50 Pi theorem, 80 Pier behavior, 641 Piezoelectric principle, 327 Pile cap, 560, 561 model, 33 truss analogy for, 567 foundations, 30 Plane angles, measurement of, 768 Plasma arc process, 246 Plaster of Paris, tensile strength of, 417 Plaster ratio, aggregate-gypsum, 169 Plastic(s) acrylic, 291 cutting of, 281 flexural characteristics of, 89 influences of strain rateon mechanical properties of, 100 models casting of, 296 problems related to, 103 tests on, 91 thermal conductivity of, 102, 294 thermosetting, 98 time-dependent behavior of, 97 time effects in,96 Plate middle surface, out-of-plane displacement of, 54 ultimate strength of, 512 Plexiglas, 289,451,454 beam, 689 forms, for casting reinforced concrete models, 303 model(s), 81, 673 measuring strains on, 380 tests on, 102 mold, 699 stress-strain curve for, 93 Plywood forms, 302 Poisson’s ratio, 50, 341, 438 considerations, 104 determination of, 97 discrepancy, 62 mechanical properties of, 94 Polyester resins, 90 Polyethylenes, 90 Polymerization, 101 Polymethyl methacrylate, 293 Polyurethane, 423 Polyvinylchloride (PVC), 88, 90, 293, 454 insulated leads, 362 plastic model, 58 stress-strain curve for, 93 Portal frame, 269 Portlandcement, 131, 186,417 Portland Cement Association (PCA), 489, 497 Postbuckling response, 472 Postcracking deflections, 261 Potentiometers, 365 Power amplifier, 716 spectral density, frequency vs., 645 Preseismic tests, 621 Pressure loading, 388, 391, 392 Pressurized gas, use of directly against model, 386 Prestressed concrete reactor vessel (PCRV), 507 physical models of forboiling water reactors, 510 scale models, 508 Prestressing frame, 308 system, 305 Pretensioning technique, 302 Prism(s) compression tests, 194784 )if STRUCTURAL MODELING AND EXPERIMENTAL TECHNIQUES configuration of fabricated, 560 mode of failure for model, 195 prototype, 189 test(s) parameters derived from grouted, 561 specimens, 191 Product development, 466, 522 dimensionless, 760 Prototype bar, stress-strain curves of, 245 beam, 321, 689 load-deflection curves for, 268 section, 252 behavior, similarity between model and, 196 bending, 60 block masonry, 198 building, beam-column joint details of, 24 column, 228 concrete, 63, 133, 203 hypothetical, 158 test results, 592 data, correlating model data with, 434 design of, 507 dimensions, 244, 544, 706 floor slabs, 227 full-intensity earthquake, 626 girder, 228 gusset plates, 117 joint openings, 493 loads, representing, 384 masonry concrete blocks, 183 units, 170 materials, 503 mode surveys, 610 multiple, 12 piers, 500 plate, 55 prisms, 189 properties of, 155 reinforcement, 455 geometric properties of, 249 models, 248 slabs, 270 space truss members, 112 steel frame structure, 631 strains, 271, 274 stresses, systematic error in predicted, 460 structure(s) geometry of, 118 modeling studies on, 2 systems, modeling of creep in, 103 test(s) cylinder size, 423 data, 495 joint shear values of, 195 results, 200 truss, 110 wall strength properties, 480 Pseudodynamic tests, 658 Pullout tests 1 average bond stress vs. L/D ratio from, 264 I concentric, 263 Punching shear failure, 21, 539, 564 PVC, see Polyvinylchloride i q ' i II Quarter bridge, 338 | R Radiation scaling, 69 Random errors, 444, 448 Random strength, 420 Reactor system, gas-cooled, 510 Recording equipment, 10 Recrystallization, 250 Rectangular rosette, 340, 380 Red oak, 106 References axes, 342 Reinforcement(s) bars, commercially available, 239 bending of, 299 -concrete interface, 130 increasing horizontal, 476 layout, 485 placement, accuracy of, 300 ratio, ultimate shear strength, 566 size effects in, 433 welding of, 300 Repeatability checks, 457 Replica model, 3 Residual stresses, 215 Resonant testing, 593 Rigid models, 4 Ring loading device, 393 Rockets, testing, 325 Rocking curves, 629 response, base acceleration vs., 630 Rod gages, functioning as mechanical gages, 547 Roof displacements, base shear vs. roof, 474 drift, 661 structure(s) deflection analysis of, 314 shell-and-dome, 121 system, structure of tension, 674 truss, Single-Fink, 730 Rosette(s) assembly, 358 configuration, 347 delta, 340, 344, 378 homemade, 348 Murphy’s method for plotting strain, 348 rectangular, 340, 380 INDEX 785 I strain, 345 three-element, 339 types of, 343 Rotation-measuring devices, 617 Rubber, synthetic, 90 s Sand -gravel ratio, 163 tank, 647 Sanding sealer, 115 Scaffolding, 534 Scale factors, 9, 57, 579 model testing, 605 Screeding strips, 536 SDOF, see Single-degree-of freedom Sealing compounds, commercial, 168 procedures, 168 Sea-wave loading, 646 Seismic isolation, 723 Seismic test(s), 664 mode of vibration dominated in, 666 results, three-story, 665 Self-temperature-compensated (STC) gages, 335 Self-weight effects, 406 Semicontinuous recording systems, 364 Sequential phased displacement (SPD), 475 Settlement curves, 648 Shaking machine, 647 Shaking table, 223, 225, 600 classification of, 602 Cornell University, 663 - Drexel Models Laboratory, 752 Drexel University, 735 NCEER, 22, 24 performance limits of, 719 small linear, 719 Stanford University, 631 studies, European, 628 SUNY/Buffalo Earthquake Simulation Laboratory, 669 testing maximum response from, 670 sequence, 669 U.C. Berkeley, 18 University of Illinois, Urbana-Champaign, 639 Shaking test comparison of damage states after, 672 severe, 671 Shape models, 4 Shear buildings, dynamics of, 722 center, 683 loading, 551, 552 strength, 202 test specimen, model, 197 Shell(s) geometry, 518, 520 instability, 401 model(s), 396 dimensions of, 513 drape molding of, 293 suspended dead loads on, 395 roof model, 402 stiffness, 513 structures, 512 test apparatus, 394 vacuum forming of doubly curved, 295 Shock tube(s), 598 pressure distribution in, 600 scale mode] placed in, 599 Shrinkage, 321, 429 characteristics, 362 deformations, 222 effects of in microconcrete model, 454 SI units, use of in structural engineering, 767-770 densities, gravity loads, weights, 768 force, moment, and other stress resultants, 768 geometry, 768 miscellaneous, 768 SI system standard practice, 769-770 Sieve analysis, 155 Silver soldering, 225, 287 Similarity, first-order, 60 Similitude criteria, 498 requirements, 10, 42, 43, 62 distortion, 65 for elastic vibrations, 72 load, 63 for static elastic modeling, 86 self-weight, 663 Single-degree-of freedom (SDOF), 720 Single-Fink root truss, 730 Site welding, 498 Size dependence, 435 effect(s) experimental research on, 423 factors influencing, 414 theoretical studies of, 415 Slab(s) action, two-way, 539 cracking, 517, 672 failure mode of, 527 multiple wires in, 307 pressure systems for dynamic loading of, 389 punching shear investigations of, 433 -punching strength, 575 shear connection between beam and, 577 strip method of designing, 521 text matrix of model, 521 underreinforced, 432 Small-scale model(s), 321, 454 acceleration and displacement response of, 622 fabrication techniques for, 312 power of, 751
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