superficie FB 006 RID.pdf

superficie FB 006 RID.pdf
Optimization of Prestressed Concrete Surface Structures Prof. Ing. Franco Bontempi Docente di TEORIA E PROGETTO DI PONTI – GESTIONE DI PONTI E GRANDI STRUTTURE Facoltà di Ingegneria Civile e Industriale Università degli Studi di Roma La Sapienza franco.bontempi@uniroma1.it 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 2 3 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 4 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 5 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 6 OBVIOUSNESS O 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 7 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 8 Steel 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 9 No geometry 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 10 Curves
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 11 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 12 Hospitable 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 13 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 14 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 15 Complementary 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 16 Nature 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 17 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 18 Growth 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 19 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 20 Archetypes
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 21 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 22 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 23 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 24 Empathy 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 25 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 26 Hospitable 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 27 Streams 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 28 Spatiality 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 29 Intersections 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 30 Trails
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 31 San Berillo (CT) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 32 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 33 https://www.ecodibergamo.it/stories/Economia/chorus-life-al-via-sei-maxi-arcatemade-in-bergamo-per-la- citta-del-futuro_1406923_11/ Chorus Life (BG) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 34 SURFACES S 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 35 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 36 Ruled surfaces 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 37 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 38 NB 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 39 Cylindrical Surfaces 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 40
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 41 http://hiddenarchitecture.net/fronton-recoletos/ Torroja 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 42 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 43 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 44 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 45 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 46 Es. 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 47 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 48 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 49 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 50
LESSON #1 – SYDNEY OPERA HOUSE #1 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 51 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 52 Utzon 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 53 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 54 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 55 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 56 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 57 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 58 Construction 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 59 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 60
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 61 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 62 Engineering 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 63 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 64 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 65 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 66 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 67 Gaudi’ 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 68 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 69 https://www.vam.ac.uk/articles/computers-and-the-sydney-opera-house 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 70 Problems
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 71 Precasting i 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 72 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 73 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 74 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 75 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 76 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 77 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 78 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 79 https://unsplash.com/it/s/foto/sydney-opera-house 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 80 https://unsplash.com/it/s/foto/sydney-opera-house
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 81 https://unsplash.com/it/s/foto/sydney-opera-house 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 82 https://unsplash.com/it/s/foto/sydney-opera-house LESSON #2 – CHIRCH OF PADRE PÍO, SAN GIOVANNI ROTONDO #2 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 83 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 84 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 85 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 86 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 87 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 88 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 89 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 90
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 91 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 92 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 93 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 94 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 95 Engineering 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 96 Prestressing ii 29-Jan-23 97 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 98 Idea 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 99 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 100
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 101 Behavior 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 102 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 103 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 104 Extension 29-Jan-23 105 Layered Model Optimization of Prestressed Concrete Surface Structures Beam Element Formulation 106 29-Jan-23 Optimization of Prestressed Concrete Surface Structures Overlapping Elements 107 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 108 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 109 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 110 Multi-strand Cable
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 111 Multi-strand Cables 15.7 mm / 150 mmq 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 112 Loads 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 113 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 114 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 115 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 116 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 117 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 118 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 119 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 120 Testata viva Testata morta accoppiamento Devices
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 121 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 122 Confinement and bursting (additional) reinforcement B-/D- Regions (1) A B C D E F G H 1 2 3 4 5 6 7 8 123 29-Jan-23 Optimization of Prestressed Concrete Surface Structures B-/D- Regions (2) A B C D E F G H 124 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 125 D-regions 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 126 Application of the load path method 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 127 Centred concentrated load 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 128 Eccentric concentrated load 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 129 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 130 Bandage iii
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 131 Poetic 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 132 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 133 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 134 Prosaic 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 135 Real 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 136 BASIC PRINCIPLES OF STRUCTURAL DESIGN P 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 137 Values • The ideals that guide our choices. • Values are principles that individuals or a community consider superior or preferable. They are used as a criterion for judging or evaluating behaviors and actions. • Values are connected in various ways with the social and political reality, with the economic and legal organization, with the traditions, customs and symbols of a community, and therefore change in the various cultures and historical periods 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 138 Principles • A principle is a concept that indicates the bases and initial assumptions on which a theory is based or rests and which assume, by convention or recognized law, general and universal validity within the theory itself. • From it therefore derive by deduction or logical consequence, or in a manner consistent with the principle itself, a whole series of secondary laws that characterize the theory in question, or vice versa all the laws of the theory must respect the cardinal principle of the same in order to be included in the indoor. • In the experimental sciences in general a principle cannot be demonstrated in an absolute sense, but it is assumed to be true by virtue of the multiplicity of observations that verify it and the predictions that it, and the laws derived from it, allow to make, while at the same time failing, i.e. losing its characteristic of universality, in the presence of even a single experimental evidence that denies it, as is typical of science and its experimental method. 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 139 1 - Simplicity • The most general design criterion concerns simplicity: for Structural Engineering, this is a fundamental value, because it lays the foundations for certainty and predictable behavior. • This value therefore becomes a global discipline in order not to introduce further complexities in an already highly uncertain environment. • It also applies to directing the tensional flow in the most direct and gentlest way. 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 140
2 - Geometric Regularity (and Symmetry) • The geometric regularity concerns the plan and elevation arrangement of the structure; the adoption of a clear geometric configuration is recommended, with limited eccentricities and without abrupt variations of masses or stiffnesses, with possible symmetries and repetitions. • This is a criterion that concerns all structural scales, from the components to the whole structure: from the connections of the members in the truss structures in order to avoid parasitic stresses to the layout of an entire building. 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 141 3 - Mechanical regularity of the stress state • The mechanical regularity concerns what is defined as «smoothness»: an even course, devoid of singularities and concentrations, or tensional traffic jams. • This is a criterion that concerns all structural scales, from the components to the whole structure: zones of singularities in the force state (diffusive zones and boundary layers) should be avoided (or considered with extreme care). 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 142 Stress Flow – Hydraulic Metaphor 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 143 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 144 4 - Spread Loads in Multiple Directions 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 145 Trave su suolo elastico 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 146 Tubi sottili 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 147 5 - Direct transmission of the load to the ground • An attempt should be made to transmit the load in the most direct way from the point of application to the foundations. 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 148 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 149 6 - Distribute Traction (for Robustness) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 150
7 - Concentrate Compression (for Stability) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 151 8 - Centrifuge Areas for Moments (for Inertia) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 152 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 153 Make9 - different structural parts work together 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 154 10 - Gigantism 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 155 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 156 11 - To Stiffen / Corrugate 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 157 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 158 12 - Rediscover / Reapply the good Strategy 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 159 Be aware of saturation: reduction of marginal gain 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 160
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 161 NB. The nature of optimum (1) 162 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 163 Robustness (Soundness) of the formulation 29-Jan-23 Optimization of Prestressed Concrete Surface Structures The nature of optimum (2) A sub-optimal solution to a problem is one that is less than perfect. Slack situation: loose and not pulled tight. 164 29-Jan-23 Optimization of Prestressed Concrete Surface Structures ELEMENTARY MECHANISMS M 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 165 Structure Essential • Micro-level: local size of the sections, i.e. thickness, area, inertia, … (Detailed Geometry) • Meso-level: form of the structural element or structural part (substructure), i.e. main longitudinal axis, curvature, profile, … (Global Geometry) • Macro-level: connections of the different structural parts (Load Path) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 166 Micro-level: local size of the sections, i.e. thickness, area, inertia, … (Detailed Geometry) Meso-level: form of the structural element or structural part (substructure), i.e. main longitudinal axis, curvature, profile, … (Global Geometry) Macro-level: connections of the different structural parts (Load Path) Optimization Levels 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 167 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 168 Load transfer 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 169 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 170
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 171 1 – Form-active Structural Systems Throughout the structure there is only either tension or compression 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 172 2 - Vector-active Structural Systems In the structure there are elements that work uniformly in traction or in compression (tie rods or struts) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 173 3 - Section-active Structural Systems There is both tension and compression in sections of the structure (butterfly stress diagram) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 174 4 - Surface-active Structural Systems The structure distributes and balances the loads with a membrane action (uniform stress distribution on thickness) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 175 5 – Vertical Structural Systems The most important loads are the horizontal ones compared to the vertical ones 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 176 SURFACE ACTIVE STRUCTURES sas 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 177 4 - Surface-active Structural Systems The structure distributes and balances the loads with a membrane action (uniform stress distribution on thickness) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 178 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 179 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 180
4.1 - Plate Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 181 Example of Plate Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 182 4.2 - Folded Plate 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 183 Example of Folded Plate 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 184 4.3 - Shell Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 185 Example of Shell Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 186 Slabs & Plates 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 187 Beams and Deep Beams 1 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 188 Folded Plate Action 2 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 189 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 190
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 191 Diaphragm 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 192 Border Beams 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 193 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 194 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 195 Bearings Mechanism on Circular Shells (1) 3 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 196 Bearings Mechanism on Circular Shells (2) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 197 Diaphragm 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 198 Border Beams 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 199 Long and Short Barrel Shells (1) 4 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 200
Long and Short Barrel Shells (2) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 201 Long and Short Barrel Shells (3) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 202 Long and Short Barrel Shells (4) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 203 5 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 204 Elliptical Paraboloid 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 205 Hyperblic Paraboloid 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 206 Hypar 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 207 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 208 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 209 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 210 San Berillo (CT)
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 211 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 212 https://www.ecodibergamo.it/stories/Economia/chorus-life-al-via-sei-maxi-arcatemade-in-bergamo-per-la- citta-del-futuro_1406923_11/ Chorus Life (BG) 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 213 PROBLEMATIC ASPECTS pa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 214 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 215 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 216 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 217 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 218 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 219 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 220
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 221 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 222 CRITERIA FOR SEGMENTAZION seg 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 223 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 224 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 225 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 226 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 227 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 228 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 229 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 230
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 231 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 232 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 233 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 234 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 235 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 236 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 237 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 238 INTERACTION VERTICAL - HORIZONTAL Vo 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 239 CONTINUOUS c 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 240
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 241 LEGS z 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 242 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 243 1 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 244 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 245 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 246 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 247 2 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 248 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 249 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 250
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 251 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 252 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 253 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 254 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 255 3 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 256 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 257 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 258 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 259 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 260
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 261 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 262 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 263 4 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 264 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 265 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 266 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 267 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 268 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 269 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 270
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 271 5 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 272 PRESTRESSING STRATEGY p 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 273 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 274 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 275 Jan 23 Optimization of Prestressed Concrete 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 276 Jan 23 Optimization of Prestressed Concrete 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 277 Jan 23 Optimization of Prestressed Concrete 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 278 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 279 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 280
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 281 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 282 Azioni concentrate 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 283 Spinte a vuoto 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 284 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 285 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 286 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 287 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 288 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 289 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 290
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 291 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 292 Geometric Compatibility 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 293 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 294 Sequence of prestressing 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 295 Loss of prestressing 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 296 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 297 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 298 EXPANSION JOINTS g 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 299 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 300
29-Jan-23 301 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 302 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 303 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 304 Optimization of Prestressed Concrete Surface Structures 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 305 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 306 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 307 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 308 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 309 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 310
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 311 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 312 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 313 GERBER SADDLES gs 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 314 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 315 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 316 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 317 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 318 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 319 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 320
GLOBAL ANALYSIS ga 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 321 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 322 Global Data 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 323 Construction by Steps 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 324 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 325 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 326 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 327 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 328 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 329 Point Contact 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 330 Structural Safety
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 331 Conventional 30,00 40,00 50,00 60,00 70,00 80,00 90,00 0 6 12 18 24 30 36 42 48 54 60 66 R CK [MPa] Provini Valori Rottura 65 campioni – Rottura bitroncopiramidale Rck media = 67.96 N/mm2 Dev.st pop. = 6.39 N/mm2 Da questo ricavo fck = 56.41 N/mm2 fcm = 64.41 N/mm2 fctm = 4.26 N/mm2 fctm 5% = 2.98 N/mm2 fctm 95% = 5.53 N/mm2 Ecm = 38469.37 N/mm2 Classe di resistenza dichiarata C45/55 Rck dichiarata Rck media 55,00; 0,02 67,97; 0,50 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1 30 40 50 60 70 80 90 100 CDF [N/mm2] CDF NORMAL 0 0,01 0,02 0,03 0,04 0,05 0,06 0,07 50 55 60 65 70 75 80 85 90 95 100 PDF [N/mm2] PDF NORMAL 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 332 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 333 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 334 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 335 B6 B5 on of Pres B6-B5 B6-B5 sx B6-B5 mezzeria B6-B5 dx 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 336 B6-B5 sx 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 337 B6-B5 mezzeria 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 338 B6-B5 dx 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 339 Nominal nonlinear 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 340
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 341 68,2 72,3 63,2 70,5 69,6 66,2 media 68,3 deviazione 2,5 Real nonlinear 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 342 55 Mpa /0,002 = 27500 MPa 30 Mpa /0,0008 = 37500 MPa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 343 55 Mpa /0,002 = 27500 MPa 30 Mpa /0,0008 = 37500 MPa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 344 55 Mpa /0,002 = 27500 MPa 30 Mpa /0,0008 = 37500 MPa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 345 55 Mpa /0,002 = 27500 MPa 30 Mpa /0,0008 = 37500 MPa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 346 55 Mpa /0,002 = 27500 MPa 30 Mpa /0,0008 = 37500 MPa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 347 55 Mpa /0,002 = 27500 MPa 30 Mpa /0,0008 = 37500 MPa 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 348 Numerical Simulation y = 1E+09x3 - 1E+07x2 + 43045x + 0,0538 R² = 0,9999 0,00000 10,00000 20,00000 30,00000 40,00000 50,00000 60,00000 70,00000 0,00000 0,00050 0,00100 0,00150 0,00200 0,00250 0,00300 0,00350 0,00000 0,00000 0,00075 27,00000 0,00150 44,00000 0,00200 53,00000 0,00300 65,00000 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 349 GERBER SADDLES end 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 350
29-Jan-23 Optimization of Prestressed Concrete Surface Structures 351 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 352 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 353 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 354 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 355 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 356 https://www.studioromano.org/team/ Optimization of Prestressed Concrete Surface Structures Prof. Ing. Franco Bontempi Docente di TEORIA E PROGETTO DI PONTI – GESTIONE DI PONTI E GRANDI STRUTTURE Facoltà di Ingegneria Civile e Industriale Università degli Studi di Roma La Sapienza franco.bontempi@uniroma1.it CV • Franco Bontempi - Born 1963. Military service 1989. Degree in Civil Engineering 1988 and PhD in Structural Engineering 1993, Politecnico di Milano. • Since 2000, Full Professor of Structural Analysis and Design (Tecnica delle Costruzioni) at the School of Civil and Industrial Engineering where he teaches Theory and Design of Bridges, Management of Bridges and Large Structures, Structural Fire Design. • Research periods: Harbin Institute of Technology (CHINA), Univ. of Illinois Urbana- Champaign (USA), TU Karlsruhe (D), TU Munich (D). Consultant for the design and analysis of special structures, forensic engineering procedures. • https://sites.google.com/a/uniroma1.it/francobontempi/ • https://fr.linkedin.com/in/francobontempi • https://www.youtube.com/channel/UCW3IyXTBJVIiS6OZeSdIN7g/videos 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 358 https://sitES.google.com/a/uniroma1.it/francobontempi/ 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 359 https://www.youtube.com/channel/UCW3IyXTBJVIiS6OZeSdIN7g 29-Jan-23 Optimization of Prestressed Concrete Surface Structures 360
https://fr.linkedin.com/in/francobontempi Optimization of Prestressed Concrete Surface Structures 29-Jan-23 361 Optimization of Prestressed Concrete Surface Structures Prof. Ing. Franco Bontempi Docente di TEORIA E PROGETTO DI PONTI – GESTIONE DI PONTI E GRANDI STRUTTURE Facoltà di Ingegneria Civile e Industriale Università degli Studi di Roma La Sapienza franco.bontempi@uniroma1.it

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