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Pages 210-255

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From page 210...
... H-1 Appendix H: Examination of Simplified Proposal Using Design Database H.1 Presentation of Design Database The proposal for simplified LRFD provisions is examined further in this Appendix using a Design Database intended to encompass the general loading and continuity conditions (e.g., distributed loads) , section characteristics and design shear levels likely to be encountered in practice.
From page 211...
... H-2 method. The following assumptions were made for consistency: (1)
From page 212...
... H-3 proposed simplified method Vci governs the shear strength of the member at the section considered and the angle of compression strut is 45 degrees. A transition region is a location that does not belong to either a web-shear region or a flexure-shear region.
From page 213...
... H-4 Vc term. For the prestressed members, I-Beams and Bulb T-Beams, in the Design Database, the LRFD and the CSA methods are slightly more conservative than the Standard method.
From page 214...
... H-5 service loads in a short member where only a small number of bottom strands are required for flexural strength. The resultant shortened shear depth reduces Vc proportionally.
From page 215...
... H-6 document should be careful before making any judgments based on this Design Database study. The Design Database does not reflect the actual probability distributions of bridges that are currently being built or that already exist even though considerable effort was spent in trying to achieve a database representative of a comprehensive range of practical design cases.
From page 216...
... H-7 Figure H-1 Sectional Shapes and Strand Profile Section (unit: in.) Profile PC RC
From page 217...
... H-8 Table H-1 Resistance Factors or Material Factors Proposal AASHTO Standard AASHTO LRFD CSA 0.90 RC: 0.85 PC: 0.90 0.90 Concrete - 0.65 Steel - 0.85 Prestress - 0.90 Table H-2 Minimum Shear Reinforcement, Av,min (unit: in.2) Proposal AASHTO Standard AASHTO LRFD CSA y w c f sbf ' y w f sb 50 y w c f sbf ' y w c f sbf ' *
From page 218...
... H-9 Table H-3 Relative Ratios of Amount of Required Shear Reinforcement to R2K Amount Total Web-Shear Transition Flexure-Shear Member Approach*
From page 219...
... H-10 Table H-4 Summary of Results – Simply-Supported I Beam aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 220...
... H-11 Table H-4 Summary of Results – Simply-Supported I Beam (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 221...
... H-12 Table H-4 Summary of Results – Simply-Supported I Beam (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 222...
... H-13 Table H-4 Summary of Results – Simply-Supported I Beam (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 223...
... H-14 Table H-4 Summary of Results – Simply-Supported I Beam (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 224...
... H-15 Table H-5 Summary of Results – Simply-Supported Bulb-T aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 225...
... H-16 Table H-5 Summary of Results – Simply-Supported Bulb-T (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 226...
... H-17 Table H-5 Summary of Results – Simply-Supported Bulb-T (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 227...
... H-18 Table H-5 Summary of Results – Simply-Supported Bulb-T (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 228...
... H-19 Table H-5 Summary of Results – Simply-Supported Bulb-T (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 229...
... H-20 Table H-5 Summary of Results – Simply-Supported Bulb-T (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 230...
... H-21 Table H-5 Summary of Results – Simply-Supported Bulb-T (continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ Vcr yv fρbeam no.
From page 231...
... H-22 Table H-6 Summary of Results – Continuous Box Girder aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ yv fρbeam no.
From page 232...
... H-23 Table H-6 Summary of Results – Continuous Box Girder (Continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ yv fρbeam no.
From page 233...
... H-24 Table H-6 Summary of Results – Continuous Box Girder (Continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mcr Mu Vci Vcw yv fρ Vc yv fρ θ Vc yv fρ θ Vc yv fρ θ yv fρbeam no.
From page 234...
... H-25 Table H-7 Summary of Results – Simply-Supported RC Rectangular Beam aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no.
From page 235...
... H-26 Table H-7 Summary of Results – Simply-Supported RC Rectangular Beam (Continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no.
From page 236...
... H-27 Table H-8 Summary of Results – Simply-Supported RC T-shape Beam aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no.
From page 237...
... H-28 Table H-8 Summary of Results – Simply-Supported RC T-shape Beam (Continued) aashto standard aashto lrfd proposal csa r2k location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no.
From page 238...
... H-29 Table H-9 Summary of Results – Continuous RC Rectangular Beam aashto standard aashto lrfd proposal csa r2k As location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no. in.2 ft in kips ksi k ft kips psi kips psi deg kips psi kips psi deg psi 1 2.9 2.7 28.8 70 0.203 249 60 50 60 77 36 51 79 45 77 36 104 2.9 3.6 28.8 54 0.157 307 60 50 60 77 36 51 77 44 77 37 77 2.9 7.2 28.8 8 0.022 391 60 50 60 77 36 51 77 46 77 36 77 2.9 10.8 28.8 70 0.202 251 60 50 60 77 36 51 77 45 77 36 104 2.9 14.4 28.8 132 0.381 112 60 226 60 185 36 51 277 50 184 35 233 5.3 15.3 28.8 148 0.428 242 60 273 60 223 36 51 328 47 234 36 333 2 2.9 2.7 28.8 47 0.135 140 60 50 64 77 34 51 77 60 77 33 77 2.9 7.2 28.8 27 0.078 307 60 50 60 77 36 51 77 49 77 35 77 2.9 14.4 28.8 4 0.011 391 60 50 60 77 36 51 77 47 77 36 77 2.9 21.6 28.8 35 0.101 251 60 50 60 77 36 51 77 52 77 35 77 2.9 28.8 28.8 66 0.191 112 60 50 69 77 31 51 77 70 77 32 77 5.3 33.3 28.8 85 0.247 454 60 92 60 77 36 51 128 49 83 35 96 3 2.9 2.7 28.8 34 0.097 97 60 50 69 77 31 51 77 70 77 32 77 2.9 10.8 28.8 18 0.052 307 60 50 60 77 36 51 77 50 77 35 77 2.9 21.6 28.8 3 0.007 391 60 50 60 77 36 51 77 47 77 36 77 2.9 32.4 28.8 23 0.067 251 60 50 64 77 34 51 77 54 77 34 77 2.9 43.2 28.8 44 0.127 112 60 50 69 77 31 51 77 80 77 31 77 5.3 51.3 28.8 59 0.172 532 60 50 60 77 36 51 77 48 77 35 77 4 4.2 2.7 28.8 101 0.293 358 60 138 60 112 36 51 178 46 131 36 158 4.2 3.6 28.8 78 0.226 441 60 71 60 77 36 51 104 44 80 37 138 4.2 7.2 28.8 11 0.032 562 60 50 60 77 36 51 77 46 77 36 77 4.2 10.8 28.8 100 0.29 361 60 135 60 110 36 51 176 45 129 36 158 4.2 14.4 28.8 189 0.548 161 60 393 61 297 34 51 462 51 309 35 333 7.9 15.3 28.8 213 0.615 348 60 460 57 391 37 51 537 48 377 36 396
From page 239...
... H-30 Table H-9 Summary of Results – Continuous RC Rectangular Beam (Continued) aashto standard aashto lrfd proposal csa r2k As location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no.
From page 240...
... H-31 Table H-9 Summary of Results – Continuous RC Rectangular Beam (Continued) aashto standard aashto lrfd proposal csa r2k As location dv Vu vu Mu Vc yv fρ Vc yv fρ θ Vc yv fρ Vc yv fρ θ yv fρbeam no.
From page 241...
... H-32 Figure H-2 Comparisons of Required Shear Reinforcement (Simply-Supported I Beam) Beam Number 1 2 3 4 5 6 7 8 9
From page 242...
... H-33 Figure H-2 Comparisons of Required Shear Reinforcement (Simply-Supported I Beam) -continued Beam Number 10 11 12 13 14 15 16 17 18
From page 243...
... H-34 Figure H-2 Comparisons of Required Shear Reinforcement (Simply-Supported I Beam) -continued Beam Number 19 20 21 22
From page 244...
... H-35 Figure H-3 Comparisons of Required Shear Reinforcement (Simply-Supported Bulb-T) Beam Number 1 2 3 4 5 6 7 8 9
From page 245...
... H-36 Figure H-3 Comparisons of Required Shear Reinforcement (Simply-Supported Bulb-T) -continued Beam Number 10 11 12 13 14 15 16 17 18
From page 246...
... H-37 Figure H-3 Comparisons of Required Shear Reinforcement (Simply-Supported Bulb-T) -continued Beam Number 19 20 21 22 23 24 25 26 27
From page 247...
... H-38 Figure H-3 Comparisons of Required Shear Reinforcement (Simply-Supported Bulb-T) –continued Beam Number 28 29 30 31 32 33 34 35
From page 248...
... H-39 Figure H-4 Comparisons of Required Shear Reinforcement (Continuous Box Beam) Beam Number 1 2 3 4 5 6 7 8 9
From page 249...
... H-40 Figure H-5 Comparisons of Required Shear Reinforcement (Simply-Supported RC Rectangular Beam) Beam Number 1 2 3 4 5 6 7 8 9
From page 250...
... H-41 Figure H-6 Comparisons of Required Shear Reinforcement (Simply-Supported RC T-shape Beam) Beam Number 1 2 3 4 5 6 7 8 9
From page 251...
... H-42 Figure H-7 Comparisons of Required Shear Reinforcement Amounts (Continuous RC Rectangular Beam) Beam Number 1 2 3 4 5 6 7 8 9
From page 252...
... H-43 Figure H-8 I-Beams
From page 253...
... H-44 Figure H-9 Bulb-T Girders
From page 254...
... H-45 Figure H-10 Box Girders
From page 255...
... H-46 Figure H-11 RC Beams

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