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CHAPTER 4                         AN ANALYTICAL APPROACH TO FRACTURE AND FAILURE            163



        Table 4.4  Comparative study of single span HS-20 moments and shear forces.AASHTO and simplifi ed
        formula developed by the author.
                   HS-20 LL Moments                    HS-20 LL Shear
        Span       AASHTO        Mmax =                AASHTO            Vmax =
        Length     LL Moment     18(L-1.55) (L-14)/L   Reaction/Shear    24(3L-28)/L
        (Feet)     (Kip-Ft)      (Kip-Ft)              Force (Kips)      (Kips)
        1. Small spans
        20         160           281 distance between outer   41.6 > 36 k vehicle,
                                 axles > 201 formula N/A   not correct
        30         282.1          273.12               49.6              49.60
        40         449.8          449.87               55.2              55.20
        2. Medium spans
        50         627.9           627.91               58.5             58.56
        60         806.5           806.61               60.8             60.80
        70         985.6           985.68               62.4             62.40
        80         1164.9          1164.98              63.6             63.60
        90         1344.4          1344.44              64.5             64.53
        100        1524.0          1524.01              65.3             65.28
        110        1703.6          1703.65              65.9             65.89
        120        1883.3          1883.36              66.4             66.40
        3. Long spans
        130        2063.1          2063.10              67.6             66.83
        140        2242.8          2242.89              70.8             67.20
        150                       2422.704                               67.52
        160                        2602.54                               67.8
        170                        2782.40                               68.06
        180        Lane load with   2962.27             Lane load with   68.27
                   18 kips                              26 kips
        190                        3142.16                               68.46
                   concentrated                         concentrated load
        200        load for bending   3322.05           for shear governs  68.64
        210        governs         3501.96                               68.8
        220                        3681.88                               68.95
        230                        3861.80                               69.08
        240                        4041.73                               69.2


        4.12  SELECTION OF STEEL GIRDERS
        4.12.1  Selection Based on Shapes
            In practice, the following three types of steel girders are used:
        1. Rolled sections.
              AISC Manual of Steel Construction lists a wide range of grades 36, 50, and 50W (weather-
            ing steel) sections. Sections for grade 70W are not currently available. Since available depth
            of steel form is restricted to 42 inches, the application has been to smaller bridge spans only.
            LRFD increased live load, and deflection requirements are the constraints. Older bridges

            have used 36-inch depth rolled sections whenever possible.
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