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CHAPTER 4                         AN ANALYTICAL APPROACH TO FRACTURE AND FAILURE            165





                  Max. Truck Moments                          Max. Truck Shear/Reactions
        Span                             †
                  Author’s Formula*   Tandem    Governing Truck  Author's
        Length    HS-20            Two 25 Kip axles Moments   Formula**   Tandem Two 25   Governing Truck
        (Feet)    (Kip-Ft)         (Kip-Ft)     (Kip-Ft)      HS-20 (Kips)  Kip Axles (Kips)  Shear (Kips)
        80        1164.98           950         1164.98       63.6        48.75           63.6
        85        1254.70          1012.5       1254.70       64.09       48.82           64.09
        90        1344.44          1075         1344.44       64.53       48.89           64.53
              Medium spans
        95        1434.21          1137.5       1434.21       64.93       48.95           64.93
        100       1524.01          1200         1524.01       65.28       49              65.28
        105       1613.82          1262.5       1613.82       65.6        49.05           65.6
        110       1703.65          1325         1703.65       65.89       49.09           65.89
        115       1793.50          1387.5       1793.50       66.16       49.13           66.16
        120       1883.36          1450         1883.36       66.4        49.17           66.4
        130       2063.10          1575         2063.10                   49.23           66.83      HS-20 shear force govern
        140                        1700         2242.89   HS-20 moments govern  49.29     67.20
        150                        1825         2422.704                  49.33           67.52
        160                        1950         2602.54                   49.38           67.8
                  Lane load with                             Lane load with
        170       18 kips          2075         2782.40      26 kips      49.41           68.06
               Long spans
        180       concentrated     2200         2962.27      concentrated  49.44          68.27
        190       load for bending   2325       3142.16      load for shear   49.47       68.46
                                                             governs
                  governs
        200                        2450         3322.05                   49.5            68.64
        210                        2575         3501.96                   49.52           68.8
        220                        2700         3681.88                   49.55           68.95
        230                        2825         3861.80                   49.57           69.08
        240                        2950         4041.73                   49.58           69.2
        †  Tandem load moments exceed 20 moments for long spans.



        3. Fabricated girders.
              Due to improvements in fabrication technology, lighter girders are possible for a wide
            range of spans. It is more economical to use variable thickness flanges and a thinner web

            with transverse stiffeners at variable spacing. Welds in tension zones can be avoided.
              Max. HL-93 moments are combined truck and lane moments. While maximum lane
            moments occur at midspan, maximum truck moments occur under the wheel load. An
            approximate method is to combine the two values. The lane moments at the location of
            wheel will be smaller due to parabolic shape of bending moment diagram.
              With the availability of plates in a wide range, hybrid girders with 70W steel fl anges and
            50W webs are now possible. Some states have successfully used 100W steel for longer
            spans.

        Use of Rolled Sections Versus Plate Girders
            When designing a girder, a distinction is found between selections of rolled sections com-
        pared to fabricated plate girders. Due to rolling tolerance requirement of thinner webs, rolled
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