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264            SECTION 2                                        STRENGTHENING AND REPAIR WORK



                            The factored resistance, Rr, for gusset plates in tension shall be taken as the least of the
                        values given by either:
                        1. Yielding,
                        2. Fracture, or
                        3. The block shear rupture resistance.
                            •  Gross Section Yielding Resistance
                            •  Block Shear Rupture Resistance
                            The resistance of block shear rupture is that of combination of parallel and perpendicular
                        planes, one in axial tension and the remainder under shear. The factored resistance of the plate
                        for block shear rupture shall be considered.
                        Gusset Plates In Shear
                            The factored shear resistance, Rr, for gusset plates in shear shall be taken as the least resis-
                        tance against shear yielding and net section fracture.
                        Gusset Plates under Combined Flexural and Axial Loads

                        1. The maximum elastic stress from combined factored flexural and axial loads
                            :)fFy based on the gross area of the plate.
                            where:
                                )f 3 resistance factor for fl exure 3 1.00
                                Fy 3 specified minimum yield strength of the plate


                            The analysis of gusset plates for combined flexural and axial loads involves the evaluation
                        of several sections to arrive at the critical section.
                            The large number of equations listed are based on FHWA’s latest research on the subject
                        and need to be developed in a computer program.
                        6.7.4  Connections Design Using High Strength Bolts (Example Only)

                            Case study of connection design for I-95 state road viaduct, north of Philadelphia: On a recent

                        project for PennDOT, AASHTO LRFD specifications were used for the equations evaluating
                        strength and service design of diagonal bracing members. Forces output was from STAAD-Pro
                        frame analysis. Six or nine bolt connections were used.

                        Table 6.9  Sample spreadsheet for check bolts for strength I, III, and V load combinations.
                         Strength I / III Axial Force  Diagonal  Horizontal  SMSQ          Resultant

                         LOCATION 1
                             2
                         R = (H + V )            1.5         2.6       9.01                3.0017
                                 2 0.5
                         LOCATION 2              10          15        325                 18.0278
                         LOCATION 3              15          10        325                 18.0278

                         NO. OF BOLTS                                                      6
                         FORCE/BOLT = R/N                                                  3.0046
                         Shear Resistance

                           = ()) R
                         R t    n
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