Page 189 - Handbook of Civil Engineering Calculations, Second Edition
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1.172           STRUCTURAL STEEL ENGINEERING AND DESIGN

                            Calculation Procedure:

                            1. Record the relevant properties of the W18   60
                            The connection is shown in Fig. 5a. Referring to the row of rivets in Fig. 5b, consider that
                            there are n rivets having a uniform spacing p. The moment of inertia and section modulus
                            of this rivet group with respect to its horizontal centroidal axis are
                                                      2
                                                     n – 1       pn(n + 1)
                                             I   p n         S                            (3)
                                                 2
                                                      12            6
                              Record the properties of the W18   60: d   18.25 in. (463.6 mm); b   7.558 in. (192
                            mm); k   1.18 in. (30.0 mm); t f   0.695 in. (17.7 mm); t w   0.416 in. (10.6 mm).
                            2. Establish the capacity of a rivet
                            Thus: single shear, 9.02 kips (40.1 kN); double shear, 18.04 kips (80.2 kN); bearing on
                            beam web, 0.875(0.416)(48.5)   17.65 kips (78.5 kN).
                            3. Determine the number of rivets required on line 1 as governed
                            by the rivet capacity
                            Try 15 rivets having the indicated disposition. Apply Eq. 3 with n   17; then make the
                                                         2
                                                                    2
                                                                                       2
                            necessary correction. Thus, I   9(17)(17 – 1)/12 – 2(9)   3510 sq.in. (22,645 cm ); S
                            3510/24   146.3 in. (3716 mm).
                              Let F denote the force on a rivet, and let the subscripts x and y denote the horizontal
                            and vertical components, respectively. Thus,  F x   M/S   2500/146.3    17.09 kips

































                                  FIGURE 5. Riveted moment connection.
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