Handbook of Civil Engineering Calculations

(singke) #1
Calculation Procedure:


  1. Record the relevant properties of the beam
    Refer to the AISC Manual. The connection will consist of a horizontal seat plate and a
    stiffener plate below the seat, as shown in Fig. 80. Record the relevant properties of the
    W27 x 94: k = 1.44 in (36.6 mm); b = 9.99 in (253.7 mm); tf= 0.747 in (19.0 mm); tw =
    0.490 in (12.4 mm).

  2. Compute the effective length of bearing
    Equate the compressive stress at the toe of the fillet to its allowable value of 27 kips/in^2
    (186.1 MPa) as given in the AISC Manual. Assume that the reaction distributes itself
    through the web at an angle of 45°. Refer to Fig. 86. Then N = P/21tw - k, or N =
    77/27(0.490) - 1.44 = 4.38 in (111.3 mm).

  3. Design the seat plate
    As shown in the AISC Manual, the beam is set back about Vi in (12.7 mm) from the face
    of the support. Make W — 5 in (127.0 mm). The minimum allowable distance from the
    edge of the seat plate to the edge of the flange equals the weld size plus Vie in (7.8 mm).
    Make the seat plate 12 in (304.8 mm) long; its thickness will be made the same as that of
    the stiffener.

  4. Design the weld connecting the stiffener plate to the support
    The stresses in this weld are not amenable to precise analysis. The stiffener rotates about
    a neutral axis, bearing against the support below this axis and pulling away from the sup-
    port above this axis. Assume for simplicity that the neutral axis coincides with the cen-
    troidal axis of the weld group; the maximum weld stress occurs at the top. A weld length
    of 0.2L is supplied under the seat plate on each side of the stiffener. Refer to Fig. 8c.
    Compute the distance e from the face of the support to the center of the bearing, meas-
    uring TV from the edge of the seat. Thus, e=W-N/2 = 5- 4.38/2 - 2.81 in (71.4 mm); P
    = 77 kips (342.5 kN); M= 77(2.81) = 216.4 in-kips (24.5 kN-m); m = OAIlL; Ix = 0.25L
    3


/! = McIIx = 216.4(0.417L)/0.25L^3 = 361.0/Z,^2 kips/lin in;/ 2 = PIA = 11/2AL = 32.08/L


FIGURE 8. Welded seated beam connection.
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