Handbook of Civil Engineering Calculations

(singke) #1

AISC Specification establishes the criteria for ascertaining whether column stiffeners are
required. The first criterion is obtained by equating the compressive stress in the column
web at the toe of the fillet to the yield-point stress/J,; the second criterion was obtained
empirically. At the ultimate load, the capacity of the unreinforced web = (0.503 + 5 x
1.25)0.430/; = 2.904& capacity of beam flange = 3.52& QA(A/
5
= 0.4(3.52)
05
= 0.750



0.671 in (17.04 mm).
Stiffeners are therefore required opposite both flanges of the beam. The required area
is Ast = 3.52 - 2.904 = 0.616 in
2
(3.97 cm
2
). Make the stiffener plates 3
1
X 2 in (88.9 mm)
wide to match the beam flange. From the AISC, rmin = 3.5/8.5 = 0.41 in (10.4 mm). Use
two 3V4 x !/2 in (88.9 x 12.7 mm) stiffener plates opposite both beam flanges.




  1. Design the connection plate for the top flange
    Compute the flange force by applying the total depth of the beam. Thus, F= 1520/16.00 =
    95 kips (422.6 kN); A = 95/22 = 4.32 in^2 (27.87 cm^2 ).
    Since the beam flange is 7 in (177.8 mm) wide, use a plate 5 in (127 mm) wide and %
    in (22.2 mm) thick, for which A = 4.38 in
    2
    (28.26 cm
    2
    ). This plate is butt-welded to the
    column flange and fillet-welded to the beam flange. In accordance with the AISC Specifi-
    cation, the minimum weld size is^5 /ie in (7.94 mm) and the maximum size is^13 /ie in (20.6
    mm). Use a^5 /s-in (15.9-mm) weld, which has a capacity of 6000 Ib/lin in (1051 N/mm).
    Then, length of weld = 95/6 = 15.8 in (401.3 mm), say 16 in (406.4 mm). To ensure that
    yielding of the joint at ultimate load will occur in the plate rather than in the weld, the top
    plate is left unwelded for a distance approximately equal to its width, as shown in Fig. 9.

  2. Design the seat
    The connection plate for the bottom flange requires the same area and length of weld as
    does the plate for the top flange The stiffener plate and its connecting weld are designed
    in the same manner as in the previous calculation procedure.


RECTANGULAR KNEE OF RIGID BENT


Figure 1Oa is the elevation of the knee of a rigid bent. Design the knee to transmit an ulti-
mate moment of 8100 in-kips (914.5 kN-m).


FIGURE 10. Rectangular knee.
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