Handbook of Civil Engineering Calculations

(singke) #1

  1. Ascertain whether the assumed size of the cover plates
    satisfies the AISC Specification
    Using the appropriate AISC Manual section, we find 7.56/0.375 = 20.2 < 32, which is ac-
    ceptable;^1 X 2 (IO- 7.56)70.375 = 3.25 < 16, which is acceptable.

  2. Test the adequacy of the trial section
    Calculate the section modulus of the trial section. Referring to Fig. 40, we see /= 984 +
    2(3.75)(9.31)^2 - 1634 in^4 (68,012.1 cm^4 ); S = IIc= 1634/9.5 = 172.0 in^3 (2819.08 cm^3 ).
    The reinforced section is therefore satisfactory.

  3. Locate the points at which the cover plates are not needed
    To locate the points at which the cover plates may theoretically be dispensed with, calcu-
    late the moment capacity of the wide-flange shape alone. Thus, M=JS = 24(107.8)712 =
    215.6 ft-kips (292.3 kN-m).

  4. Locate the points at which the computed moment occurs
    These points are F and G (Fig. 3). Thus, MF = 35.2^ 2 - 8O 1 - 4) -^1 X 2 (I^ 22 ) = 215.6;
    y 2 = 8.25 ft (2.515 m); M 0 = 30.8j; 2 - /2(1.2J 22 ) = 215.6; y 2 = 8.36 ft (2.548 m).
    Alternatively, locate F by considering the area under the shear diagram between E and
    F. Thus MF = 340.3 -^1 X 2 (1.2y 32 ) = 215.6; y 3 = 14.42 ft (4.395 m); yi = 22.67 - 14.42 =
    8.25 ft (2.515m).
    For symmetry, center the cover plates about midspan, placing the theoretical cutoff
    points at 8 ft 3 in (2.51 m) from each support.


(a) Reinforced section

Plate

(b) Welding of cover plates

FIGURE 4
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