Page 185 - Handbook of Civil Engineering Calculations, Second Edition

1.168 STRUCTURAL STEEL ENGINEERING AND DESIGN

FIGURE 2

load; e eccentricity; M u ultimate moment P u e; f y yield-point stress; d depth
of section; t thickness of section.
By using Fig. 2c,

P u T 2 f y t(d – 2x) (1)
Also, T 1 f y tx, and M u P u e T 1 (d – x), so

2
d d 2 0.5
x + e – + e – ed
(2)
2
2
Or, x 6 + 2.2 – [(6 + 2.2) – 2.2 12] 0.5 1.81 in. (45.9 mm).
2. Find P u
By Eq. 1, P u 36,000(0.50)(12 – 3.62) 151,000 lb (671.6 kN).

ANALYSIS OF A GUSSET PLATE

1
The gusset plate in Fig. 3 is /2 in. (12.7 mm) thick and connects three web members to
the bottom chord of a truss. The plate is subjected to the indicated ultimate forces, and
transfer of these forces from the web members to the plate is completed at section a-a. In-
vestigate the adequacy of this plate. Use 18,000 lb/sq.in. (124.1 MPa) as the yield-point