Handbook of Civil Engineering Calculations

FIGURE 2

load; e = eccentricity; M 14 = ultimate moment = Pue\fy = yield-point stress; d = depth of
section; t = thickness of section.
By using Fig. 2c,

Pu=T 2 =fyt(d-2x) (1)

Also, T 1 =fytx, and Mn = Pue = T 1 (J - *), so

d \ld V "I^0 -^5

*-!

+

<-[(i

+

<H]

(2)

Or, jc = 6 + 2.2 - [(6 + 2.2)^2 - 2.2 x 12]°^5 = 1.81 in (45.9 mm).

2. FiHdP 11
   By Eq. 1, Pu = 36,000(0.50)(12 - 3.62) = 151,000 Ib (671.6 kN).

ANALYSIS OFA GUSSETPLATE

The gusset plate in Fig. 3 is^1 ^ 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 trans-
fer of these forces from the web members to the plate is completed at section a-a. Investi-
gate the adequacy of this plate. Use 18,000 lb/in^2 (124.1 MPa) as the yield-point stress in