332 A singleangle tension member is connected to a gusset pl

3.3-2 A single-angle tension member is connected to a gusset plate, as shown in Figure P3.3-2 The yield stress is F. 50 ksi, and the ultimate tensile stress is F\" = 70 ksi. The bolts are inch in diameter. Determine the nom- inal strength based on the effective area. Use Equation 3.1 for U. L4×4×7/16 1%\" 3\" FIGURE P3.3-2

Solution

for given plate

Ag=3.13 in²

x= 1..16 in

U= B_f*t_f/Ag = (4*7/16)/3.13= 0.559

or U=1-X/L = 1-1.16/6 =0.8066

max of two U=0.8066

An= Ag -2*(d+1/16)t_f = 3.13 -(7/8+1/16)*7/16 = 2.72 in²

Ae= U*An = 0.8088*2.72=2.194 in²

Pn= Fu*Ae=70*2.194 =153.58 kips