Question

A W8x35 is used as a column. The weak axis is braced at 28 ft from the bottom and the bottom end condition is fixed in all directions. The top is pinned in all directions and weak axis bracing is pinned. Find the critical load of buckling and the critical stress of buckling. Total Length = 50ft.

rx =

Select one:

a. 5.51 in.

b. 3.51 in.

c. 3.13 in.

d. 2.03 in.

ry =

Select one:

a. 5.51 in.

b. 3.51 in.

c. 3.13 in.

d. 2.03 in.

P_cr =

Select one:

a. 175 k

b. 350 k

c. 1097 k

d. 548 k

(P/A)_cr =

Select one:

a. 34 k/in²

b. 53.2 k/in²

c. 17 k/in²

d. 106.5 k/in²

Answer 1

W8x35 1 Soft 4= 50-28= 22ft, L2 = 28 Ft In weak L in weak سے In strong axis co 28ft (Pinz axis L=500 ft K (Pinned-fixed) = 0.7 leff= 0.7850=35ft) In weak axis L=22 ft (Pin-Pm) K=1 a leff= 22ft L2=28 4+ [Pin-fixed ) 9 k=0.7 a leffs 19.6 6+ W8835Area 10:3 ind [from table] Ix = 127 in 4 r2 = 3.5lin Iy= A=10.3 in L ry= 2.03 in = 42.6int Paste 2206.00k (ii) Per= ITZE I (Left)? case ① in strong axis 0?x25000 X 127 ( 59412)2 2064 H² x 29000 × 42.6 1754 in weak axina ( 92 x )? 12 80, Por= (175k) option 175 ( @l Aor 10.3= 17kline A