Question

1. Determine if a built-up ASTM A572 Grade 5C (Ey - 345 MPa) column with PL 270 X 10 an flanges and PL 180 x 7 mm web has sufficient available strength to carry a dead load of 170 kN and a live load of 510 kn in axial compression. The column's unbraced length is 5 meters and the ends are pinned in both axes. (Use LRD, 10 pts)

Answer 1

ANSWER
0 Dead lead (D1= l¥ok N = 38-aikiss Live land (4)= siokn= 114.6skips smn Cl)-5m = 16.4 ASTM Gonde 50 (Fy= 345MAQ =Soksi] As per LRFO!- we know that Pu=19 XD<+1684 Pue = 10(98-2)+16(11465) Pu - 45-852+ 183.44. Pu=229.29k. Assume ()=5 -50 ksi Using Fy = 50KS Steel De repent from AISC table 4-99 - 355 ksi for Aven giecured = Py defcy 229.29 37:5 < Gylin Given area & Built cipseCHOD= AreaOtAra tres -*10+10 +37010)

Aprovided 6660m2 2 Aprovided -: 10:32. in lorem 12000 lotem -27001 in Vio The moment & inertia about y-axis given by cm Iy= dyb2+d2by2d3b3 16X3703 In = 10x3203 180473 12 + 1 = 640 2500 45125+ 6 09500 I4 = 3281014 Smna Iy=78.32704 We know that By Aprovided 78-82 10:32 Ту= 7.6375 Yy=9.76 in

زی . Also ( 1), - ( 1X1664x/2 2.76 196.8 2.76 - 4130 [x=l both ends pined] Then defer= 30.5 ks from AISC Latte 4-. deth - (30.5 ksi) X10:3270) = 314.46K > 39.29K Hence ok Yes, the built up ASTM A579 grade 50 column with provided Section ºg sufficient to carry the load & २२१.99kips.