Question

A 28 ft long W14x257 column is pinned at the top and bottom ends on the minor axis (i.e., the column end is restrained against translation in a direction perpendicular to the web) and fixed at the bottom and free at the top ends on the major axis (i.e., the bottom end is restrained against rotation about the axis perpendicular to the web and translation parallel to the web, and the top end is free to move in a direction parallel to the web). Determine the design load capacity of the column using a) analytical method (using the formula) and b) AISC manual. Assume material has Fy = 50 ksi.

Answer 1

a) ming W 14x257 [ A = 75.6 is 8x² 6.7lin Yyz 4-13 in) kxlx ? 2x28 2 56ft Kyly 1x282 2882 225 12x56 - a 6.71 100 is - o 384 kelio ² 2 12x28 4.13 x 8 : 81-35 2 81.35 THY mengharus 2* y <44157, 4 29000 13:45 So 28.54 ksi Feate a kete jo rx29000 (100-15ju Benz (0-658 ] Fy : (66882854] 50 2 24-01 ku ØPaz OFC A.2 0.9x 24.01% 75.6 - 1633.94 k (K) , 2 100.15 and Fy, so kini Ofer 2 21.64 from tuble 4-22 is itu AISC manual Opna Of A 2 21.64 x 75.62 1635.98k - - 7 Ch Scanned with CamScanner