Question

P16.042 (GO Tutorial) The structural steel column shown in the figure is fixed at its base and free at its upper end. At the top of the column, a load P is applied to the stiffened seat support at an eccentricity of e 7.750 in. from the centroidal axis of the wide-flange shape. Use the AISC equations given in Section 16.5 and assume that E 29000 ksi and o, 36 ksi. Employ the allowa ble stress method to determine: (a) whether the column is safe for a load of P = 12.5 kips. Report the results in the form of the stress ratio Gallow (b) the magnitude of the largest eccentric load P that may be applied to the column. 11.75 ft, a = 0.575 in ., b = 7.000 in Assume L c 8.150 in . d 7.750 in., and t 0.44 in eccentricity e b a Cross section a) Enter the stress ratio and choose the correct answer regarding whether the column is safe or unsafe. Gallow The column is C Unsafe C Safe b) Enter the magnitude of the largest eccentric load P that may be applied to the column. kips P= Click if you would like to Show Work for this question: Open Show Work

Answer 1

9, 3.788 in a axd = 0.S7S7. a 4.456 in da3 tb I +2 12 ak 3 0.44x7 + 2 7.75x0.573 (4.+S6 x3.788) 12 12 I2 140.7 int S8 4.07S in 2(axd) + (bxt) 2 (o sasx 7.75) + (구x 0.44) 11.993 in AdeaCA) A = Moment (M) Px e = SSEE 구.구S P 4.675 P X 140.7 11.993 M0.3078P KSi p= 12. S ps, augw= 36Ksi awhen 0.3078 X 12.S Stress Jatia aala 36 6.1668 auaw O un safe Safe O.1068 2O068 x alou) 1.e aLou Hence lt is Safe.

Congideing buckuing LI 1.75X2 141 in Le 21 2 41 Le 282 in E 29000 Ksi TYX 29000 x 140. 282V Pcy PC S06.399 kip consideung yied 36 O.3078 P 16.959 if P Hence Jargest eccentarc Joad P minimum st (PP) Pmax Pmoz 116.9S9 kip