Question

el column shown in the fig is fixed at its base and free at its per end. At the top of the column, a load P is applied to the stiffened seat . Use the AISC equations given in Section 16.5 and assume that E = 29000 ksi and The structural s an eccentricity of e= 7.750 in, from the centroidal axis of the wide-flange shap o= 36 ksi. Employ the allowable stress method to determine: port at (a) whether the column is safe for a load of P = 14.5 kips. Report the results in the form of the stress ratio Oaliow (b) the magnitude of the largest eccentric load P that may be applied to the column. Assume L 11.75 ft, a = 0.525 in ., b = 7.375 in., c 8.425 in ., d = 7.750 in ., andt = 0.36 in. eccentricity C Cross section a) Enter the stress ratio and choose the correct answer regarding whether the column safe or unsafe. 44.938 Gallow The column is Unsafe Safe Enter the magnitude of the largest eccentric load P that may be applied to the column. b) kips P .552

Answer 1

yshftmg Considis the diagram stutue the load en centroid Pe Considin the CrOss-Sectren Cf thu column A 0.525 in 0.525 in 375n (B 7.75in A 0.36 Calculat the ana oCroB-gtren A 2x A1 A3 T525x 775+(0.36x7.375 10.92s in Caleulate e momentInstia abaat 2-2 ais

775 x0-5253 7375 /2 2 4 = 139.186 Calculate th maximum SFAUS in the lum (pey -P 7-75x 1D 7925 139-186 0.32 72 P (a) P 14 5 KIps D.32 72x14.5 -4.74 KSI Calculati 4.7y 36 4.Fuy 0.1317 Oalow Hence column sa P4skip AS alls

(b.) for maxmum eecentnc loaol p 36 -0.3272P 11o Kip