Question

The structural steel column shown in the fiqure 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= 7.000 in. from the centraidal axis of the wide-flanqe shape. Use the AISC equations aiven in Section 16.5 and assume that E=29000 ksi and a, =36 ksi , Employ the allowable stress method determine: (a) whether the column is safe for a load of P= 13.0 kips. Report the results in the form of the stress ratio the magnitude of the largest eccentric load P that may applied to the column. Assume L 12.00 ft, a 0.500 in, b 7.125 in , c 8.125 in, d= 7.875 in., and 0.40 in. eccentricity Cross section a) Enter the stress ratio and choose the correct answer regarding whether the column safe or unsafe Gallo The column is Safe Unsafe Enter the magnitude of the largest eccentric load P that may be applied to the column. b) kips Р3

Answer 1

Moment a Intia Iy = bt+2[ 0d5T - 12 21050. X1815 12 Ч0735 лл+ OKA252I5 YnS037S6X050 X (4-0525-0.25 4 126.68 in 2(050 X785)T2X0 mea A Tadus e gynaliony 1.948 3.436 in 126.63 10-125 2 X(12 X12 iy 2х (2X12) 3-436 83.798 canpess 0n in y oxi) Ty

Slenderness mato paramatase oy 126 KL Ty 36 12 72E 23 au 12 X2000 X o 23XIU71 6838 KSi PE+PL 11 26. 68 10125 O-317P 0.317X 13.0 4-13 KSi 1 4-13/6.838 O604 as (au 0x) Oa/Oau Ang Safe 6.838 060UP 32 Kips Pmax 11.32 Kips.