SECTION 11.6The Secant Formula885Problem 11.6-9A steel column () that is fixed at the base and free at the top is constructed of a W 835 wide-flange member (see figure). The column is long. The force acting at the top of the column has an eccentricity (a) If ,what is the maximum compressive stress in the column?(b) If the yield stress is 36 ksi and the required factor of safety withrespect to yielding is 2.1,what is allowable load ?Probs. 11.6-9 and 11.6-10PallowP±40 ke±1.25 in.P9.0 ft*E±30*103ksiSolution 11.6-9Steel column (fixed-free)W 835 WIDE-FLANGE SHAPE(a) MAXIMUM COMPRESSIVE STRESS()Secant formula (Eq. 11-59):(1)smax±PAc1+ecr2sec aLe2rAPEAbdP±40 kc±b2±4.010 in.Ler±106.2ecr2±1.212r2±IA±4.136 in.2r±2.034 in.A±10.3 in.2I±I2±42.6 in.4b±8.020 in.*Le±2L±2(9.0 ft)±18 ft±216 in.e±1.25 in.E±30*103ksiSubstitute into Eq. (1):(b) ALLOWABLE LOADSubstitute into Eq. (1):Solve numerically:
This is the end of the preview. Sign up
access the rest of the document.