PSAD SITUATION 65: Combined Axial Compression and Bending on Steel Column | CELE November 2022

CELE Past Board Exam Problem To learn more, enrol now to iReview Tutorial and Review Center: https://www.facebook.com/share/1AC24Wsb9v/?mibextid=wwXIfr SITUATION: The columns of a warehouse are fixed at the base and pin connected at the top. About the Y-axis, the columns are braced at midheight. Sidesway is prevented and effective length factor = 1.0. About the X-axis, there are no braces at midheight. Sidesway is uninhibited and effective length factor = 1.2. Given: Column Properties: Area, A = 8580 mm2 Depth, d = 255 mm Web thickness, tw = 9 mm Flange width, bf = 200 mm Flange thickness, tf = 16 mm Moment of Inertia About the X-axis, Ix = 1.03 x 108 mm4 Moment of Inertia About the Y-axis, Iy = 2.2 x 107 mm4 Yield Stress, Fy = 248 MPa Column Height, h = 6.0 m Column Loads: Axial Load, P = 160 kN Mx at the Base = 30 kN-m My = 0 1. Solve for the axial compressive stress, Fa (MPa), that would be permitted if axial force alone existed. Refer to the attached table. A. 126.2 C. 120.7 B. 80.9 D. 116.3 2. The axial load, P, is at an eccentricity, e = 0.25 m from the centroidal X-axis of the column. Solve for the maximum bending stress (MPa). A. 37.1 C. 86.7 B. 74.3 D. 49.5 3. Using the interaction equation: (fa/Fa) + (fb/Fb) ≤ 1.0 Find the maximum axial load P (kN) that can be applied at an eccentricity of 0.25 m about the centroidal X-axis. Given: Fa = 75 MPa; Fb = 148 MPa A. 100.8 C. 474.7 B. 274.1 D. 205.8 Thanks for watching! Comment for questions and suggestions for future lecture in this series. Subscribe and hit the bell button to be notified for future posts. Check out our Review Center: https://www.facebook.com/share/1AC24Wsb9v/?mibextid=wwXIfr #civilengineering #boardexam #engineering #structuralanalysis #structuralengineering #CivilEngineeringLicensureExamination #PRC #PSAD #loadanalysis #theoryofstructures #influencelines #CELENovember2024