Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams December 2016 — 04-BS-6: Mechanics of Materials (3 hours, closed book, one hand-written aid sheet permitted). Any FIVE of the eight questions constitute a complete paper on the official exam; every question is answered below. A wide-flange (W-shape) section-property table is attached at the end of the official exam; every question below supplies its own built-up section, so the table is not needed for any of the eight solutions.
Reference texts: Hibbeler, Mechanics of Materials, 10th ed. (shear/moment diagrams, deflection by integration, combined axial+bending, transformation of stress via Mohr's circle, torsion of stepped shafts, axial members and pin connections, Euler column buckling).