Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
EGBC National Exam — Basic Studies, 04-BS-6 Mechanics of Materials, 2018-Dec. Closed book; one hand-written aid sheet permitted. The exam instructs "any FIVE of the eight questions constitute a complete paper," but every question is solved below as a full study resource.
Reference texts: Hibbeler, Mechanics of Materials, 10th ed. (axial deformation & statically indeterminate assemblies ch.4; shear/moment diagrams ch.6; stress transformation & Mohr's circle ch.9; buckling of columns ch.13; torsion of circular shafts ch.5; transformed-section composite beams ch.6; shear flow/VQ/Ib ch.7; beam deflection by integration ch.9). Standard steel W-shape tables (Appendix C of the exam) per CISC Handbook of Steel Construction.