Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
EGBC National Exam — Basic Studies, 04-BS-6 Mechanics of Materials, 2019-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 of composite members 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; combined axial+bending+shear ch.8; beam deflection by integration ch.9). Standard W-shape table (exam Appendix C) is not needed by any question below.