Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
EGBC National Exam — Basic Studies, 04-BS-06 Mechanics of Materials, 2018-May. 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 ch.4; shear/moment diagrams ch.6; beam deflection by integration ch.9; stress transformation & Mohr's circle ch.9; transformed-section composite beams ch.6; torsion of circular shafts ch.5; column buckling ch.13).