Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams December 2013 – 04-BS-6: Mechanics of Materials
3 hours duration, closed book (one hand-written aid sheet permitted). Any five of the eight
questions constitute a complete paper; all eight are solved below as a complete study resource.
Reference texts: R.C. Hibbeler, Mechanics of Materials, 10th ed. (Ch. 5 torsion, Ch. 6 shear/moment diagrams & composite beams, Ch. 7 transverse shear, Ch. 8 combined loadings, Ch. 9 stress transformation, Ch. 12 deflection by integration, Ch. 13 buckling); F. Beer & E.R. Johnston, Mechanics of Materials; W. Gere & B. Goodno, Mechanics of Materials (alternates). A W-shape properties table printed on the exam's last page is not needed — every question supplies its own section dimensions.