Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — May 2013 — 04-BS-6 Mechanics of Materials. Three-hour, closed-book exam (one double-sided hand-written aid sheet permitted, approved Casio/Sharp calculator only). Format: eight questions offered; any five constitute a complete paper and only the first five appearing in the answer book are marked. All eight are solved below for completeness. No credit is given in the original exam for solutions built by superposing existing standard solutions on Questions 1 and 6 — both are solved here by direct integration/equilibrium as required.
Reference texts: Hibbeler, Mechanics of Materials (10th ed., Pearson) — beam deflection by integration (Ch. 12), stress transformation and Mohr's circle (Ch. 9), columns and buckling (Ch. 13), combined axial & bending loading (Ch. 8), torsion of circular shafts (Ch. 5), transformed-section method for composite beams (Ch. 6), shear and moment diagrams (Ch. 6-7); Beer, Johnston & DeWolf, Mechanics of Materials (7th ed., McGraw-Hill) — cross-check reference for the same topics.
