Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — December 2013 — 04-Geol-A5 Rock Mechanics. Three-hour, closed-book exam; one of two approved calculators permitted, plus two sheets of the candidate's own rock-mechanics formulae/notes. Five questions of equal value (20 marks each); the paper instructs candidates to answer only the first 4 of 5 questions appearing in the answer book — all five are answered here as a complete study resource. Selected equations, RMR tables (Bieniawski 1989) and the Modified Lauffer stand-up-time chart are supplied at the back of the exam and are reproduced where used.
Reference texts: Bieniawski, Engineering Rock Mass Classifications (Wiley, 1989) — the RMR system, discontinuity-condition guidelines, and excavation/support tables used in Q1; Hoek, Practical Rock Engineering — Mohr-Coulomb strength parameters from triaxial data, Kirsch stress solutions around circular openings, and thick-wall liner design used in Q2/Q3/Q5; Brady & Brown, Rock Mechanics for Underground Mining (3rd ed.) — tributary-area pillar stress analysis and elastic pillar deformation used in Q4; EGBC Geoscience Professional Practice Guidelines for assumption-disclosure conventions.