Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Exams — May 2016 · 07-Mec-B1 Advanced Machine Design. Open-book, 3 hours, 100 marks. Part I (Problems 1–2) is compulsory; candidates answer any three of the four Part II problems (3–6). For study value, complete worked solutions to all six problems are provided below.
Reference texts. R.G. Budynas & J.K. Nisbett, Shigley’s Mechanical Engineering Design, 10th ed. (power screws §8-2, clutches §16-5, shaft fatigue §7-4/§6, notch factors §6-10); R.C. Juvinall & K.M. Marshek, Fundamentals of Machine Component Design (screws, clutches); R.C. Hibbeler, Mechanics of Materials (beam reactions, bending stress, deflection).
Check — assumptions stated per the exam rubric. (1) “ton” is read as the US short ton (2000 lb), consistent with the inch/ft·min/hp unit set of Problem 2. (2) In Problem 3 the concentrated couple Mz is taken counter-clockwise (out of the page, per the dot symbol in the figure); a clockwise reading would give RA = 0, RB = 9.5 kN. (3) In Problem 5 the fluctuating torque is assumed transmitted over the 18 in from the drive end to the load; no stress concentration is used as the problem directs.