23-Ind-B2 Manufacturing Processes · December 2019
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Examinations, December 2019 — 17-Ind-B2 Manufacturing Processes. 3-hour closed-book exam; candidates may use a Casio or Sharp approved calculator. Any five questions constitute a complete paper (only the first five as they appear are marked officially); all seven are answered below as a full study resource.
Reference texts. Groover, Fundamentals of Modern Manufacturing: Materials, Processes, and Systems, 6th ed. (primary text for this subject — material selection, casting, polymer processing, machining, and composites).
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
Solidification of a casting proceeds directionally, from the outside in: the molten metal touching the (much cooler) mold wall freezes first, forming a thin, rigid solid skin that takes on the exact shape of the mold cavity almost immediately. As cooling continues, that skin thickens inward while the interior — the last region to reach freezing temperature, usually near the geometric core or thermal centre of the part — stays liquid the longest.
Because the outer skin has already solidified and become rigid, it locks in the part’s external dimensions; it cannot move inward or collapse to compensate for the shrinkage still occurring in the liquid interior (both ordinary thermal contraction of the remaining liquid and the volumetric shrinkage that occurs as liquid metal converts to solid, which for most metals is a net contraction of a few percent). The liquid core keeps shrinking as it cools and continues to freeze, but it is now sealed off by the already-rigid shell and increasingly starved of any further liquid metal supply to fill the volume it is losing (unless a riser is specifically positioned to feed it, which this question’s scenario does not include). With nowhere else for that missing volume to come from, a void — a shrinkage cavity, or scattered micro-porosity if the freezing front is more mushy/dispersed — opens up in the last-to-freeze core region.
The part’s external geometry is therefore preserved (it was fixed by the rigid outer shell early in solidification, and the rigid shell resists any external collapse), while the missing volume is instead absorbed internally, invisibly, as a cavity in the core — exactly the pattern the question describes.