Gateway Arch Puzzle

thingiverse

Students studying higher math often ask, "When will we ever use this in real life?" In this activity, students will build a real model of the hyperbolic cosine function. Breaking the arch into parts that can be assembled as a puzzle adds an element of interest and illustrates that the stability of the structure rests in the center keystone block. Print Settings Printer Brand: MakerBot Printer: MakerBot Replicator Rafts: Yes Supports: Yes Infill: 10% Notes: Quality - standard Layer Height - 0.2 mm Number of shells - 2 How I Designed This Software/Hardware 123D Design Makerbot Replicator Design Cross-sections of the St. Louis Gateway Arch are equilateral triangles. We created two equilateral triangles with side lengths 16 mm (base triangle) and 5.2 mm. (vertex triangle). (scale 1:1000) Using the spline tool, we drew a curve representing one half of the arch. Using the loft tool, we connected the base triangle to the vertex triangle along the spline curve, creating a 3D model of one side of the arch. Using the split object tool, we divided this solid into 5 sections (bottom, 3 side pieces, and top). We added a base to the bottom piece by extruding a rectangle and grouping it with the bottom piece into a single base piece. We mirrored the base piece and grouped them to form a base for the entire arch. Printing Using the Makerbot Replicator, we printed out the 3D model of the Gateway Arch. Assembly Students will assemble the parts of the arch using glue and other materials. Lesson Plan and Activity Completion of unit on trig functions covering hyperbolic cosine equations; research on the construction of the Gateway Arch; basic understanding of how to use 123D Design and the Makerbot printing process Duration of Lesson 1 Week Rubric and Assessment http://www.nwasco.k12.or.us/cms/lib04/OR01001464/Centricity/Domain/97/08%20Engineering%20Design%20Process%20Worksheet.pdf References https://www.youtube.com/watch?v=aFjGVBQvc-s https://www.youtube.com/watch?v=A25pysArRwk https://www.google.com/search?q=building+gateway+arch&hl=en&gl=us&authuser=0&tbm=isch&tbo=u&source=univ&sa=X&ved=0ahUKEwjTsZ2b6aLNAhUJ4oMKHe1pD6YQsAQILw&biw=1366&bih=653 https://www.nps.gov/jeff/planyourvisit/architecture.htm https://en.wikipedia.org/wiki/Gateway_Arch