Layout Design and Sheet Metal Fabrication (UMAP)

A unit that involves calculus with layout design and sheet metal fabrication. In sheet metal fabrication a pattern is sketched on the flat surface of the sheet of metal, cuts are made, the sheet is bent and welded to produce the desired object. These patterns have traditionally been produced by a lengthy geometric construction. This module show that these constructions can be considerably shortened by application of analytic geometry. The fabrications of an elbow, a T-joint, and a rectangle-to-round transition piece are discussed. Students will be able to create the layout design for fabrication of an elbow, a T-joint, and a rectangle-to-round transition piece.

Table of Contents:

1. INTRODUCTION

2. FABRICATING AN ELBOW
2.1 The Pattern in the Plane
2.2 The Intersection of the Plane and the Cylinder
2.3 The Fabrication

3. FABRICATING A T-JOINT
3.1 The Intersection of Perpendicular Cylinders
3.2 The Fabrication

4. FABRICATING A RECTANGLE-TO-ROUND TRANSITION PIECE
4.1 The Lengths of the Vertical Segments
4.2 Sketching the Pattern

5. SUMMARY

6. TEST

7. ANSWERS TO EXERCISES

8. ANSWERS TO THE TEST