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📄 Contents

  1. Objectives
  2. Objectives
  3. Overview
  4. Overview
  5. Coordinates for 3D Cad Modeling
  6. Coordinates for 3D Cad Modeling
  7. Geometric Entities
  8. Geometric Entities
  9. 4.1 Manually Bisecting a Line or Circular Arc
  10. 4.1 Manually Bisecting a Line or Circular Arc
  11. 4.2 Drawing Tangents to Two Circles
  12. 4.2 Drawing Tangents to Two Circles
  13. 4.3 Drawing an Arc Tangent to a Line or Arc and through a Point
  14. 4.3 Drawing an Arc Tangent to a Line or Arc and through a Point
  15. 4.4 Bisecting an Angle
  16. 4.4 Bisecting an Angle
  17. 4.5 Drawing a Line through a Point and Parallel to a Line
  18. 4.5 Drawing a Line through a Point and Parallel to a Line
  19. 4.6 Drawing a Triangle with Sides Given
  20. 4.6 Drawing a Triangle with Sides Given
  21. 4.7 Drawing a Right Triangle with Hypotenuse and One Side Given
  22. 4.7 Drawing a Right Triangle with Hypotenuse and One Side Given
  23. 4.8 Laying Out an Angle
  24. 4.8 Laying Out an Angle
  25. 4.9 Drawing an Equilateral Triangle
  26. 4.9 Drawing an Equilateral Triangle
  27. 4.10 Polygons
  28. 4.10 Polygons
  29. 4.11 Drawing a Regular Pentagon
  30. 4.11 Drawing a Regular Pentagon
  31. 4.12 Drawing a Hexagon
  32. 4.12 Drawing a Hexagon
  33. 4.13 Ellipses
  34. 4.13 Ellipses
  35. 4.14 Spline Curves
  36. 4.14 Spline Curves
  37. 4.15 Geometric Relationships
  38. 4.15 Geometric Relationships
  39. 4.16 Solid Primitives
  40. 4.16 Solid Primitives
  41. 4.17 Recognizing Symmetry
  42. 4.17 Recognizing Symmetry
  43. 4.18 Extruded Forms
  44. 4.18 Extruded Forms
  45. 4.19 Revolved Forms
  46. 4.19 Revolved Forms
  47. 4.20 Irregular Surfaces
  48. 4.20 Irregular Surfaces
  49. 4.21 User Coordinate Systems
  50. 4.21 User Coordinate Systems
  51. 4.22 Transformations
  52. 4.22 Transformations
  53. Key Words
  54. Key Words
  55. Chapter Summary
  56. Chapter Summary
  57. Skills Summary
  58. Skills Summary
  59. Review Questions
  60. Review Questions
  61. Chapter Exercises
  62. Chapter Exercises
This chapter is from the book

4.21 User Coordinate Systems

Most CAD systems allow you to create your own coordinate systems to aid in creating drawing geometry. These are often termed user coordinate systems (in Auto-CAD, for example) or local coordinate systems, in contrast with the default coordinate system (sometimes called the world coordinate system or absolute coordinate system) that is used to store the model in the drawing database. To use many CAD commands effectively, you must know how to orient a user coordinate system.

Most CAD systems create primitive shapes the same way each time with respect to the current X-, Y-, and Z-directions. For example the circular shape of the cylinder is always in the current X-Y plane, as shown in Figure 4.75.

f0153-01.jpg

4.75 Cylinder Construction. The cylinder is created with the circular base on the X-Y plane and the height in Z.

To create a cylinder oriented differently, create a user coordinate system in the desired orientation (Figure 4.76).

f0153-02.jpg

4.76 These cylinders were created after the X-Y plane of the coordinate system was reoriented.

To create the hole perpendicular to the oblique surface shown in Figure 4.77, create a new local coordinate system aligned with the inclined surface. After you have specified the location of the hole using the more convenient local coordinate system, the CAD software translates the location of the hole to the world (default) coordinate system.

f0153-03.jpg

4.77 Drawing on an Inclined Plane. A new coordinate system is defined relative to the slanted surface to make it easy to create the hole.

Many CAD systems have a command to define the plane for a user coordinate system by specifying three points. This is often an easy way to orient a new coordinate system—especially when it needs to align with an oblique or inclined surface. Other solid modeling systems allow the user to select an existing part surface on which to draw the new shape. This is analogous to setting the X-Y plane of the user coordinate system to coincide with the selected surface. With constraint-based modelers a “sketch plane” often is selected on which a basic shape is drawn that will be used to form a part feature. This defines a coordinate system for the sketch plane.

A user or local coordinate system is useful for creating geometry in a model. Changing the local coordinate system does not change the default coordinate system where the model data are stored.

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