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Explore the graphics representation of planes, solids, and analytical geometry used in engineering technical drawings. Learn traditional methods like direct view, revolution, and fold-line for solving spatial design problems. Understand dihedral angles, line types, and plane types while mastering Descriptive Geometry principles. Get hands-on with AutoCAD for space geometry assignments. Download templates, consult handouts, and practice solving problems for a solid understanding of the concepts. Enhance your skills in representing real or imagined objects with precision in this Autumn Quarter course.
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Topics For Today • Drawing No. 16 is due now • Lab report due on at the beginning of your lab period • Descriptive Geometry • Read BTG Chapter 11, Section 5 Autumn Quarter
Descriptive Geometry • Graphics representation of the plane, solid and analytical geometry used to describe real (or imagined) objects • It is the foundation, the underlying science of engineering technical drawings • Traditional methods for solving spatial design problems: • Direct view • Revolution • Fold-line Autumn Quarter
Conventions and Definitions • Lines and planes extend to infinity while we work with a small portion which we define. • Lines and planes can be extended. • Dihedral angle – The angle between two planes – smaller of the two. It can be found by finding the line of intersection and looking at the line of intersection as a point. • Angle between a line and plane – This requires a view in which the plane is an edge and the line is true length. Autumn Quarter
Line Types • Vertical, horizontal, or inclined • Top • Front • If a line is parallel to one of the principal projection planes, it’s called a principal line • Frontal (parallel to and true length in a frontal plane) • Horizontal • Profile TL TL TL Autumn Quarter
Plane Types • Horizontal Plane (True Size Projection In Top Or Bottom Views) BT Top CT TS AT Front AF CF BF Autumn Quarter
Descriptive Geometry - Planes • Vertical plane (appears as edge in top and bottom views) • Profile (appears as edge in front view and is parallel to profile projection plane) • Frontal (appears as edge in profile view and is parallel to frontal projection plane) Autumn Quarter
Descriptive Geometry - Planes F N M Top L A B C E D D B D F F TS L TS N M C A E E Inclined (Not TS!!) Profile Frontal Autumn Quarter
Descriptive Geometry - Planes Oblique (Not True Size Projection In Principal Views) Y Z X X Z Y Autumn Quarter
Key to Descriptive Geometry Top Know the location of the origin (0,0,0) Front Right Side Autumn Quarter
Descriptive Geometry with AutoCAD • Download a blank3d template – 4 viewports, 3D construction, world coordinates, cursor tracking – world • Layout mode – Transferring the model to paper – tab at the bottom of screen • The layout and the model or construction mode are all part of one file. Autumn Quarter
Today’s Assignment • Download template from Web CT • Dwg 17 – SGAC-3-1 • Space Geometry in AutoCAD • Pierce point of a line and a plane • Due at end of class today • Consult handout – steps for solving problems in AutoCAD are provided • Dwg 18 – SGAC-3-2 • Space Geometry in AutoCAD • Intersection of Planes • Due at beginning of next lecture • Consult handout– steps for solving problems in AutoCAD are provided Autumn Quarter