Orthographic Projection

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Transcription:

ENG3000 Orthographic Projection 1

Session Objectives To understand the basic principles of orthographic projection To be able to construct orthographic views of simple objects To visualize 3 D objects from drawings showing their orthographic views 2

Orthographic Projection Ortho Greek word meaning perpendicular Show the views of an object projected in 2 D Usually the top, front, and right side views top front right 3

Orthographic Projection Imagine the object is surrounded by a glass cube. Object surfaces are projected onto the faces. 4

Orthographic Projection Unfold the cube so that it lies in a single plane Three views of the object are now visible on the same plane in space Fold lines 5

Orthographic Projection When the glass cube is unfolded: W D Front view: Height and Width D Top view: Width and Depth Right view: Depth and Height H H W 6

Orthographic Projection Align views with each other (features project from one view to the next) 7

Orthographic Projection: Normal Surfaces B A Parallel to one of the six glass panes of our transparent cube Perpendicular (normal) to the projectors to/from that plane Shown true size and Line 1 B A Line 4 Line 2 Line 3 shape in the view that they are parallel to Seen as edges (lines) in the other principal views A is 1 and 4 B is 2 and 3 8

Orthographic Projection: Hidden Lines Visible Line (Solid lines, can be seen in a given view, aka: Object Lines) Hidden Line (Dashed lines; can t be "seen in that view) 9

As an Individual... In your lab manual, pp. 28 29 (top two), construct the top, front and right side views of the objects shown in isometric. Make sure your views are aligned and hidden lines are included as necessary Compare your answers 10

Orthographic Projection: Missing Views Constructing the third view helps visualization skills 3 D object has edges and surfaces and they appear differently in various views. Edge: a point, edge or surface Surface: surface or edge W When constructing the third view, recall: Points project perpendicularly from one view to the next Object dimensions (height, width and depth) are preserved from one view to the next H W D H D 11

As an Individual... In your lab manual, p. 30, construct the third view of the objects Compare your answers to those of your teammates 12

Orthographic Projection: Surface Identification For the indicated surfaces and edges, where are they located in the adjacent view? 8 9 10 11 1 2 4 1, 2 Surface 8, 9, 11, 10 3 Edge 10, 8 9,11 Edge 2 or 4 3 13

Orthographic Projection: Surface Identification For the indicated surfaces and edges, where are they located in the adjacent view? 30, 23 surface 8, 9 surface 9, 10 surface 10, 3 surface 25 edge 20, 27 edge 29, 27 edge 10, 5 edge 14

Orthographic Projection: Isometric Sketches from Orthographic Views Constructing Isometric sketches from Orthographic views develops visualization skills. 15

Orthographic Projection: Iso. Sketches from Ortho Sketches 1. Find the object s overall dimensions from the orthographic views and sketch that size box on isometric dot paper. H D W 16

Orthographic Projection: Iso. Sketches from Ortho Sketches 3. Add/remove lines until the view is complete. 17

Orthographic Projection: Iso. Sketches from Ortho Sketches 2. Sketch the top, front, and right side views in their appropriate locations on the box. 18

As an Individual... In your Lab Manual, p. 31: 1. sketch a box of that size on isometric dot paper 2. sketch the top, front, and right side views 3. add and remove lines H D W 19

Individual Homework Due: Thursday 8.2 Complete Lab Manual problems on pp. 28 31 as indicated 20