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Funded by a grant from the National Science Foundation. Any opinions, findings, conclusions or recommendations expressed are those of the authors and do not necessarily reflect the views of the National Science Foundation. Orthographic Drawings Prepared by: Sheryl Sorby, Ph.D. Amy Hamlin, Ph.D. Norma Veurink

Orthographic Projection ● Orthographic Projection ● Normal Surfaces ● Hidden Lines ● Isometric Sketching from Orthographic Projections

Orthographic Projection (pp.16-18) ● Imagine an object is surrounded by a glass cube. ● The object's surfaces are projected onto the faces.

Orthographic Projection Fold lines ● 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

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

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

● 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 shape in the view that they are parallel to Seen as edges (lines) in the other principal views Surface A appears as edge 1 and 4 in top & right views Surface B appears as edges 2 and 3 A B Edge 1 Edge 2 Edge 3 Edge 4 Orthographic Projection: Normal Surfaces B A

● Some object have edges which cannot be seen from certain viewing angles ● Showing these edges provides valuable graphical information ● Visible edges are continuous (solid) lines (object lines) ● Hidden edges are dashed lines (hidden lines) to avoid confusing them with visible edges Orthographic Projection: Hidden Lines

Hidden Line (Dashed lines; can't be “seen” in that view) Visible Line (Solid lines, can be seen in a given view, aka: Object Lines)

23 11 Demonstration Make an orthographic sketch, by sketching top, front and right side views of the object shown below.

● Sometimes you are asked to construct Isometric sketches from Orthographic views to develop visualization skills. ● The box method is one way to do this. ● For some problems, the box method may not be very helpful. Orthographic Projection: Isometric Sketches from Orthographic Views

1. Find the object's overall dimensions from the orthographic views and sketch that size box on isometric dot paper. Orthographic Projection: Isometric Sketches from Orthographic Views

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

3. Add/remove lines until the view is complete. Orthographic Projection: Isometric Sketches from Orthographic Views

Demonstration Make an isometric sketch from the orthographic views

In-class Exercise Draw the isometric sketch from the orthographic views shown below. For the second object, draw the isometric sketch of the coded plan, and then draw the orthographic views from the isometric sketch. Front

Computer Module – Orthographic Projections ● Complete the software module on Orthographic Projections

Orthographic Drawings Homework …  Complete the following pages in Module 4  ortho-     