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Multiviews and Visualization Auxiliary Views
Fall2005- ENGR 3200U
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Level of Education High School Student: Only study and think about what is given to him/her University/ College Student: Study and think about what is given and what is not given to him/her Graduate Student and Researcher: Only Study and think about what is not given to him/her
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Completing a Multiview You should be able to develop your own customized procedures based on the basic rule of orthographic projection
Armin Procedure is a systematic way to draw the missed view in a multiview drawing
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ARMIN Procedure- Completing the Multiview
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ARMIN Procedure- Step 1 9Draw the Blocking Lines
Top
Front
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ARMIN Procedure- Step 2 9Draw the Miter Line
Top
Front
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ARMIN Procedure- Step 3 9Label Surfaces
Top
Front
Side
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G M
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C A
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ARMIN Procedure- Step 4 9Select a surface
Top
9Identify this surface in the both views Front
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ARMIN Procedure- Step 5 9 Draw the construction lines from the vertices of the selected surface
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ARMIN Procedure- Step 6 9 Mark the intersection points of the construction lines correspondi ng to the surface vertices
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ARMIN Procedure- Step 7 9 Connect the marked points with straight lines
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ARMIN Procedure- Step 8 9 Control the obtained configuration 9 Number of edges is always similar in different views, unless you are viewing the surface on edge
99 sided planar geometry A
9Planar geometry 99 sided planar geometry A A
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ARMIN Procedure- Step 9 9 If any surface is left, go to step 4
F
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ARMIN Procedure- Result
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ARMIN Procedure- Result
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Solid Object Visualization Combinations and Negative Solids Face to face rule: A flat face of one object must joint a flat face of the other object
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Solid Object Visualization Additive & Subtractive objects
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Solid Object Visualization Using the Planar Surfaces Cutting Plane: A flat blade which is infinitely large
Oblique Cut
Normal or inclined cuts
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Solid Object Visualization Surface Development Cutting Plane on a surface of the object
Wrap or skin around the object
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Multiview Visualization Reading a drawing To develop mental 3D images of the objects from their Multiview
Important Transformation Pictorial
Multiview
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Multiview Visualization Projection Study
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Multiview Visualization Physical Model Construction Clay, Wax, Styrofoam
1) Cutting
the 3D form out of a solid block
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Multiview Visualization
1) Analysis
of solids to divide the object to its basic primitives
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Adjacent Areas Adjacent areas are surfaces which reside next to each other. Lines are the boundaries between surfaces Lines indicate change of the planes
No Tow Adjacent Areas Can Lie in the Same Plane Rule 8: Contiguous Planes No Tow contiguous areas can lie in the same plane
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Adjacent Areas
Given the top view of an object, sketch the isometric as well as multi view of three possible solutions:
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Adjacent Areas There are infinite number of solutions! For example:
Adjacent areas represent: Fall2005- ENGR 3200U
¾Surfaces at different levels ¾Inclined or Oblique Surfaces ¾Not planar Surfaces ¾A Combination of above
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Surface Labelling 1) To check the accuracy of the multiview drawing of a physical part or pictorial view 2) Step 3 of ARMIN Procedure
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Vertex Labelling 1) Additional Checking of multiview drawing
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Summary: Eight Rules of Orthographic Projection Rule 1: Alignment of Features
Every point or feature in one view must be aligned in any adjacent view
Rule 2: Distances in Related View
Distance between any to points of a feature in related views must be equal
Rule 3: True Length and Size
Features are true length or true size when the lines of sight are perpendicular to the feature
Rule 4: Foreshortening Features are foreshortened when the lines of sight are not perpendicular to the feature Fall2005- ENGR 3200U
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Summary: Eight Rules of Orthographic Projection Rule 5: Configuration of Planes Areas of the same feature will always be similar from one view to the next, unless viewed on edge
Rule 6: Edge View Parallel features will always appear parallel in all views
Rule 7: Parallel Features Surface that is parallel to the line of sight will appear on edge and be represented as line
Rule 8: Contiguous Planes No Tow contiguous areas can lie in the same plane Fall2005- ENGR 3200U
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