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Auxiliary Views. Engineering II. Objective. To understand how to generate views that show inclined and oblique surfaces in true shape in multiview drawings To better understand the manipulation of 3-D objects using successive 90 degree rotations in preparation for solid modeling. Outline.
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Auxiliary Views Engineering II
Objective • To understand how to generate views that show inclined and oblique surfaces in true shape in multiview drawings • To better understand the manipulation of 3-D objects using successive 90 degree rotations in preparation for solid modeling
Outline • Definition and Use • Fold Line Method • Primary Auxiliary Views • Review of descriptive geometry • Example: Inclined surface
Auxiliary Vs. Principle Views • Principle planes • Horizontal (Top and bottom view) • Frontal (Front and back view) • Profile (Left and right side view) • Auxiliary views • Definition: An orthographic view that is projected into a plane that is not parallel to any of the principle planes • Purpose: To show the true shape of a detail that does not lie in on of the principle planes
Review: Fold Line Method • A fold line (hinge) may be placed between adjacent views to aid in the construction and interpretation of multiview drawings • Projection lines are always perpendicular to fold lines • The distance from a fold line to any specific point on an object is the same for any related views (ex. top and side view) • Fold lines represent a 90 degree rotation in viewpoint
Example: Fold Line Method • Distances from the fold line in View A are equal to the distance from the fold line in View C • Follow projection lines to keep track of vertices • Use offset when creating View C from View A & B • Note that the projection lines are always perpendicular to fold lines.
Primary Auxiliary View • Definition: Any view that is projected from (adjacent to) one of the principle views and which is not parallel to any of the principle planes • A primary auxiliary view is perpendicular to only one of the principle planes • Any inclined surface may be shown in true shape in the appropriate primary auxiliary view • If the fold line for an auxiliary view is parallel to the edge view of an inclined surface the inclined surface will appear in true shape in the auxiliary view
Example: Primary Auxiliary Views • Use the UCS command to rotate about the Z axis and align the x axis up with the inclined surface • Project perpendicular projection lines from the inclined surface (ORTHO) • Determine the depth of each point from related views (OFFSET) • Use DDOSNAP to quickly select features
Projection Planes • A fold line represents the projection plane for the adjacent view • A line appears true length if it lies in a plane parallel to the projection plane • A line which is not parallel to the projection plane appears foreshortened • A line which is perpendicular to the projection plane appears as a point
Lines • A line which is parallel to a fold line will appear true length in the adjacent view • A true length line which is perpendicular to a fold line will appear as a point in the adjacent view • Line 1-3 is parallel to the fold line in the right side view and true length line in the front view • Line 1-2 is true length in the right side view and is a point in the front view
Lines • All views adjacent to a point view of a line will show the line in true length • A line which does not appear true length in any of the principle views is called an oblique line
Surfaces • A Surface appears in “true shape” (undistorted) if it is parallel to the projection plane • A surface appears as an edge parallel to the fold line in all views adjacent to the true shape view of the surface • If any line on a surface appears as a point then the surface will appear as an edge • A surface which does not appear as an edge in any of the principle views is called an oblique surface
Memorize These Statements Before The Quiz • A fold line that is parallel to a line gives a view that shows the “true length” of the line • A fold line that is perpendicular to a “true length” line on a surface gives a view that shows the surface as an edge. • A fold line that is parallel to the edge view of a surface gives a view that shows the “true shape”
Helpful Visualization Tools • Label surfaces • Label vertices - List nearest vertex first at each location (1,2) • Follow construction lines to determine location • Equal number of sides - A surface with 3 sides will have three sides in every view • Parallel edges - If lines are parallel in one view they will be parallel in every view