auxiliary views - simon fraser university
TRANSCRIPT
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Auxiliary Views
October 11, 2017
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Learning Objectives
Understand the need for aux. views
Describe the differences between partial and full aux.
Create an aux. view
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Multiview Drawings Recap
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Introduction
With "Multiview or Three View Projections,"we learned to describe an object with views onthe three regular planes of projection. These arethe top, or horizontal plane; the front, or verticalplane; and the side, or profile plane. With theseplanes, you can solve many graphic problems.
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Introduction (Con’t)
However, to solve problems involving inclined (slanted)
surfaces, you will need to learn to draw views on auxiliary
(additional) planes of projection. These are called auxiliary
views. In this lesson we will explore how to draw these
views on planes that are parallel to the inclined surfaces.
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AUXILIARY VIEWS ARE "HELPER VIEWS"
When an object has inclinedsurfaces, these do not show upin true shape or size in regularviews.
However, a view on a planeparallel to the inclined surfacedoes show its true size andshape.
This is an auxiliary view. It,along with the other regularviews describe the objectbetter.
Regular
Views
Regular
Views
with
Auxiliary
View
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Why Do We Use Them?
An auxiliary view is a projection on an auxiliary plane
that is parallel to an inclined (slanting) surface.
It is a view looking directly at the inclined surface in a
direction perpendicular to it.
Auxiliary projections are important for describing the
true geometric shapes of inclined surfaces.
You also use them for dimensioning these shapes.
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Why Do We Use Them?
In the figure to the left, a simple inclinedwedge block is shown in the regularviews. In none of these views does theslanted surface, called “A”, appear in itstrue shape.
In the front view, all that shows is its edgeline MN. In the side view, which is madeby looking in the direction of arrow Y,surface A appears, but it is fore-shortened.
Surface A is also foreshortened in the topview. Line MN also appears in bothviews, but looking shorter than its truelength, which shows only in the frontview.
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THE RELATIONSHIP OF AUXILIARY VIEWS TO REGULAR VIEWS
To show Surface A in its true shape,you need to imagine a plane parallel toit, as in Diagram “B”. This is called anauxiliary plane.
A view of this plane from thedirection of arrow X, which isperpendicular to it, will show the truesize and shape of Surface A at A1.
Looking at Diagram “C” thisauxiliary view has been revolved(turned) to align with the plane of thepaper.
By following this method, you canshow the true size and shape of anyinclined surface.
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Step by Step Directions for Making Auxiliary Views
A. Examine the views that are given for an inclined surface.
B. Find the line that is considered the edge view of the inclined plane.
C. In the front view, draw a light construction line at right angles to the
inclined surface. This is the line of sight.
D. Think of the auxiliary plane as being attached by hinges to the front
(vertical) plane from which it is developed.
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Step by Step Directions for Making Auxiliary Views
E. From all points labeled on the front view, draw projection lines at right angles to the inclined surface (parallel to the line of sight)
F. Draw a reference line parallel to the edge view of the inclined surface and at a convenient distance from it.
G. Transfer the depth dimension, which in this case is the primary reference, to the reference line as shown.
H. Project the labeled points and connect them in sequence to form the auxiliary view. The points used to identify the shape are for solving difficult problems (instructional purposes).
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How to Draw an Auxiliary View Using the Center Plane Reference
In diagram A, (to the left) the
object is shown in a pictorial
view.
Because the object is
symmetrical, you use a center
plane as a reference plane, to
make the auxiliary view using
the following steps.
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How to Draw an Auxiliary View Using the Center Plane Reference
Diagram B shows you use a center plane as a reference plane, (center plane construction).
The edge view of this plane appears as a centerline, line XY, on the top view.
Number the intersection points on the top view.
Then transfer these numbers to the edge view of the inclined surface on the front view, as shown.
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How to Draw an Auxiliary View Using the Center Plane Reference
Parallel to this edge view of the angled surface and at a convenient distance from it, draw the line X'Y', as shown in Diagram C to the left.
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How to Draw an Auxiliary View Using the Center Plane Reference
Now, in the top view, find the
distances (D1 & D2) from the
numbered points to the
centerline. These are the depth
measurement. Transfer them
onto the corresponding
construction lines (gold color)
that you have just drawn,
measuring them off on either
side of line X’Y’ as shown in
Diagram D.
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How to Draw an Auxiliary View Using the Center Plane Reference
Connect and number these points as in Diagram E and you will have the auxiliary view of the inclined surface. Now let’s watch it done all together along with how its done with an ellipse.
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Auxiliary ViewCenter-Plane Reference Method
Copyright © 2003 Glencoe/McGraw-Hill
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Auxiliary View of an Ellipse
Copyright © 2003 Glencoe/McGraw-Hill
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How to create an Aux View
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Partial Aux Views
Don’t show other features
Easier to draw
Easier to understand
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Types of Auxiliary Views Primary Auxiliary View: projection from one of the six
principle views
Secondary Auxiliary View: projected from a primary
auxiliary view
Tertiary Auxiliary View: projected from a secondary or
another tertiary auxiliary view
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Depth Aux Views
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Height Aux View
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Width Aux View
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Creating an Aux View
?
? ?
What is the true shape and
size of the inclined face?
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Creating an Aux View (2)Steps
1) Label points
A
A
A
B
B
, B
D
DD ,
C
CC
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Creating an Aux View (3)
Steps
1) Label points
2) Create fold line
A
A
A
B
B
, B
D
DD ,
C
CC
F1
Line of sight
(LOS)
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Creating an Aux View (4)
Steps
1) Label points
2) Create fold line
3) Create other fold
lines
4) Put in projectorsA
A
A
B
B
, B
D
DD ,
C
CC
F1
H
F
F P
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Creating an Aux View (5)
Steps
1) Label points
2) Create fold line
3) Create other fold
lines
4) Put in projectors
5) Transfer
measurements
A
A
A
B
B
, B
D
DD ,
C
CC
F1
H
F
F P
A
D
B
C
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Creating an Aux View (6)
Steps
1) Label points
2) Create fold line
3) Create other fold
lines
4) Put in projectors
5) Transfer
measurements
6) Connect points
A
A
A
B
B
, B
D
DD ,
C
CC
F1
H
F
F P
A
D
B
C
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Creating an Aux View (6)
Steps
1) Label points
2) Create fold line
3) Create other fold
lines
4) Put in projectors
5) Transfer
measurements
6) Connect points
A
A
A
B
B
, B
D
DD ,
C
CC
F1
H
F
F P
A
D
B
C