This document discusses auxiliary views in technical drawing. Auxiliary views show inclined surfaces in their true shape and size, as they appear foreshortened in regular views. To make an auxiliary view, a plane is imagined parallel to the inclined surface. A view of this auxiliary plane from a perpendicular direction shows the true shape of the surface. The document provides step-by-step instructions for constructing auxiliary views, including using a center plane reference for symmetrical objects. It demonstrates the process with examples and concludes with a practice problem.
This lecture contains the detail of isometric projections of an object. This will improve your skills to draw isometric views which is the major part of engineering drawings.
This lecture contains the detail of isometric projections of an object. This will improve your skills to draw isometric views which is the major part of engineering drawings.
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A plane is a two dimensional object having length and breadth only. Its thickness is always neglected. Various shapes of plane figures are considered such as square, rectangle, circle, pentagon, hexagon, etc.
There are two types of planes
Perpendicular planes which have their surface perpendicular to any one of the reference planes and parallel or inclined to the other reference plane.
2. Oblique planes which have their surface inclined to both the reference planes.
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2. Introduction
With "Multiview or Three View
Projections," we learned to describe an
object with views on the three regular
planes of projection. These are the top, or
horizontal plane; the front, or vertical plane;
and the side, or profile plane. With these
planes, you can solve many graphic
problems.
3. 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.
4. AUXILIARY VIEWS ARE
"HELPER VIEWS"
When an object has inclined
surfaces, these do not show
up in true shape or size in
regular views. However, a
view on a plane parallel to
the inclined surface does
show its true size and
shape. This is an auxiliary
view. It, along with the other
regular views describe the
object better.
Regular
Views
Regular
Views
with
Auxiliary
View
5. 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.
6. Why Do We Use Them?
In the figure to the left, a simple
inclined wedge block is shown in the
regular views. In none of these views
does the slanted surface, called “A”,
appear in its true shape. In the front
view, all that shows is its edge line
MN. In the side view, which is made
by looking in the direction of arrow Y,
surface A appears, but it is fore-
shortened. Surface A is also fores-
hortened in the top view. Line MN also
appears in both views, but looking
shorter than its true length, which
shows only in the front view.
7. THE RELATIONSHIP OF AUXILIARY
VIEWS TO REGULAR VIEWS
To show Surface A in its true
shape, you need to imagine a
plane parallel to it, as in
Diagram “B”. This is called an
auxiliary plane. A view of this
plane from the direction of
arrow X, which is perpendicular
to it, will show the true size and
shape of Surface A at A1.
Looking at Diagram “C” this
auxiliary view has been
revolved (turned) to align with
the plane of the paper. By
following this method, you can
show the true size and shape
of any inclined surface.
8. 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.
9. 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).
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
17. Let’s Practice Drawing an Auxiliary
View Using the Center Plane Reference
Following the form and
dimensions given in the
drawing on the left,
demonstrate how to create
an auxiliary view using the
front and top views only.
Remember, we’re after the
true size and shape of the
inclined surface.
18. Let’s Practice Drawing
an Auxiliary View
Assignment: Following the
form and dimensions given
in the drawing on the left,
draw the auxiliary view as
shown using the front and
top views only. Remember,
we’re after the true size and
shape of the inclined surface
(the shaded area).