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Example of auxiliary view

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Example of auxiliary view
1
Projections including auxiliary view
2
Primary auxiliary view (on a plane perpendicular
to one of the principle planes)
TV
AUXILIARY PLANE
Fold line,
Reference line,
Reference axis
PRIMARY
AUXILIARY
VIEW
FV
SV
Exact dimensions and shape can be
seen without any calculations
Plane is rotated about
the line of intersection
Q. Auxiliary plane is perpendicular to which
principal plane and at an angle (other than
3
90o) to which principal plane ?
AUXILIARY VERTICAL PLANE
(AVP)- (perpendicular to HP, at an angle to VP)
Auxiliary Front View
Auxiliary Front View
Auxiliary Vertical Plane
a1’ AVP
a’
A
x1
o
a’
VP
a’o = a1’o1
a1 ’
y
a
o1
x
o
o1 a
a
Procedure for drawing auxiliary view
•Draw x1y1 at an angle a to xy
y
a
HP
•Draw aa1’ perpendicular to x1y1 such
that a1’o1 = a’o
4
AUXILIARY INCLINED PLANE (AIP)- perpendicular to
VP and inclined to HP
Auxiliary Top View
a1o1 =
o1
a’
A
ao
b
a1 ’
x
b
o1
y
o
a1 ’
o
90O
VP
a’
a
a
Procedure for projecting A on AIP:
•Draw front and top view a’ and a respectively
HP
Auxiliary Top View
•Draw x1y1 such that it makes an angle b with xy
•Project a1’ on AIP by drawing a line a’a1’ such that a’a1’ is
perpendicular to x1y1 and a1’o1 = ao
5
PROJECTIONS OF PT. A
Lines with same color have the same length
When 2 planes are perpendicular to the same third plane the
distances of the projection of a point from the reference line
(junction line) of 1st. 2 planes is the same
TV
a
o
a1
A
a’
o1
o
FV
A line drawn parallel to the edges will join
the two projected points a’ and a1
AIP
a’
o1
a1
a
Distances Aa (point to front view)= a’o (in top view which is
perpendicular to front view)= a1’o1 (in auxiliary view, which is also
perpendicular to front view)
6
Draw the auxiliary view of a plane ABC on a plane which is perpendicular to the frontal plane and
inclined at an angle of 45o to the top plane. Draw another auxiliary view on a plane which is
perpendicular to the top plane and inclined at an angle 60o to the frontal plane. Given
A(50,10,30), B(10,40,0), C(10,30,50)
USE III rd ANGLE
Distance of a1 from x1y1 = distance of a from OZ
x2
X
Distance of b1 from x1y1 = distance of b from OZ
a1 ’
T
b1’
a
Distance of a1’ from x2y2 = distance of a’ from OZ
50
40
O
10
20
30
40
50
Y
c
60o
b
10 20
a’
50
Distance of b1’ from x2y2 = distance of b’ from OZ
c1’
30
20
10
Distance of c1 from x1y1 = distance of c from OZ
45o
Distance of c1’ from x2y2 = distance of c’ from OZ
y2
Z
y1
c’c
1
b’
F
a1
x1
b1
7
Projection of a cuboid on 2 auxiliary planes
Fold line
TV
y2
h1
e1
f1
a1
e’, h’
x
FV
a’, d’
b1
Viewing direction
f’, g’
b’, c’ a
x2 y1
b
a, e
g1
d1
c1
b, f
y
f2
c2
x1
i) Perpendicular to the top plane and
at an angle a to the frontal plane,
ii) perpendicular to the frontal plane
and at an angle b to the top plane
and the horizontal plane, hence drawn
in the top view
a2
c, g
From these views, the auxiliary views
are drawn on 2 planes:
X2y2 is the junction line of plane
Viewing direction perpendicular
to the horizontal plane
b2
d, h
The figure shows the front view and
top view of a cuboid
e2
d2
g2
h2
X1y1 is the junction line of the plane
perpendicular to the front view and the
front view, hence drawn in the front
view
8
SECONDARY AUXILIARY VIEW
пЃ± Required when the plane of view is oblique or not
perpendicular to any of the principal planes.
пЃ± First draw front and top views.
пЃ± A primary auxiliary view is drawn first (which is perpendicular
to one of the principal planes) with the view in a suitable
direction.
пЃ± A secondary auxiliary view is drawn on a plane that is
perpendicular to the primary auxiliary view at an angle such
that the appropriate view of the required feature is obtained.
a2
Primary
auxiliary view
(PAV)
a1
d2
b2
b1d1
c2o2
c1
Secondary
auxiliary view
(SAV)
o1
a
o
d
1 2
b
T 1
c
T
F
o’
Given Top and Front views of a square
pyramid. Obtain a view of the pyramid with
edge oc viewed as a point.
-Axis for PAV is parallel to oc in the Top view.
-Axis for SAV is perpendicular to c1o1.
-o1c1 is the True Length. c2o2 overlap in the secondary
auxiliary view
d’a’
c’b’
NOTE
пЃ±All outermost lines or curves of a view are
visible (solid).
пЃ±Lines and curves joining the point closest to
the axis in the previous view will be visible
(solid)
пЃ±Rest of the lines and curves may or may not
be hidden (drawn dashed)
Secondary auxiliary view of a cube
PA plane at 45o to Front and perpendicular to Top. SA plane is 60o to Top and perpendicular to PAP
Distances:
Primary auxiliary view
h1
e1, f1, a1, b1 from x1y1 = e, f, a, b from xy
g1, d1
e1
e’,h’
h1, g1, d1, c1 from x1y1 = h, g, d, c from xy
c1
f1, a1
f’, g’
Secondary auxiliary view
e’, f’, a’, b’ from x1y1 = e2, f2, a2, b2 from x2y2
h’, g’, d’, c’ from x1y1 = h2, g2, d2, c2 from x2y2
b1
TV
45o
a’, d’
x
a, e
b’, c’
y
respectively
respectively
60o
g2
f2
b, f
Direction of view is
perpendicular to the fold line
c2
h2
FV
e2
d, h
b2
d2
c, g
a2
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