1 example of auxiliary view. 2 projections including auxiliary view
TRANSCRIPT
1
Example of auxiliary view
2
Projections including auxiliary view
3
Primary auxiliary view (on a plane perpendicular to one of the principle planes)
FRONT
TOP
AUXILIARY PLANE
FV
TV
SV
PRIMARY AUXILIARY
VIEW
Exact dimensions and shape can be seen without any calculations
Plane is rotated about the line of intersection
Fold line,Reference line, Reference axis
Q. Auxiliary plane is perpendicular to which principal plane and at an angle (other than 90o) to which principal plane ?
4
AUXILIARY VERTICAL PLANE(AVP)- (perpendicular to HP, at an angle to VP)
AVP
Auxiliary Vertical Plane
AVP
HP
VP
VP
HP
A
a
a’a1’
a
a’
a1’
oo1
Procedure for drawing auxiliary view
•Draw x1y1 at an angle to xy
•Draw aa1’ perpendicular to x1y1 such that a1’o1 = a’o
x yx1
y1
oo1
a’o = a1’o1
Auxiliary Front ViewAuxiliary Front View
x1y1
x
y
5
AUXILIARY INCLINED PLANE (AIP)- perpendicular to VP and inclined to HP
HP
VPA
a
a’
o
AIP
o1
a1’
90O
VP
HP
a
a’
o
o1
x yx1
a1’
y1
a1o1 = ao
Procedure for projecting A on AIP:
•Draw front and top view a’ and a respectively
•Draw x1y1 such that it makes an angle with xy
•Project a1’ on AIP by drawing a line a’a1’ such that a’a1’ is perpendicular to x1y1 and a1’o1 = ao
AIP
Auxiliary Top View
Auxiliary Top View
x1
y1
6
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)
FRONT
TOP
FV
TV
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
A
a
a’
a1
a1
a’
a
o
o1 o o1
A line drawn parallel to the edges will join the two projected points a’ and a1
PROJECTIONS OF PT. A
AUXILIARY
AIP
7
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
T
F
X
Y
Z1020304050
1020304050
60o
45oO
b’c’
a’b
c
aa1’
c1’
b1’
a1
c1
b1x1
y1
x2
y2
Distance of a1 from x1y1 = distance of a from OZ
Distance of b1 from x1y1 = distance of b from OZ
Distance of c1 from x1y1 = distance of c from OZ
Distance of a1’ from x2y2 = distance of a’ from OZ
Distance of b1’ from x2y2 = distance of b’ from OZ
Distance of c1’ from x2y2 = distance of c’ from OZ
2010 50
8
Projection of a cuboid on 2 auxiliary planes
a, e b, f
d, h c, g
b’, c’a’, d’
e’, h’ f’, g’
f1
b1
e1
a1
d1
c1
g1
h1
x yy1
c2
g2
e2
a2
b2
f2
d2
h2
x1
TV
FV
The figure shows the front view and top view of a cuboid
From these views, the auxiliary views are drawn on 2 planes:
i) Perpendicular to the top plane and at an angle to the frontal plane,
ii) perpendicular to the frontal plane and at an angle to the top plane
X2y2 is the junction line of plane perpendicular to the horizontal plane and the horizontal plane, hence drawn in the top view
X1y1 is the junction line of the plane perpendicular to the front view and the front view, hence drawn in the front view
x2
y2
Fold line
Viewing direction
Viewing direction
SECONDARY AUXILIARY VIEW
Required when the plane of view is oblique or not perpendicular to any of the principal planes.
First draw front and top views.
A primary auxiliary view is drawn first (which is perpendicular to one of the principal planes) with the view in a suitable direction.
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.
T 1
c1
a1
b1d1
o1
c
a
d
o’
d’a’
b
c’b’
o
b2
d2
a2
c2o2
Given Top and Front views of a square pyramid. Obtain a view of the pyramid with edge oc viewed as a point.
TF
1 2
-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
Primary auxiliary view (PAV)
Secondary auxiliary view (SAV)
NOTE
All outermost lines or curves of a view are visible (solid).
Lines and curves joining the point closest to the axis in the previous view will be visible (solid)
Rest of the lines and curves may or may not be hidden (drawn dashed)
Distances:
Primary auxiliary view
e1, f1, a1, b1 from x1y1 = e, f, a, b from xy
h1, g1, d1, c1 from x1y1 = h, g, d, c from xy
respectively
Secondary auxiliary viewe’, f’, a’, b’ from x1y1 = e2, f2, a2, b2 from x2y2
h’, g’, d’, c’ from x1y1 = h2, g2, d2, c2 from x2y2
respectively
Secondary auxiliary view of a cubePA plane at 45o to Front and perpendicular to Top. SA plane is 60o to Top and perpendicular to PAP
Direction of view is perpendicular to the fold line
e’,h’ f’, g’
a’, d’ b’, c’
a, e
d, h c, g
b, f
45o
xy
x1
y1
60o
x 2
y 2
f1, a1
g1, d1
e1
h1
b1
c1
a2
f2
d2
g2
c2
e2b2
h2
TV
FV