AXONOMETRIC PROJECTION 1 - DCG...
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A set of isometric axes is given and the horizontal trace AB of an axonometric plane has been positioned as shown. (a) Draw the traces of the axonometric plane on the XY and YZ planes. (b) Develop the three planes of reference. (c) Index the trace triangle ABC in all three views. Z X Y o b a a b c In isometric projection, the axes are equally inclined to each other 1. The trace triangle is always equilateral 2. The triangles formed on the planes of reference are isosceles and right-angled 3. axonometric plane The XY plane is the vertical plane The XZ plane is the horizontal plane The YZ plane is the end vertical plane c o, b c o, c b a b c o, a a AXONOMETRIC PROJECTION 1
Transcript of AXONOMETRIC PROJECTION 1 - DCG...
A set of isometric axes is given and the horizontal trace AB of an axonometric
plane has been positioned as shown.
(a) Draw the traces of the axonometric plane on the XY and YZ planes.
(b) Develop the three planes of reference.
(c) Index the trace triangle ABC in all three views.
Z X
Y
o
ba
a b
c
In isometric projection, the axes are equally inclined to each other1.
The trace triangle is always equilateral2.
The triangles formed on the planes of reference are isosceles and right-angled3.
axonometric plane
The XY plane is the vertical plane
The XZ plane is the horizontal plane
The YZ plane is the end vertical plane
c
o, b
c
o, c
ba
b
c
o, a
a
AXONOMETRIC PROJECTION 1
A set of dimetric axes is given and the traces of an axonometric plane ABC are shown.
The horizontal plane has been developed.
(a) Develop the vertical plane.
(b) Index the trace triangle ABC. Y
ZX
o
ab a b
c
o
In dimetric projection, two of the angles between the axes are equal1.
The trace triangle is always isosceles2.
The triangles formed on the planes of reference are right-angled; only one will be isosceles3.
ab
o, c
c
c
a
o, b
AXONOMETRIC PROJECTION 2
A photographic of a Trocaire box is shown across. It is based on an equilateral triangular prism and a square based prism. The elevation and plan of the box are given.
A set of isometric axes and the traces of an axonometric plane are drawn. The horizontal and vertical planes are developed.
(a) Draw the plan and elevation of the box so that the point P is located at the origin.
(b) Draw the isometric projection of the box.
(c) Write in the measure of the angles at A, B and C in the spaces below:
A = 15 B = 15 C = 45
YX
Z
Y
X
c
a b
o
P
P
A
B
C
AXONOMETRIC PROJECTION 3
Y
ZX
X YP
P
In trimetric projection, the angles between the axes are unequal
The trace triangle is always scalene
The triangles formed on the planes of reference are right-angled
The horizontal trace is drawn at right angles to the Y axis•
The vertical trace is drawn at right angles to the Z axis•
A photographic of a Trocaire box is shown below. It is based on an equilateral triangular prism and a square based prism. The elevation and plan of the box are given.
A set of trimetric axes is shown. The horizontal trace of the axonometric plane is also drawn.
(a) Draw the traces of the axonometric plane on the XY and YZ planes.
(b) Develop the horizontal and vertical planes of reference.
(c) Draw the plan and elevation of the box with point P at the origin.
(d) Draw the trimetric projection of the box.
AXONOMETRIC PROJECTION 4
X
Z
Y
The drawing shows a trimetric projection of a shaped solid. The traces of the axonometric plane are drawn.
The vertical and horizontal planes of reference are developed.
Draw the elevation and plan of the block in their correct positions.
The elevation is located on the vertical plane - the XY plane
The plan is located on the horizontal plane - the XZ plane
edge view of horizontal plane
edge view of vertical plane
edge view of vertical plane
edge view of end vertical plane
point view of Y axis
point view of Z axis
AXONOMETRIC PROJECTION 5
