Draw the given top and front views, construct true-shape views of the two inclined surfaces
Reference line 1-4
parallel to edge
view of ABCD
1
4
d1c1
a1b1
1
§
2
§
a2
✓
a4
d4
TS
ABCD
✓
d2
c4
b4
b2
c2
436-105 Tutorial 3
11.1(6) i
Draw the given top and front views, and construct true-shape views of the two inclined surfaces
f1
e1
✓
d1
a1
1
2
TS
ADEF
§
a2f2
§
✓
d2e2
2
5
Reference line 1-5
parallel to edge
view of ADEF
436-105 Tutorial 3
11.1(6) ii
Find the true length of line AB. Use both the auxiliary view and rotation methods.
b4
Primary auxiliary plane 4
parallel to line AB
(i.e., ref. 2-4 // a2b2)
TL
✓
✓
b3
b2
a4
a3
4
TL
a2
2
a2r
Alternative method:
rotate line AB about
horizontal axis
through B until it is
parallel to plane 3
a3r
2 3
436-105 Tutorial 3
12.8(a)
Complete the front and profile views of the line ED, given that its true length is 60 mm, and E is below D
1
d1
1
Solution steps (NB assume TL = 60 mm):
4
¶
e1
§
2
+ d4
§
✓
✓
TL
+d
¶
2
+
e2
e4 +
+
e3
2 3
d
+ 3
• project horiz. from e3 and vert. from e1
to find e2
• place aux. vert. plane 4 // ED
(i.e. ref. 1-4 // e1d1)
• project from e1 and d1 ⊥ ref. 1-4
• locate e4 distance ✓ from ref. 1-4
(obtained from related view 2)
• draw arc from e4 with radius = 60 mm
(because ED seen in TL in view 4) to
locate d4 on projector from d1
• locate d2 distance § below ref. 1-2
(obtained from related view 4)
• project horiz. from d2 to view 3
• locate d3 distance ¶ from ref. 2-3
(obtained from related view 1)
436-105 Tutorial 3
12.9(c)
a1
Construct an edge view of the plane ABC
c1
1
TL
b1
1
2
4
c4
edge view of ABC
c1
‡
‡
a2
b2
b4a4
Solution method:
• AB is seen in TL in view 1 (a2b2 // ref. 1-2)
• place auxiliary plane 4 perpendicular to AB
(ref. 1-4 ⊥ a1b1)
• project onto plane 4
• locate a4 and b4 distance ‡ from ref. 1-4
(obtained from related view 2)
• locate c4 similarly
• then line AB seen as a point, and plane ABC as a line
436-105 Tutorial 3
12.12(a)
a1
+
o1p1
Solution method:
• cable AB is horizontal: a1b1 is TL view
• place auxiliary plane 4 perpendicular to AB
(ref. 1-4 ⊥ a1b1)
• project A, B, O, P onto plane 4
(distances from ref. 1-4 equal vertical depths
in related view 1)
1
4
TL
o4
b1
p4
z1
1
2
TL
o2
true angle
to ground
a2
b2
z2
p2
b4a4
3m
z4
Find TL and angle of guy
wire OZ to ground which
clears cable AB by 3 m
• AB is seen as a point in view 4
• draw clearance circle of radius 3 m
• draw o4z4 tangent to clearance circle;
OZ is seen in TL in view 4 (minimum
length)
• project from z4 back to view 1
• draw o1z1 // ref. 1-4 (OZ is parallel to
plane 4)
• project vertically from z1 to locate z2 at
ground level
436-105 Tutorial 3
Extension problem