David Anderson Gill & Macmillan

122 Pages·2014·4.46 MB·English

One Volume Edition
David Anderson
One Volume Edition
A3 and A4 Online Worksheets
Ideal as homework exercises
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David Anderson
Will save students time as the problems are already set up on the page
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Worksheets are referenced in the text
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The material covered in the worksheets closely matches the material
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covered in the text
Sheets are laid out to allow space for the student’s solutions
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Many of the sheets also contain CAD generated 3-D representations of
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the solution
Gill & Macmillan
Gill & Macmillan
Auxiliary Elevations
Sheet 1.1
The drawing shows the plan of a cylinder resting on the horizontal plane.
x y
The cylinder has been cut by a simply inclined plane. Project the elevation. A pictorial drawing of an object is shown.
Draw a new elevation that will show the true shape of the cut surface.
Given the plan and elevation of this object project a new elevation of the
35 R solid that will show the true shape of surface A.
100
7 A
8 6 R
10
9 5
Ø60
y
1
10 4
11 3 x
1
A02.17 -
12 2
x 1 y
n
o Front Elevation
ati
v
Ele Au
xiliary xiliary
Au A Ele
v
ati
o
n
Front Elevation
W1.2
90° y
1
x
1
Plan Plan
W1.3
W1.4
Auxiliary Plan
Sheet 1.2
S
The elevation and plan of a cylinder which has been cut by a simply inclined plane are shown.
(i) Project an end elevation of the cylinder.
The elevation and plan of a shaped solid are shown.
(ii) Project a new plan of the cylinder that will show the true shape of the cut surface.
R
(i) Project an end elevation of the solid.
R
(ii) Construct an auxiliary plan of the solid that will
show the true shape of surface S.
Truncated cylinder
y
x
Front Elevation End Elevation
y
x 0 1
x 1
Front Elevation End Elevation
2
W1.7
S
y
3 d 1
90°
c
b
Plan a
x
Plan y1 1
Auxiliary Plan
Auxiliary Plan
W1.8
W1.6
True Shapes
An equilateral prism has been cut as shown. A hexagonal-based pyramid has been cut by a plane. Three points, 1, 2
and 3, are given.
(i) Use an auxiliary elevation to fi nd an edge view of the cut surface.
Sheet 1.3 (i) Using the three given points fi nd an auxiliary elevation which shows
(ii) Using a second auxiliary plan project a view of the solid to show the true shape of cut surface A.
the cut surface as an edge view.
(ii) Hence determine the remaining points on the cut surface and
complete the elevation and plan.
(iii) Find the true shape of the cut surface.
3
x
1
1
2
1 1 x Elevation y
90°
2 2
2
y
A 1
A
Level line
s
t 1
3
3 3
x End Elevation Front Elevation y
Plan
2
h t
gt
n
e
e l
u
Tr
3
s
1
W1.11
W1.9
Solids in Contact
Sheet 3.1
The diagram shows the plan of a rectangular-based pyramid of 55 mm height. A
sphere of 20 mm radius is in contact with the horizontal plane and the pyramid.
Also shown is a point P on the surface of the pyramid.
(i) Draw the elevation and plan of the two solids showing the point of contact.
(ii) Show the plan and elevation of a sphere that rests on the horizontal plane
and is in contact with the pyramid at point P.
x y
30º
0
5
8
1
P
R20
60
x y
A04.35 -
p
W3.3
Solids in Contact
The elevation of a sphere S is shown with two points on its surface, points P and Q.
(i) Draw the plan and elevation of the sphere and points.
Sheet 3.2
(ii) Draw the plan and elevation of a sphere of radius 25 mm that has point P as
its point of contact with sphere S.
(iii) Draw the plan and elevation of a sphere of radius 11 mm that has point Q as
its point of contact with sphere S.
20
8
3
R
P
11
P
20
S
Q
Q
18
x y
x y
W3.4
W3.6
Solids in Contact
35
A
Sheet 3.3
B
Ø60
The diagram shows the elevation of a cone A and two spheres B and C.
The three solids are in contact.
C
(i) Draw the given elevation and project a plan.
Ø50
(ii) Show the points of contact in both views.
25
x y
Ø100
A04.50 -
x y
W3.9
Solids in Contact x y
The diagram shows the plan of a right cone A in contact with The plan of a cylinder A and a cone B of altitude 60 mm are shown.
a sphere B. The cone’s altitude is 55 mm. Both solids rest on Both solids rest on the horizontal plane and are in mutual contact.
the horizontal plane. The position of a point P on the cone’s
Sheet 3.4 surface is also given. (i) Draw the plan and elevation of the two solids and show the B
point of contact. A Ø58
(i) Draw the cone A and sphere B in plan and elevation
showing the point of contact. (ii) A sphere C rests on the horizontal plane and is in contact with
90
the cone B and the cylinder A. Sphere C has a radius of 15 mm.
x y (ii) Locate point P in elevation.
Project the views of this solid and show all points of contact.
(iii) Another sphere C is placed on the horizontal plane and is
in contact with cone A at the point P. Draw this sphere in
A plan and elevation.
R40
Ø66
45º
25
P
B
R20
20
A04.46 -
A04.31 -
x y
x y
Elevation B
A
p
W3.15
W3.11
Isometric Projection
Sheet 5.1
28
R 2 7
R
46
Elevation
0
4
R R 2 8 W
1 2 3 4 5 6 7
30 Fullsize portions of the elevation and plan.
Isometric View
70 32
Plan
A06.19a -
W5.3
W5.2
Isometric Projection
Sheet 5.2
19
The plan and elevation of a shaped solid are shown.
50 Complete the full-sized plan and use this to help
produce an isometric view of the solid.
31
14 14
14
28
14
Elevation
10º
56
26
4
4
40
4
2
7 6 5 4 3 2 1
54 40
Plan
Isometric View
A06.18a -
Full-size plan
W5.6
W5.5