Architecture Chapter 7 Homework Dimension Symbol Arcs Tangent

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CHAPTER 7 DRAFTING GEOMETRY

PROBLEMS

INSTRUCTIONS

1. Problems 7.21 through 7.44 use an appropriately sized

ASME sheet with sheet blocks and complete the title block

information, unless otherwise specified by your instructor.

2. Use construction lines for all preliminary work on a construc-

tion layer. Use visible object lines for the completed problem.

Leave the construction layer on when you complete the prob-

lems, unless otherwise specified by your instructor. This

helps your instructor observe your drafting technique.

3. Geometric construction problems are presented as written

instructions, drawings, or a combination of both. If the

problems are presented as drawings without dimensions,

then transfer the drawing from the text to your drawing

sheet using 1:1 scales. Draw dimensioned problems full

scale (1:1) unless otherwise specified. Draw all object lines,

hidden lines, and centerlines. Do not draw dimensions.

Part 1: Problems 7.1 Through 7.20

PROBLEM 7.1 Draw two tangent circles with their centers on a

horizontal line. Circle 1 has a 64-mm diameter, and circle 2 has a

50-mm diameter.

PROBLEM 7.2 Make a perpendicular bisector of a horizontal

line that is 79 mm long.

PROBLEM 7.3 Make an angle 488 with one side vertical. Bisect

the angle.

PROBLEM 7.4 Divide a 96-mm line into seven equal spaces.

PROBLEM 7.5 Draw two parallel horizontal lines each 50 mm

long with one 44 mm above the other. Divide the space between

the lines into eight equal spaces.

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PROBLEM 7.6 Transfer triangle abc to a new position with

side c 45° from horizontal.

PROBLEM 7.7 Make a right triangle with one side 35 mm long

and the other side 50 mm long.

PROBLEM 7.8 Make a right triangle with the hypotenuse

75 mm long and one side 50 mm long.

PROBLEM 7.9 Make an equilateral triangle with 65-mm sides.

PROBLEM 7.10 Make a square with a distance of 50 mm

across the flats.

PROBLEM 7.11 Draw a hexagon with a distance of 2.5 in.

across the flats.

PROBLEM 7.12 Draw a hexagon with a distance of 2.5 in.

across the corners.

PROBLEM 7.13 Draw an octagon with a distance of 2.5 in.

across the flats.

PROBLEM 7.14 Draw a rectangle 50 mm 3 75 mm with

12-mm radius tangent corners.

PROBLEM 7.15 Draw two separate angles, one a 308 acute

angle and the other a 1208 obtuse angle. Then draw a .5-in. radius

arc tangent to the sides of each angle.

PROBLEM 7.16 Given the following incomplete part, draw an

inside arc with a 2.5-in. radius tangent to ØA and line B.

PROBLEM 7.17 Draw two circles with 25-mm diameters and

38 mm between centers on horizontal. On the upper side be-

tween the two circles, draw an inside radius of 44 mm. On the

lower side, draw an outside radius of 76 mm.

PROBLEM 7.18 Draw an S curve with equal radii between

points A and B given below:

PROBLEM 7.19 Draw two lines, one on each side of the ogee

curve drawn in Problem 7.18 and .5 in. away.

PROBLEM 7.20 Make an ellipse with a 38-mm minor diame-

ter and a 50-mm major diameter.

Part 2: Problems 7.21 Through 7.44

The following geometric construction problems are presented as

dimensioned drawings or engineering problems. Draw dimen-

sioned problems full scale (1:1) on an appropriately sized sheet

with border and title block, unless otherwise specified by your

instructor. Draw all object, hidden, and centerlines. Do not draw

dimensions. Properly complete the information in the title block.

PROBLEM 7.21 Circles, corner arcs, and tangencies (in.)

Part Name: Plate Spacer

Material: .250 thick aluminum

6.25

8.88

6.88

4X Ø1.062

R1.00

4.25

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PROBLEM 7.22 Circles (in.)

Part Name: Flange

Material: .50 thick cast iron (CI)

PROBLEM 7.23 Circle, arcs, and tangencies (in.)

Part Name: Connector

Material: .25-in. thick steel

2.76

29 5/8

2.77

PROBLEM 7.24 Arc tangencies (metric)

Part Name: Plate

Material: 10-mm thick HC-112

Used as a spacer to separate electronic components in a com-

puter chassis.

140

R22

R60

650

285

302

560

ARCS TANGENT

430

PROBLEM 7.25 Circle, arc, and tangencies (in.)

Part Name: Bogie Lock

Material: .25-in. thick mild steel (MS)

Ø1 25/32

4 3/4

9 1/2

PROBLEM 7.26 Arcs and tangencies (in.)

Part Name: Plate

Material: .125-in. thick aluminum

4X R3 3/4

4X R5 3/4

(17 1/2)

REFERENCE

DIMENSION SYMBOL

13 1/2

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PROBLEM 7.28 Arcs, centerlines, and hidden lines (in.)

Part Name: Tube

Material: Copper

Outside Diameter: .75

Wall Thickness: .016

7.50

R .50

R 1.50

2.875

458

908

Ø.781

PROBLEM 7.29 Circles, arcs, and tangencies (in.)

Part Name: Gasket

Material: .062-in. thick Neoprene

9 1/2

13 3/4

2 3/4

3 3/16

2 7/8

Ø1 3/16

4X R1 1/4

3X Ø1 1/16

7 5/8

12 1/2 2X

11 3/8

7 5/8

PROBLEM 7.27 Arcs and tangencies (in.)

Part Name: Flat Spring

Material: 26 gauge X .50 SAE 1085

1.195

8.701

2.754

3.199

2.988

2X R.844

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PROBLEM 7.30 Circle, arc, and tangencies (metric)

Part Name: Coupler

Material: SAE 1040

133

182

Ø 50

Ø 70

PROBLEM 7.31 Circles, arcs, and tangencies (in.)

Part Name: Hanger

Material: Mild steel

2.30

R.80

2.12

2X Ø .58

Ø2.00

Ø1.125

PROBLEM 7.32 Circles, arcs, and tangencies (in.)

Part Name: Bracket

Material: Aluminum

R1.30

2.10

4.20

R.80

Ø1.25

2X Ø.75

PROBLEM 7.33 Arcs and tangencies (in.)

Part Name: Gusset

Material: .250 thick aluminum

Courtesy TEMCO

10.593

4X R.281

2X .562 R7.062

5.937

4.750

10.812

6.231

6.687 6.968

1.562

PROBLEM 7.34 Arcs, circles, and tangencies (in.)

Part Name: Pivot Arm

Material: Aluminum

Ø1.000

1.250

9.000

3.500

Ø4.25

Ø2.750

3.000

Ø2.13

2X R

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PROBLEM 7.35 Arcs and angles (metric)

Part Name: Support Brace

Material: .125-in. thick copper

R10 R14

158

R15

R10

458

PROBLEM 7.36 Arcs, circles, and tangencies (in.)

Part Name: Gasket

Material: .0625-in. thick bronze

R.75

R.50

R.75 R.75

1.00 1.88 2.25 .50

.87

4X Ø.50 2X Ø.38

1.50

1.38

R.50

R.25

2X R.50

1.75

PROBLEM 7.37 Circles, arcs, and tangencies (metric)

Part Name: Gasket

Material: .06-in. thick cork

R 3

Ø25.5

Ø40

Ø57

Ø71.5

Ø68

2142.5

38°

28°

6X R7.5

6X Ø7

2X R7

PROBLEM 7.38 Multiviews (two views), circles, arcs, and

tangencies (in.)

Part Name: Bracket

Material: Cast iron

R.46

.100

Ø.50

.625

1.22

R.63

DRILL END ANGLE 1208

DEPTH

SYMBOL

.200

.43

1.06

Ø.35 THRU

1.54

PROBLEM 7.39 Ogee curve and arcs (in.)

Part Name: Wrench

Material: .25-in. thick cast iron

Fillets and rounds: R.125

2X R.60

2X R.55

.375

.65

.64

.62 4.12

.58

R3.00

R2.25

.63

.76

3.24

2X R1.18

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PROBLEM 7.40 Ogee curve, hexagon, and arcs (in.)

Part Name: Wrench

Material: .25-in. thick cast iron

Fillets and rounds R.125

2.375

.35 Ø.625

R1.40

1.313

R1.40

2X 608

R.31

.20

PROBLEM 7.41 Arc tangencies (in.)

Part Name: Hammer Head

Material: Cast iron

Establish unknown dimensions to your own specifications.

R1.600

R.400

R.300

2X R

.175

PROBLEM 7.42 Multiview and hexagon (in.)

Part Name: Sleeve

Material: Bronze

Draw only the view with the hexagon and circles.

Note: This engineer’s sketch shows dimensions to hidden fea-

tures, which is not a standard practice.

PROBLEM 7.43 Hexagons and pentagons (in.)

Part Name: Gasket

Material: .06-in. thick brass

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PROBLEM 7.44 Design problem

Part Name: Sailboat

Design the sailboat to your own specifications using the tech-

niques discussed in this chapter.

MATH PROBLEMS

Part 3: Problems 7.45 Through 7.50

For Problems 7.45 through 7.50, find the interior angles of these

types of regular polygons:

PROBLEM 7.45 Octagon.

PROBLEM 7.46 Equilateral triangle.

PROBLEM 7.47 Pentagon (5 sides).

PROBLEM 7.48 Decagon (10 sides).

PROBLEM 7.49 Square.

PROBLEM 7.50 How many sides does a regular polygon have

if its interior angle is 1408?

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Chapter 7

Drafting Geometry

Solutions to End-of- Chapter Problems

Part 1: Problems 7.1 Through 7.20

PROBLEM 7.1

PROBLEM 7.2

29

PROBLEM 7.4

PROBLEM 7.5

PROBLEM 7.6

PROBLEM 7.7

30

PROBLEM 7.8

PROBLEM 7.9

PROBLEM 7.10

PROBLEM 7.11

31

PROBLEM 7.12

PROBLEM 7.13

PROBLEM 7.14