15
Copyright © 2017 Cengage Learning® . All Rights Reserved. May not be scanned, copied, or duplicated, or posted to a publicly accessible website, in whole or in part. Chapter Tests and Problems CHAPTER 10 DIMENSIONING AND TOLERANCING TEST INSTRUCTIONS Answer the questions with short, complete statements or draw- ings as needed. QUESTIONS 1. Name two classifications of dimensions. 2. Identify and describe two types of notes. 3. Define unidirectional dimensioning. 4. Specify the ASME document that governs the standard for dimensioning and tolerancing. 5. Define the following terms; examples can be used if appro- priate: actual size; bilateral tolerance; dimension; feature; limits of dimension; specified dimension; tolerance; unilat- eral tolerance. 6. What are the recommended standard units of linear mea- surements on engineering documents? 7. When all dimensions are metric, what is the general note that should accompany the drawing? 8. Give the standard height of dimension text. 9. How should the decimal in numerals be treated? 10. Should all of the dimension arrowheads on a drawing be the same size? 11. What is the recommended length-to-height ratio of arrowheads? 12. Discuss proper dimension line spacing. 13. Identify a possible disadvantage of chain dimensioning. 14. Describe baseline dimensioning. 15. How are notes for holes dimensioned on an engineering document? 16. Describe how holes are located. 17. Define maximum material condition (MMC). 18. Define least material condition (LMC). 19. Describe a clearance fit. 20. Describe running and sliding fits (RC), locational fits (LC, LT, LN), and force fits (FN). 21. List three factors that influence sheet size selection. 22. Identify two factors that influence drawing scale selection. 23. Define casting. (See Chapter 5.) 24. Define core. (See Chapter 5.) 25. Define forging. (See Chapter 5.) 26. Explain the purpose of draft angle on a casting or forging. 27. Define surface finish. 28. Identify the units used to measure surface roughness height. 29. Show three examples of the recommended placement of surface finish symbols. 30. Describe the surface condition and process used to estab- lish the following surface roughness heights given in mi- crometers: 12.5, 6.3, 3.2, 1.6, 0.80, 0.20, 0.050. Appendix E is a reference in addition to this chapter content. 31. Describe tabular dimensioning. 32. Where are general notes generally placed when using ASME standards? 33. Where are the general notes placed when using Military standards? 34. Describe a delta note and when it is used. 35. Define parting line. 36. What does it mean when a note such as .010 MAX DRAFT ANGLE is applied to the drawing for a plastic part? 37. Explain what 1DFT means when applied to a dimension. 38. What does 2DFT mean when applied to a dimension? 39. Discuss the possible results of designing a part with specifi- cations that require overmachining. 40. Explain the difference between jigs and fixtures. 59728_ch10_EOC_ptg01.indd 1 03/02/16 10:26 am

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Chapter Tests and Problems

ChaPTer 10 Dimensioning anD ToleranCing TesT

INSTRUCTIONS

Answer the questions with short, complete statements or draw-ings as needed.

QUESTIONS

1. Name two classifications of dimensions.

2. Identify and describe two types of notes.

3. Define unidirectional dimensioning.

4. Specify the ASME document that governs the standard for dimensioning and tolerancing.

5. Define the following terms; examples can be used if appro-priate: actual size; bilateral tolerance; dimension; feature; limits of dimension; specified dimension; tolerance; unilat-eral tolerance.

6. What are the recommended standard units of linear mea-surements on engineering documents?

7. When all dimensions are metric, what is the general note that should accompany the drawing?

8. Give the standard height of dimension text.

9. How should the decimal in numerals be treated?

10. Should all of the dimension arrowheads on a drawing be the same size?

11. What is the recommended length-to-height ratio of arrowheads?

12. Discuss proper dimension line spacing.

13. Identify a possible disadvantage of chain dimensioning.

14. Describe baseline dimensioning.

15. How are notes for holes dimensioned on an engineering document?

16. Describe how holes are located.

17. Define maximum material condition (MMC).

18. Define least material condition (LMC).

19. Describe a clearance fit.

20. Describe running and sliding fits (RC), locational fits (LC, LT, LN), and force fits (FN).

21. List three factors that influence sheet size selection.

22. Identify two factors that influence drawing scale selection.

23. Define casting. (See Chapter 5.)

24. Define core. (See Chapter 5.)

25. Define forging. (See Chapter 5.)

26. Explain the purpose of draft angle on a casting or forging.

27. Define surface finish.

28. Identify the units used to measure surface roughness height.

29. Show three examples of the recommended placement of surface finish symbols.

30. Describe the surface condition and process used to estab-lish the following surface roughness heights given in mi-crometers: 12.5, 6.3, 3.2, 1.6, 0.80, 0.20, 0.050. Appendix E is a reference in addition to this chapter content.

31. Describe tabular dimensioning.

32. Where are general notes generally placed when using ASME standards?

33. Where are the general notes placed when using Military standards?

34. Describe a delta note and when it is used.

35. Define parting line.

36. What does it mean when a note such as .010 MAX DRAFT ANGLE is applied to the drawing for a plastic part?

37. Explain what 1DFT means when applied to a dimension.

38. What does 2DFT mean when applied to a dimension?

39. Discuss the possible results of designing a part with specifi-cations that require overmachining.

40. Explain the difference between jigs and fixtures.

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41. Normally a jig or fixture is drawn as an assembly of the unit ready for use, and the workpiece or part to be held is drawn in position. How is the workpiece drawn in relationship to the jig or fixture?

42. Describe the use of drill jigs.

43. Drill fixtures are sometimes referred to as what?

44. Describe the use of drill fixtures.

45. Explain how machining fixtures work.

46. Describe the function of welding fixtures.

47. Briefly explain the use of inspection fixtures.

48. Define and describe the use of progressive dies.

49. What is a pickoff jig?

50. Why is it important for a tool designer to be a good print reader?

51. Identify at least four qualities that tools must have.

52. What does ISO stand for?

53. Briefly explain the purpose of the ISO 9000 Quality Systems Standard.

54. Give the name of the organization that represents the United States in the ISO 9000.

55. Give at least five reasons why an organization might want to have an ISO 9000 registration.

56. Explain the purpose of the ISO 9000-1.

57. Briefly describe the function of the ISO 9001.

58. Describe the ISO 9002 standard.

59. What is the purpose of the ISO 9003 standard?

60. Explain the purpose of the ISO 9004-1 standard.

61. Give the name of the ISO 9001 standard that has been spe-cifically related to the automotive industry.

62. Name the ISO 9001 standard that has been specifically re-lated to the aerospace industry.

Part 2: General Tolerancing

63. Identify the tolerance and limits of each of the following dimensions:Metric: 25.5 6 0.1; 19 6 0.25.Inch: .375 6 .003; 1.6250 6 .0005.

64. Given the following CAD drawing, calculate the allowance. Show and label the elements of your calculation.

65. From the following list of given conditions, calculate the limits of the shaft and the limits of the hole. Show and label the elements of your calculations. (Review the allowance calculation formula.)a. Metric dimensions.b. A clearance fit.c. Allowance 5 0.05.d. Specified dimension of shaft 5 12.e. Shaft tolerance 5 0.26 BILATERAL. (Remember the toler-

ance is the total permissible variation.)f. Hole tolerance 5 0.18.

66. Determine the shaft and hole limits for a 1 in. diameter shaft using an RC4 fit. Show and label the elements of your calculations.

67. Establish the shaft and hole limits for a .25 in. diameter shaft using an RC4 fit. Show and label the elements of your calculations.

68. Calculate the shaft and hole limits for a 1.125 in. diameter shaft using an RC4 fit. Show and label the elements of your calculations.

69. Using standard metric limits and fits with tolerances of close running fits, determine the limits of a 30-mm hole. Display the required dimension with limits followed by the code in parentheses.

70. By means of standard metric limits and fits with tolerances of close running fits, determine the limits of a 30-mm shaft. Show the required dimension with limits followed by the code in parentheses.

71. With standard metric limits and fits using close running fits, determine the limits of a 25-mm hole. Give the required di-mension with limits followed by the code in parentheses.

72. Using standard metric limits and fits with tolerances of close running fits, determine the limits of a 25-mm shaft. Display the required dimension with limits followed by the code in parentheses.

73. Name five items that a CADD system needs in order to place a dimension.

74. Define layering.

75. List at least two reasons why CADD layering can assist the dimensioning process.

ChaPTer 10 Dimensioning anD ToleranCing Problems

PROblEmS CONTINUEd fROm PREvIOUS ChaPTERS

In addition to the problems found in this chapter, you can go back to the previous chapters listed here and complete the drawings by adding the given dimensions. Open the existing drawing and edit views by moving to accommodate dimension placement.

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Chapter 6 Lines and Lettering : Problems 6.1 through 6.11.

Chapter 7 Drafting Geometry: Problems 7.21 through 7.43.

Chapter 8 Multiviews: Problems 8.58 through 8.89.

Chapter 9 Auxiliary Views: Problems 9.15 through 9.37.

Instructions

1. From the selected sketch, determine which view should be the front view. Then determine which other views, if any, you need to draw to fully display the part in a multiview drawing. Use an auxiliary view or views if needed to fully describe the part.

2. Make a multiview sketch of the selected problem as close to correct proportions as possible. Be sure to indicate where you intend to place the dimension lines, extension lines, ar-rowheads, and hidden features to help you determine the spacing for your final drawing.

3. Using the sketch you have just developed as a guide, make an original multiview drawing on an adequate size drawing sheet and at an appropriate scale. Include all dimensions needed using unidirectional dimensioning. From the se-lected problems, determine which views and dimensions should be used to completely detail the part.

4. Include the following general notes at the lower-left corner of the sheet .5 in. each way from the corner border lines:

Notes:1. DIMENSIONING AND TOLERANCING PER ASME Y14.5-2009.

2. REMOVE ALL BURRS AND SHARP EDGES.

Additional general notes may be required, depending on the specifications of each individual assignment. Use the following tolerances for unspecified inch values. A tolerance block is rec-ommended as described in Chapter 2.

Unspecified Tolerances

Decimals in.

X 6.1

XX 6.01

XXX 6.005

ANGULAR 6309

FINISH 125 µin.

For metric drawings, provide a general note that states: TOLERANCES FOR UNSPECIFIED DIMENSIONS COMPLY WITH ISO 2768-m. Provide a general note that states: SURFACE FINISH 3.2 µm UNLESS OTHERWISE SPECIFIED.

Each problem assignment is given as an engineer’s layout to help simulate actual drafting conditions. Initial problems provide a suggested layout and problems become more complex as you continue.

Dimensions and views on engineers’ layouts may not be placed in accordance with acceptable standards. You need to carefully review the chapter material when preparing the layout sketch. In some problems, the engineer’s layout certain informa-tion, such as the symmetry of a part or the alignment of holes. You need to place enough dimensions or draw lines between features to dimension the part.

To access CADD template files with predefined drafting settings, go to the Student Companion Website, select Student Downloads, Drafting Templates, and then select the appropriate template file. Use the templates to create new designs, as a resource for drawing and model content, or for inspiration when developing your own templates. The ASME-Inch and ASME-Metric drafting templates follow ASME, ISO, and related

mechanical drafting standards. Drawing templates include standard sheet sizes and formats, and a variety of appropriate drawing settings and content. You can also use a utility such as the AutoCAD DesignCenter to add content from the drawing templates to your own drawings and templates. Consult with your instructor to determine which template drawing and drawing content to use.

Drafting templates

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baSIC PROblEmS

Part 1: Problems 10.1 Through 10.20

Problem 10.1 Basic Problems (metric)

Part Name: Step

Block Material: SAE 1020

Problem 10.2 Basic practice (metric)

Part Name: Machine Tool Wedge

Plate Material: SAE 4320

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Problem 10.3 Dimensioning basic practice (in.)

Part Name: V-guide

Material: SAE 4320

Fractions: 61/32

234

212

1

1

1

2

LAYOUT SKETCHOPTIONAL SINGLE VIEW WITH LENGTH

GIVEN IN GENERAL NOTE OR TITLE BLOCK

316

134

212

14

14

608

Problem 10.4 Circles and arcs (in.)

Part Name: Rest Pad

Material: SAE 1040

Fillets: R.125

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Problem 10.5 Limited space (metric)

Part Name: Angle Bracket

Material: Mild steel (MS)

2X Ø15

2X45°

55

12

112

64

24

12

12

60

3250

Problem 10.6 Dimensioning contours and limited spaces (in.)

Part Name: Support

Material: Aluminum

.25

.25

1.25

2.004.50

.50

2.00

.75

.50

1.25

1.00

2.00

1.50

2.50

Problem 10.7 Limited spaces (metric)

Part Name: Selector Slide Kicker

Material: Aluminum 1510

Problem 10.8 Circles and arcs (in.)

Part Name: Chain Link

Material: SAE 4320

1.5

24

6.3532

6412.7

112

579.5

3.2

38

38

9.5

3.2

44 50

2X9.5

.125

1.50

2X R.5

2X Ø.25

R1.00

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Problem 10.10 Holes, angles, and arcs (in.)

Part Name: Journal Bracket

Material: Cast iron (CI)

Problem 10.9 Holes and limited space (in.)

Part Name: Pivot Bracket

Material: SAE 1040

Problem 10.11 Dimensioning multiple features (in.)

Part Name: Lock Ring

Material: SAE 1020

Problem 10.12 Single view (in.)

Part Name: Idler Gear Shaft

Material: MIL-S-7720

2X Ø.141 THRU

1.59

1.5000

Ø 1.4985

4

4 3

2X15°

2X.9065

3 MARK WITH 1196975

SURFACE FINISH 63 IN m

IN AREA INDICATED

4

8.00

1.38

2.06

6.187

1.38

.30

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Problem 10.13 Circles and arcs (metric)

Part Name: Bearing Support

Material: SAE 1040

Fillets: R6

2X Ø12

R15

2X12

2X Ø15R15

2X38

6432

35

12.5

Problem 10.14 Circles and arcs (metric)

Part Name: Hinge

Bracket Material: Cast aluminum7X Ø.250

Ø5.375

50°

.75

30°

40°

30°

40°

Ø4.25

Ø3.00

Problem 10.15 Machine features (in.)

Part Name: Spacer

Material: SAE 1030

Problem 10.16 Polar coordinate dimensioning (in.)

Part Name: Spacer

Material: Plastic

57

BOTTOM

11

44.450Ø44.400 (h8)

TANGENTR22

48

Ø17.5

25

R12.7

86

9.53

Ø66.75

73

100

R19

50.8

Ø.50X82°

3X Ø.25 THRU

Ø.375.870.880

.214

.224

.75

Ø2.00

3X120°

Ø4.00

Ø

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B1

C1

C3

C4C6

C2

A1B2

D1B3

C5

B4X

Y

ZHOLE QTY.

1

1

1

1

1

1

1

1

1

1

1

1

DESCRIP.

Ø7

Ø2.5

X

64

5

72

64

79

19

48

5

30

72

19

48

Y

38

38

38

11

11

38

38

21

21

21

11

6

Z

18

THRU

THRU

THRU

THRU

THRU

THRU

THRU

THRU

THRU

THRU

THRU

A1

B1

B2

B3

B4

C1

C2

C3

C4

C5

C6

D1

Ø5

Ø5

Ø5

Ø5

Ø4

Ø4

Ø4

Ø4

Ø4

Ø4

90

45

24

Problem 10.17 Repetitive features (in.)

Part Name: Slot Plate

Material: Aluminum

SPECIFIC INSTRUCTIONS: Using the RC4 standard tolerance limits found in Figure 10.81, the Appendices, or the Machinery ’s Handbook, calculate and apply limits values to the 1.00 dimension.

Ø1.00 8X Ø.250

8X45°

22.5°

Ø5.00

Ø3.00

4X.500

.375

.250

Problem 10.18 Tabular dimensioning (metric)

Part Name: Mounting Base

Material: Stainless steel

Problem 10.19 Dimensioning circles, arcs, and slots (in.)

Part Name: Top Pipe Support Bracket

Material: SAE 1020

Fillets: R12

2X R.5

R

Ø.20 THRU

2X Ø.40

.90

.40

1.60

1.50

R.25

R

2.00

R1.15

.95

4.35

1.85

.40

.50

1.00

.95

1.90

.50

Ø4.5

Ø 3 1

Ø 1 1

12X R12

6 0

13 .2

TYPICAL WALL

TH ICKNESS

19 .4

2 1

121

2 1

16 .813 .2

63 .5

13 .2

44 .45

Ø 1 1

8

19 .5

127

Problem 10.20 Chain dimensioning (metric)

Part Name: Control Housing Cover

Material: Cast iron

Do not draw a sectional view. Sections are covered in Chapter 12. Consider a bottom view to show wall thickness.

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advaNCEd PROblEmS

Part 2: Problems 10.21 Through 10.35

Problem 10.21 Dimensioning compound circles and arcs (in.)

Part Name: Multiple Shaft Support

Material: SAE 1030

Fillets and Rounds: R.08

SPECIFIC INSTRUCTIONS: Using the RC4 standard tolerance limits found in Table 10.1 on page 316, Appendices, or the Ma-chinery’s Handbook, calculate and apply limits values to the following dimensions:23 [.3823 [1.125[1.875

2X Ø.38

3.75

2X Ø2.25

2X Ø1.125 THRU

Ø1.875 THRU

Ø3.7563

63.75

R3.19R1.33

2.25

2.25

1.320

3.562

.75

4.12

2.25

.94

R.94

.75

Problem 10.22 Dimensioning auxiliary views (in.)

Part Name: Connector

Material: SAE 4320

Note: Finish all over 63 min.

R1.00

R

Ø1.50

1358

1.00

2.00

4.001.00

2.00

2.00

2.004.00

2.00 5.52

2.25

1.635

1.50

308

Problem 10.23 Dimensioning small spaces (in.)

Part Name: Guide Bracket

Material: SAE 4020

Fillets and Rounds: R.125

2X R.875

Ø2.50

Ø2.00

2 WEBS

Ø.625

DRILL THRU

.125 SAW CUT

.375

.75

.50

Ø.625

R.625

.875

ON CENTER

2.003.00

.25

1.50

.75

.75

.75

R.125

1.50

Problem 10.24 Chart drawing (in.)

Part Name: Tank Bracket

Material: 11 GA A570-30

Problem based on original art courtesy TEMCO.

1.574 1.448 1.322 D DIA

6X Ø.172

ØD

Ø3.015

6X 608

R4.937

928

Ø2.25

.055

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Problem 10.25 Arrowless dimensioning (in.)

Part Name: Metering Box Gasket

Material: Neoprene

Note: Dimensions have been corrected to allow for steel rule blade.

Problem 10.26 Casting drawing (metric)

Part Name: Slider

Material: ASTM 60 CI

Hardness: Brinell 180-220

SPECIFIC INSTRUCTIONS: Draw part as finished. Include all machining and casting dimensions on one detail drawing. The patternmaker will apply unspecified allowances during production.

SPECIFIC INSTRUCTIONS: Convert the engineering sketch to arrowless tabular dimensioning. Set up a table that identifies hole diameters, arc radii, and location dimensions from X and Y coordinates. Dimensions above Y are 1 dimensions and below Y are 2 dimensions. Dimensions to the right of X are 1 dimen-sions and to the left of X are 2 dimensions.

Problem based on original art courtesy Vellumoid Inc.

.4756X Ø.312

16X Ø.187

4X R.005MAX

4X R.29

2X R.06

2.035

1.660

1.490

2.040

1.905

1.770

1.590

1.490

1.245

1.750

1.260

.935

.490.276

.985

1.494

1.240

1.555

.905

.780.405

.510

.765

.475

.105

.935

Y

1.260

1.750

1.105

.720.570

1.265.905

X

.280

.490

.215

1.250

.105

R.610

10.4

15.62

15.88

69.75

17.7

17.9

109.30 0.13

1.6

R2

Ø31.75

R1.6

14.090

-0.25TAPERED HOLE

25.4

25.3

0.800

-0.25

TO Ø10.16

AT OTHER END

Ø

Ø50

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Problem 10.27 Forging and machining drawings (metric)

Part Name: Pump Pivot Support

Material: HRMS (Hot rolled mild steel)

SPECIFIC INSTRUCTIONS: Prepare two drawings: one showing only forging-related views, dimensions, and notes; and the other showing only machining-related views, dimensions, and notes. Pro-vide the draft angles recommended for steel (refer to chapter). Add 3 mm to forging where finish surface is identified. Do not draw thread symbol or thread note (M12 3 1.75).

Problem 10.28 Angles, holes, and arcs (in.)

Part Name: Mounting Bracket

Material: SAE 1020

Fillets: R.13

2X [.625 THRU

1.05

1.75

1.25

1.00

.75.75

[1.52

1.50 1.00

1.825

3.50

[ 1.25

THRU

[ 2.50

3.88

.75

7.13

3.25

Problem 10.29 Contours, machine features, and limited space (in.)

Part Name: Support Base

Material: SAE 1040

.31

.38

.50

.125

1.13Ø .28THRU

2.88

.75

.75

1.75

4.83

.50

1.25

.88

2.25

[ .525 [ 1.125

.063

1.876

1.06

.63

R.25

.75

[ .250

THRU

.38

Problem 10.30 CAD/CAM (in.)

Part Name: Spacer

Material: SAE 1030

8X 458

Ø4.50

6.00 3.00

4X Ø.375

3.006.00

4X R.50

Ø4.00

8X Ø.250

.75

Tool Type Tool No.

JOB PLAN

Diameter CAD Layer

Drill

Drill

End Mill

1

2

3

1

2

3

.250

.375

.500

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Problem 10.31 CAD/CAM (in.)

Part Name: Cover Plate

Material: .500-thick aluminum

Problem 10.32 Make a photocopy of the drawing below and then sketch a drill jig on the drawing to satisfy the follow-ing TDR. You can also redraw the drawing using manual draft-ing or CADD and then draw the drill jig, if preferred by your course objectives:

PART NAME:---------------------PARTPART NO:-------------------------XXXX-XXOPERATION:---------------------DRILL .500 DIA HOLEMACHINE:------------------------USE HAND DRILLFIXTURE:------------------------- PICKOFF JIG LOCATING THE

HOLE 1.800 AND 2.530 FROM THE EDGES OF THE PLATE

Tool Type Tool No.

JOB PLAN

Diameter CAD Layer

End Mill

End Mill

End Mill

1

2

3

1

2

3

.750

.500

.250

Spot Drill 4

5

4

5

.125

.500Drill

Drill

Clamps

6 6

7

1.000

Length

1.000

1.000

1.000

1.000

1.000

1.000

Ø.50 THRU

1.80

.50

2.53

.50

3.00

Ø.25 THRU

1.00

.25

4.00

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Problem 10.33 Correct ASME errors (in.)

Part Name: Electronics Divider

Material: .125 in. Thick, Acrylonitrile-butadiene-styrene (ABS)

The given drawing has intentional ASME dimensioning errors. Redraw the part using correct ASME dimensioning standards as described throughout Chapter 10.

Problem 10.34 Tabular dimensioning (metric)

Part Name: Mounting Plate

Material: 7075 Aluminum

A1 A2

A3

A4 A5

B1C1

D1E1

0 70 96

0

50

25

0 20

HOLE TABLEHOLE XDIM YDIM DESCRIPTION

A1 4.00 4.00 Ø3 THRU

A2 92.00 4.00 Ø3 THRU

A3 92.00 21.00 Ø3 THRU

A4 4.00 46.00 Ø3 THRU

A5 66.00 46.00 Ø3 THRU

B1 58.00 10.00Ø6 THRU

C1 25.00 15.00Ø6 THRU

D1 50.00 30.00E1 18.00 35.00

Ø7 5

M5X0.8-6H 6Ø20 15

Ø10 5

.380

2.000 3.000

1.321

1.516

3.000

4.323

.500

.380

3.000

2.927

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Ø.375

.450

.875

.500.250

2.000

1.250

.875

.750

1.2504X40°

10°

5X Ø.200 THRUØ.300X82°

2.625

.500R.1254X

1.000

Ø.417 THRU

Problem 10.35 Rectangular and polar coordinate dimensioning (in.)

Part Name: Adjustable Hitch

Material: SAE 1085

maTh PROblEmS

Part 3: Problems 10.36 Through 10.45

Find the distance between these points on a 2-D drawing:

Problem 10.36 (5, 7) and (8, 9)

Problem 10.37 (3, 24) and (7, 10)

Problem 10.38 (22, 25) and (8, 3)

Problem 10.39 (6, 4) and (6, 12)

Find the distance between these points on a 3-D drawing:

Problem 10.40 (0, 0, 0) and (5, 7, 9)

Problem 10.41 (1, 2, 3) and (12, 18, 20)

Problem 10.42 (21, 0, 6) and (1, 3, 9)

Problem 10.43 (6, 12, 3) and (22, 12, 8)

Problem 10.44 What is the straight-line distance (to the nearest 1/160) from one corner of a piece of 49 by 89 plywood to the opposite corner?

Problem 10.45 What is the straight-line distance (to the nearest 1/40) from one corner at the floor of a room to the op-posite corner at the ceiling if the dimensions of the room are 209 high by 309 wide by 509 long?

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