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Equilateral polygonEquilateral polygon
Slope and taperSlope and taper
Tangency principleTangency principle
Techniques for ...
2
Equilateral polygonEquilateral polygon
1.1. Regular hexagons
2.2. Equilateral Polygon
1)1) Construct regular hexagon 40m...
3
∠ 1∶ n30°
∠ 1∶ 8
α
1∶ n
10
Slope and taperSlope and taper
1.1.SlopeSlope
H
L
5
80
100
O
TheThe slope symbolslope symbol:...
4
R1
o
R1
Construct principle: The key in tangency principle is to find the centerConstruct principle: The key in tangency...
5
Example:Example:
Example:Example:
Example:Example:
Tangency principleTangency principle
1.1.((Acute angleAcute angle)) 3...
6
General drawing proceduresGeneral drawing procedures
Techniques for drawing 2D objectsTechniques for drawing 2D objects
...
7
22 )) RequirementsRequirements
Use extra thin lines and the sketches should be accurate, clearUse extra thin lines and t...
8
33 )) RequirementsRequirements
Be consistent in drawing different types of curve segments.Be consistent in drawing diffe...
9
ExerciseExercise
Mark the following drawing onMark the following drawing on A4A4 sheet , scalesheet , scale 2:12:1;;
con...
本 章 束结本 章 束结
的 真学 !谢谢您 认 习的 真学 !谢谢您 认 习
退出退出前一页前一页
11
d
6
1 4
2 3
5
Regular hexagons
1.1.To divide the circumcircle.To divide the circumcircle.
2.2.Join these points to form...
12
2) Construct regular hexagon 40mm across corners and theConstruct regular hexagon 40mm across corners and the
other acr...
13
0 A
1
1.To divide the circumcircle.To divide the circumcircle.
5
BC
2
34
Equilateral Polygon
1) Draw a regularregular p...
14
4040
P Q
1
2
3
4
5
6
A
F
E
D
C
B
G
Equilateral Polygon
2) Draw a regularregular polygonpolygon given the distance
acros...
15
< 90°
RR
RR
0
1.1. To draw an arc of given radius RTo draw an arc of given radius R=10mm to touch twoto touch two
strai...
16
> 90°
RR
RR
0
22.. To draw an arc of given radius RTo draw an arc of given radius R=10mm to touch two straight lines.to...
17
R
01
RR
90°
0
33.. To draw an arc of given radius RTo draw an arc of given radius R=10mm to touch twoto touch two
strai...
18
1. Find the center O of a circle.
R1+ R
R2+ R
2. Find the tangent point.
O1
O2
0
R
1. To draw an arc externally of a gi...
19
0 外
R外
R −R1
R −R2
RR1
RR2
O1
O2
0
点 鼠 左 示后面内容请 击 标 键显点 鼠 左 示后面内容请 击 标 键显
2. To draw an arc internally of a given radiu...
20
RR
R1+ R
0
O1
3. To draw an arc externally of a given radius R=253. To draw an arc externally of a given radius R=25mmm...
21
RR
R1− R
O1 0
Tangency principleTangency principle
4. To draw an arc internally of a given radius R=204. To draw an arc...
22
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Engineering Drawing 3

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Transcript of "Engineering Drawing 3"

  1. 1. Equilateral polygonEquilateral polygon Slope and taperSlope and taper Tangency principleTangency principle Techniques for drawing 2D objectsTechniques for drawing 2D objects ExerciseExercise Geometric ConstructionGeometric Construction
  2. 2. 2 Equilateral polygonEquilateral polygon 1.1. Regular hexagons 2.2. Equilateral Polygon 1)1) Construct regular hexagon 40mm across corners.Construct regular hexagon 40mm across corners. 2)2) Construct regular hexagon 40mm across corners and the othConstruct regular hexagon 40mm across corners and the oth 1) Draw a regularregular pentagon given the distancepentagon given the distance across flats. 2) Draw a regularregular polygonpolygon given the distancegiven the distance across flats.
  3. 3. 3 ∠ 1∶ n30° ∠ 1∶ 8 α 1∶ n 10 Slope and taperSlope and taper 1.1.SlopeSlope H L 5 80 100 O TheThe slope symbolslope symbol:: SlopeSlope= tan= tanαα== HH / L/ L When dimensioning, the oblique direction of the slope symbolWhen dimensioning, the oblique direction of the slope symbol should be in accordance with the actual slope direction.should be in accordance with the actual slope direction. ExampleExample: Drawing of slope(Drawing of slope(∠∠ 11∶∶88, upon, upon pointpoint OO 55mmmm && leftleft 100100mmmm).).
  4. 4. 4 R1 o R1 Construct principle: The key in tangency principle is to find the centerConstruct principle: The key in tangency principle is to find the center of the arc and the tangent position of the corresponding lines, line andof the arc and the tangent position of the corresponding lines, line and arc, and arcs respectively.arc, and arcs respectively. Tangency principleTangency principle The so-called tangency principle is often used for smoothThe so-called tangency principle is often used for smooth connection between lines and circles using arcs.connection between lines and circles using arcs. R2 R1 o R= R1 + R2 o R2 R1 o R= R1 − R2 o Arc connection lines External arc connection Between two pieces of arcs Internal arc connection between two pieces of arcs a aa aa
  5. 5. 5 Example:Example: Example:Example: Example:Example: Tangency principleTangency principle 1.1.((Acute angleAcute angle)) 3.3.((Right angleRight angle)) 1.1.((ExternallyExternally)) 1.1.((ExternallyExternally)) 2.2. ((InternallyInternally)) 11. A. Arc connection between two lines.rc connection between two lines. 2. Arc connection between two pieces of arcs.2. Arc connection between two pieces of arcs. 3. Arc connection between one line and another piece of arc.3. Arc connection between one line and another piece of arc. 2.2.((Obtuse angleObtuse angle)) There are three cases, i.e.There are three cases, i.e. 2.(2.(InternallyInternally))
  6. 6. 6 General drawing proceduresGeneral drawing procedures Techniques for drawing 2D objectsTechniques for drawing 2D objects 1) Analyze dimensions and curve segments and plan for1) Analyze dimensions and curve segments and plan for the drawing procedures.the drawing procedures. 2) Define the scale, select the size of drawing sheet, and fix2) Define the scale, select the size of drawing sheet, and fix the drawing sheet on the drawing board.the drawing sheet on the drawing board. 3) Draw the border lines and produce the title box.3) Draw the border lines and produce the title box. (( 11 )) PreparationPreparation
  7. 7. 7 22 )) RequirementsRequirements Use extra thin lines and the sketches should be accurate, clearUse extra thin lines and the sketches should be accurate, clear and clean.and clean. Techniques for drawing 2D objectsTechniques for drawing 2D objects (( 22 )) Rough sketchesRough sketches 11 )) Procedure for rough sketchesProcedure for rough sketches First draw datum lines for drawing positioning, then draw allFirst draw datum lines for drawing positioning, then draw all known curve segments, then intermediate segments, andknown curve segments, then intermediate segments, and finally draw connection segments.finally draw connection segments.
  8. 8. 8 33 )) RequirementsRequirements Be consistent in drawing different types of curve segments.Be consistent in drawing different types of curve segments. The drawing should be produced with smooth connection between elements with tidyThe drawing should be produced with smooth connection between elements with tidy lettering and clean drawing.lettering and clean drawing. Techniques for drawing 2D objectsTechniques for drawing 2D objects (( 33 )) Finalizing the drawingFinalizing the drawing 11 )) Before producing the final drawing, one should check the sketches carefully,Before producing the final drawing, one should check the sketches carefully, correct all mistakes, and erase all unnecessary curve segmentscorrect all mistakes, and erase all unnecessary curve segments.. 22 )) The procedure is as followsThe procedure is as follows ①①First thick lines and then thin lines:First thick lines and then thin lines: One should first draw continuous thick lines,One should first draw continuous thick lines, then draw dashed thin lines, long dashed dotted thin lines and continuous thin lines.then draw dashed thin lines, long dashed dotted thin lines and continuous thin lines. ②②First curved then straight: One should first produce curved segments and thenFirst curved then straight: One should first produce curved segments and then straight lines.straight lines. ③③Draw parallel lines from top downwards, then vertical lines from left to right, andDraw parallel lines from top downwards, then vertical lines from left to right, and finally inclined lines.finally inclined lines. ④④Dimension.Dimension. ⑤⑤Check and fill in the title box.Check and fill in the title box.
  9. 9. 9 ExerciseExercise Mark the following drawing onMark the following drawing on A4A4 sheet , scalesheet , scale 2:12:1;; continues thick linecontinues thick line 0.80.8mm; dimension sizemm; dimension size 3.53.5.. TitleblockTitleblock
  10. 10. 本 章 束结本 章 束结 的 真学 !谢谢您 认 习的 真学 !谢谢您 认 习 退出退出前一页前一页
  11. 11. 11 d 6 1 4 2 3 5 Regular hexagons 1.1.To divide the circumcircle.To divide the circumcircle. 2.2.Join these points to formJoin these points to form the hexagon.the hexagon. 1) Construct regular hexagon 40mm across corners.1) Construct regular hexagon 40mm across corners. StepsSteps
  12. 12. 12 2) Construct regular hexagon 40mm across corners and theConstruct regular hexagon 40mm across corners and the other across flats.other across flats. Regular hexagons Step off the radius round it to give sixStep off the radius round it to give six equally spaced points,Join these pointsequally spaced points,Join these points to form the hexagon.to form the hexagon. dd RR RR 60°60° (1)(1) (2)(2) dd Draw tangents to this circle with a 60° setDraw tangents to this circle with a 60° set square to produce the hexagon.square to produce the hexagon.
  13. 13. 13 0 A 1 1.To divide the circumcircle.To divide the circumcircle. 5 BC 2 34 Equilateral Polygon 1) Draw a regularregular pentagon given the distance across flats. 2.To find the C point.To find the C point. 3.Step off the radius round.Step off the radius round. 4.Join these points to form theJoin these points to form the pentagon.pentagon. StepsSteps
  14. 14. 14 4040 P Q 1 2 3 4 5 6 A F E D C B G Equilateral Polygon 2) Draw a regularregular polygonpolygon given the distance across flats. StepsSteps 1.To divide the circumcircle.To divide the circumcircle. 2.To find the PTo find the P 、、 Q point.Q point. 3.Step off the radius round.Step off the radius round. 4.Join these points to form theJoin these points to form the regular polygon.regular polygon.
  15. 15. 15 < 90° RR RR 0 1.1. To draw an arc of given radius RTo draw an arc of given radius R=10mm to touch twoto touch two straight lines.straight lines.( <90°). Tangency principleTangency principle StepsSteps :: R 1. Find the center O of a circle. 2. Find the tangent point. 3. Draw the connection arc.
  16. 16. 16 > 90° RR RR 0 22.. To draw an arc of given radius RTo draw an arc of given radius R=10mm to touch two straight lines.to touch two straight lines.(>>90°). Tangency principleTangency principle StepsSteps R 1. Find the center O of a circle. 2. Find the tangent point. 3. Draw the connection arc.
  17. 17. 17 R 01 RR 90° 0 33.. To draw an arc of given radius RTo draw an arc of given radius R=10mm to touch twoto touch two straight lines.straight lines.(==90°). Tangency principleTangency principle StepsSteps R 1. Find the center O of a circle. 2. Find the tangent point. 3. Draw the connection arc.
  18. 18. 18 1. Find the center O of a circle. R1+ R R2+ R 2. Find the tangent point. O1 O2 0 R 1. To draw an arc externally of a given radius R =251. To draw an arc externally of a given radius R =25mmmm to touch two circleto touch two circle of radii Rof radii R11 =20=20mmmm and Rand R22 =10=10mmmm.. Tangency principleTangency principle RR1 RR2 3. Draw the connection arc. StepsSteps
  19. 19. 19 0 外 R外 R −R1 R −R2 RR1 RR2 O1 O2 0 点 鼠 左 示后面内容请 击 标 键显点 鼠 左 示后面内容请 击 标 键显 2. To draw an arc internally of a given radius R =452. To draw an arc internally of a given radius R =45mmmm toto touch two circle of radii Rtouch two circle of radii R11 =20=20mmmm and Rand R22 =10=10mmmm.. R Tangency principleTangency principle 1. Find the center O of a circle. 2. Find the tangent point. 3. Draw the connection arc. StepsSteps
  20. 20. 20 RR R1+ R 0 O1 3. To draw an arc externally of a given radius R=253. To draw an arc externally of a given radius R=25mmmm to touch a givento touch a given straight line and a circles of radii Rstraight line and a circles of radii R11=20=20mmmm.. Tangency principleTangency principle RR1 1. Find the center O of a circle. 2. Find the tangent point. 3. Draw the connection arc. StepsSteps R
  21. 21. 21 RR R1− R O1 0 Tangency principleTangency principle 4. To draw an arc internally of a given radius R=204. To draw an arc internally of a given radius R=20mmmm toto touch a given straight line and a circles of radii Rtouch a given straight line and a circles of radii R11=40=40mmmm.. RR1 StepsSteps 1. Find the center O of a circle. 2. Find the tangent point. 3. Draw the connection arc. R
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