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1. SCALES
a. Reducing Scales
• For objects drawn smaller than their actual size
b. Enlarging Scales
• For objects drawn larger than their actual size
SCALES
2. Representative Fraction (R.F.)
• The ratio of the length of the drawing to the actual length of the object
represented
• Represented in the form of X : Y
• X is the unit on the drawing whereas Y is the representation on the
actual object.
• A scale of 1:2 means 1 unit of length on the drawing representing 2
units of length of the object.
• A scale of 2:1 means 2 units of length on the drawing representing 1
unit of length of the object.
3. TYPES OF SCALES
a. Metric Scales
• Based on the decimal system
• Reducing scales usually used are:
1:2, 1:2.5, 1:5, 1:10, 1:20, 1:25, 1:50, 1:100, 1:200, 1:250 etc.
• Enlarging scales usually used are:
2:1, 2.5:1, 5:1, 10:1, 20:1, 25:1, 50:1, 100:1, 200:1, 250:1 etc.
b. Inch-Foot (English) Scales
• Based on decimal and fraction system
• Reducing and Enlarging scales have similar R.F. to Metric scales
in the decimal system.
• Fraction system has R.Fs of the type
1:2, 1:3, 1:4, 1:6, 1:12 etc. or vice versa.
4. INCH DIVISIONS
a. Fractions (8ths)
1
4. INCH DIVISIONS
a. Fractions (8ths)
1/2
4. INCH DIVISIONS
a. Fractions (8ths)
1/4
4. INCH DIVISIONS
a. Fractions (8ths)
1/8
4. INCH DIVISIONS
a. Fractions (8ths)
1/16
4. INCH DIVISIONS
a. Fractions (8ths)
1/32
b. Decimal (10ths)
1
b. Decimal (10ths)
0.5
b. Decimal (10ths)
0.1
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
0.37
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
3
2
1
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
3
2
1
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
3
2
1
1.37
5. DIAGONAL SCALES
a. Decimal Based Diagonal Scale
• To measure dimensions in 1/100th of an inch.
0
2
4
6
8 1
3
5
7
9
8
9 3
6
7 4
5 1
2 0
1
2
3
4
5
6
7
8
9
3
2
1
2.64
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
45/64
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
45/64
8
16
24
32
40
48
56
48
56 32
40 24 16 8
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
8
16
24
32
40
48
56
48
56 32
40 24 16 8
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
8
16
24
32
40
48
56
48
56 32
40 24 16 8
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
8
16
24
32
40
48
56
48
56 32
40 24 16 8
1 45/64
b. Fraction Based Diagonal Scale
• To measure dimensions with the least count of 1/64th of an inch
or smaller.
0
1
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
2
3
4
5
6
7
8
16
24
32
40
48
56
48
56 32
40 24 16 8
2 27/64
• Diagonal scale with the least count of 1/128th of an inch
0 3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
• Diagonal scale with the least count of 1/128th of an inch
0 3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
• Diagonal scale with the least count of 1/128th of an inch
0
2
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
4
6
8
10
12
14
1
3
5
7
9
11
13
15
• Diagonal scale with the least count of 1/128th of an inch
0
2
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
4
6
8
10
12
14
1
3
5
7
9
11
13
15
83/128
• Diagonal scale with the least count of 1/128th of an inch
0
2
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
4
6
8
10
12
14
1
3
5
7
9
11
13
15
83/128
• Diagonal scale with the least count of 1/128th of an inch
0
2
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
4
6
8
10
12
14
1
3
5
7
9
11
13
15
83/128
96
112 64
80 48 16
32
96
112 64
80 48 16
32
• Diagonal scale with the least count of 1/128th of an inch
0
2
3
2
1
1
2
3
4
5
6
7
6
7 5 4 3 2 1 0
4
6
8
10
12
14
1
3
5
7
9
11
13
15
1 83/128
96
112 64
80 48 16
32
96
112 64
80 48 16
32

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The diagonal scale and its formation method

  • 1. 1. SCALES a. Reducing Scales • For objects drawn smaller than their actual size b. Enlarging Scales • For objects drawn larger than their actual size SCALES
  • 2. 2. Representative Fraction (R.F.) • The ratio of the length of the drawing to the actual length of the object represented • Represented in the form of X : Y • X is the unit on the drawing whereas Y is the representation on the actual object. • A scale of 1:2 means 1 unit of length on the drawing representing 2 units of length of the object. • A scale of 2:1 means 2 units of length on the drawing representing 1 unit of length of the object.
  • 3. 3. TYPES OF SCALES a. Metric Scales • Based on the decimal system • Reducing scales usually used are: 1:2, 1:2.5, 1:5, 1:10, 1:20, 1:25, 1:50, 1:100, 1:200, 1:250 etc. • Enlarging scales usually used are: 2:1, 2.5:1, 5:1, 10:1, 20:1, 25:1, 50:1, 100:1, 200:1, 250:1 etc. b. Inch-Foot (English) Scales • Based on decimal and fraction system • Reducing and Enlarging scales have similar R.F. to Metric scales in the decimal system. • Fraction system has R.Fs of the type 1:2, 1:3, 1:4, 1:6, 1:12 etc. or vice versa.
  • 4. 4. INCH DIVISIONS a. Fractions (8ths) 1
  • 5. 4. INCH DIVISIONS a. Fractions (8ths) 1/2
  • 6. 4. INCH DIVISIONS a. Fractions (8ths) 1/4
  • 7. 4. INCH DIVISIONS a. Fractions (8ths) 1/8
  • 8. 4. INCH DIVISIONS a. Fractions (8ths) 1/16
  • 9. 4. INCH DIVISIONS a. Fractions (8ths) 1/32
  • 13. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch.
  • 14. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch.
  • 15. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch.
  • 16. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0
  • 17. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9
  • 18. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9
  • 19. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9
  • 20. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9 0.37
  • 21. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9 3 2 1
  • 22. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9 3 2 1
  • 23. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9 3 2 1 1.37
  • 24. 5. DIAGONAL SCALES a. Decimal Based Diagonal Scale • To measure dimensions in 1/100th of an inch. 0 2 4 6 8 1 3 5 7 9 8 9 3 6 7 4 5 1 2 0 1 2 3 4 5 6 7 8 9 3 2 1 2.64
  • 25. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller.
  • 26. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller.
  • 27. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller.
  • 28. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0
  • 29. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7
  • 30. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7
  • 31. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7
  • 32. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7 45/64
  • 33. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7 45/64 8 16 24 32 40 48 56 48 56 32 40 24 16 8
  • 34. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7 8 16 24 32 40 48 56 48 56 32 40 24 16 8
  • 35. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7 8 16 24 32 40 48 56 48 56 32 40 24 16 8
  • 36. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7 8 16 24 32 40 48 56 48 56 32 40 24 16 8 1 45/64
  • 37. b. Fraction Based Diagonal Scale • To measure dimensions with the least count of 1/64th of an inch or smaller. 0 1 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 2 3 4 5 6 7 8 16 24 32 40 48 56 48 56 32 40 24 16 8 2 27/64
  • 38. • Diagonal scale with the least count of 1/128th of an inch 0 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0
  • 39. • Diagonal scale with the least count of 1/128th of an inch 0 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0
  • 40. • Diagonal scale with the least count of 1/128th of an inch 0 2 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 4 6 8 10 12 14 1 3 5 7 9 11 13 15
  • 41. • Diagonal scale with the least count of 1/128th of an inch 0 2 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 4 6 8 10 12 14 1 3 5 7 9 11 13 15 83/128
  • 42. • Diagonal scale with the least count of 1/128th of an inch 0 2 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 4 6 8 10 12 14 1 3 5 7 9 11 13 15 83/128
  • 43. • Diagonal scale with the least count of 1/128th of an inch 0 2 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 4 6 8 10 12 14 1 3 5 7 9 11 13 15 83/128 96 112 64 80 48 16 32 96 112 64 80 48 16 32
  • 44. • Diagonal scale with the least count of 1/128th of an inch 0 2 3 2 1 1 2 3 4 5 6 7 6 7 5 4 3 2 1 0 4 6 8 10 12 14 1 3 5 7 9 11 13 15 1 83/128 96 112 64 80 48 16 32 96 112 64 80 48 16 32