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Chapter 2:Dimensioning
Basic Topics
Advanced Topics
Exercises
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Dimensioning: Basic Topics
Summary
2-1) Detailed Drawings
2-2) Learning to Dimension
2-3) Dimension Appearance and Techniques.
2-4) Dimensioning and Locating Simple Features.
2-6) Dimension Choice.
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Dimensioning: Advanced Topics
2-5) Dimensioning and Locating Advanced Features.
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Dimensioning: ExercisesExercise 2-1: Dimension typeExercise 2-2: Spacing and readability 1Exercise 2-3: Spacing and readability 2Exercise 2-4: Duplicate dimensionsExercise 2-5: Dimension placementExercise 2-6: Circular and rectangular viewsExercise 2-7: Dimensioning and locating
featuresExercise 2-8: Advanced featuresExercise 2-9: Dimension accuracyExercise 2-10: Round off
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Dimensioning: ExercisesExercise 2-11: Dimension choiceExercise 2-12: Dimensioning 1Exercise 2-13: Dimensioning 2Exercise 2-14: Dimensioning 3Exercise 2-15: Dimensioning 4
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Dimensioning Summary
What will we learn in Chapter 2?→ How to dimension an orthographic
projection using proper dimensioning techniques.
Key points → Dimensions affect how a part is
manufactured.
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Detailed Drawings
Orthographic Projection: A shape description of an object (front, top, right side views).
Detailed Drawing: An orthographic projection, complete with all the dimensions and specifications needed to manufacture the object.
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Detailed Drawings
Can we dimension an object using the dimensions that we used to draw the object?No
These are not necessarily the same dimensions required to manufacture it.
We need to follow accepted standards. (ASME Y14.5 – 1994)
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Learning to Dimension
What is our goal when dimensioning a part?→ Basically, dimensions should be given in a
clear and concise manner and should include everything needed to produce and inspect the part exactly as intended by the designer.
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Learning to Dimension
Proper dimensioning techniques require the knowledge of the following three areas. → Dimension Appearance/Technique → Dimensioning and Locating Features→ Dimension Choice
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Learning to Dimension
1. Dimension Appearance/Technique: Dimensions use special lines, arrows, symbols and text.
a) The lines used in dimensioning.
b) Types of dimensions.
c) Dimension symbols.
d) Dimension spacing and readability.
e) Dimension placement.
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Learning to Dimension
2. Dimensioning and Locating Features: Different types of features require unique methods of dimensioning.
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Learning to Dimension
3. Dimension Choice: Your choice of dimensions will directly influence the method used to manufacture the part.
a) Units and decimal places.
b) Locating feature using datums.
c) Dimension accuracy and error build up.
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Dimensioning
2-3) Dimension Appearance and Techniques
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Lines used in Dimensioning
Dimensioning requires the use of → Dimension lines→ Extension lines→ Leader lines
All three line types are drawn thin so that they will not be confused with visible lines.
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Dimension Line
Dimension line: A line terminated by arrowheads, which indicates the direction and extent of a dimension.
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Extension Line
Extension line: An extension line is a thin solid line that extends from a point on the drawing to which the dimension refers.
Long extension lines should be avoided.
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Leader Line
Leader Line: A straight inclined thin solid line that is usually terminated by an arrowhead.
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Leader Line
Leaders may be terminated:→ with an arrow, if it ends on the outline of an
object.
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Leader Line
Leaders may be terminated:→ with a dot if it ends within the outline of an
object.
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Leader Line
Leaders may be terminated:→ without an arrowhead or dot, if it ends within
the outline of an object.
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Leader Line
Avoid!→ Crossing leaders.→ Long leaders.→ Leaders that are parallel to adjacent
dimension, extension or section lines.→ Small angles between the leader and the
terminating surface.
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Arrowheads
Arrowheads are drawn between the extension lines if possible. If space is limited, they may be drawn on the outside.
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Types of Dimensions
Dimensions are given in the form of linear distances, angles, and notes.
→ Linear distances: They are usually arranged horizontally or vertically, but may also be aligned with a particular feature of the part.
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Types of Dimensions
Dimensions are given in the form of linear distances, angles, and notes.
→ Angles: Used to give the angle between two surfaces or features of a part.
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Types of Dimensions
Dimensions are given in the form of linear distances, angles, and notes.
→ Notes: Used to dimension diameters, radii, chamfers, threads, and other features that can not be dimensioned by the other two methods.
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Exercise 2-1
Count the different types of dimensions.→ How many linear horizontal dimensions are
there? 5
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Exercise 2-1
Count the different types of dimensions.→ How many linear vertical dimensions are
there? 3
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Exercise 2-1
Count the different types of dimensions.→ How many angular dimensions are there? 1
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Exercise 2-1
Count the different types of dimensions.→ How many leader line notes are there? 1
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Lettering
Lettering should be legible, easy to read, and uniform throughout the drawing. → Upper case letters should be used for all
lettering unless a lower case is required. → The minimum lettering height is 0.12 in (3
mm).
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Dimensioning Symbols
Dimensioning symbols replace text. → The goal of using dimensioning symbols is to
eliminate the need for language translation.
Why is it important to use symbols.→ How many products are designed in the
United States?→ How many products are manufactured or
assembled in the United States?
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Dimensioning Symbols
Term Symbol
Diameter n
Spherical diameter Sn
Radius R
Spherical radius SR
Reference dimension (8)
Counterbore / Spotface v
Countersink w
Number of times or places 4X
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Dimensioning Symbols
Term Symbol
Depth / Deep x
Dimension not to scale 10
Square (Shape) o
Arc length
Conical Taper y
Slope z
Symmetry i
5
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Spacing and Readability
Dimensions should be easy to read, and minimize the possibility for conflicting interpretations.
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Spacing and Readability
a) The spacing between dimension lines should be uniform throughout the drawing.
b) Do not dimension inside an object or have the dimension line touch the object unless clearness is gained.
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Spacing and Readability
c) Dimension text should be horizontal which means that it is read from the bottom of the drawing.
d) Dimension text should not cross dimension, extension or visible lines.
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Exercise 2-2
List the dimensioning mistakes and then dimension the object correctly.
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Spacing and Readability
e) Dimension lines should not cross extension lines or other dimension lines.→ Extension lines can cross other extension
lines or visible lines.
f) Extension lines and centerlines should not connect between views.
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Spacing and Readability
g) Leader lines should be straight, not curved, and point to the center of the arc or circle at an angle between 30o – 60o.
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Exercise 2-3
List the dimensioning mistakes and then dimension the object correctly.
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Spacing and Readability
h) Dimensions should not be duplicated or the same information given in two different ways. → If a reference dimension is used, the size
value is placed within parentheses (e.g. (10) ).
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Exercise 2-4
Find the duplicate dimensions and cross out the ones that you feel should be omitted.
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Dimension Placement
Dimensions should be placed in such a way as to enhance the communication of your design.
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Dimension Placement
a) Dimensions should be grouped whenever possible.
b) Dimensions should be placed between views, unless clearness is promoted by placing some outside.
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Dimension Placement
c) Dimensions should be attached to the view where the shape is shown best.
d) Do not dimension hidden lines.
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Exercise 2-5
List the dimensioning mistakes and then dimension the object correctly.
1) Between views
2) Leaders angle up
3) Don’t dim. Hidden lines
4) Dim where feature shown best
6) Long ext. line
5) Group
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Dimensioning
2-4) Dimensioning and Locating Simple Features
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Dimensioning Features
a) A circle is dimensioned by its diameter and an arc by its radius using a leader line and a note.
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Exercise 2-6
Answer questions about the cylindrical and hole features of the part shown.
Find the hole and cylinder.
Which view is considered the circular view and which is considered the rectangular view?
Circular view
Rectangular view
So that the cylinder is not confused with a hole.
Why is the diameter of the hole given in the circular view and diameter of the cylinder given in the rectangular view?
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Dimensioning Features
b) Holes are dimensioned by giving their diameter and location in the circular view.
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Dimensioning Features
c) A cylinder is dimensioned by giving its diameter and length in the rectangular view, and is located in the circular view.
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Dimensioning Features
d) Repetitive features or dimensions may be specified by using the symbol “X” along with the number of times the feature is repeated. → There is no space between the number of
times the feature is repeated and the “X” symbol, however, there is a space between the symbol “X” and the dimension.
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Exercise 2-7
Dimensioning and locating features
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Dimensioning
2-5) Dimensioning and Locating Advanced Features
Skip advanced topic
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Dimensioning Features
a) If a dimension is given to the center of a radius, a small cross is drawn at the center.
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Dimensioning Features
a) Where the center location of the radius is unimportant, the drawing must clearly show that the arc location is controlled by other dimensioned features such as tangent surfaces.
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Dimensioning Features
b) A complete sphere is dimensioned by its diameter and an incomplete sphere by its radius.
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Dimensioning Features
c) The depth of a blind hole may be specified in a note and is the depth of the full diameter from the surface of the object.
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Dimensioning Features
d) If a hole goes completely through the feature and it is not clearly shown on the drawing, the abbreviation “THRU” follows the dimension.
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Dimensioning Features
e) If a part is symmetric, it is only necessary to dimension to one side of the center line of symmetry.
Symmetry symbol
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Dimensioning Features
f) Counterbored holes Drill DIA
C’Bore DIA
C’Bore depth
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Dimensioning Features
f) If the thickness of the material below the counterbore is significant, this thickness rather than the counterbore depth is given.
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Application Question 2-1
What do you think a counterbored hole is used for?
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Dimensioning Features
g) Spotfaced Holes: The difference between a C’BORE and a Spotface is that the machining operation occurs on a curved surface.
Notice that the depth can not be specified in the note.
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Dimensioning Features
h) Countersunk Holes
Drill DIA
Drill Depth
C’Sink DIA
C’Sink angle
Space
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Application Question 2-2
What do you think a countersunk hole is used for?
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Dimensioning Features
i) Chamfers: Dimensioned by a linear dimension and an angle, or by two linear dimensions.
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Dimensioning Features
i) Chamfers: Dimensioned by a linear dimension and an angle, or by two linear dimensions.
Space
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Application Question 2-3
What do you think a chamfer is used for?
Safety.
Improve engagement of mating parts.
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Drawing Notes
Drawing notes give additional information that is used to complement conventional dimension. → manufacturing requirements → treatments and finishes → blanket dimensions (e.g. size of all rounds
and fillets on a casting or a blanket tolerance).
The note area is identified with the heading “NOTE:”.
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Exercise 2-8
List the dimensioning mistakes and then dimension the object correctly.
1 & 2) Use symbols
3) Spaces / Angle up5) Radius
7) Locate radius center
6) Don’t dim. hidden features
4) Dim. where features is shown best
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Dimension Choice
Dimension placement and dimension text influences the manufacturing process used to make the part. → Manufacturing process should not be
specifically stated on the drawing.
Choose dimensions based on function first then manufacturing.
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Units and Decimal Places
a) Decimal dimensions should be used for all machining dimensions. → You may encounter a drawing that specifies
standard drills, broaches, and the like by size.
→ For drill sizes that are given by number or letter, a decimal size should also be given.
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Units and Decimal Places
b) Metric dimensions are given in ‘mm’ and to 0 or 1 decimal place (e.g. 10, 10.2). → When the dimension is less than a
millimeter, a zero should proceed the decimal point (e.g. 0.5).
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Units and Decimal Places
c) English dimensions are given in ‘inches’ and to 2 decimal places (e.g. 1.25). → A zero is not shown before the decimal point
for values less than one inch (e.g. .75).
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Units and Decimal Places
d) Metric 3rd angle drawings are designated by the SI symbol.
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Locating Features Using Datums
Consider three mutually perpendicular datum planes. → These planes are imaginary and
theoretically exact.
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Locating Features Using Datums
Now, consider a part that touches all three datum planes. → The surfaces of the part that touch the
datum planes are called datum features.
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Locating Features Using Datums
Most of the time, features on a part are located with respect to a datum feature.
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Locating Features Using Datums
How do we choose which surface will be a datum feature?
Good datum features are: → functionally important surfaces → mating surfaces → big enough to permit its use in
manufacturing the part
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Locating Features Using Datums
In a class setting, do we always know the function of the part?
We need to make an educated guess as to the function of the part.
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Locating Features Using Datums
a) Datum dimensioning is preferred over continuous dimensioning.
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Locating Features Using Datums
b) Dimensions should be given between points or surfaces that have a functional relation to each other → Slots, mating hole patterns, etc...
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Application Question 2-4
Why is the distance between the two holes functionally important?
If the hole pattern mates with 2 pins or bolts, the distance between the holes is more important than the distance from the edge to the second hole.
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Dimension Accuracy
There is no such thing as an "exact" measurement. → Every dimension has an implied or stated
tolerance associated with it. → A tolerance is the amount a dimension is
allowed to vary.
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Exercise 2-9
Which dimensions have implied tolerances and which have stated tolerances?
Implied StatedImplied
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Exercise 2-9
Does the arrow indicate an increasing or decreasing accuracy?
Increasing
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Exercise 2-9
Write down the range in which the dimension values are allowed to vary.
> 0.5
< 1.5
> 0.95
< 1.05
0.999
1.001
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Rounding Off
The more accurate the dimension the more expensive it is to manufacture. → To cut costs it is necessary to round off
fractional dimensions.
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Rounding Off
How do we round off? → Let’s round off to the second decimal place.
1.125
2nd decimal place 3rd decimal place
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Rounding Off
If the third decimal place number is:→ less than 5, we truncate after the second
decimal place.
1.123 1.12
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Rounding Off
If the third decimal place number is:→ greater than 5, we round up and increase
the second decimal place number by 1.
1.126 1.13
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Rounding Off
If the third decimal place number is:→ exactly 5, whether or not we round up
depends on if the second decimal place number is odd or even. If it is odd, we round up and if it is even, it is kept the same.
1.165 1.16
1.135 1.14
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Exercise 2-10
Round off the following fractions to two decimal places according to the rules stated above.
(5/16) .3125
(5/32) .1562
(1/8) .125
(3/8) .375
.31
.16
.12
.38
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Cumulative Tolerances
Continuous dimensioning has the disadvantage of accumulating error. → It is preferable to use datum dimensioning to
reduce error buildup.
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Cumulative Tolerances
What is error build up?→ e = individual dimension error
x.e 3x.e
x.e + x.e + x.e = 3x.3e
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Exercise 2-11
List the dimensioning mistakes and then dimension the object correctly.
1 & 2) 2 decimal places / No leading zero
4) Symbol / Decimal
3) Use datum dimensioning
5) Don’t dim. hidden features
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Exercise 2-12
Dimension the following object using proper dimensioning techniques.
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Exercise 2-13
Dimension the following object using proper dimensioning techniques.
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Exercise 2-14
Dimension the following object using proper dimensioning techniques.
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Exercise 2-15
Dimension the following object using proper dimensioning techniques.