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GD&T
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Review
• Orthographic Projection
• Dimensioning
2.753 Precision Machine Design
Anthony Wong
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Manufacturing Error
• What are the important properties of a billiard
ball?
• Why would those properties vary?
• How much variation in those properties are
we ok with?
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Manufacturing Error
2.753 Precision Machine Design
Anthony Wong
n – 2.2497”
e – .0009”
web.mit.edu/2.75
Plus/Minus Tolerancing
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
GD&T
2.753 Precision Machine Design
Anthony Wong
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What is this telling us?
2.753 Precision Machine Design
Anthony Wong
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Envelope Rule
Perfect form at Most Material
Condition (MMC m)
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
GD&T Characteristics
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Tolerance Exercise
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Exercise
• What are the important features you want to
control?
• Sketch the tolerance zone on the drawing
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Bonus Tolerance
2.753 Precision Machine Design
Anthony Wong
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Bracket Example
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
1mm diameter cylinder tolerance zone
web.mit.edu/2.75
Perfect MMC Hole
2.753 Precision Machine Design
Anthony Wong
Perfectly placed MMC hole
1mm diameter tolerance zone
around the theoretical true position
Actual hole
Circle for Reference
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
1mm diameter tolerance zone
around the theoretical true position
Actual hole axis
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
.5mm Displaced MMC Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole, Larger Tolerance
2.753 Precision Machine Design
Anthony Wong
2mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
3mm diameter tolerance zone
web.mit.edu/2.75
MMC Hole
2.753 Precision Machine Design
Anthony Wong
10mm diameter hole
1mm diameter tolerance zone
web.mit.edu/2.75
Larger Hole
2.753 Precision Machine Design
Anthony Wong
11mm diameter hole
2mm diameter tolerance zone
web.mit.edu/2.75
LMC Hole
2.753 Precision Machine Design
Anthony Wong
12mm diameter hole
3mm diameter tolerance zone
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
Hole Diameter Position Tolerance
10 1
11 2
12 3
As the hole diameter increases from MMC within the limits of size
the position tolerance will increase by the same amount
MMC
LMC
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
n0 MMC
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
Hole Diameter Position Tolerance
10 3
11 2
12 1
As the hole diameter increases from LMC within the limits of size
the position tolerance will increase by the same amount
MMC
LMC
web.mit.edu/2.75
LMC Tolerance
2.753 Precision Machine Design
Anthony Wong
12mm diameter hole
1mm diameter tolerance zone
web.mit.edu/2.75
LMC Tolerance
2.753 Precision Machine Design
Anthony Wong
11mm diameter hole
2mm diameter tolerance zone
web.mit.edu/2.75
LMC Tolerance
2.753 Precision Machine Design
Anthony Wong
10mm diameter hole
3mm diameter tolerance zone
web.mit.edu/2.75
Where Do the Numbers Come From?
• Calculations
– Engineering
– Fit (See Section 16-17)
• Empirical Data
• Cp, Cpk
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Floating Fastener
2.753 Precision Machine Design
Anthony Wong
Min Hole-Max Fastener = Diametric Tolerance
web.mit.edu/2.75
Floating Fastener
2.753 Precision Machine Design
Anthony Wong
Min Hole-Max Fastener = Diametric Tolerance
web.mit.edu/2.75
Fixed Fastener
2.753 Precision Machine Design
Anthony Wong
Min Hole-Max Fastener = Sum of Diametric Tolerances
web.mit.edu/2.75
Fixed Fastener
2.753 Precision Machine Design
Anthony Wong
Min Hole-Max Fastener = Sum of Diametric Tolerances
web.mit.edu/2.75
Fastener Formula
• Floating:
Min Hole-Max Fastener = Diametric Tolerance
• Fixed:
Min Hole-Max Fastener = Sum of Diametric
Tolerances
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Terminology
• Datum: Theoretically exact point, line, plane
or combination
• Datum Feature: Actual feature on the part
• Datum Feature Simulator: Manufacturing
equipment contacting the datum feature
• Simulated Datum: Actual point, line, plane or
combination derived from the datum feature
simulator
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Datum Reference Frame Exercise
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.752.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Exercise
• What are options for the datum reference
frame?
• How would a different reference frame affect
the resulting part?
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
General Methodology
• Design the product
• Setup the datum reference frame
• Pick the GD&T controls
• Pick the tolerance sizes
2.753 Precision Machine Design
Anthony Wong
web.mit.edu/2.75
Where to go from here
• Pocket Guide
• Textbooks
• ASME Y14.5
• Library of drawings (for large companies)
• Consultants
2.753 Precision Machine Design
Anthony Wong

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Lecture 2 gd&t