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1.2 Fundamental Rules of ASME Y14.5-2009 (Rules a through p)

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ASME GDTP Technologist Y14.5-2009

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1 Chapter 1: Scope, Certification Logistics, Fundamental Rules & General Dimensioning

1.1 ASME GDTP Technologist Exam Scope, Prometric Logistics, & Certification Rules 1.2 Fundamental Rules of ASME Y14.5-2009 (Rules a through p) 1.3 Engineering Drawing Standards, Drawing Units, & Basic vs. Toleranced Dimensions 1.4 Dimensioning Features: Diameters, Radii, Chamfers, Countersinks, Counterbores, Spotfaces, Keyseats & Slots 1.5 Application of Dimensions & Location of Features: Lines, Leaders, Reference Dimensions, Rectangular vs. Polar Coordinates

2 Chapter 2: Features, Limits of Size, & Material Condition Principles

2.1 Features, Features of Size, & Limits of Size 2.2 Rule #1 (Taylor Principle / Envelope Rule), Its Exceptions & Overrides 2.3 Material Condition Concepts: MMC, LMC, & RFS Calculations

3 Chapter 3: General Tolerancing & Symbology

3.1 Direct Tolerancing, Limit Dimensioning, & Angular Tolerancing 3.2 The 14 Geometric Characteristic Symbols, Feature Control Frames, & Special Modifiers 3.3 Screw Threads, Gears & Splines, Angular Surfaces, Tapers & Statistical Tolerancing 3.4 Feature Control Frame Placement, Combined Frames, Tolerance Zone Definition & Tabulated Tolerances

4 Chapter 4: Datum Reference Frames & Degrees of Freedom

4.1 Theoretical Datums, Datum Feature Simulators, & Physical Datum Features 4.2 Degrees of Freedom Constraint & The 3-2-1 Datum Precedence System 4.3 Planar, Cylindrical, & Width Datum Feature Establishment

5 Chapter 5: Advanced Datum Applications: Targets, Boundary Modifiers, Customized Frames & Restrained Condition

5.1 Datum Target Points, Lines, Areas, & Movable Datum Simulators 5.2 Material Boundary Modifiers (RMB, MMB, LMB) & Datum Shift Calculations 5.3 Functional Datum Feature Selection, Multiple Datum Reference Frames & Simultaneous vs. Separate Requirements 5.4 Rotational Constraint About a Datum Axis or Point & Customized Datum Reference Frames 5.5 Irregular & Complex Datum Features, Mathematically Defined Surfaces, Restrained Condition & Datum Feature Controls

6 Chapter 6: Form Tolerances

6.1 Flatness & Straightness Controls for Surfaces & Features of Size 6.2 Circularity & Cylindricity Controls, Differences, & Inspection

7 Chapter 7: Orientation Tolerances

7.1 Parallelism Controls for Planar Surfaces & Cylindrical Features of Size 7.2 Perpendicularity & Angularity Tolerances with Basic Angles & Tangent Plane

8 Chapter 8: Location: Position Fundamentals & Calculations

8.1 Position Tolerancing Fundamentals, True Position, & Coordinate Conversions 8.2 Bonus Tolerance & Virtual Condition Calculations for Internal & External Features 8.3 Projected Tolerance Zones (Ⓟ Modifier) & Fixed vs. Floating Fastener Formulas 8.4 Zero Positional and Orientation Tolerancing at MMC and at LMC 8.5 Surface vs. Axis Interpretation of Position & the Boundary Concept for Slots, Tabs & Noncircular Features

9 Chapter 9: Location: Patterns, Composite Controls, Coaxial & Symmetrical Relationships, and Functional Gaging

9.1 Hole & Slot Patterns, Multi-Segment Frames, & Composite Position Tolerancing 9.2 Functional Gaging Principles & Inspection Verification of Position 9.3 Coaxial Holes, Counterbored Holes, Non-Parallel Axes, Spherical Features & Bidirectional Position 9.4 Concentricity & Symmetry Tolerances Under ASME Y14.5-2009 9.5 LMC Applied to Position: Wall Thickness, Breakout Protection & Boundary Calculations

10 Chapter 10: Profile Tolerances

10.1 Profile of a Line & Profile of a Surface Fundamentals & Basic Geometry 10.2 Bilateral, Unilateral, & Unequally Disposed Profile Boundaries (Ⓤ Modifier) 10.3 Composite Profile Tolerances vs. Multiple Single-Segment Profile Controls 10.4 Profile Verification, Coplanarity Controls, & Non-Rigid Parts 10.5 Profile Applications: Conicity, Extruded and Irregular Shapes, and Profile-Controlled Datum Features 10.6 Modifier Rules for Profile & Combined Controls (Profile with Position, Orientation and Runout)

11 Chapter 11: Runout Tolerances & Comparative Control Analysis

11.1 Circular Runout vs. Total Runout Interpretation & Dial Indicator Verification 11.2 Comparative Analysis: Runout vs. Form, Orientation, & Concentricity Controls

1.2 Fundamental Rules of ASME Y14.5-2009 (Rules a through p)

Key Takeaways Explain This Topic AI

ASME Y14.5-2009 para. 1.4 contains 16 fundamental rules designated (a) through (p); there is no rule (q), and the ASME Y14.41 model-coordinate-system requirement is a NOTE under rule (p).

Rule 1.4(a) exempts only reference, maximum, minimum, and stock dimensions from requiring a tolerance; basic dimensions are toleranced indirectly through the feature control frame.

Rule 1.4(i) makes a depicted 90° angle subject to the general angular tolerance, while rule 1.4(j) makes a 90° angle among basic-located features BASIC and governed solely by the geometric tolerance.

Rule 1.4(k) establishes an implicit zero basic dimension wherever axes, center planes, or surfaces are shown coincident and geometric tolerances relate them.

Rule 1.4(l) sets the standard reference temperature at 20°C (68°F) per ANSI/ASME B89.6.2, and rule 1.4(n) applies every tolerance to the full depth, length, and width of the feature.

Last updated: September 2026

1.2 Fundamental Rules of ASME Y14.5-2009 (Rules a through p)

Quick Answer: Para. 1.4 of ASME Y14.5-2009 lists 16 fundamental rules , designated (a) through (p) , that govern every engineering drawing and CAD product definition data set. Rules tested heavily on the Technologist exam include (a) every dimension requires a tolerance except reference, maximum, minimum, or stock; (b) no scaling or assumed distances; (e) the drawing defines the part without specifying manufacturing methods; (i) vs. (j) implicit 90° toleranced angle vs. implicit 90° basic angle; (k) the implicit zero basic dimension ; (l) the 20°C (68°F) reference temperature; and (n) tolerances apply for the full depth, length, and width of the feature.

Important

There is no rule "(q)." The list ends at (p) , and the model-coordinate-system requirement referencing ASME Y14.41 is a NOTE under rule (p) , not a separate rule. Miscounting the rules — or shifting the letters — is a reliable way to lose points in the 10% Scope category.

Constitutional Role of Fundamental Rules in Technical Documentation

The fundamental rules in para. 1.4 are the "constitution" of a mechanical engineering drawing. They establish default interpretations that apply to every view, title block, and feature control frame unless a note explicitly supersedes them. Without them, a quality inspector could assume dimensions apply at whatever ambient shop temperature exists, a machinist could scale an undimensioned gap with calipers, and a supplier could dispute whether a tolerance penetrates the full depth of a bore. Para. 1.4 removes all three ambiguities.

  • Comprehensive Breakdown of Rules (a) Through (p)
  • Rule 1.4(a) — Each Dimension Shall Have a Tolerance

Each dimension shall have a tolerance except dimensions specifically identified as reference , maximum , minimum , or stock (commercial stock size). The tolerance may be applied directly to the dimension, indirectly in the case of basic dimensions (through a geometric tolerance), indicated by a general note , or placed in a supplementary block of the drawing format.

Watch the list. The exempt list is reference, maximum, minimum, stock . "Basic" is not on the exempt list because a basic dimension is toleranced indirectly by the geometric tolerance in the feature control frame.

Rule 1.4(b) — Complete Specification Without Scaling

Dimensioning and tolerancing shall be complete so there is full understanding of the characteristics of each feature. Values may be expressed on an engineering drawing or in a CAD product definition data set (ASME Y14.41). Neither scaling (measuring directly from the drawing) nor assumption of a distance or size is permitted — the one exception being undimensioned drawings such as loft, printed wiring, templates, and master layouts prepared on stable material, provided the necessary control dimensions are specified.

Rule 1.4(c) — Each Necessary Dimension Shall Be Shown

Each necessary dimension of an end product shall be shown. No more dimensions than those necessary for complete definition shall be given, and the use of reference dimensions should be minimized . Over-dimensioning creates conflicting requirements; reference dimensions carry no tolerance and cannot be used for acceptance.

Rule 1.4(d) — Function and Mating Relationship

Dimensions shall be selected and arranged to suit the function and mating relationship of a part and shall not be subject to more than one interpretation . This is the rule that makes functional datum selection a drawing requirement rather than a preference.

Rule 1.4(e) — Non-Specification of Manufacturing Methods

The drawing should define a part without specifying manufacturing methods. Only the diameter of a hole is given, without indicating whether it is drilled, reamed, punched, or produced by any other operation. However , where manufacturing, processing, quality assurance, or environmental information is essential to the definition of engineering requirements , it shall be specified on the drawing or in a document referenced on the drawing.

Rule 1.4(f) — Identification of Nonmandatory Processing Dimensions

Nonmandatory processing dimensions shall be identified by an appropriate note such as NONMANDATORY (MFG DATA) . Typical examples are finish allowance and shrink allowance , provided the final dimensions are given on the drawing.

Rule 1.4(g) — Arrangement for Optimum Readability

Dimensions should be arranged to provide required information for optimum readability . Dimensions should be shown in true profile views and refer to visible outlines — never to hidden lines.

Rule 1.4(h) — Gage or Code Number Materials

Wires, cables, sheets, rods, and other materials manufactured to gage or code numbers shall be specified by linear dimensions indicating the diameter or thickness. The gage or code number may be shown in parentheses following the dimension (e.g., 1.35 (16 GA) ).

Rule 1.4(i) — Implicit 90° Angle (Directly Toleranced)

A 90° angle applies where center lines and lines depicting features are shown on a 2D orthographic drawing at right angles and no angle is specified. The tolerance on that implied 90° comes from the general angular tolerance in the title block or general notes. See para. 2.1.1.3.

Rule 1.4(j) — Implicit 90° Basic Angle

A 90° basic angle applies where center lines of features in a pattern, or surfaces shown at right angles on a 2D orthographic drawing, are located or defined by basic dimensions and no angle is specified. The general title-block angular tolerance does not apply ; the permissible angular variation comes entirely from the geometric tolerance in the feature control frame. See para. 2.1.1.4. RULE 1.4(i) vs. RULE 1.4(j) — IMPLICIT 90° ANGLES

  • RULE 1.4(i): Directly Toleranced Geometry RULE 1.4(j): Basic Geometry / Pattern
  • ┌───────────────────────────────────────┐ ┌───────────────────────────────────────┐
  • │ │ │ [ 60 ] │
  • │ 50.0 ± 0.2 │ │ │◄─────────────────►│ │
  • │ │◄──────────────►│ │ │ │ │ │
  • │ │ │ │ │ (┼) (┼) │
  • │ ▼ ▼ │ │ ▲ ▲ │
  • │ ┌───────┐ ┌───────┐ │ │ │ [ 40 ] │ │
  • │ │ │ │ │ │ │ ▼ ▼ │
  • │ │ │ (┼) (┼) │
  • │ Implicit 90° between surfaces │ │ Implicit 90° between hole axes │
  • │ governed by TITLE BLOCK ANGULAR │ │ is BASIC [90°]. Governed by │
  • │ TOLERANCE (e.g., ±1°). │ │ POSITION FEATURE CONTROL FRAME. │
  • │ │ │ Title Block ±1° DOES NOT APPLY! │
  • └───────────────────────────────────────┘ └───────────────────────────────────────┘
  • Rule 1.4(k) — Implicit Zero Basic Dimension

A zero basic dimension applies where axes, center planes, or surfaces are shown coincident on a drawing and geometric tolerances establish the relationship among the features. This is why a coaxiality or symmetry relationship never needs a boxed 0 on the drawing — the coincidence itself is the basic dimension. See para. 2.1.1.4.

Rule 1.4(l) — Standard Measurement Temperature (20°C / 68°F)

Unless otherwise specified, all dimensions and tolerances are applicable at 20°C (68°F) in accordance with ANSI/ASME B89.6.2 . Compensation may be made for measurements made at other temperatures using the coefficient of thermal expansion (CTE): Δ L = α ⋅ L 0 ⋅ Δ T \Delta L = \alpha \cdot L_0 \cdot \Delta T Δ L = α ⋅ L 0 ​ ⋅ Δ T

Where Δ L \Delta L Δ L is the change in length, α \alpha α is the linear CTE, L 0 L_0 L 0 ​ is the nominal dimension at standard temperature, and Δ T = T actual − 20 ∘ C \Delta T = T_{\text{actual}} - 20^\circ\text{C} Δ T = T actual ​ − 2 0 ∘ C .

Worked Example: Thermal Expansion Inspection Trap

An aluminum component ( L 0 = 500.00 mm L_0 = 500.00\text{ mm} L 0 ​ = 500.00 mm , α = 23 × 10 − 6 / ∘ C \alpha = 23 \times 10^{-6}\text{ /}^\circ\text{C} α = 23 × 1 0 − 6 / ∘ C ) specified as 500.00 ± 0.05 mm 500.00 \pm 0.05\text{ mm} 500.00 ± 0.05 mm ( 499.95 − 500.05 mm 499.95 - 500.05\text{ mm} 499.95 − 500.05 mm ) is measured on an unconditioned shop floor at 32 ∘ C 32^\circ\text{C} 3 2 ∘ C :

Temperature difference: Δ T = 32 ∘ C − 20 ∘ C = + 12 ∘ C \Delta T = 32^\circ\text{C} - 20^\circ\text{C} = +12^\circ\text{C} Δ T = 3 2 ∘ C − 2 0 ∘ C = + 1 2 ∘ C

Thermal expansion: Δ L = ( 23 × 10 − 6 ) × 500.00 × 12 = + 0.138 mm \Delta L = (23 \times 10^{-6}) \times 500.00 \times 12 = +0.138\text{ mm} Δ L = ( 23 × 1 0 − 6 ) × 500.00 × 12 = + 0.138 mm

The shop-floor CMM reads 500.10 mm 500.10\text{ mm} 500.10 mm ; uncompensated, the part is rejected as oversized ( 500.10 > 500.05 500.10 > 500.05 500.10 > 500.05 ).

Normalized to 20°C: 500.10 − 0.138 = 499.962 mm 500.10 - 0.138 = 499.962\text{ mm} 500.10 − 0.138 = 499.962 mm .

Result: the part conforms ( 499.962 499.962 499.962 lies inside 499.95 − 500.05 499.95 - 500.05 499.95 − 500.05 ). Rule 1.4(l) is what protects good parts from wrongful rejection.

Rule 1.4(m) — Free-State Condition

Unless otherwise specified, all dimensions and tolerances apply in a free-state condition . The exceptions are the restrained condition for datum features (para. 4.20) and the free-state symbol applied to non-rigid parts (para. 5.5).

Rule 1.4(n) — Full Depth, Length, and Width

Unless otherwise specified, all tolerances apply for the full depth, length, and width of the feature . A position tolerance on a hole governs the entire cylindrical depth, entry face to exit face — not just the top surface where the CMM probe happens to land.

Rule 1.4(o) — Drawing Level Applicability

Dimensions and tolerances apply only at the drawing level where they are specified. A dimension specified for a feature on one level of drawing (e.g., a detail drawing) is not mandatory for that feature at any other level (e.g., an assembly drawing).

Rule 1.4(p) — Right-Handed Coordinate System

Where a coordinate system is shown on the drawing, it shall be right-handed unless otherwise specified . Each axis shall be labeled and the positive direction shall be shown .

NOTE (under rule (p)): where a model coordinate system is shown on the drawing, it shall be in compliance with ASME Y14.41 . This note is frequently mis-remembered as a seventeenth rule, "(q)." It is not.

Master Reference Table: ASME Y14.5-2009 Rules (a) through (p)

Rule Rule Summary Key Requirement Primary Exam Trap

1.4(a) Tolerance Requirement Every dimension has a tolerance except reference, max, min, stock Adding "basic" to the exempt list

1.4(b) Completeness / No Scaling Complete specification; no scaling, no assumed sizes Scaling an undimensioned feature

1.4(c) Necessary Dimensions Only Show every necessary dimension; minimize reference dimensions Over-dimensioning; using a REF dimension for acceptance

1.4(d) Function & Mating Dimensions arranged to suit function; one interpretation only Dimensioning for machining convenience, not function

1.4(e) Non-Specification of Methods No DRILL / REAM / MILL unless essential to the requirement Reading DRILL & REAM as normal GD&T practice

1.4(f) Nonmandatory Processing Label as NONMANDATORY (MFG DATA) Treating shrink/finish allowance as a final part limit

  • 1.4(g) Readability True profile views; refer to visible outlines Dimensioning to hidden lines
  • 1.4(h) Gage / Code Numbers Give the linear dimension; gage number in parentheses Specifying "16 GA" alone

1.4(i) Implicit 90° Toleranced Depicted right angles take the general angular tolerance Assuming coordinate 90° corners are basic

1.4(j) Implicit 90° Basic Right angles among basic-located features are basic Applying general ±1° to a basic hole grid

1.4(k) Implicit Zero Basic Coincident axes/center planes/surfaces imply a zero basic dimension Demanding an explicit boxed 0 for coaxiality

1.4(l) Standard Temperature 20°C (68°F) per ANSI/ASME B89.6.2; compensation permitted Assuming ambient shop temperature is standard

1.4(m) Free-State Condition Free state unless restrained (4.20) or free-state symbol (5.5) Clamping a rigid part during inspection without a note

1.4(n) Full Feature Applicability Tolerances apply full depth, length, and width Checking position only at the top of a hole

1.4(o) Drawing Level Scope Applies only at the level specified Enforcing detail tolerances on the assembly

1.4(p) Right-Handed Coordinates Right-handed, axes labeled, positive direction shown Inventing a rule "(q)" for the Y14.41 model note