Geometric Tolerances, Limits Fits Charts, Mechanical Tolerances Tables and Calculators

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Geometric Dimensioning and Tolerancing Resources

This web page contains links to Mechanical Tolerance Design Manufacturing Calculators and Tables, GD&T, Geometric Dimensioning and Tolerancing calculators, Standard mechanical tolerances and other mechanical tolerance resources for design, engineering, manufacturing and quality.

The links contained on this page are tolerance charts that I use in my design activities. Please use with judgment, as your particular design requirements may be less or more stringent.

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Tolerance Charts
Description
Drilling is an operation performed by a rotary end cutting tool with one or more cutting edges and usually one or more flutes for the passage of chips and cutting fluid. Holes drilled by this process are limited by the available drill sizes.
Drilled hole locations and size variations are cumulative of several manufacturing variables.
The ANSI B4.1 Standard arranged fits classes in three general groups according to the field and type of usage.
This Standard defines preferred limits and fits for press fits applications of non-threaded cylindrical features
This Calculator will determine the preferred size and limit tolerances for Running or sliding to interference-locational fits per ANSI B 4.1.
This Calculator will determine the preferred size and limit tolerances for a force or shrink fit per ANSI B 4.1.
This calculator will determine a variety of force, stress and other design parameters for press fit applications.
Positional & Limits of Size
International Tolerances per. ISO 919 and ISO 286 1993
International Tolerance Grade Chart
Metric Mechanical Tolerance Preferred Size Data
Plus and minus tolerance for the specific ISO 286 hole tolerance data.
Plus and minus tolerance for the specific ISO 286 Shaft tolerance data.
The following are general geometrical tolerances per. ISO 2768 for the following: Linear Dimensions, External Radius and Chamfer Heights, Straightness and Flatness, Perpendicularity, Symmetry, Runout
Slip & Press fit design tolerances for ANSI size dowel pins.
Hole - Fastener Fits for ANSI Hex Head Blots and Screws.
Hole - Fastener Fits

General Tolerances Shaft - Holes Fits
Tolerance classes per ANSI ASME B4.1

Fixed & Rotating, Class I, II, III, IV, V
Most extension springs are specified with initial tension, which is an internal force that holds the coils tightly together.
Torsional Spring wire-diameter tolerances, which are usually quite close, then govern the dimensional variations in body length and therefore in the spacing of the spring arms.
Hole - Fastener MEchanical Tolerance Fits Chart
Drill and Counterbore Sizes for Socket Head Cap Screws per. ASME B18.3
Design for shaft-to-shaft alignment is the positioning of the rotational centers of two or more shafts so that the shafts are co-axial when the machine is in operation. The purpose of shaft alignment is to increase the operating life span of rotating machinery and to achieve high efficiency.
Dimensions of Go and No Go Gages for Spline Sockets per. ASME B18.3
Dimensions of Go and No go Gages for Hexagon Sockets per. ASME B18.3
Drilled hole mechanical tolerance capabilities data.
This calculator will determine the gage class and tolerance per ANSI ASME B89.1.5 for cylindrical I.D and O.D. gauges.
A treatise on the development of gaging systems for interchangeable manufacturing
An inspection master gear is used with selected fixtures to measure the variations in a manufactured gear.
During the rolling process the rollers bow slightly, which results in the sheet metal being thinner on the edges.

Machining Tool Relief Grooves Dimensions and Tolerances

Size, Dimensions and Tolerances for Machined Tool Relief Grooves.

Per industry standards DIN ISO 509 and IS 3428

Accuracy Specification of Gauge Blocks by JIS B 7506-1997 Japan Specification.
Accuracy Specification for Gauge Blocks by BS 4311: Part 1: 1993 (UK) standard at 20??C.
The following table gives the Accuracy Specifications for Gage Blocks by ASME B89.1.9 (USA) at 20??C.
This table defines Ring gage and Master Disc mechanical tolerances per B89.1.5-1998 (R2009)
Table of tolerances for gauge blocks according to DIN 861, corresponds with ISO 3650 and SS 3348).
Gauge block calibration, application and history - 143 pages developed by industry standards organization NIST
GD&T and Mechanical Tolerancing Books Related - Online

Geometric Boundaries II, GD&T per. ASME Y 14.5-2009

Interpretation and Application of ASME Y14.5-2009 GD&T

Geometric Boundaries Workbook Answers

Access to Geometric Boundaries Workbook Questions
Geometric Boundaries, Interpretation and Application of GD&T per. ASME Y14.5M-1994
Geometrical Boundaries, Interpretation and Application of G&T per. ISO 1101

Geometric Metrology per. ASME Y14.5-2009

Dimensional Tolerances Inspection & Practices in Manufacturing Fundamentals

Limited Dimension Drawings LDD, Critical Feature Drawings

Presentation and research for Limited Dimension Drawings LDD, Critical Feature Drawings

Differences Between ASME Y14.5-2009 and ISO 1101 Geometric Dimensioning and Tolerancing

Quick Guide to differences Between ASME Y14.5-2009 and ISO 1101 Geometric Dimensioning and Tolerancing
The ASME Y14.5-2018 standard is the only dimensioning and tolerancing guideline for the design language of geometric dimensioning and tolerancing (GD&T.) within the United States.
Gauge block calibration is one of the oldest high precision calibrations made in dimensional metrology. Since their invention at the turn of the century gauge blocks have been the major source of length standardization for industry. In most measurements of such enduring
The pitch diameter of a screw thread may be measured very accurately by means of some form of dial caliper or micrometer and three wires of equal diameter.
Overview of changes to the ASME Standard
Using random (not cluster) sampling.

Dimensional Measurement Planning

This resource requires a Premium Membership
GD&T Training Videos and Related Dimensioning and Tolerancing Applications
This tool will assist in design and selection of the correct geometric tolerances GD&T per ASME Y14.5-2009
Dovetail slides that must be machined accurately to a given width are commonly gaged by using a gage pin..
100 % interchangability and Six Sigma assembly and part tolerance analysis calculator.
Hole MMC Maximum Material Condition Tolerance Chart Calculator per .ASME Y14.5-2009,  ASME Y14.5M - 1994, or ISO 1101 Geometric Dimensioning and Tolerancing (GD&T).
Shaft Diameter MMC Maximum Material Condition Tolerance Chart Calculator

GD&T Training & Applications Videos

GD&T and related training videos
This method is extensively used in checking the accuracy of threaded plug gages and other precision screw threads.
This video illustrates a parallelism application on an as-cast box requiring post machining. GD&T training
When RMB is applied to a geometric tolerance to multiple datum features of size to establish a single datum element(s), the datum feature simulator for each feature shall be at a fixed location and orientation relative to each other
This application video explores a couple of GD&T methods to refine the orientation of two hole features for a piston connecting rod.
GD&T Perpendicularity of Hole Application. Perpendicularity is the condition of a surface, axis, or line, which is 90 deg. from a datum plane or a datum axis.
Circularity describes the condition on a surface of revolution (cylinder, cone, or sphere) where all points of the surface intersected by any plane are... more

Straightness of Surface GD&T Training Application Video

This video illustrates a Straightness of Surface Application on a cam follower wheel.
Flatness Gasket Application - This video discusses how to determine the right Flatness tolerance when a gasket is used between surfaces. GD&T Training
Circular Runout Surface Perpendicular to Datum Axis
Straightness of Axis Application - This video discusses how to determine the right straightness tolerance when the outer and inner tolerance boundaries are known.
GD&T Related Tolerance Calculators, Tools,
Geometric Dimensioning Tolerancing Training Calculators
One of the most frequent questions asked is, “how do I choose a plug (pin) gauge for my measurement application.” Therefore I put together this webpage and calculator to help you understand and calculate the concept of fixed limit gauging.
Geometric Boundaries IV
The Interpretation and Application of Geometric Dimensioning and Tolerancing (Using the Inch and Metric Units)

Based on ASME Y14.5-2018 (Revision of ASME Y14.5-2009) ASME Y14.41-2012
Kelly L. Bramble, F.A.A. Airframe and Powerplant, ASME Senior GDTP S-0150

This book is written for those professionals within the design, drafting, engineering and manufacturing fields that desire a practical guide for the interpretation and application of geometric dimensioning and tolerancing.

I have directed my efforts for technical professionals applying geometric dimensioning and tolerancing and attempted to comprehensively cover the concepts and applications that are, and will be the most relevant within industry today and the future. The choice of examples are those which represent typical applications and may be combined as applicable to create products.

Much of the text material has been organized so that the topics appear and build the necessary knowledge required to proceed to the next subject matter.

The following are definitions commonly used throughout industry when discussing GD&T or composing engineering drawing notes.

PLTZF tolerance applied at MMC , FRTZF tolerance applied at MMC, All dimensional unit applied with uniform units - all inches, mm, m, etc. , Datum applied at RFS, FRTZF datum is perpendicular to features , X and Y measurements taken with datum's established

GD&T Composite Position Tolerance Calculator for Dimensional Inspection: External Feature of Size - post, tab, pipe, etc..

This calculator calculates the as-measured Concentricity per. ASME Y14.5 - 2009, Dimensioning and Tolerancing Standard, also know as Geometric Dimensioning and Tolerancing (GD&T).
The purpose of this report is to describe various tolerance stacking methods without going into the theoretical details and derivations behind them. For those the reader is referred to Scholz (1995). For each method we present the assumptions and then give the tolerance stacking formulas. This will allow the user to make an informed choice among the manya vailable methods.
This calculator will determine the unknown variable of a floating fastener design condition using ASME Y14.5 - 2009 and ISO 1101 and derivative GD&T standards.
This calculator calculates fixed fastener position tolerances utilizing principles and concepts within ASMEY14.5-2009 and ASME Y14.5M - 1994, Geometric Dimensioning and Tolerancing (GD&T).
This tolerance calculator will calculate the required field compensating for the effects of the fastener projection. Calculations assume a line-line case at tolerance and feature-of-size maximum departure. Calculations are compliant with geometric dimensioning and tolerancing standards.
This calculator will calculate the position tolerances for two coaxial mating diameters.
This calculator will calculate the position tolerances for three coaxial mating diameters.
This calculator will convert coordinate measurements to position tolerances. Two inputs are required to determine the Geometric Tolerance.
This calculator will convert coordinate measurements to position tolerances for spherical applications. Three inputs are required.
Sphericity is, naturally, a measure of how spherical an object is. Defined by Wadell in 1932, the sphericity ψ of a particle is the ratio of the surface area of a sphere with the same volume as the given spherical particle to the surface area of the particle.
This engineering calculator will determine the true and allowed position tolerance and graph the resulting data points.
An accurate method of finding or checking the radius on a part is illustrated in Figs. 1 and 2. In this method, we may calculate either an inside or an outside radius by the following equations:
For bolt circles that are too large to measure using typical methods or the measuring tools. Measuring or determining distances for a bolt circle geometry can be facilitated using the following equations and methods.
This calculator will determine the even number of holes within a bolt circle.
Even Number of Holes Within Circle #2: To measure or determine the unknown distance "c" over adjacent hole or pins (largest gage pins that can fit into holes) within a bolt circle of holes (n or number of bolts holes must be even and greater than 4)
Odd Number of Holes in Circle : To measure the unknown distance x over semi-opposite holes using pins (largest gage pins that can fit into holes) and the number of holes n is odd and greater than 3, and the distance c between adjacent holes (pins) is known
Manufacturing, quality and measurement calculations and methods manual. Premium membership required.
This calculator will determine a bolt circle pattern and X Y coordinates as well as plot data. Bolt circle can be rotated as well.

This calculator will determine the Standard Deviation from a know set of measurements.

A Study of tolerance limits and fits for engineering purposes, with full tables of all recognized and published tolerance systems.

Shaft Tolerance Classifications for Metric Radial Ball and Roller Bearings

Shaft Tolerance Classifications for Metric Radial Ball and Roller Bearings of ABEC-1 and RBEC-1 Tolerance Classes ANSI/ABMA 7
Housing Hole Tolerance Classifications for Metric Radial Ball and Roller Bearings of ABEC-1 and RBEC-1 Tolerance Classes

This engineering design calculator and related formulas will determine the nominal, maximum and minimum coupling gap.

Notes: Projection within block material is fixed, Diameter D1 is typically MMC size.
This calculator determines the maximum separation at two pin/bolt locations with an intermediate strap securing together.
This spreadsheet allows the user to perform a complete Gage Repeatability and Reproducibility (GR&R) study. Both Analysis of Variance and Xbar/Range calculations are performed. Up to three operators, ten parts and three trials can be accommodated. The GR&R is reported in terms of percent of study variation and percent of tolerance. The percentage of equipment variation, appraiser variation, part variation, and the number of distinct categories that can be distinguished are also displayed.
In all balancing problems, the product of the counterbalancing mass (or weight) and its radius are calculated; it is thus necessary to select either the mass or the radius and then calculate the other value from the product of the two quantities.
Manufacturing fixtures rotating at a high speed require balancing. Often it is assumed that the center of gravity of the work piece and fixture and of the counterbalancing masses are in the same plane; however, this is not usually the case. Counterbalancing masses are required in two separate planes to prevent excessive vibration or bearing loads at high speeds.

Mechanical Tolerances and Fit Terminology: When the radial interference and interface radius (R) is known, the interface pressure (p) can be calculated using equations provided on Thick Wall Cylinder Press or Shrink Fits Equations and Calculator ( Eq. 5) depending on whether the collar and shaft are made of the same material, and depending on whether the shaft is solid or hollow.

Bolt Spacing Tolerance Analysis Formula and Calculator

When two or more components are assembled by means of bolts, it is often required to specify tolerances for the center to center distance between holes which the bolts secure thru.
The width of the knurling should not exceed the diameter of the blank, and knurling wider than the knurling tool cannot be produced unless the knurl starts at the end of the work.
Major Diameter Tolerances for External Threads of Special Diameters, Pitches, and Lengths of Engagement (UNS/UNRS) - Classes 1A, 2A, and 3A
Powder metal parts are made by compacting metal powders in a precision die. Subsequently, the compacted part is ejected and then sintered in a controlled atmosphere to develop its mechanical and physical properties.
The aim of this paper was to present the experimental study of MDF milling process’s dimensional accuracy conducted by means of standard CNC router.
A direct extrusion is made in the previously described manner. The maximum circumscribing circle for aluminum, magnesium, copper, and copper alloys is approximately 305 mm (12 in.), but some of the new presses have increased the maximum circle to 685 mm (27 in.). The maximum circumscribing circle for alloy steel and stainless steel is 136.5 mm (5.375 in.), and for carbon and titanium, 165.1 mm (6.5 in.).
For bearing mating shafts and housing are provided within the tables below are defined by ISO tolerances for shafts and housings (ISO 286) in conjunction with the tolerances Δdmp for the bore and ΔDmp for the outside diameter of the bearings per. (DIN 620).

Tolerance Table for Regularly Used Fits Excerpt from JIS B 0401 Table Calculator . ISO system of limits and fits Part 1: Bases of tolerances, deviations and fits per. JIS B 0401-1. Hole and Shaft Tolerances range from greater than 0 to 500 mm.

The sure-fit or extreme variability of a function of several uncorrelated random variables could be found by substituting values for the variables to find the maximum and the minimum value of the function
Tolerances adopted by the Drop Forging Association in 1937 apply to forgings under 100 pounds each.
For parts manufactured by forging that are produced in two-part impression dies

Steel Die Forging Tolerances for straightness, flatness and tolerances for center-to-center dimensions. Drop and vertical press forgings. EN 10243-1 Steel die forgings - Tolerances on dimensions

Tolerances for fillet, edge radii, burrs and sheared ends

Steel Die Forgings Tolerance Calculator Non-Circular Forging. To determine the tolerances applicable to a given forging the following information is required in addition to the dimensions of the forging:

  • mass of forging;
  • shape of die line;
  • category of steel used;
  • shape complexity factor;
  • type of dimension.
To determine the tolerances applicable to a given forging the following information is required in addition to the dimensions of the forging: mass of forging; shape of die line; category of steel used; shape complexity factor; type of dimension.
Drop and vertical press forgings per. EN-10243-1 Forging grade F normal Tolerances for length, and diameter.
Drop and vertical press forgings per. EN-10243-1 Forging grade E Tolerances for length, and diameter.
Thickness tolerances govern permissible variations in any dimension which crosses the die line. All variations in thickness, due to die-closure, die-wear and shrinkage are included in the thickness tolerances. The characteristics of the forging process require that, for any given forging, all tolerances for thickness dimensions are uniform.
Thickness tolerances govern permissible variations in any dimension which crosses the die line. All variations in thickness, due to die-closure, die-wear and shrinkage are included in the thickness tolerances. The characteristics of the forging process require that, for any given forging, all tolerances for thickness dimensions are uniform.
Grade E per. EN-10243-1 is for closer tolerances to assist in accommodating those instances in which the normal manufacturing standards are inadequate.
Forging grade E providing closer tolerances to assist in accommodating those instances in which the normal manufacturing standards are not adequate for function.
Kelly Bramble, GDTP, FAA A&P

Introduction, Chapter 1

What is DFM & DFA? 1.16
Culture- nomics 1.22
Product Lifecycle 1.32
Engineering and Design Approach 1.35
Concurrent Engineering 1.41
Set-Based Concurrent Engineering 1.47
Design for Standardization 1.51
Schedule Estimating 1.56
Manufacturing Process Selection 1.70

The hole sizes for inch fasteners are patterned after USA common usage and the general clearances translated from the metric standard. The hole tolerances are based on the ISO System of Limits and Fits, as required by ISO 273.
The recommended drill and hole sizes for metric fasteners are tabulated in this table calculator. The minimum recommended hole is the drill size and the maximum recommended hole size is based on standard tolerances.
Each nominal threaded insert size is standardized in five lengths, which are multiples of the insert's nominal diameter.


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