- GD&T
GENERAL DIMENSIONING- International Paper Size Standards
- Technical Drawing Styles
- ISO And ANSI Projections
- ANSI Technical Drawing Views
- Technical Drawing Dimesioning Types
- ANSI and ISO Geometric Tolerancing Symbols
- Geometric Tolerancing Reading
- Taylor Principle Rule#1
- Form Tolerances
- Profile Tolerances
- Orientation Tolerances
- Location Tolerances
- Runout Tolerances
- TOLERANCES
ANSI AND ISO- Tolerancing and Engineering Standards
- Hole and Shaft Basis Limits And Fits
- ISO International System For Limits And Fits
- International Tolerance Grade (IT)
- Fundamental Deviations For Hole and Shaft Basis
- ISO Tolerance Band IT01-IT16
- Calculation Of International Tolerance
- Calculation of Upper and Lower Deviation For Shaft
- Calculation of Upper and Lower Deviation For Holes
- ISO Shaft Tolerances (3mm-400mm)
- ISO Shaft Tolerances (400mm-3150mm)
- ISO Hole Tolerances (3mm-400mm)
- ISO Hole Tolerances (400mm-3150mm)
- ANSI Standard Limits and Fits
- METAL CUTTING TECHNOLOGIES
- Terms and Definitions of the Cutting Tools
- Cutting Tool Materials
- Selection of Carbide to machine the work-part
- Identification System For Indexable Inserts
- Work-Part Materials
- Machinability and the specific cutting force
- Machinability of the Certain Material Evaluations
- Cutting Forces and Chip Formations
Formulae For Fundamental Deviations of Shafts up to size 500-3150mm
SHAFT | HOLES | FORMULAE FOR DEVIATION IN MICRON | ||||
SHAFT DESIGNATION | FUNDAMENTAL DEVIATION | SIGN | HOLE DESIGNATION | FUNDAMENTAL DEVIATION | SIGN | For "D" in mm |
d | es | - | D | EI | + | 16D0.44 |
e | es | - | E | EI | + | 11D0.41 |
f | es | - | F | EI | + | 5.5D0.41 |
g | es | - | G | EI | + | 2.5D0.34 |
h | es | No Sign | H | EI | No Sign | 0 |
js | ei | - | JS | ES | + | 0.5ITn |
k | ei | + | K | ES | - | 0 |
m | ei | + | M | ES | - | 0.024D+12.6 |
n | ei | + | N | ES | - | 0.04+21 |
p | ei | + | P | ES | - | 0.072D+37.8 |
r | ei | + | R | ES | - | Geometric mean of the values "p" and "s" or "P" and "S" |
s | ei | + | S | ES | - | IT7+0.4D |
t | ei | + | T | ES | - | IT7+0.63D |
u | ei | + | U | ES | - | IT7+D |
ISO 286 Tolerance Band "IT8" To "IT16"
Tolerance Band Given Below (IT8 To IT16) In Micrometer=(10-3)mm
NOMINAL( BASIC) SIZES (mm) | INTERNATIONAL TOLERANCE GRADES | ||||||||||||||||||
OVER | UP TO INCL. | IT8 | IT9 | IT10 | IT11 | IT12 | IT13 | IT14 | IT15 | IT16 | |||||||||
0 | 3 | 14 | 25 | 40 | 60 | 100 | 140 | 250 | 400 | 600 | |||||||||
3 | 6 | 18 | 30 | 48 | 75 | 120 | 180 | 300 | 480 | 760 | |||||||||
6 | 10 | 27 | 36 | 68 | 90 | 60 | 220 | 360 | 580 | 900 | |||||||||
10 | 18 | 27 | 43 | 70 | 110 | 180 | 270 | 430 | 700 | 1100 | |||||||||
18 | 30 | 33 | 52 | 84 | 130 | 210 | 330 | 520 | 840 | 1300 | |||||||||
30 | 50 | 39 | 62 | 100 | 160 | 260 | 390 | 620 | 1000 | 1600 | |||||||||
50 | 80 | 46 | 74 | 120 | 190 | 300 | 460 | 740 | 1200 | 1900 | |||||||||
80 | 120 | 64 | 87 | 140 | 220 | 350 | 540 | 870 | 1400 | 2200 | |||||||||
120 | 180 | 60 | 100 | 160 | 250 | 400 | 630 | 1000 | 1600 | 2500 | |||||||||
180 | 250 | 72 | 115 | 185 | 290 | 460 | 720 | 1150 | 1850 | 2900 | |||||||||
250 | 315 | 81 | 130 | 210 | 320 | 620 | 810 | 1300 | 2100 | 3200 | |||||||||
315 | 400 | 89 | 140 | 230 | 360 | 570 | 890 | 1400 | 2300 | 3600 | |||||||||
400 | 500 | 97 | 155 | 250 | 400 | 630 | 970 | 1500 | 2500 | 4000 | |||||||||
500 | 630 | 110 | 175 | 280 | 440 | 700 | 1100 | 1750 | 2800 | 4400 | |||||||||
630 | 800 | 125 | 200 | 320 | 500 | 800 | 1250 | 2000 | 3200 | 6000 | |||||||||
800 | 1000 | 140 | 230 | 360 | 560 | 900 | 1400 | 2300 | 3600 | 5600 | |||||||||
1000 | 1250 | 165 | 260 | 420 | 660 | 1060 | 1650 | 2600 | 4200 | 6600 | |||||||||
1250 | 1600 | 195 | 310 | 500 | 780 | 1260 | 1950 | 3100 | 5000 | 7800 | |||||||||
1600 | 2000 | 230 | 370 | 600 | 920 | 1500 | 2300 | 3700 | 6000 | 920 | |||||||||
2000 | 2500 | 280 | 440 | 700 | 1100 | 1750 | 2800 | 4400 | 7000 | 11000 | |||||||||
2500 | 3150 | 330 | 540 | 860 | 1360 | 2100 | 3300 | 5400 | 8000 | 1350 |
Calculation of International Tolerance Grades:
As mentioned before IT Grade have 18 standard tolerance. These IT Grades have their own numerical values for each dimater step given in the tables above. IT Grades IT01 to IT5 are the most accurate and used essetially for gauge. IT Grades IT6 to IT 16 are less accurate and are used for nonmating dimensions. International Grade can be calculated as given below;
T:International Tolerance grade in (μm)
D:Geometric mean dimension in millimeters (mm)
ITG:IT Grade (a positive integer)
Also T:International Tolerance can be showmen as;
"i": is standard tolerance unit/factor."i" for IT5 to IT 16 values can be calculated with the formula below;
Unit tolerance in (μm). To calculate D;
where, D (mm) is the geometric mean of the lower and upper diameters of a particular diameter step within which the chosen the diameter D lies. Standard Tolerance Unit/Factor the formula has parabolic relationship with the size of the products. As the size increases, the tolerance within which a part can be manufactured also increases.
The Standards Tolerance values corresponding to IT grades IT01, IT0, IT1, see the chart below
INTERNATIONAL TOLERANCE GRADES | |||
Values In Microns | IT01 | IT0 | IT1 |
Values For D In mm | 0.3+0.008D | 0.5+0.012D | 0.8+0.020D |
The Standards Tolerance values corresponding to IT grades IT5 to IT16, see the chart below
INTERNATIONAL TOLERANCE GRADES | ||||||||||||||||||
Values In Microns | IT5 | IT6 | IT7 | IT8 | IT9 | IT10 | IT11 | IT12 | IT13 | IT14 | IT15 | IT16 | ||||||
Values For D In mm | 7i | 10i | 16i | 25i | 40i | 64i | 100i | 160i | 250i | 400i | 640i | 1000i |
EXAMPLE:
Lets chose the diameter of the shaft 60mm, and Tolerance grade H8f7; Calculation for Fundamental deviation, Tolerances and Limit of size for Hole and, Shaft. Calculation of the Standard tolerance Unit;
The size range for 60mm Diameter would be 50-80mm from the ISO 286 table
D=√ 50 +80 mm=63.25mm
i=10-3√ 50 +60 +0.01x63.25=1.865micron or i=0.001865mm
For Shaft of f7 "i" value standard unit from the table;
Tolerance=16i=16x1.865=0.030mm
For Hole of H8 "i" value standard unit from the table;
Tolerance=25i=25x0.001865=0.046mm
Since design based on Hole basis, the fundamental deviation of hole is zero. Fundamental deviation for Shaft;
=-5.5xD0.41
=-5.5x63.250.41
=-30.114 microns=0.030mm
Shaft;
Higher Limit=Basic size-Fundamental Deviation=60-0.030=59.97mm
Lower Limit=Higher Limit-Tolerance=59.97-0.03=59.94mm
Hole;
Lower Limit=Basic Size=60mm
Higher Limit=Lower Limit+Tolerance=60+0.046=60.046mm
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