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Lecture 2
Fits & Tolerances.
By the end of this lecture, you'll learn: • The meaning of
tolerances, • Range of Tolerances for
different production processes ,
• Types of Fits, • Differences between
clearance & interference cases,
• Differences between basic hole & basic shaft systems.
Machine design – 2nd year Mechanical - Lecture 2 1
Fits & tolerances l]‡æ^{rjÖ]<æ<l^{{q]æ‡ý]
Tolerances
rjß¹]<Äé¶{{{{{鉂ß]<l^{Î<^<í{{é×ÛÃÖ]<ÅçÞ<î×Â<‚ÛjÃi<í{í{éq^jÞý]<í
• Grades of Tolerances IT 1 IT 16
Where IT= international tolerances
IT 1-2-3-4 IT 5 IT 6 ……….. IT 16 ]<ìˆãq_Œ^{éÏÖ < ê×e<á^¹æ…
<ì^jù]<íéq^jÞý]<l^é×ÛÃÖ]
<àÚ<éןcØÚ†Ö]<íÒ^f‰<± << <
Ø{{{Ï{{{{{{{i<í{{{{{{{΂Ö] ‚{{èˆi<l]‡æ^{{{r{jÖ]
• <{Ö]<‹{ËßÖ ITÖ]<ì^{èˆe<‡æ^{r{jÖ]<Ü{éÎ<]ˆi<<{size E<<†{ŞÎ–<Ùç{<DJJJJ
• Where i is tolerance unit
Mean Dia. (mm)
e.g.: 10 – 18 mean = 14 18 – 30 mean = 24
• <ì^{{jÃ{¹]<íéq^{jÞý]<l^é×ÛÃÖ]<E<{éן–<í]†{{}<–<ˆ{è†{{Ëi<–<¼{{{{Î<D
IT 6 IT 10
IT 6 IT 7 IT 8 No of units
10 i 16 i 25 i
10 -- 18 11μ 18μ 27μ
size
18 – 30 13μ 21μ 33μ
3i 0.45 D 0.001* D= +
<{Ö]<‹
{ËßÖ<
‚{{è
ˆ{è<‡
æ^Ÿ
IT<<
{Ö]<ì
^{{èˆ
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ze
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<{Ö]<‹{ËßÖ<‚{{èˆ{è<‡æ^Ÿsize<<
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Machine design – 2nd year Mechanical - Lecture 2 2
Machine design – 2nd year Mechanical - Lecture 2 3
Grades of tolerances IT1 to IT16
Machine design – 2nd year Mechanical - Lecture 2 4
Fits
<‹ËÞ<^Û<˜Ãe<ÄÚ<°fÒ…<°ÛŠq<°e<íÎøÃÖ]<êâ<^Únominal size[<< <
Fit
Clearance fit interference fit çÛÃÖ]<àÚ<†Ç‘_<gÏm< << << << << << << <çÛÃÖ]<àÚ<Ò_<gÏmد
< <<íÖ^£]<Ì‘æ<Üjè Fit <íéñ^r{]<‡ç{Ú†Ö]<Ùø}<àÚ<”ç×{}<æ_<¼{v<kÞ^Ò<ð]ç‰< <
A Z except Q O L I <“é’¡<Üjèæ<< <
Capital letter hole Small letter shaft
<Ä•æ<°fè<͆u<ØÒblock of tolerance <{Ö]<àÚ<(nominal size) Zero line ¼{v{<æ_<”ç×}<kÞ^Ò<ð]ç‰<íÖ^£]<‚è‚ <Üjè<äßÚ<æ< <
H/a Clearance z/Z Interference
Machine design – 2nd year Mechanical - Lecture 2 5
CLEARANCE case
Shaft tolerance
Hole tolerance
Zero deviation line
Shaft center line
Machine design – 2nd year Mechanical - Lecture 2 6
INTERFERENCE case `
Shaft tolerance
Hole tolerance
Shaft center line
Zero deviation line
Machine design – 2nd year Mechanical - Lecture 2 7
Machine design – 2nd year Mechanical - Lecture 2 8
Machine design – 2nd year Mechanical - Lecture 2 9
We have two systems: Basic hole system Basic shaft system Capital / Small Small / Capital H / g h / P
• {{Ö]Basic <͆{{u<„}`è<H , h • °fè<ÜÎ…<͆u<ØÒ<gÞ^œ<Ä•çèÜÎ…<<{Ö]<IT<Ä{éß’jÖ]<í{Î<‚è‚{vjÖ • <ä‰^éÎ<æ<ä×{éÇi<çÛÃÖ]<áù<gÏnÖ]<íÎ<íq…<ÄÚ<çÛÃÖ]<íÎ<íq…<ïæ^Šji<^Ú<]…^{Þ
g{ÏnÖ]<àÚ<Øã‰_<<<<<<<<<<<<<<<<<<<<<<<<<‚u]æ<á]†{Š}<çÛÃÖ]EÑ_D < <
Example 1
Φ50 H7 / g6
• Nominal size Φ50 mm
• Hole accuracy is according to IT7
• Shaft accuracy is according to IT6
• Basic hole system
• Clearance fit
o Summary: H / a h Clearance fit H / j,k,m transition fit H / n z interference fit
<Äñ^Ý]‚~j‰ý]
<l÷^uí‘^}
Machine design – 2nd year Mechanical - Lecture 2 10
Machine design – 2nd year Mechanical - Lecture 2 11
Example 2 Φ60 h6 / P7
• Nominal size Φ60 mm • Shaft IT6 • Hole IT7 • Basic shaft system
• interference fit o Summary:
h / A H clearance fit h / J,K,M transition fit h / N Z interference fit
Note
{Ö]<íè]‚e deviation<ì‚u]æ<͆£]<‹ËßÖ<†ŞÏÖ]<‹ËÞ<‚ßÂ<{Ö]<íè^ãÞ<æ deviation<
Ö]<àÚ<‚ {{{(hole + , shaft -) IT<< <EìçqçÚ<Ú<^ã×Ò<Ùæ]‚¢]D< <
Machine design – 2nd year Mechanical - Lecture 2 12
Machine design – 2nd year Mechanical - Lecture 2 13
Machine design – 2nd year Mechanical - Lecture 2 14
Example 3 Find min., max. Interference or clearance:-
[I] Φ50 H7 / g7
Solution
Φ50 H7 min hole = 50 + zero = 50 mm max hole = 50 + 0.025 = 50.025 mm
Φ50 g6
From graph: Φ50 g7 Min shaft = 50 – 0.034 = 49.966 mm Max shaft = 50 – 0.009 = 49.991 mm Max clearance = max hole – min shaft Min interference = min hole - max shaft
[II] Φ50 h6 / P6
Solution
Φ50 h6 min shaft = 50 -0.016 = 49.984 mm max shaft = 50 - 0 = 50 mm
Φ50 P7 =
From fig.: Φ50 P6 = Min hole = 50 – 0.017 = 49.983 mm Max hole = 50 – 0.033= 49.967 mm Max int. = min hole – max shaft Min int. = max hole - min shaft
∵0.0250Φ50 mm
∴
∵0.0090.025Φ50 mm
−−
0.0090.034Φ50 mm
−−
∴
∴
∵0
0.016Φ50 mm−
∴
∵0.0170.042Φ50 mm
−−
0.0170.033Φ50 mm
−−
∴
∴
[g7 ìçqçÚ<Ú<»<H7Ùæ]‚q] Ùæ
]‚q<
àÚ
d ,
IT
àÚ<6<d ,
IT
àÚ<6<d ,
IT