metrology basics
TRANSCRIPT
-
7/24/2019 Metrology basics
1/113
METROLOGY & TOLERANCE ENGINEERING(MAE 622)
K.Srinivasulu Redd!e"ar#$en# % Me'ani'al & ei'le
En*ineerin*Ada$a S'ien'e & Te'n%l%* +niversi#
,
-
7/24/2019 Metrology basics
2/113
2
Unit I INTRODUCTION:
Metrological concepts - Abbe's principle - need for high precision measurements -
problems associated with high precision measurements.
Unit II MEASUREMENT, GAUGING AND GEAR & THREAD MEASUREMENT
Standards for length measurement - Shop floor standards and their calibration -Method of coincidence - Slip gauge calibration - Measurement errors. Angular
measurements - principles and instruments. Gear and Thread measurements.
Various tolerances and their specifications, gauging principles, selective assembl,
comparators.
Unit III SURFACE AND FORM METROLOGY
Surface and form metrolog - flatness, roughness, waviness, roundness,clindricit, etc.
Unit IV COMPUTER AIDED METROLOGY
!omputer Aided Metrolog - "rinciples and interfacing, software metrolog. #aser
metrolog - Applications of #asers in precision measurements - #aser
interferometer, spec$le measurements, laser scanners.
Unit V CMM, IMAGE PROCESSING AND ITS APPLICATIONS!oordinate Measuring Machine - Tpes of !MM - "robes used - Applications - %on
contact !MM using &lectro optical sensors for dimensional metrolog - %on
contact sensors for surface finish measurements. mage processing and its
application in Metrolog.
-
7/24/2019 Metrology basics
3/113
-
Unit VI LIMITS AND FITS
Tpes of (its, #imits, #imits and (its in Metric Sstem, )esignation of standard
tolerances, Tolerance Grades, "osition of Tolerance, Sstem of (its* +ole asisand Shaft asis sstems, relation between the sstems, (undamental relationship
between fits and tolerances, Selection of (its* General Method using common fits,
!ompatible tolerances with the methods of manufacturing.
Unit VII TOLERANCE ANALYSIS
ntroduction to interchangeabilit and selective assembl, Addition of Tolerances,
Subtraction of Tolerances, Tolerancing )imensions between centers of two holes
using series, parallel and combination methods,
Unit VIII GEOMETRICAL TOLERANCES
h use GT hat is Geometric )imensioning and Tolerancing/G)T0,
Geometric !haracteristics, Smbols of GT, Ma1imum
Material !ondition /MM!0, #east Material !ondition /#M!0, 2egardless of (eature
si3e /2(S0, )atum, )atum dentification and smbol.
-
7/24/2019 Metrology basics
4/113
When you can measure what you are speaking
about and express it in numbers, you know
something about it, but when you cannotmeasure it, when you cannot express it in
numbers, your knowledge is of a meager and
unsatisfactory kind.
-#ord 4elvinritish Scientist
/5678-59:;0
-
7/24/2019 Metrology basics
5/113
What is Met!"!#$%
Metrolog is the science of measurement ofdimensions, and measurement is the language of
science.
f science is measurement, then without
metrolog, there is no science.
/
Measurementcan be defined as the determinationof a dimension
-
7/24/2019 Metrology basics
6/113
+istorearin*s? Sa# in #e 0us is %i$"r%"er di$ensi%ns 3i'resul#s insu@'ien# #in 4l$: anden'e ri'#i%n: 3ear: lu0ri'a#i%nas"e'#s e#'.
-
7/24/2019 Metrology basics
9/113
ACCI!ENT O ALASKA AIRLINES LIG9T 26,
1
B $e#r%l%* is i$"%r#an#
Te $%s# seri%us "r%'ess err%r resul#ed in #e l%ss% Alasa Airlines %n Danuar -,:2 3i# 8-
"assen*ers.
-
7/24/2019 Metrology basics
10/113
E'essive #read 3ear %n #e Fa's're3 asse$0lresul#ed in l%ss% #e %ri=%n#al s#a0ili=er.
Te $e'ani' 3%r 'ard s#a#ed #a# #read 3ear 3aswithin allowable limitsH. In a'#: #e #reads %n#ejackscrew nut were almost completely wornaway.
Te "r%'ess (4#ures) used 0 #e $e'ani' 3eren%# 3a# >%ein* s"e'i4ed and #ere%re #e$easure$en# resul#s 3ere dieren# and 8-"e%"leJ're3 l%s# #eir lives
,
-
7/24/2019 Metrology basics
11/113
Re'%vered Fa's're3 7 #e s"iral
3ire 3%und ar%und #e #readed"%r#i%n is #e re$ains % #e a'$enu# in#ernal s're3 #read #a# as0een s#ri""ed r%$ #e nu#: 3i':
reein* #e Fa's're3.
,,
Rand%$ "r%'edures "r%du'e
rand%$ resul#s.
-
7/24/2019 Metrology basics
12/113
Su04eld !e4ni#i%n
S'ien#i4' %runda$en#al$e#r%l%*
'%n'erns #e es#a0lis$en# % uan#i#ss#e$s: uni# ss#e$s: uni#s %$easure$en#: #e devel%"$en# % ne3$easure$en# $e#%ds.
A""lied %rindus#rial $e#r%l%*
'%n'erns #e a""li'a#i%n % $easure$en#
s'ien'e #% $anua'#urin* and %#er"r%'esses and #eir use in s%'ie#: ensurin*#e sui#a0ili# % $easure$en# ins#ru$en#s:#eir 'ali0ra#i%n and uali# '%n#r%l %$easure$en#s.
Le*al $e#r%l%*
'%n'erns re*ula#%r reuire$en#s %$easure$en#s and $easurin* ins#ru$en#s%r #e "r%#e'#i%n % eal#: "u0li' sae#:#e envir%n$en#: "r%#e'#i%n % '%nsu$ersand air #rade.
T"es %Me#r%l%*
,2
-
7/24/2019 Metrology basics
13/113
Process of measurement:,.Measurand 2.Reeren'e -.C%$"ara#%r
1.Measurand? Measurand is #e "si'al uan#i# %r
"r%"er# lie len*#: an*le: dia$e#er: #i'ness e#'. #%0e $easured.
2.Reference: I# is #e "si'al uan#i# %r "r%"er# #%
3i' uan#i#a#ive '%$"aris%ns are $ade.
3.Comparator: I# is #e $eans % '%$"arin* $easurand3i# s%$e reeren'e
E? i##er as #% $easure MS a# 3i# s#eel rule
,.Ali*ns #e =er% end % s#eel rule 3i# %ne end % MS a#.2.C%$"ares #e len*# % a# 3i# #e *radua#i%ns %n #e rule
0 is ees.9ere:,-
-
7/24/2019 Metrology basics
14/113
Basicdenitions
1.Nominal size(Basic size: I# is #e si=e % a "ar#s"e'i4ed in #e dra3in* as a $a##er % '%nvenien'e.
li$i#s % si=e are0ased %n n%$inal si=e. I# $a 0e a3%le nu$0er %r de'i$al nu$0er.!. "rue size? I# is #e #e%re#i'alsi=e % a di$ensi%n:3i' is ree r%$ an err%rs % $easure$en#
#.$ctual size? I# is #e value % si=e %0#ained #r%u*$easure$en# 3i# #e "er$issi0le$easurin* err%r
%.&'act size? I# is #e value % si=e %0#ained 3i# #ei*es# $e#r%l%*i'al a''ura'a##aina0le in "ra'#i'e
.&rror of measurement? I# is #e dieren'e0e#3een #e #rue value % #e si=e 0ein* $easured
and #e value %und 0 $easure$en#(a'#ual %r ea'#),
-
7/24/2019 Metrology basics
15/113
).*ensiti+ity? Te s$alles# 'an*e in a $easure$en##a# an ins#ru$en# is 'a"a0le % de#e'#in*.
Sensi#ivi# reers #% #e a0ili# % $easurin* devi'e #%de#e'# s$all dieren'es in a uan#i# 0ein*$easured.
Sensi#ivi# $a 0e de4ned as #e ra#e %dis"la'e$en# % #e indi'a#in* devi'e % anins#ru$en#: 3i# res"e'# #% #e $easured uan#i#.
Sensi#ivi# s'ale s"a'in*
-
7/24/2019 Metrology basics
16/113
,6
hich is more sensitive
-
7/24/2019 Metrology basics
17/113
,.-alibration? Te '%$"aris%n % a devi'e 3i#unn%3n a''ura' #% a devi'e 3i# a n%3n: a''ura#es#andard #% eli$ina#e an varia#i%n in #e devi'e 0ein*
'e'ed.
I# is 'arried %u# 0 $ain* adFus#$en#s su' #a# #eread %u# devi'e "r%du'es =er% %u#"u# %r =er%
$easured in"u#.
Cali0ra#i%n is a "re$easure$en# "r%'ess: *enerall'arried %u# 0 $anua'#urers.
Te a''ura' % an ins#ru$en# de"ends %n #e'ali0ra#i%n. C%ns#an# use % ins#ru$en#s ae'# #eira''ura'.
I #e a''ura' is #% 0e $ain#ained: #e ins#ru$en#s,;
-
7/24/2019 Metrology basics
18/113
./ysteresis? Te dela 0e#3een #e a'#i%n andrea'#i%n % a $easurin* ins#ru$en#.
Te "en%$en%n % s#eresis is due #% #e"resen'e % dry frictionas 3ell as #e "r%"er#ies %elastic elements.
I# resul#s in #e l%adin* and unl%adin* 'urves% #eins#ru$en# 0ein* se"ara#ed 0 a dieren'e 'alledhysteresis error.
I# als% resul#s in #e "%in#er n%# re#urnin* '%$"le#el#% =er% 3en #e l%ad is re$%ved. 9s#eresis is"ar#i'ularl n%#ed in ins#ru$en#s avin* elas#i'ele$en#s.
Te "en%$en%n % s#eresis in $a#erials is $ainl,8
-
7/24/2019 Metrology basics
19/113
,1
-
7/24/2019 Metrology basics
20/113
0.epeatability? I# is #e a0ili# % #e $easurin*
ins#ru$en# #% re"ea# #e same results %r #e
$easure$en#s %r #e sa$e uan#i#: 3en #e
$easure$en#s are 'arried %u#
70 #e sa$e %0server73i# #e sa$e ins#ru$en#7under #e sa$e '%ndi#i%ns73i#%u# an 'an*e in l%'a#i%n73i#%u# 'an*e in #e $e#%d % $easure$en#7and #e $easure$en#s are 'arried %u# in s%r#in#ervals % #i$e.
I# $a 0e e"ressed uan#i#a#ivel in #er$s %2
-
7/24/2019 Metrology basics
21/113
-
7/24/2019 Metrology basics
22/113
22
11.Precision 3 $ccuracy
Pre'isi%n and a''ura' are used in '%nne'#i%n 3i##e "er%r$an'e % #e ins#ru$en#.
Pre'isi%n is de4ned as #e repeatability % #e
$easurin* "r%'ess: 3ile #e a''ura' is #ea*ree$en# % #e resul# % a $easure$en# 3i# #e#rue value % #e $easured uan#i#.
In $%s# $easure$en#s: i# is #e "re'isi%n 3i' is
% *rea# i$"%r#an'e.
I #e ins#ru$en# is n%# "re'ise: i# 3ill *ive dieren#resul#s %r #e sa$e di$ensi%n 3en $easureda*ain and a*ain.
-
7/24/2019 Metrology basics
23/113
1!.$ccuracy: A''ura' is #e de*ree #% 3i' #e$easured value % #e uali# 'ara'#eris#i' a*rees 3i##e #rue value.
Te dieren'e 0e#3een #e #rue value and #e$easured value is n%3 as err%r % $easure$en#.
I# is "ra'#i'all di@'ul# #% $easure ea'#l #e #rue
value and #ere%re a se# % %0serva#i%ns is $ade 3%semean +alue is taken as the true +alue % #e uali#$easured.
!i$e
nsi%
n
Ex: Several measurements are made on a component ydi!erent types of instruments and results are plotted
2-
-
7/24/2019 Metrology basics
24/113
2
-
7/24/2019 Metrology basics
25/113
2/
"Excessive accuracy is a si#n of poor reedin#$ % Socrates.
-
7/24/2019 Metrology basics
26/113
26
-
7/24/2019 Metrology basics
27/113
2;
%ormal distribution is also called the Gaussian distribution.
The most widel $nown and used of all distributions is thenormal distribution. t fits man human characteristics,
such as height, weight, performance etc.
Man living things in nature, such as trees, animals and
insects have man characteristics that are normalldistributed.
Man variables in business and industr are also normall
distributed.
%ormal )istribution
-
7/24/2019 Metrology basics
28/113
28
(re>uenc distribution and %ormal distribution/Gaussian0
5?@?6?58?5?9?8?5=
people weight distribution
-
7/24/2019 Metrology basics
29/113
Q
21
Q is S#d. devia#i%n
-
7/24/2019 Metrology basics
30/113
-
The formula for Normal distribution
-
7/24/2019 Metrology basics
31/113
Te se# % %0serva#i%ns 3ill s'a##er a0%u# #e$ean. Te s'a##er % #ese $easure$en#s is
desi*na#ed as si*$a(Q): #e standard de+iation:Q
S#andard devia#i%n is used as inde' of precision.
Te less #e s'a##erin* $%re "re'ise is #eins#ru$en#. Tus: lower the +alue of 45 themore precise the instrument.S#andard devia#i%n (r%%# $ean suare devia#i%n)s%3s %3 $u' varia#i%n %r dis"ersi%n eis#sr%$ #e avera*e ($ean: %r e"e'#ed value).
A l%3 s#andard devia#i%n indi'a#es #a# #e da#a"%in#s #end #% 0e ver 'l%se #% #e $ean: 3ereasi* s#andard devia#i%n indi'a#es #a# #e da#a
"%in#s are s"read %u# %ver a lar*e ran*e % values.-,
Stan4a4 De8iati!n
-
7/24/2019 Metrology basics
32/113
In#er'an*ea0ili# & Sele'#ive asse$0l
,.C%$"le#e in#er'an*ea0ili# %r rand%$ asse$0l?
An '%$"%nen#: asse$0les 3i# an %#er
'%$"%nen# '%s#l
-2
Inte*han#eai"it$: The abilit to replace the components,
parts, or e>uipment of one manufacturer with those of another,
without losing function or suitabilit.
&1amples of !omplete nterchangeabilitualit, precision and
trouble free products but also he wants them at attractive prices.
This has become possible onl b adopting automatic gauging
for se"e*ti8easse-"$whereb parts manufactured to rather
wide tolerances fit and function as though the were precisel
manufactured in precision laborator to ver close tolerances.
"arts are graded according to si3e and onl matched grades of
mating parts are assembled.
n se"e*ti8easse-"$the components produced b a machine
are classified into several groups according to si3e. This is done
both for hole and shaft and then the corresponding groups will
match properl.
-
7/24/2019 Metrology basics
34/113
-
f some parts /shaft and holes0 to be assembled are manufactured
to normal tolerances of :.:5 mm /and both are within the curve of
normal distribution0, an automatic gauge can segregate them into
ten different groupswith a :.::5 mm limit for se"e*ti8easse-"$of
the individual parts.
Thus parts with tolerances of :.::5 mm are obtained /due tosegregation0 and both the conditions of high >ualit and low cost
can be served b selective assembl techni>ue.
Re9+ie-ent: Two component parts to be fitted together must be
$ept within the normal distribution, the process capabilit of two
machines producing shafts and holes must be identical.
-
7/24/2019 Metrology basics
35/113
-/
!esired $ean value %%le
!esired $ean value %sa#
Pr%'ess 'a"a0ili# %%le(9) $ain*$a'ine
Pr%'ess 'a"a0ili# %sa#(S) $ain*$a'ine
"rocess capabilit inde1BS#=Bpper Specification #imit
#S#=#ower Specification #imit
-
7/24/2019 Metrology basics
36/113
-6
(ig. shows a case in which the process capabilit of both
shaft and hole producing machines is same but tolerances on
parts are desired as one-tenth of process capabilit of machines.
n such a case the parts are segregated b automatic inspectioninto ten groupsand parts in shaft region are matched with parts in
hole region.
This results in matching of parts having tolerances lC5:th of
machine capabilit.
n this case as the process capabilit of both machines is same,
e>ual number of parts are available in each segregated
3one and no wastage will be there.
"rocess capabilit is the abilit of a processCmachineto produce
output within specification limits
http://en.wikipedia.org/wiki/Process_(engineering)http://en.wikipedia.org/wiki/Process_(engineering)http://en.wikipedia.org/wiki/Specification_(technical_standard)http://en.wikipedia.org/wiki/Specification_(technical_standard)http://en.wikipedia.org/wiki/Process_(engineering)http://en.wikipedia.org/wiki/Process_(engineering) -
7/24/2019 Metrology basics
37/113
-;
N%. % *r%u"s "r%'ess 'a"a0ili#< #%leran'e desired
-
7/24/2019 Metrology basics
38/113
-8
nterchangeabilit< nterchangeabilit of parts made possible mass production of
identical products.
Se"e*ti8e asse-"$
-
7/24/2019 Metrology basics
39/113
-1
Se"e*ti8e asse-"$
This is often used to avoid high costs of tight tolerancing b classifing small shafts
with small holes, etc.
LIMITS, FITS &TOLERANCES
-
7/24/2019 Metrology basics
40/113
Te-s & Deiniti!ns
-
7/24/2019 Metrology basics
41/113
,
TERMS & DEFINITIONS C!nt4
Dero deviation
-
7/24/2019 Metrology basics
42/113
2
Shaft< The term shaft refers not onl to the diameter of a circular
shaft but to an e1ternal dimension on a component
+ole< +ole refers not onl to the diameter of a circular hole but toan internal dimension on a component
asic or %ominal si3e< The si3e from which the limits of si3e are
derived b the application of upper and lower deviation.
asic si3e is the 3ero line.
asic si3e is same for both the hole and its shaft.
asic si3e can be a whole number or a decimal number.&1< @7,5,6.; mm etc
An si3e more than the basic will be above the 3ero line and an
si3e less than basic si3e will be below the 3ero line and si3e e>ual
to basic si3e will be at 3ero line.
-
7/24/2019 Metrology basics
43/113
-
Tolerance< The difference between the upper and lower limits is called
the tolerance. /Er0 The algebraic difference between upper and lower
deviations, and it is an absolutevalue.
Shaft of dia. 8:.:: F :.: = 8:.: mm and 8:.:: :.: = @9.9 mm
The dimension 8:.: mm is called the upper limit and the dimension
@9.9 mm is called the lower limit.
Tolerance = upper limit lower limit = 8:.: @:.9 = :.5: mm
Tolerance is alwas a positive>uantitative number(or a shaftasi' Si=e) #% su"eri%r si=e % sa#.ei: =er% line (>asi' Si=e) #% ineri%r si=e % sa#.&*: =er% line (>asi' Si=e) #% su"eri%r si=e % %le.&;: =er% line (>asi' Si=e) #% ineri%r si=e % %le.
Fen*h te- e*at s+)eie+ & e*at ineie+
asic shaft and asic hole< The shafts and holes that have 3ero
fundamental deviation.
asic hole has 3ero lower deviation where as basic shaft has 3ero
upper deviation
TOLERANCES ON COMPONENTS
-
7/24/2019 Metrology basics
49/113
Tolerance is permissible variation in the dimension of the
component.
)ue to inherent inaccuracies in Manufacturing processes
tolerances have to be provided.
Concepts of asic si&e' limits' deviations and tolerances
% Shaft 1
TOLERANCES ON COMPONENTS
-
7/24/2019 Metrology basics
50/113
Concepts of asic si&e' limits' deviations and tolerances
% Hole
/
TOLERANCES ON COMPONENTS
-
7/24/2019 Metrology basics
51/113
;asi* Shat:
Bpper deviation /es0 = asic si3e Bpper limit = :
/,
TOLERANCES ON COMPONENTS
-
7/24/2019 Metrology basics
52/113
;asi* H!"e:
#ower deviation /&0 = asic si3e #ower limit = :
/2
-
7/24/2019 Metrology basics
53/113
(7ve) >el%3 #e =er% line
/-
(undamental deviationwhich is closest to the 3ero line
-
7/24/2019 Metrology basics
54/113
(Jve) A0%ve #e =er% line
/
-
7/24/2019 Metrology basics
55/113
//
:C:!:E::G:9:DS: D: K: M:
N:P:R:S:T:+::U:Y::A:>:C
S#andard Li$i# Ss#e$? - de'idin*
-
7/24/2019 Metrology basics
56/113
S#andard Li$i# Ss#e$? - de'idin*a'#%rs
,.un'#i%nal reuire$en#(Ba# i# is reuired #% d%)
2.In#er'an*ea0ili#(Ease % re"la'e$en# in #eeven# % ailure)-.E'%n%$i's(Mini$isa#i%n % "r%du'#i%n #i$e and'%s#)
a. >ri#is S#andard >S7/7,1610. Te In#erna#i%nal S#andard ISO?2867,188
In %rder #% ave universal in#er'an*ea0ili# i# is
essen#ial #% %ll%3 a uni%r$ s#andard #r%u*%u##e 3%rld.
T% assis# #e desi*ner in #e '%i'e % li$i#s & 4#s and#% en'%ura*e uni%r$i# #r%u* %u#: s%$e s#andard
%n: li$i# and 4# is es#a0lised.
/6
All #ese s#andards 0asi'all $ae use % #e
-
7/24/2019 Metrology basics
57/113
/;
All #ese s#andards 0asi'all $ae use % #e%ll%3in* #% *ive innu$era0le 4#s
,.S#andard #%leran'e (unda$en#al #%leran'e)2.unda$en#al devia#i%n
=rade of "olerance: ;t is an indication of thele+el of accuracy.
"here are 1*rades % #%leran'es IT,: IT: IT, #%IT,6
IT, #% IT 7 %r "r%du'#i%n % *au*es: "lu* *au*es:$easurin* ins#ru$en#s
IT/ #% IT; %r 4#s in "re'isi%n en*ineerin*a""li'a#i%nsIT8 #% IT,, %r General En*ineerin*IT,2 #% IT, %r See# $e#al 3%rin* %r "ress
3%rin*IT,/ #% IT,6 %r r%'esses lie 'as#in eneral
T%leran'es ave "ara0%li' rela#i%nsi" 3i# #e si=e %#e "r%du'#s.
As #e si=ein'reases: #%leran'e3i#in 3i' a "ar# 'an
-
7/24/2019 Metrology basics
58/113
*tandard "olerance: >arious ?rades of tolerancesare dened usin? the Vstandard tolerance unit@5
(i) in (m' )*ic* is a function of asic si&e.
i+ ,.,,- / 2.1 for 0,, mm
3ere: mm is t*e #eometric mean of t*e lo)er andupper diameters of a "ar#i'ular dia$e#er s#e" 3i#in3i' #e '%sen #e dia$e#er lies.
!ia$e#er s#e"s in I.S.I are? (a70: 3ere ais a0%ve and0is u" #%)
,7-: -76: 67,: ,7,8: ,87-: -7/: /78: 87,2:,27,8: ,872/: 2/7-,/: -,/7 and 7/ $$
%r !W/$$
/8
Grades % #%leran'e C%n#d..
-
7/24/2019 Metrology basics
59/113
=rades
;"
;")
;", ;" ;"0 ;"12
;"11
;"1!
;"1#
;"1%
;"1
;"1)
alues
;i ,i ,6i 2/i i 6i ,i ,6i 2/i i 6i ,i
%r IT,: T%leran'e .- J .8!%r IT: T%leran'e./J.,2!
%r IT,: T%leran'e.8J.2!
IT2 #% IT are re*ularl s'aled a""r%i$a#el:*e%$e#ri'all 0e#3een #e values % IT, and IT/
(IT, is *iven a0%ve and IT/ *iven in #a0le 0el%3)Bere ! is in $illi$e#ers
/1
0le27Aunda$en#
l devia#i%ns
-
7/24/2019 Metrology basics
60/113
;N"&N$";AN$7 "A7&$N-& =$9&*
>alues ;n6icrons
IT, IT IT,
>alues
-
7/24/2019 Metrology basics
61/113
+""er !evia#i%n (es) L%3er !evia#i%n (ei)
Sa#
!esi*na#i%n
In $i'r%ns
(%r ! in $$)
Sa#
!esi*na#i%n
In $i'r%ns
(%r ! in $$)
a
7(26/ J ,.-!)
%r ! X,2
and -./2!%r ! ,2
D/ #% F8 N% %r$ula
#% 8 J .6 !,
-
7/24/2019 Metrology basics
62/113
62
TOLERANCES ON COMPONENTS
-
7/24/2019 Metrology basics
63/113
S$-!"i* e)esentati!n ! t!"ean*es !n shats an4 h!"es
6-
%r sa#s VaZ #% VZ #e u""er devia#i%n is 0el%3 =er%
-
7/24/2019 Metrology basics
64/113
6
%r sa#s a #% #e u""er devia#i%n is 0el%3 =er%line(7ve) and %r sa#s VZ #% V='Z i# is a0%ve #e =er%line(Jve)
Te devia#i%n % #e sa# r%$ VFZ #% VZ ei#er Jve %rve
%r %les VAZ #% V9Z: #e l%3er devia#i%n is a0%ve #e=er% line(Jve) and %r VKZ #% VCZ: i# is 0el%3 #e =er%line(7ve)
Te devia#i%n % #e %le r%$ VDZ #% VKZ ei#er Jve %rve
%r$ulas are *iven #% de#er$ine #e unda$en#aldevia#i%n.
Te %#er devia#i%ns(u""er & l%3er) $a 0e deriveddire'#l usin* #e #%leran'e IT.
Standard tolerances
18 grades: IT01 ,IT0
and IT1-1T16
(undamental devations
25 types: A- ZC (For holes)
a- ! (For sha"ts)
-
7/24/2019 Metrology basics
65/113
6/
+""er devia#i%n % sa#s r%$ VaZ #% V*Z are ve and%r VZ i# is =er% and l%3er devia#i%n % #e re$ainin*sa#s is Jve.
%r %les: l%3er devia#i%n is Jve %r %les VAZ #% VGZand %r V9Z i# is =er% and u""er devia#i%n %re$ainin* %les is ve.
ce 6a'. metal condition of hole C 6a'. metal condition
7ow limit of hole C /i?h limit of shaft
All%3an'es? Te dieren'e 0e#3een #e %le
di$ensi%n and sa# di$ensi%n %r an #"e % 4# is'alled all%3an'e.
-
7/24/2019 Metrology basics
66/113
66
i #i 9 l S # d i#
-
7/24/2019 Metrology basics
67/113
esi*na#i%n % 9%les: Sa#s and i#s
A %le %r a sa# is '%$"le#el des'ri0ed i #e
0asi' si=e: %ll%3ed 0 #e a""r%"ria#e le##er and#e nu$0er % #%leran'e *rade is *iven.
,. A / $$ 97%le: 3i# #e #%leran'e *rade % IT;: is
/ 9;.2. A / $$ 7sa# 3i# #e #%leran'e *rade IT8 is / 8
.A4# is desi*na#ed 0 #e 0asi' si=e '%$$%n #% 0%##e %le and
#e sa# %ll%3ed 0 s$0%ls '%rres"%ndin* #% ea'ele$en#: #e
%le is u%#ed 4rs#.
. Tus: i #e 0asi' si=e is /$$: #e %le is 9; and6;
-
7/24/2019 Metrology basics
68/113
APPLICATIONS IT Grade Ran*e
Measurin* Ins#ru$en#s andPr%du'#i%n % Gau*es IT,: IT: IT,: IT2: IT-:IT: IT/: IT6
General En*ineerin*
-
7/24/2019 Metrology basics
69/113
T!"ean*es !taina"e !- 4ieent -an+a*t+in# )!*esses:
61
FITS
-
7/24/2019 Metrology basics
70/113
The e"ati!n es+"tin# !- the 4ieen*e et
-
7/24/2019 Metrology basics
71/113
;,ll%3an'e is Jve %r 'learan'e 4# and ve %r in#ereren'e 4
(undamental deviationsStandard tolerances18 grades: IT01 IT0
-
7/24/2019 Metrology basics
72/113
25 types: A- ZC (For holes)
a- ! (For sha"ts)
18 grades: IT01 ,IT0
and IT1-1T16
;2
FITS
-
7/24/2019 Metrology basics
73/113
Ben #3% "ar#s are #% 0e asse$0led: #e rela#i%nresul#in* r%$ #e dieren'e 0e#3een #eir si=es
0e%re asse$0l is 'alled a 4#.
!e"endin* %n #e a'#ual li$i#s % %le %r sa#: #e 4#$a 0e 'learan'e 4#: #ransi#i%n 4# %r an in#ereren'e
4#.
;-
Clearan'e 4#? Te lar*es# "er$i##ed sa# dia iss$aller #an #e dia % #e s$alles# %le: s% #a#sa# 'an r%#a#e %r slide #r%u* 3i# dieren#de*rees % reed%$ a''%rdin* #% #e "ur"%se % #e
$a#in* $e$0ers
I # 4# T i i## d di # #
-
7/24/2019 Metrology basics
74/113
In#ereren'e 4#? Te $in. "er$i##ed dia. % #e sa#is lar*er #an #e $a. all%3a0le dia. % #e %le.
Te sa# and #e %le $e$0ers are in#ended #% 0ea##a'ed "er$anen#l and used as a s%lid'%$"%nen# 0u# a''%rdin* #% #e a""li'a#i%n % #is'%$0ina#i%n: #is #"e % 4# 'an 0e varied.
Transi#i%n 4#? Te dia. % #e lar*es# all%3a0le %leis *rea#er #an #a# % #e s$alles# sa#: 0u# #es$alles# %le is s$aller #an #e lar*es# sa#: s%#a# a s$all Jve %r ve 'learan'e 0e#3een #e
sa# and %le $e$0ers are e$"l%a0le.
;
FITS C!nt477
-
7/24/2019 Metrology basics
75/113
Clearan!e F#t
;/
Mai$u$ sa# di$ensi%n W Mini$u$ %ledi$ensi%n
Clearan'e i# C%n#d[
-
7/24/2019 Metrology basics
76/113
In a 'learan'e 4#: #e #%leran'e =%ne % #e %le isen#irel a0%ve #e #%leran'e =%ne % #e sa#.
;6Al3as 'learan'e
Clearan'e i# C%n#d[
Clearan'e i# C%n#d
-
7/24/2019 Metrology basics
77/113
;;
Min. 'learan'eMin. si=e % %le 7 Ma. si=e % sa#
Ma. 'learan'eMa.si=e % %le 7 Min.si=e % sa#
In #is #"e % 4#: #e si=e li$i#s %r $a#in* "ar#s ares% sele'#ed #a# 'learan'e 0e#3een #e$ al3as
%''ur.
Clearan'e 4#s $a 0eslide 4#: eas slidin* 4#: runnin* 4#: sla' runnin* 4#and l%%se runnin* 4#.
E? Pull r%#a#es %n sa#
!learance fit in various engine components
Clearan'e i# C%n#d[
Clearan'e i# C%n#d[
-
7/24/2019 Metrology basics
78/113
E>E?ha+st 8a"8e
S>S)a@ P"+#
I>In"et 8a"8e
V>Va"8es
P>Pist!n
R>C!nne*tin# R!4
C>Can@ shat
W>Wate *!!"in#
-
7/24/2019 Metrology basics
79/113
;1
Mai$u$ 9%le si=e W Mini$u$Sa# si=e
Alwas interference for all si3es
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
80/113
Min. In#ereren'eMa. si=e % %le Min si=e % sa#Ma. In#ereren'eMin. si=e % %le Ma. si=e % sa#
8
In #is #"e % 4# #e si=e li$i#s %r #e $a#in*
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
81/113
8,
In #is #"e % 4#: #e si=e li$i#s %r #e $a#in*"ar#s are s% sele'#ed #a# in#ereren'e 0e#3een#e$al3as %''ur.
In an in#ereren'e 4#: #e #%leran'e =%ne % #e%le is en#irel 0el%3 #e #%leran'e =%ne % #esa#.
Te a$%un# % in#ereren'e de#er$ines #e de*ree% %r'e reuired #% asse$0le %r $a#e #e sa# #%#e %le.
Te uali# % sura'e 4nis % #e $a#in* "ar#s:#e si=e % #e dia$e#ers: #e $e#als r%$ 3i'#e are $ade: all ae'# #e uali# % #e 4#%0#ained.
E? ,.>earin* 0uses in #eir %usin* 2.S$all end % #e '%nne'#in* r%d & "is#%n
"ypes of ;nterference ts? Tese are 'ea" and@ i # # d F i i # # # #
-
7/24/2019 Metrology basics
82/113
e@'ien# $e#%d % F%inin* #%*e#er #3% '%$"%nen#s.
1.7i?ht press t(/,p): i#s use is '%n4ned #% #e
asse$0l % err%us '%$"%nen#s 3i' reuirere$%val %r "ur"%ses % rene3al %r re"la'e$en# a#a la#eral da#e.E? !rill 0us in Fi* "la#e
##"?
-
7/24/2019 Metrology basics
83/113
8-
"ress (it- ush in a frame "ress (it- ush in a housing
!.Press t(medium press or li?ht dri+e tD
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
84/113
!.Press t(medium press or li?ht dri+e t/,Es): Inv%lves ea#in* %r reri*era#i%n % %ne "ar#:"%3erul %r'es are 0r%u*# in#% "la: resul#in* in a
"er$anen# F%in# 0e#3een #e #3% '%$"%nen#s.
E? >earin* 0uses in all% %usin*s %r 'as#in*s:"u$" i$"eller sa#
#./ea+y dri+e t: E? Clinder liner in a 'as# ir%n0l%': "r%du'in* a "er$anen# %r se$i7"er$anen#asse$0l 0e#3een liner and 0l%'.
lar*e si=es reuire ea#in* and srinin* #% av%id #e8
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
85/113
C$"in4e Line Shin@ it
Shring (it- #ocomotive wheel
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
86/113
86
Steel tire on a steam locomotive's
driving wheel is heated with gas
flames to e1pand and loosen it so it
ma be slipped over the wheel.
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
87/113
8;
ooden wheel of bulloc$ cart with iron rim
In#ereren'e 4# C%n#d..
-
7/24/2019 Metrology basics
88/113
88
A))"i*ati!ns
FITS C!nt477Trans#t#on F#t
-
7/24/2019 Metrology basics
89/113
81
O0#ained 0 %verla""in* % #%leran'e =%nes % sa#and %le [[!%es n%# *uaran#ee nei#er 'learan'e n%r
in#ereren'e 4#
Trans#t#on F#t Contd&&
-
7/24/2019 Metrology basics
90/113
In #is #"e % 4#: #e si=e li$i#s %r #e $a#in* "ar#s are
s% sele'#ed #a# ei#er a 'learan'e %r in#ereren'e $a%''ur de"endin* u"%n #e a'#ual si=e % #e $a#in*"ar#s. I# $a 0e n%#ed #a# in a #ransi#i%n 4#: #e#%leran'e =%nes % %le and sa# %verla".
1
Transition fit !ontd..
-
7/24/2019 Metrology basics
91/113
1,
Ma1imum clearance= Ma1imum limit si3e of hole Minimum limit si3e of shaft
Ma1imum interference = Minimum limit si3e of hole Ma1imum limit si3e of shaft
Te #ransi#i%n 4#s $a 0e force t5 ti?ht t and pusht.
In#ereren'e is s% li*# #a# and "ressure is su@'ien# #%'ause en#r % #e sa#.E? 9and 3eel and indein* dial eed #% sa# (La#e$a'ine 3i# lead s're3)
A))"i*ati!ns
Transition fit !ontd..
-
7/24/2019 Metrology basics
92/113
12
A))"i*ati!ns
-
7/24/2019 Metrology basics
93/113
"ush (itTransition fit !ontd..
-
7/24/2019 Metrology basics
94/113
1
-
7/24/2019 Metrology basics
95/113
1/
L%3er devia#i%n % %le is =er%
+""er devia#i%n % sa# is =er%#ow limit of hole=basic si3e
+igh limit of shaft = basic si3e
"o obtain diFerent types of ts5 it is ?eneralpractice to +ary tolerance zone of one of the
-
7/24/2019 Metrology basics
96/113
9OLE >ASE! SYSTEM7
Si=e % %le is e"# '%ns#an#:sa# si=e is varied#% *e# dieren# 4#s.
practice to +ary tolerance zone of one of thematin? parts
S9AT >ASE! SYSTEM7Si=e % sa# is e"# '%ns#an#:%le si=e is varied
#% *e# dieren# 4#s.
16
asic hole is chosen I
)ifferent (its are obtained
b changing shaft si3e
)ifferent (its are obtained
b changing hole si3e
/ole basis system *haft basis system
-
7/24/2019 Metrology basics
97/113
,.Si=e % %le 3%se l%3erdevia#i%n is =er%(97%le) isassu$ed as #e 0asi' si=e.
Si=e % sa# 3%se u""erdevia#i%n is =er%(7sa#) isassu$ed as 0asi' si=e
2.Li$i#s %n #e %le are e"#'%ns#an# and #%se % sa# arevaried #% %0#ain desired #"e %4#.
Li$i#s %n #e sa# are e"#'%ns#an# and #%se %n #e %leare varied #% ave ne'essar 4#
-.9%le 0asis ss#e$ is "re"ared
in $ass "r%du'#i%n: 0e'ause i# is'%nvenien# and less '%s#l #%$ae a %le % '%rre'# si=e due #%availa0ili# % s#andard drills andrea$ers
Tis ss#e$ is n%# sui#a0le %r
$ass "r%du'#i%n 0e'ause i# isin'%nvenien#: #i$e '%nsu$in*and '%s#l #% $ae a sa# %'%rre'# si=e
.I# is $u' $%re eas #% var
#e sa# a''%rdin* #% #e 4#reuired
I# is ra#er di@'ul# #% var #e
%le si=es a''%rdin* #% #e 4#reuired
/.Gau*in* % sa#s 'an 0e easiland '%nvenien#l d%ne 3i#adFus#a0le *a" *au*es.
>ein* in#ernal $easure$en#:*au*in* % %les 'ann%# 0e easiland '%nvenien#l d%ne.
1;
FITS
e!o''ended F#ts *ased on $an+"a!t+r#ng ro!esses and Appl#!at#on:
-
7/24/2019 Metrology basics
98/113
e!o''ended F#ts *ased on $an+"a!t+r#ng ro!esses and Appl#!at#on:
18
-
7/24/2019 Metrology basics
99/113
-
7/24/2019 Metrology basics
100/113
,
-
7/24/2019 Metrology basics
101/113
,,
-
7/24/2019 Metrology basics
102/113
,2
-
7/24/2019 Metrology basics
103/113
,-
-
7/24/2019 Metrology basics
104/113
Euivalen# 4#s %n #e 9%le70asis and sa#,
-
7/24/2019 Metrology basics
105/113
,/
-
7/24/2019 Metrology basics
106/113
,6
-
7/24/2019 Metrology basics
107/113
,;
Assume dia. Step of 56 I 78 I
() of " hole is TJ ? : to
-
7/24/2019 Metrology basics
108/113
,8
Te 4# is in#ereren'e.
!ieren'e 0e#3een T%leran'e & All%3an'e
-
7/24/2019 Metrology basics
109/113
"olerance $llowance
I# is #e "er$issi0le varia#i%n in#e di$ensi%n % a "ar#(ei#era %le %r sa#)
I# is #e "res'ri0ed dieren'e0e#3een #e di$ensi%ns % #3%$a#in* "ar#s(%le and sa#)
I# is #e dieren'e 0e#3een
i*er and l%3er li$i#s % adi$ensi%n % a "ar#
I# is #e in#en#i%nal dieren'e
0e#3een #e l%3er li$i# % %leand i*er li$i# % sa#
Te #%leran'e is "r%vided %n#e di$ensi%n % a "ar# as i# isn%# "%ssi0le #% $ae a "ar# #%
ea'# s"e'i4ed di$ensi%n
All%3an'e is #% 0e "r%vided %n#e di$ensi%n % $a#in* "ar#s#% %0#ain desired #"e % 4#
I# as a0s%lu#e value 3i#%u#si*n
All%3an'e $a 0e"%si#ive('learan'e 4#) %rne*a#ive(in#ereren'e 4#)
,1
Ge!-eti* Di-ensi!nin# an4 T!"ean*in# .GD & T3
-
7/24/2019 Metrology basics
110/113
,,
Geometric tolerancing reading helps to understand to specif and
control the form, location and orientation of the features ofcomponents and manufactured parts.
Geometric )imensioning and Tolerancing is an efficient method
for describing the tolerancing mandated b the designer of the
part.
The )atum a1is or )atum planes are to be used for locating other
features.
ith G)IT all inspection will result in the same result. t will helpto understand if the dimension is within or out of tolerance.
Geometric )imensioning and Tolerancing forces the designers to
totall consider functions, manufacturing processes, and
ins ection methods.
T!"ean*e Feat+e In4i*ati!nBFeat+e C!nt!" Fa-e S$-!"7
-
7/24/2019 Metrology basics
111/113
,,,
T!"ean*e Feat+e In4i*ati!nBFeat+e C!nt!" Fa-e S$-!"7
Pi-a$ Dat+-, Se*!n4a$ Dat+-, an4 Tetia$ Dat+- P"anes: )atums
must be perpendicular to each other.
-
7/24/2019 Metrology basics
112/113
,,2
Pi-a$ Dat+- P"ane:The primar datum is selected to provide functional
relationships, standardi3ations and repeatabilit between surfaces. A
standardi3ation of si3e is desired in the manufacturing of a part. !onsiderationof how parts are orientated to each other is ver important. The chosen primar
datum must insure precise measurements.
Se*!n4a$ Dat+- P"ane: Secondar datums are produced perpendicular to
the primar datum so measurements can be referenced from them.
Tetia$ Dat+- P"ane:Tertiar datum is alwas perpendicular to both the
primar and secondar datums ensuring a fi1ed position from three related
parts.
-
7/24/2019 Metrology basics
113/113