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8/13/2019 Measurements unit-3
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MEASUREMENTS11 ES 102
L T P
3 0 2
M. NAGESHASSISTANT PROFESSOR
Measurement of
LINEAR DISPLAEMENT
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General objec!"e
3.0 To #n$ersan$ he %eas#re%en o& '!near (!s)lace%en #s!ng $!&&eren *)es o& %echan!cal an$ o)!cal $e"!ces
S)ec!&!c objec!"es
3.1 Inro$#c!on o (!s)lace%en %eas#re%en
3.2 (!%ens!onal %eas#re%en
3.2.1 +ern!er ,al!)ers
3.2.2 Scre- Ga#ge
3.3 Ga#ge blocs
3. Iner&ero%eer O)!cal %eho$
3. Pne#%a!c $!s)lace%en ga#ge
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INTR!DUTI!N T! DISPLAEMENT MEASUREMENT
(!s)lace%en
I !s he shores $!sance be-een -o )o!ns4 -!h a $e&!ne$ $!rec!on.
+ecor 5#an!*.
A "er* !%)oran )ara%eer o cons!$er !n !n$#sr* !n "ar!o#s a))l!ca!ons.
E6 he $!s)lace%en o& 127% be-een -o ho rollers !n )a)er !n$#sr* o
$e&!ne he h!cness o& )a)er.
One o& he %os !%)oran %echan!cal 5#an!* ha aes a "!al role!n !n$#sr*
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8 San$ar$ &or $!s)lace%en !s "en#t$an$ #n! !s metre.
1. (!sance be-een -o %ars o& a ro$ e) !n Par%s.
2. 19:0 cr*)on;: so %an* -a"elenghs < 1 %ere
3. 'aes san$ar$ !s 19;2 = "eloc!* o& he l!gh !n "ac##% &or $#ra!on
o& 1 / 299>92; secon$s
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T*)es o& !nsr#%ens
Mechan!cal *)e
+ern!er ,al!)ers Scre- ga#ge M!cro%eer
Scales Ga#ge ?locs
Pne#%a!c *)e
(!s)lace%en ga#ge Fla))er=No@@le se #)
Elecr!cal *)e
Poen!o%eers '+(T /R+(T
Elecro%agne!c $e"!ces ,a)ac!!"e )r!nc!)les
Elecron!c *)e
Enco$ers P!e@o $e"!ces
Accelero%eers
O)!cal *)e Iner&ero%er* Iner&erence
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DIMENSI!NAL MEASUREMENTS
'o- "al#e$ $!sance %eas#re%ens are calle$ $!%ens!onal %eas#re%en.
s#all* less han 1 %%.
&ern%er 'a"%(ers) m%'rometers are bes e6a%)le o %eas#re he
$!%ens!on o& a g!"en s)ec!%en acc#rael*.
&ERNIER ALIPERS*
The +ern!er cal!)ers g!"e a $!rec rea$!ng o& he $!sance %eas#re$ o h!gh
acc#rac*.
These cal!)ers co%)r!se a cal!brae$ scale -!h a &!6e$ ja-4 an$ anoherja-4 -!h a )o!ner4 ha sl!$es along he scale.
&ern%er 'a"%(ers 'an measure %nterna" +%mens%ons ,us%n# t$e u((ermost -as/
eterna" +%mens%ons , us%n# t$e "oer -as/.
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1. !uts%+e -as #se$ o %eas#re e6ernal $!a%eer or -!$h o& an objec
2. Ins%+e -as #se$ o %eas#re !nernal $!a%eer o& an objec
3. De(t$ (roe #se$ o %eas#re $e)hs o& an objec or a hole
. Ma%n s'a"e scale %are$ e"er* %%
. Ma%n s'a"e scale %are$ !n !nches an$ &rac!ons
4. &ern%er s'a"eg!"es !ner)olae$ %eas#re%ens o 0.1 %% or beer
5. &ern%er s'a"eg!"es !ner)olae$ %eas#re%ens !n &rac!ons o& an !nch
6. Reta%ner #se$ o bloc %o"able )ar o allo- he eas* rans&err!ng o& a %eas#re%en
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Scale *)e
(!al *)e (!g!al
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MIR!METER ,SRE7 GAUGE/*
M%'rometer s're #au#e)!s a $e"!ce !ncor)ora!ng a cal!brae$
scre- #se$ -!$el* &or )rec!se %eas#re%en o& s%all $!sances
!n %echan!cal eng!neer!ng an$ %ach!n!ng.
M!cro%eers #se he )r!nc!)le o& a scre- o a%)l!&* s%all $!sances
ha are oo s%all o %eas#re $!recl* !no large roa!ons o& he
scre- ha are b!g eno#gh o rea$ &ro% a scale.
Bors #n$er -o )r!nc!)les4
The a%o#n o& roa!on o& a scre- can be $!recl* relae$ o a cera!na%o#n o& a6!al %o"e%en.
A g!"en a%o#n o& a6!al %o"e%en -!ll be amplified!n he res#l!ng
c!rc#%&eren!al %o"e%en.
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rame* The ,=sha)e$ bo$* ha hol$s he an"!l an$ barrel !n consan rela!on o each oher.
n9%"* The sh!n* )ar ha he s)!n$le %o"es o-ar$4 an$ ha he sa%)le ress aga!ns.
"ee9e : arre" : sto';* The sa!onar* ro#n$ )ar -!h he l!near scale on !. So%e!%es +ern!er %ar!ngs.
o'; nut : "o';
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Three %os co%%on *)es o& %!cro%eerD
The!r na%es are base$ on he!r a))l!ca!on
1. !uts%+e m%'rometer* T*)!call* #se$ o %eas#re -!res4 s)heres4
sha&s an$ blocs.
2. Ins%+e m%'rometer se$ o %eas#re he $!a%eer o& holes.
3. De(t$ m%'rometer* Meas#res $e)hs o& slos an$ se)s.
S(e'%a"%=e+ t>(es
n!"ersal %!cro%eer ?la$e %!cro%eer T#be %!cro%eer
?ench %!cro%eer '!%! %!cro%eer ?all %!cro%eer
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Objec $!a%eer "al#e< Ma!n scale (!al scale 6 ',
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GAUGE ?L!@S
Recang#lar seel blocs %ach!ne$ an$ la))e$ )ol!sh a s#r&ace #n!l
s%ooh an$ har$ene$ !ncreas!ng !n har$ness o& a %eal.
The!r s#r&aces are so h!ghl* )ol!she$ an$ r#e ha -hen r#bbe$ o"er
each oher4 hese s!c ogeher.
Ga#ge blocs are #se$ &or chec!ng he!gh ga#ges4 %!cro%eers4
+ern!er cal!)ers an$ oher )rec!s!on e5#!)%en.
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D%fferent sets
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Measurement of +%ameter
Measurement of $e%#$t
?locs are no sace$ b* s!%)l*
res!ng he% one on o) o& anoher.
The* %#s be -r#ng ogeher !n
s#ch a -a* as o el!%!nae all b#
he h!nnes o!l &!l% be-een he%.
Th!s o!l &!l%4 !nc!$enall*4 !s an!negral )ar o& he bloc !sel&D !
canno be co%)leel* el!%!nae$4
s!nce ! -as )resen e"en a
%an#&ac#re. Pro)erl* -r#ng
blocs %are$l* res!s se)ara!on
beca#se he a$hes!on be-een he
s#r&ace !s abo# 30 !%es ha $#e
o a%os)her!c )ress#re.
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?locs %a* be asse%ble$ b* WRINGING-o or %ore ogeher o
%ae #) g!"en $!%ens!on.
E6= suppose that a dimensional standard of 14.715 mm is desired.
The procedure for arriving at a suitable combination might be determined by
successive subtraction, as indicated below.
?"o';s use+
Desired Dimension = 14.715
Ten-thousandths place = 1.5 1.5
!emainder = 1".71
#undredths $lace = 1.%1 1.%1
!emainder = 1%.5
Tenths $lace = %.5 %.5
!emainder = 1.
Two wear bloc&s = 4. '%. each( 4.
!emainder = ).
*nits $lace = ). ).
!emainder = . Check. 14.715
Pro'ess of us%n# t$e #au#e "o';s for measur%n# +%mens%ons
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Meas#re%en o& angle
b* gage blocs
se o& ga#ge blocs !n !n$#sr*
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Eam("e*In he %eas#re%en o& he!gh o& a6!s conrol nob
Toal he!gh o& nob< ?ase he!gh s#% o& he !n$!"!$#al ga#ge bloc
"al#es #se$
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INTER8ER!METER ,MIHELS!NS/
Interferometr>re&ers o a &a%!l* o& echn!5#es !n -h!ch -a"es4
#s#all* elecro%agne!c4 are s#)er!%)ose$ !n or$er o e6rac !n&or%a!on
abo# he -a"es.
Iner&ero%eers are -!$el* #se$ !n sc!ence an$ !n$#sr* &or he
%eas#re%en o& s%all $!s)lace%ens4 re&rac!"e !n$e6 changes4 s#r&ace
!rreg#lar!!es ec.
(!&&erence be-een he -o -a"es-a"es ha are !n )hase -!ll
#n$ergo consr#c!"e !ner&erence -h!le -a"es ha are o# o& )hase
-!ll #n$ergo $esr#c!"e !ner&erence.
PRINIPLE
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F!g#re sho-s he
consr#c!onal &ea#res o& a
M!chelson !ner&ero%eer4
-h!ch can be #se$ o
%eas#re he %o!on o& an
objec.
The %!rror a M !s hal&
re&lec!ng an$ hal&
rans%!!ng.
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Monochro%a!c l!gh &ro% he so#rce !s coll!%ae$ b* he
lens ono he s)l!er )lae -h!ch !s hal& re&lec!ng an$ hal& rans%!!ng
o-ar$s he %!rror an$ -or )!ece.
?oh bea%s are re&lece$ bac an$ reco%b!ne$ a he s)l!er )lae an$
hen rans%!e$ o he screen.
Fr!nges %a* a))ear on he screen res#l!ng &ro% $!&&erences !n he
o)!cal )ah lenghs o& he -o bea%s.
I& he !nsr#%en !s )ro)erl* consr#ce$4 hese $!&&erences -!ll ar!se &ro%
$!%ens!onal "ar!a!ons o& he -or )!ece.
The !ner&ero%eer !s )r!%ar!l* #se$ &or cal!bra!on o& gage blocs.
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Press#r!@e$ a!r !s &e$ hro#gh he or!&!ce an$ !s ejece$ &ro% he no@@le
o-ar$s he &la))er.
The &la))er !s )os!!one$ aga!ns he no@@le o)en!ng an$ he no@@le
bac )ress#re conrolle$ b* he no@@le=&la))er $!sance.
As he &la))er a))roaches he no@@le he resr!c!on o no@@le !s !ncreases
hereb* !ncreases he bac )ress#re P0.
I& &la))er co%)leel* closes he no@@le bac )ress#re e5#al o !nle a!r
)ress#re.
I& &la))er a-a* &ro% no@@le a large $!s)lace%en hen bac )ress#re
!s e5#al o a%os)her!c "al#e.
The change !n bac )ress#re !s )ro)or!onal o $!s)lace%en.
PNEMATI, (ISP'A,EMENT GAGE
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