Document zoqavqEX6XyNbnyOXZbVvD3M6
February 3* l$6l
Iz a d rooms and smrr BtnxEra
>0, 159
To Hsnbere of the Lead Industries JUtoclitlMi DC5WVZD MUD BMRU08 OVUrmO tlAD
Boise la beconlag oar* end nore of prohlee in protecting
the welfare of wartere la all hinds of Industries. Effective
cans of controlling noise art not always wall understood.
"v
Consequently wa recently sponsored research project with com " ,
of the country's leading fims at acoustical engineerst Bolt Jh * V
Baraask and Sevan, to detendae bow lead, which by Its vary
"
nature acta aa a good sound harrier, can aid la the solution ::>. ;
of noise prnhlana.
,
Aa a result wa reoantly published the-attached report based
on this research project. Ve he11rev that it contains valuable''.*-' basic lafornetloo oa the subject which will be helpful to say* one faced with noise control problem.
Additional copies are available free of charge la quaotltlss
up to 23 and la larger quantities at our coat of 10 coata par oopy.
Z hope you will find this publication helpful.
Very truly youra.
.
IttXsJXS Att.
.VT '
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h*u<lM"```r>```-l-|-T"*>T*^ -. -- --/rtmnnq
nwlicri Nmuttanti, w i)h
and appH<atloM
>*< y.
, ** /?-
LIAO INDUSTRIES ASSOCIATION
*M MADISON AVINUI, NIW YORK \7, NIW YORK
A.LA. NO. 39
t
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l *; e-
the need for a better sound barrier
.' '
tobl# f COItfMtS |
ft
ulnHaWim /
It
Hew ulwblt k liltact? Thoafh
(hrtt in (rw ntUwn dm t
<w art * inn dollar-and<roa nm>
la M fu< Mm. dim k DO dak
(ha the mmy plant er oka, M
ftmm at bomr AM nmttncr W.
Mm dul "tmnttre" potan <>
(>pic and imuhtm lodoyt is coco,
ftaeic prtdtf ajo*t place to hat and
work. And. Hr and larpc. people do a -- hmrr jk when (Vy km a pin
|dw to work.
fff
Yrt. what otter caa operate ta to-
:.
di)'i hamm world wkM lype-
am and hlrrtiuanl Wt hone* ...
am widmi. (u, TV and nerd..
- risfrttt TV plant (ha hatmuwrw
y ad dmwHag none k nieMtad. Bum we wnl d[idM
?U '"'
(hr nfAfoinr whnh caotn nnkr. aw
' kan aad Mhcrv KH*da aad far* *% )
tonrt --a hr dnipnd l> nakwr
with more nwimial aida, the ana* irkrtM friddim hnmnrt nm kn* pcrtjaL
Two atm* inhactm prcbltoo are imrdtrd. The hrW aa <hr pmeation w mimmiikin rd mad whdwl --(hr aw ad dpi or awAxal bln
arrnampln TV Mnmd. rtdoctaoa ad amd ItjpentDrm. hat irhcd aa aaaa-
MIT imlnaua aad "asdad* Walk la mdmr mnn d am
Aa a mall ad tfadm mark far (hr Lrad Indmint* Amxuiaoa by (hr acwamal (omahtaf tom ad Bofc. Nranrk and No*man mar warprumn
larti aha wdao)! loaad trammo ton hair io m to lyk Thry hair liunj that a k fMr ruaddr to twald walk and.panaimt whah lad 'Tnrewte" Mi mwtd. yrt aitutty wnyh tra and niupj Im *for ihan (anmlira ally iMinnaled walk
li it toyed (ha iht itpn aa (hr Wkia| pacri will writ aa an aid to antoitttt and draica tnfinaen to pm *h my tonUiny and nwiharwa] dprn WrW *>ih hMI ihrinirliMai |m m iId mij E kml IIMHftwara and will tntiauayr (hrm Mi tnieMiyalt dmlty (hr UMfuInnt id lrad m nd*ma priddriat td (hit kind
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(: pvrTstt fevi :>/; .' -' '-^V^
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$ IMPROVED Sound Barriers Employing Lead
wHcrt btodu MMMvrf?
M (fpnodlMllM UmI
The lot of new ouinuli aod tr-
Lead in aa tbma choice ia the harriera, Wadi to the tnrpciaio| coo-
lUtrianl prodatla lo biudt fcaond hit pm ui n po*in| loafce. it iadttln wfun| gwnuli, acncatiul tik mi pluuc*. movable fiiwum mi ioat type*. There in ipecitl twldiflf tnnniqgct, too, fof larauulI material*. foe fuch, focn, walla, and ceiliofL
acatih foe a heavy, lonp material foe Coautnadane of {wrtataooa. Having a deowty two of three tom that of Cnmrrm building maaeruh (and 10 0 IS Inner that of wood) it it alio a Trap" material io the acnuatkal aenae That ce--fiioattoa of properties, approach^ the ideal foe anaaatical
cltarien that if two etpaaUy IMM aouod barrier parta mm are hah, one of lead and one of any other cunaa-- eanafroctma, the lead barrier will ah moat invariably be the byhtcr.
Table I comparer thdtaew aod coat foe lead aloeie rema mm partatwa amcriak.
It h important lo doccra between
uKfitb that o(> in--J trmmiiartoa
: mi thoae which wn^jentM toon4
.: redectma. A moo mi m m Kneit ole, foe example, want lew oony be-
TMU I
uae modi otipMMi| to it alt M frdectrd buk to i keener to the room. A notey coarmalaoa ocit dnoc, how-
Type f
WjM
ffrttka Weiykf of Portlheo Mi
notarial Cad
!tadm
net. cm penetrate the tile And none* from the tiled toon leak cait to ad. Jio iMfit M--M----O---L-
To Ucatk thia anrt of TeJup* the partem mod letne a--t B hate two ley peopcrtier:
t*hd/rt.oln*f
ftywaaf haatM
US Id Id . Id
u w
laMIMa M US .41
Vn*
aydr.laed
s'**
Mm Mmaydr.laef
U1 1U SV4 lOd
ITS* U7 * l/U -.- i/a
1ST 1.11 --,sf * l/W
welykl " The pcoct the atyfa (per atpaare foot) the pcatet the no. txioa, ot Uaoaamaaoo loaa, pm by dir partition material.
IbnpnOM -- The acowrttcal ethoency of any awtrrul u a to--d noiaioe drpeoda net ooly -- at ar/fa but -- at* Teafof atidnew.- If a partem it Old tnuofb it c m actually loae moth of the advantage * pen by beao/t heavy. Thta happeni became the atidnew of a partition acofearer much more raprdty thao in weaffd aa a*o thaduaeaa it metraard.
OXiiWiA a AamwOafiU 'Hamon hah mb m M M4
USi 41 ,
ltd M lid
US* tit im
l;O*
US
.. 44
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r.- h.,r,^#
UP IV M l/M
l-M. 4J4 f 1/4
Mil I) at taiM h aowkh (lOlae Itt aunyta. I) mod ky MAa( taad amtaf M by loo h |*
A fractal rule k:
LIMPNESS BLOCKS SOUND
4 Ik
ww
\;
i I t WEIGHT BLOCKS SOUND
r. >
UMP WEIGHT SAVES SPACE
Surfacing:
MALLEABLE
TACKABU MMTABLC
MWiAgl wMl
lighter portMon*
The i^tuUft at k aright la thr Rructurtl cngmrer a at meat *ignlkint than might at tn It cbmout tut eaample, hilc a (indtrWncfc nuiibct ngha JJ fcny (l . >V; lb.'q ft at lot *tU taaitM ta iin mwiial nolaiim lot. Tho*. dorr it * uta| at U-Vj fti tar every up ft at partition rmkt at IM B> fat mry boat fact if dir ceiling height in the roam a 10 ft Thu added i>|h iH far rrtaut HI WRUtt (loot alab ducknna Irauit fat tupport at die |iMMi lad tho wnat!| hum, <ctumt wf to an all thr *ay down to die faubngt.
AmRhrr tin far fractal earttadcrtljao M ntn-.il Wifh may bt nett unparlaM dua any other factor it MR, far one iraion or another. to aomMKjl bttncT bus to be man J jtiaiallf. Soot hoimat daon or lUit| putRiant are taatnyuev
A imm at dir TiUr ilmt dm uthet matmth ub up to damp Ota moth ibklarM it Inf to actum fifth tipul ipcech penny. Thr tmttl uttif ftptntmtil by tnRilrt partilian thknrva am fee Kurt an dir mariird tnrfol area M)m t hold mg By repining I bunk Mill Midi h't in. had thntt (attuning t 2 in Uwltnoi fat t unmoral truant lyt ktn for (hr had) lit nnp at nr (I tut ifttr na It out hurt on ja innyr htilla| tun loin at tp pmontltly ID pet U] ft, IM 0 M trip repeevrntt t untp at trpmu nuttly JI M pot IfOrtt fR a< ptm
Hon
looking of Wod
m a building material
living Irti fat tauai barrier partRwni mjjr, u birtl, ttrai unonhudrjR. Of {nine rtiio and irhviwua Mu-la*. li oril it cthtf fuilitm ohm urinal oond (cnitHHit [mid, hit* long ted had ai an margral put ct aallv. doort, and partRwm Andr fr-m tmtiiy, u dim antdnog to mommtod at candnna trad at a loond
bamrt in bmldoigif
Lett took at trot Thr am n-
prwive had putRiao ccRttedcrtd m Table I con ft ho per Kpurr foot, or it! pet running (out in I mam nth a Irti foot ceiling Of dot. abnl $?.*> wnh at attbir tfurr rt returned per four and an onkima littag n tank
betlute a lighter building mtgR n
irqotttd b oaold appear, thoaigh, dm had canon rronanoetBy irpUee Man totxmnr bad att at about Ito per neaimt foot for inmar panemu anlna maUmg ipat er wigh r r i high fnmu|
fwniihm^' eminhlixh. hct tartior *m tiomminml mid-andtitan Math, on do war ham, R ran be m dm dir rmta at a had parti-
tlion nail air (raapmtnt-.Jaderd. hai
hat wt aa advantage mf oarim, Iwotl metal paaUtam.M.i .*
AMdr Iturn tiwiietatinm at c o m, lead hit many am at a holding
material. It o inhabit . it ran be
ailed, tuplrd. or. ia light ueightv cm ertnetitrd m [dare. It it puneaMr --had duet at mpftiid ia ready tut punting ehem any further lurfne rerparatMti, and R forma a durable bond Rh alt nanettiimal puon lead n hrrpruof. It it malleablefold R oe bend n net any regular Marinr h (an am be ~dtnacd net umpire turf net finally. lead it eauly tut and muked A m, diearv oe even a knife ran hr mej m kenng
r*cwor
CUTABU %T>
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What the data show
? iTlj lit , | i ; : i i ; * i i i t i * *
;;i!Tiitnni!i!rl!h:;,iii;::
.`Jill...... 4.:
'H-H-* *}t h 4|
1 * 51 * kii rt<*Tl '
;.u j
rFlirtiilgiis.
nr:Jirn?iTanmif.
. . * MMM * MM MMMn M
* P ': ' > ? IJrfS;--------------
: `fHijiiJijj liiiU-i-t^
tht Waannininn 1at cl av
IfjJ |WltrtwD pirttri
Ac
frrfKwy, (Fiuft I) C (M he w*
thjt the fcm Mhftiin Kb fttifafcy
ipintht puvnt *hm the tnAUMMi
|u m irbo itntf to M> 4eukk
Venr*fcat aN*e chit (tryiftxy *
m Ac lriAimnM km mt accvrK
Ai k^iti (fnjufY>iK\ Ac km *
tiriet (met lapdly. At k**cr fie*
i^arftiri (he
km m mC
hy the
<M (hr IraJ Ihe 4P
Ht hy the Cilnm ct the lr<4 (The
k* tfitfnrM (he ptt>tKio tut, the
father (he /mjurmf <d (hr 4(S dMt
ihr hfjchrr the cncraH tfimmiMi
Io m)
In *, held mmwtwttt
he 4 |4>Nn) 1 inJrHktl *!! arc mc j -
fatal %rth the (iliulitrd tflnl id
jsuiMwo t4 kad (10M m ihwk
Ai krvJ iidi^rmei, Fi|Wt I
iht the Tt i d eorral iienwc
4(J |*rtiiinm Ihr^e new ln*f
Km pkeied a*4rw the j*f&ht W
IffijurvN^ end (hr turf*e t<|N d
gk thr petal*** fip#r l Arm* tkafty
B thr n|wl; h<^h drmtl) l OiImh
I#j d kad, r*f*4 tally hm <rw*
p#vd *h 4 rlh*U( miNftt) HmH 4
h ^4^c > twrt * Bm
* \ U4 metw atKCBirB (ati me Mni a* n< iw *m
H- i
!Ii i. * i* i A*kM Wat|1
i' Vsrsii
How lead can be used as an acoustical barrier
C
food "woftpopor"
Meny ojttmc pnWcm* erf
iwiS be rtmrdifd rf the
weight c4 the till (uiM he ugp*h-
ready UKitiid withe* tarrtMf ttt
liJrtra itjptifMindy S*rwe the vti^hl
erf s u a^ rypweJ [wtiMjm (auU br
AmNo J by the nUrfa erf Ufif *4
ktd ii d)
m e*h t*de, frw
inaihitMm fu*e to be merfe m the
(neenktma to iipuhiiid^ incfne
the KomtuU itnletm* mihM
tohj <k*h wiuier to InM torb
tbnjf Ml prainten
iho W
tmd m eiHpifCf-IAt (Jml ,
Thetr cay he mnM4e epph-
tm*m m oyttwoi the k mu c uoh*
Ua {HDpcTto 4aen Af'ptou-
amrfy l14 . dock InJ %hect wh
i hiitititt ik s J temer Uauultd to
ae (m at die there ad * poMt-
MMut *rfhrw*e lamitod to the
foot far (a eudt he eiirrf to cat
ee K<h fon erf foxi *hne foffc
mote mfoiea ttwna/^i die rfoun n
wipeed-enh u mi htodae Malm,
ton, kU4K ad foW UUlv
Thn, for n ample. %fm i four
Ukn *tr is erfrf hstd<n( di typdl
foefcmm/d* |m1 rfoon, thro Joan
(M be
into dion erf hdet
atvMK mdun rf wdtr m
md iffrMiKf I7 tMOffy CtWHl-
w^[ leaf iwrt ad tnaaMjC Che rdpt
iwodtlwry mc Wmit m
le4 liwoKtd to forty (U
drrti erf mtoefteh tuck m ikironwni
tin hr firmed w*o muhnrfy tmh
mk i fee n(f pnn erf nppneM
5wih 1 (roerwtxo hn the *rfenu/ce
rf h>chrf l/tovnouro Ion ad (to
torfereUr diopa| hk (he citerwe
Mutrfa) puitdn 1 M (Iren, *cei-
Mtffkt
A kiJrd fdee aj piwir ten
wltve idhrmt or inyly ikm kerf fed
Midi ptMwn vMttie idtwt hot
uowJrfddt *pp4etwr Srh mi the
tehM*i erf few mohirefy ttrh
w#n end mi apnto| thr unnlKii
jmpfin erf p h (w | nxlfMin te
ttMnfrff. w the mWttirt erf tmeJI
wwwh*w mm **f tioililwnm e/tot
de (frfnrfwil rkmenti 1rf the ae
ton brn (trrtd ad niktod to me
ato(, ito oc rrf mh 1 kerf Up
wr>n itorf fatlMm l#M# it in
ikiin thr wi^hr rf (hr
end
||mm opiMt Mi liemrtMMMMi km
hood. M poiidn toene *kitwi rfvnftnjtf<* die em haute AedkuUf, beeeM t ad! Up over jamti m die (tkWr, *1 tceii M emft*
A wmlif eM>l*eiki uidd be riaonerf imroerfietefy m the fccirf erf oilioolrd Uimformm fut tkonal aabeMiom who buddop
Addmul eperfuetaam fM wh a pmifMcmritM erf Up nrfr be food mi the hrlrf erf pUto* fhwtofifh ted reJio rthknunt e* ftdl ee mi (omwfiol b mu I kWetiin n ckiMim foe MMtelUtwM m roe ceiknf* of bmUm&
pocioi kifli trotwmlnUw
Io m bod alrwctwrM Ai the bdr tofpd. d n e
eery ^rarral type of propotel A% e rurnfdr of 1 MiMtMr of dM type onr Bueht (owdet *4mt bnuutni i* Icdkiaw; *oj1 hn, Vi* ktd dwit J" erf Orielr*rfy low rfrWMTy |drf|^M
oe c*hct mdm bond, Vi* fod aed
1 foil (Mi erf linjl
YVontioOf, mh 1 toMtiwhca mid ton die Umw immi ton dM/** If (he my k/di Ummt h i k m kwrev pert*alert; et low fimmev mdretd by theory am feeJorrf mi peUr. m)i peoet w u mU km cm trrfnebde epfUetmri, p*rt*uU/fy mi *(oul err** wk et pi enpat tret cHK d^nMMirirt refit, tpotieJ mditriMN fmlon enrf othrf type* erf ortretoh uhn
load bMld KWitic Hit
One erf the Bwfoe petrfrfrrm now fnto| the Biefttofotiifm of Benrfetrf nrnMnit titr w thet the ko *o|k ad erf Mud tfolm ketod thrrl*f| tMitfuli retmMt the turnfhMAoei rf eemd Mtrfffi ImMo i Utfo}wP eorf torHtoMi mpff dut tn>*M p*ft4i* he onirrf up tjteMHf the totfee erf the ineM irfe Mi wk l (ma r k dot they da tot
ntorf (rum dir eiwu tile criLof up to the enefwil tUb ibo At 1 rrtult, more ad amre rftffimky m ripmahtd with uund iruumiMcri throii^j (he etnuKx tdr cm the top of the peitftKWt AArf dote tMe the Mil tpece.
Scmel rf (he BMefictoftn lute hrjguct iddiA| Uym of oppr pe*ot or pefwf or ora ahect ntti Mo the hath nrfon rrf k o iMic tik Ohm here iwdikd the opcJetoi h*m1 tohnh the like ert merfr Mm nadrf the bti owefete Ptott liftifk. pMd>A| hijehre imwmnm km.
The epcrfmoori of my dwi lewrf forf to die Uk of Meaierrf mc o mk tik will rum arneteafly iftctiM tod thwli perm* (he tile memrfec* tam to ted etl of Im mow dnert* bu peetcrarrf ukt with or tekoM the mprtnrf tranimninai lore wehoto Bamhfpajt ha podtotki |M M a tenceie way.
tptdfk ponl wghHd ' %
ly (utfMj ln% At
nn Kitnm conyiiUe *ilk (hr ir-, A
yumw (*< imwmMi Im, B
ImmmJ M (WtKMO caa ic n
b>*U| uiVwl 10 dn nuqr ipeaftc ,,
futlwi Sink I fnwiw, Wk &
nmfbt luit (ooudmMr
in *
he icU cf onilili cAct MUk w '
odd be <ocmrutted d i ^ ,* dwk
Ind ibrcl buoded bcluw m Vi*
b)tn <d |4|i>i>i ud mU kit>
ibc Idbwy driau|n: ^
1 TnuAniiKU lou Intond lo tobl '"tfndi ftnief fwnfelcoa klwa .chin kirau thr bdpMd Don* Inch Ijpud let tfmtt. tit too*Uad GSKCl
b Ukim Mracitml tip4*f tobt mtfftmtj (oil kn|kl Mark htmt mil mu) foKt Jr tt < M
tww.
t. Afitttnt iffitnm Ww Ih M Im mmuttl urod, juM w nkMiMlnyi
d ru (HuUlny Hkm ifKitl . rifuiprnrnl
1 fnJ wrfm lo rnifu dumb
t*Vt. * m, mutt Mik wtd kk
mtf )*
crfiotihed, < ^
Hindwd opflwM
I tium itMonnl (tW|iMil M m nimnlMul (loirwtto ltwk*| ^
M lu*
rmti, rr*y
Md rilMiul l(U>* MlVIf to MM
MKkd fuulmi
1
Engineering and design calculations
fifiun 4. ), tad 6 in |W< of the rfM at Act) trad *rfh dm (Mivnlurut nil coo ttivUn In dcvjrnmf pattiticna to reduce mod tniminaiai, hnntt,
t' the utin| poni till be the mud
itdttw* Rijond nod one (hr ma terial id cnmtnKtKM In other Medi e nO ee bow moth at r*h type el |wtiM material n Deeded to a*k*ere uendeeiury tound ndwtHm. Aa the hr Hep n drro* dn *e meat know what ud Inel* are pemkeaddr. Fw 3 7 her been erctfcJtibrd be toda cl mr m typical (Acrt uj (bet term o i (v*de to the trwnae Ian needed foe qaict eflunmrm It am hr eeu that rcey <p*et cAcr* iiyiit * et) h*jh ireaMaamani Ion peruana
How tie the ih mm( low el lwede|WMactkf(Mdl It a forcened h the (ember laitm ad Wtybe and Odtoera In the caw el any |*amtow naamal where a ample emtwt ai wwj (e( Weed. Irod, oe plywood-- hd nr piaOee on wood oe wwr laeh wwh toad*), the traownwto hot i itotcew (nr* tow to ha/ch (fryewin le t wt ot dwt 4 dnibeh ret atart la aebcf word*, then oar farT) <d the Wand daaldn, the toeoaatj will he tofhl) half (feel foe mad |*oav dmyh the (out
Tim 4 dh/oeue toctraw la Iranmanual tow w kdrty a foairtitto id the uttfacc ttifh ed the paateow At krnr fnyam). a kill deop ad ha* to the 'fdateaaa ~ Aaad the (itpni) at khh At plater** warn a a fiaorti to at the atidoro ot the cnaieeval Atnc the (detent, the me w traaitokmoa ton %*h dictpjtmy wall aa**ae**e to at*o 10 db'oeute Tim wtewed eale ad me with faipeni; taWr, kailall)!. ee*l) ktatil the n*f>f toner krhto ab*eO I Aid a peojettnai at the how (mpeeay poetHto Fftaa th*a (onl *. 0 tenia*na paealltl to and ahoaae 1 dh Mow the penyeetwtl at the tarn fnejerwy tune.
Refer tftla to fif ) (pafe I). All *d the <tarter thown ate lewd on a mint weight el I trreid par
ti (i*i td wtlat Tm pnl at
rk ra* h (dalea* lepai I* aetalrd to the ednrrt od the te*alrrtal (tm
I aright I e jdpmd. ipntt ed to llm
mat* nletter to the tehal material*, d** a plaieaw h|aia| at 19 dh Altf/torum, e*eael| Ihire toner at itnet at tort *o the umt weight. n nunh rt*dr and ihm Want or pteeeaw at tf
i 3
i
ft-
dk ahde Neel Malta at 40. Lianpeat of all. lead rfwwr a (detent ttartmy H db. The width of each plateau to alto a character!** f the enea anaIrnaL
Thoa it cae he am that there it touch the ciMtea hart hi yencrel;
o they hare the tame t db octave dope below the ptaaeaa
a thep hair the tame general dupe m die platcao itgtm, but defer la pew* of covet arcoedmy to the ttdfaeta of the material and in plait** wtddl
tut* dir umc ftncril dupe ftbmc the rUkM, tun* wvj %tih % 10 Jb/oettv* n*e 4k*h fUttrot oto a 4 dh/ atiK rw 4i the curvt ii>pfuarhc* %i<Kio ) db of CM peojeUyon nf dc frojurncy ainpt.
Affwalj, ikn, die whole ant for any auttrnl c m br deftied if coif we Lk w dir laiiiai rod width if dir pfetrae And to help locate the plateau nr know that tacit material bat a ducurnric traatauMoo loaa in db, drpendmy on ita ttiBacm, at which the plateau ttaiu. AO of dm information it feamlurd w Fi. L
The onlp problem ranainuiy ia to hod the fmpotttcy at which the platt-aw atam or--to pa it another wap--to hod the bnpbl or intettept of the low ftnjumqr poetna of the cvnt at totne known feripucncp. To do Iht, at trip o q the fonrali:
IU-h|* + tt |h|
ahm-K,hlaWiatdiilmlrl *<*
* h ti md ada atlft d ha partem pu mma bet I
pthamiiliditaMad
s'':"/
TYPICAL EXAMPLE
Finding the transmission loss of % in. fir plywood
I) Frraa dir hr* (damn of die
l| Rot the (mat: 4( cptin per wood of 21 ortam Kaih dm at on
table M Fry. a, led a demur cf i mood and 20 dh trantnwtanw lent.
thr 19 db lerrt Thn may be done
#> ) it. for I inch dwell hr plywood. Then.
4) Throuyh dm pew*. Iiyhtly dtew the lint trpmrntinf a 6 db per catave me * tiammnow km (An
ytaphealli (dure divtueett equal ant octave}. Thr plateau will tod at about 2200 tpn -
Hint rt an nact dowtfuiy h thr frr-
7) Above thr end if the plateau
4 tpwncr. hmte at MOO tpt the ioae wcwld br 16 dh, at IfiOO <pt * would
(2200 ip !9db) Ihr toaa ram Will Matt to /nr at 10 dh.'wtave and I*
:4 }) I'md the tranwnnweui loaa if IrlldK e* )
dm partKulat taw w:ll hryin to drop
dot panel at 4no tpt Thu n putrlp a
') Rrlrr to the tteteid column at to 6 db eeltie tenethere btyietd
fumlxai of twrfeit weiyht aeirndvay if the table mi lie to bod that thr the ranye of hearmy (11,000 to 20,-
to the frenwda
Ifinertnxei low hcirf* for ihr newer OW cpa).
Am-* WA
if Ihr plaliau fee M (fptud it 19
I) Aeleh in thr plateau curve
db Math dm pare (acp-Ortemaulp Iht mat mum and nwanum will It
W ip, IV db) iei Iht low Impoiip date 2 ' to t db aient and brltrw the I
nhftmo It
mm pou hare dr two
mean plateau leirl if 19 dh
'
i - |*IU) 4 It
Am - I t t It
writ A
ft) ineo iifeiw duet if (hr lahfr. take a platraw width lit hi pip
Up nenparmy Ihe pl<4 fie a % w Mr plytiaal paflrttn, pud dflW*
- a
m IA
m
mM
m_ w
i
mcvncr m Kin k * mc m
1
i
to
9). to ito |tnaWJ( mim4
I loci
Fi| T, ycm <** w ctof
' mIi a fwtitioa iil net to h>o h tU hrfp to rtduu tlv mmii fe (mpn<i ahuif JOOO cj -
TABU t
fctjcfc fmpvy (liikt ami hmr> Kit firm** U*> *n*k h w k J b> (mm m (to Mvnul mw c (mpimy f*Aft (W
Appro*ImoH thkknnM d tlngla, vlenpla portitioni *0 * paemtuibW frommtttioo lou raqerkamnnt
2QUQ <p) n irU/vdj ir<Mp*nt
to hum, rwirv Kunp mp4 W <&
Mo**Hol
IMc Vmh r*9vird in India*
& crfkc *m projiktMi tnuUmmty (W
4 ImVi> fHrtJtma ei |4)%an4 twill toJ to ihifi (to thnlr moi to ito
Ml <mto 4 Imtf Irr^wti) liA^r) wtowi r**mf it fe (m br ulrwUtrd
aAca
Oakt aAca
Vwy aAca
y
(tot to atoft thr mot fat omt^l to
Ar pH"iit
(to left to p%t uitt/tnlery (fiwint ton tow to mtti fto 'AnktaMy tony tobar" Mwlaiii dir fdjMcud
larf planar Clan
imu m twiU Iu h fo to irmwftowjt
(tow (wcrtu
147
JO .IS .14
4S Ul
4J0 444
1141 A* *4 114
Ur * to 4 swhn (tod?
^^ewdtiMW
.IS S7
114
I i
(^h k tbmiilf ifl thrw raw* Tfwtirw itocfub rtorpt Ired tit mtJtyre fee mw J fraitwiwirw tow
Sard land
MS j OSO
JO .114
L
Ij O 44
to ywton toutaw t ( pm^lt to
wftot thr ww4 (iiimmw i tow <4 4 fwititMW to Wf liwwiwr i to dewed ftittfiaa mk c t u I with
s^^e wBa^wa
^^Hptr ^wsn^^ste Amb* ttroom
>nm Aara finxn mUiWi nMA arc h>n cro*ll
W*J* Udcnl t n It mm Mt tto If tofiiw d Ird a0 (tutor 4 to-
*n Hfi atnid *1 part W *a dirfinw W **
tot wiratt <4 iw w b mmw tow. w itofi At wirm m will r aw*
m|Mkla|aUi*fM.
p -a
TYPICAL EXAMPLE
Finding the effect of laminating lead to plywood
At tm cuneplr erf (Sr h i W inia< An (n I* tifntirf. imrfn
I) % m (rfpaeaej atO kief | arful aeiA erf I A M ft rf I .
J) Pier Ar 400 ip tmMMtaM lea* erf Ml A
(Sr i4k ) erf iraniry
m erf Irarf lhL Aae I IJ1 A eej II A
in.
i Ini \ fij>rf pearl Dr raw Aeeknrte Thr Am keel Uiamnrrf la 4) Ikn Ac In frrefnrtxy
-T (anln /eelere erf earfeet a<ft* arf * 'U. Iren A* liewrf eirmn) <4 fp Apr (6 rfb pH eautr)
etefnre* aeit uea a*ei (rfei a m A tej (i pat *. tu* e wrfar and*
Nera m An pair* ar Man Ape*
ant Fine. il ara ariei acejdn erf--
/ten* Ar Hijpeal pmerfurt breeaer
aell la t**h*f (He* An erf Si planted
NiH/HUl|/*l
Ar bra plelrM hrnhl a ill hr ehert-
Aw. e> At lUMHiwa bat an Ar k* l(eifa} real** erf ike ian ail] la lii^u. Vurf Ar Ma uea
rfA* *, ar *n -- I 111 144
rraaerf bf (hr MrffnrM tetrf arid* I her*Irene* e erf Ar Imunnr
f:
' :
SeAel-ee erf ewlti aright iirf mil rate arfl Niekei I plerrea he(kl a mea be f* Iatarea Auer erf Aaerf
Mai Irei
Itt */*k
1) The lreeetmita.ee leeM n WO ep*. (hra. (rf Ar pertiieeai Serf no a.frate) atU la -
ke) lien. (lira At rfn* tee fi* 10, ar ien kerf ihr efetl erf ihr ihrp w penmere rillncet Te- UK (hei ietr, ar he*r b eincienmt Ar reiiei erf Ikeiirwi Irlatra (hr pleated hew
Ta frrf fha aaw law fra **Wf Iraaiaeliilaa Int* l'4fc>a
da pr>ac4wr e pep a
k.-Mb*4 If A
- F*|Uk If A
tUftf
tarA
earf Ihr alu-le lemevnrrf pennuee
fiarflaiMwi Vt 4
ArfMAam
Mt'lTU* t
-- II --
X
'j !>;
*s!
cv^'-rVA^'-' r
&-
&f'
I?
Anj %t tttO lb Wt to dm Muni dr ptatrau kn|(h vf dir InnaMM IramMMMaou t nm. it b |4
ihr fKiu of ptk^vli W c L<k *} f4 km nine d 16 db Tb*i outran n practice to talc tbr Lacget u4 tbr pla-
dv t*o itutrnah <4 dir timuiue. Pr dor to dir turfait vn^ rMtur KM frrtjlbt (or tbr tw KMtiaf AM
moduli in pur m Fi| -
brrupbt about by UsMiMir^ tbr trad irnak Tbr actual perforuuote of
nMrtvM IX IT
mJdnt-ffrund UTl# *
to (hr pljfrooj V) Tbr net Hint4 dir Imt mii-
tbr laminate friU ilfrip be abgbtly benct thaa bit
Tbut. * c m take, (mm tbr tablr
ViA dmr no ftpm tv c m crtft lip lu. Al 4 ) on the ratio of mitfh wale and *7 (jvM Wtn dir % fonmrltf| dir ordmarr m - $ db TKrt a 4nm mi dir fdateau
Imm on dir platrau kti/^t m dru-
ft~
tm-- 4m X tfftrahf -JA
tom <m X dtd uUpe Ud snimM Tim
ia fy I, dir plateau mJdt cf 2.7 pita (or b plj%w4 Mark d* 12 Jb lr*H 2 7 octant atmt die turt of tbr plateau found at >79 cf*. Tbr ptairau mW end, dim, at about 2400
bnjchf <4 dir ir*m#m*urm Im nor dot tv dir Milnrtjt rifal of dir M
Going kali to tbr tb4r o li^t I t bod that tbr ban murftil, br phr
`f* 7) Abon tbr mj c4 tbr plateau
draw tbr 10 db/cetan rite frkk
- .5
Second. wt| lii II, %e wd. had a plateau hr*ght <4 IV do
xua util hrpa to drop <41 to a 4
*IJ M dir c<*rt/thuf4 <4
to Adding It Ala (Hh pn m tbr orv do/'man" tar tornrubttr abon tbr
dir ihdi m dir |^itM kr/tN Herr. mi mUah 10 dir ifwlrnm ratio red m w p I*, * irtll nerd dir denuty
|4h c m bright 4 )2 db Tbr lie* tfurmy at dir hrpniunj[ i4 fbr plateau mil be about 1*0 <pa
normal branny range,
) SM m tbr plateau cum m bHon
raf* A* die matrfialt I nn (hr table
in a, frt kin -
6) Tbr pftm (4 aowiult Jr tetmtnmjt tbr or* pUtrau %*Jtb n
If *t compart bub tbd cum <F*g 12) and du cum fir unUnu*
MMhMnyr jarladprrqO InM
to4* mpM p* b*
It |
on[>ln aoJ nreJ far be <a#r*4 out A<1walir. ih* (null i4 U/n*A#|*g (*
iruteftaii %mK dilfritng plalrau frnJiM til pfothitf a nrfr |4*irau Jfh
natrJ ^ U. pipawl to tbr trammnmi Um criteria iur>n v4 r t . <m hr m Mvnr4i4trljr itvM iUmu (hr hl IrM fut mk (hr
Kh K n keeaknc iMrfmrth*it hr-
*irjrMt U<4 m>Wtr<i I
lirtrrwijt li| II at a ikon) (ten tbr l u i^mI %*lur* Vm >) i(to n4. iixlnj, (lutr< ( (hr '
r4M *4 2q frr lu>J, fur (Uliirw tbr Htfll i<4 urull ikto^i 10 plaUtw itmr In
iA,n duo la (hr
f#i* pwmdrf o4 %, *i UHtfair in tjih it mu^mtaarJ mi tbr h4v