Appunti Esame di misure meccaniche e termiche

e tf.:

) (E7S: Gt^"

a; it

|r rrz^** y*J.

I{'SL'RAJ

a ,,,,* ,*/r-,^

= ryriJsc ,r,*'*,-,-*);

l* t

.iri...< .)n- |'lp,/,ll/A' a^rl,s;

re o?"fib

(

n!

,1,,..,1- 4^' r

,i.*

y/iL

) ,

slsT1n4

; FlSt(O ,lr-,,*,,,,h ,t-y^'r.'

^#

; l§--':->.z. ^\ pr'rcc*,§sr,

tW\rtp

-t

- :i.at$^-.e ,

\10DELL0 ,,*-

doyo

; PfrEUTtl/rRE

$11^- ZlfiTp

IFO-tt

^hy

I ;;::

; 'JIAR/o tForbsATa),i

f /+:'

-#

-l-^--

i g*d

kt"W ,bl

e F-.' xl"k*",*

,,,nì-wnwtt /,*"-*-.

llCDEll:O flENTltLE

^^^,1,

, 'a,(lo',c.p.) t*

uil-ryfit, J*

à nlr-(I*'>/}"**-t"

s«l,bo

;{-$,a^.**

[a"s*7ilr. ':

L l, **qlu"* ,

I ,J-

,-,-srtì/ ltC

a rzstuuìr,u

.ì.r_ oL' ,*f

y*,&_ ,J,ùl(,

,L:

l',tlDE

k ,,*:-r"^* ,arurfu*iyxt;

.r..tt ,

-c ."*,rrù

; ,L^Jrbu

a /

{e 11»ELLC

*'-1- 5cn ^l

,,,.- cu.<ttrt-l

a PAR4,YIEIPI ,

)

a , tnr,

) *o|r,-

rlELL,pl i*-v;,r,^" l* a^ ,

ff ,ryl*e*-*;

| c;nqal,vwra Jrs*r,.,,q,/h.

prrr-*,r,t;,^'

till

a b;"k^'*n'h v'vt"'-^

t1c (Uima tsfo)

!:p*ln';o-* "{iu

1 ì : ,

/ ,

'- pcc...

bfrrlErhrc

fia/,siltc flilco

cHffxto-

l"P( ,

sTRtirTcRnrf r,u.lr*

,tn,

\ '?r4 *f^* ir,

*"t *rLy,*);

- hp, J^i&- .ryvt^suruv?.!;c-w

(U kw,, cr;{nL

w *tf"h'JilA

a nc»fLCI t

,L SUENATl71AvW'tt to,t5^,dt<r"

= frfi dl

..-;k( i

d;.J,k**"** J"

hp, fi§ARA uxTuu* )

4sc

= (l& t ,

rifi*-ct Ftilt ),{,

Al w.^-

c f*

ill "

Gt{ r,;

ftcDril fFfltrtrt

oBt

0 l"tcDE[ll r

c

lv-r-n5,t\a,e (tynCA'V'0,** )

= I

fR*

= *

<1 ry g*y,.htn *,,-

uokotlrl

flr* ,

t

1C»ELLQ /rlc.^- d/tl;'^*/t"

= "-

"t/*"t "l{,

|, ^J.q*i"

b{**a;**

llxt;utn]

= , :

,

-t.]-.r-

'-c

= )4i/]y'ta-t\dt-. O\cL ',

= **À,

; ù

€ dotl, sty,^t,

f^^M l*lp,

Éfiq r); th-

t.A^"^,t,

l STlf7

o.Vhrt*,**r{; Sttffn,t.

0t

t'",-

stopyr,<*w,J,'--c PilfrAI4EIA0 .ANu.

= ll

3 ,t,

,'I^-,i^* *^l-"- +ss"J; r'rlu*

l,FL Ln'

,"^tw1,.o*,,**ut* PAtttNLlR!

slSIEPiA]

itrO-,0 aJ.

?- 'r

e r**

; **

[n*-wyr*

i-tnnfrr;AO) r:;y^*^Jil,- (

to* rralon ,

n^n"Ac y,^A*Là,tJ*o

gi

,rh,

a ,x,tL^u ,

t q-""*lr**,

,rq,l,."r,

, an-J*ir*L ,rL

)

fun&rnr,trtt Pr,l,,hp/t,

^ ^*,n

'o'rtu^*

€+g§* ,{,'ro^

Àtuh^**.*\, {.o *:,t

**l,r^a^"

.&v-v i*k<ora»*t

a,(L,

1 1

= t-r'**; L {r+,t- l'"u.L;*lW

"tb*

=.^u

li/ # '-

I .ui-.

tlt (a.nai.aio,v4

» É.r,"

cftna.d.,

rrtsunf +

f

fOloin DEL)§ J ^x.;,{*',,.,.{2,

;u*,.i* ;b

as n*]L

(+.w* :t

Arlk rr.

*,"tvnnn \rt*

ru**^rJù* ,/t-,u*.

s,hr»r ;-ta4-t

t

NoL k^*-l-, ,llr^

;W t'

, Xà-^

,tr*'k'lrnnÌ-

r*ca*ea.u*ilu .'c^N >;-,j

ac,''o.t\'-3\.^r't

4vu''><tt--tal.

t4ENIE

arbn^^,t, GJ,lFfrl

nuTiJh ,

tÈ,Lr

I Xl

Xr-^ lxr;

.

o ({df,rAl

fiE

fll5t Iu0Ar BrLi

l@l@)+

^

r xtg-\,t, !z+t. -'

(01@)

l-(C/O),

A bnffitstL'

r1l\ivp[

-

@ *,

i

:h::i|

-,

#d;'f^"l^. -W,:'r:*:..':T: ff:-,

^u

g*q,*rr*,L,

1:Lc pc,*r^r{r'^**te j*

k;r' .A,

:

K J. ì

) t-,* ,no[*- *o

TnRÉIrl\^ grbu-"*.*L

*0,{**'o*^;

^. ^,^.rL'

i

{- &l

,raLoU

asl'-4a'Spu*dnL d^,

M.,L',;,,un )

nl,o

"nnfrn /

Aunu sr rtlsunrtzrorvÉ

APrK0crrCI TEonlco rrNfAW

APlBoc#^O 5YEru

ru?t-ll"d']in M**l>r

\- ,U4!^r1-

i,\--

lorn^.^S,,t,

' ),;

,iv,4r rt,w§&, c^.-f^"b,"

e

"W:- , dr*^Ìu n*-1*"c,.',it.o*,t,

""L oL-

fE#A .-

ltm fftxyt@

fl , |

,l,nana,h* -r>a.,*

r ,r"vffi,u

r= 0- .- Àf *

7

l:w*l\s,*r" '*!^*:::- r:

.),{r++udne- *^4**

plt*"a^<fu1p

W:*t,tr*fl)o*il*1,*. €e,L

f 1

,ttnu p

--) ' ( ',lrnnBV f>q, ^,N

tl

(AmP(olvE Dl

zzn NoTa

EArÉ

c

lN *n*

fu,v1,LJ, C

S-

lv.to<rì ;r^ 2

*utr'K

hr;,* it:nATrcA

lMC. s-f \

(*f-1t"1, Él.r^'i. )

1*rn.r +,'t,b,

elr+

a J- ,h^**t" dì

o ruìsu«.,

flDCLSra

-___.-.\___r_ -\

.

e )_' r

I ^

----/ l au W;

@ lrr;-*h" frtrrlrr ,*aba,^^,t

lttsu«t

e .,i

i- >Ran:tttl

,[o"y\;

i"Iì,AÉIrJNE ÙFNERAIIT2/ìT nlsu{lA

bl

A

) ii, .t

h **- rt,

n/.su(/l ro

5lRunrlvll ,

rlr*^^)f,,

u'"*yrr >yr"*f*

tu^oL

«t^^, /"^r*"*o

= L *f*

>r{nu*^rt,U?*M

-----:..-'*ir- A"Rl 'v*co|'c

c;;;jjf-

= ( )

rlsrrl

(lNr':RFs:o,>

=

à i :'i'E

"a Dl

a .' ÉLEl{ '-)EN§ O5i,'Er.rfrARE

iA \:--:=--.--/

. 4

r,,ln Rl

' r\rlDo)

.,

a

=

e 07, ,A *-

ELfr,tNIo FtLE b",,l,t"

t+

SEl,lsl /

PRlllAFf u^,1;,1Àz Nu/gvaw'o\o f*Jr.r"

e i

a^V-dt',fu- /

i

'lr^, /'4^;544"R1k- an- srMs0,QE

1*^/"il? t^^-t

?UY 2ssù.e-

1uo-

r^N

-J,-. ct

<ayt* ,tr*t{.r"*,n* y*i

u^*o *';1.**q- ,l(&-

n^rar,{,.,À,

t,^.t. ,,h-

TAhSbtlffARE f

e

= .y^*i,h-*/-

,,bin*,^.*)

{ b^* otì-y,,to^h (*

,nl,'

Lb'>;& /-s-xrr* d,{.

" .b,ttc*cL

€ ArSY,k-.(,

'r'-/1M'1'v

t

I

= , ,l

(OIVI/ERTIIORÈ plttl4..{a

Li-;rl ru,.rn* ;l:xaw-J,.,tro,!l,,EL.?Ef{s,

VÉRIABILE].

= o , *.-",.(rf/n

,-o*

:,p:7(.*^*0^tr ,r^,*t-*lr;L

J*,"-r;r^u) .{, *&.ru

toa,>{.n"utry.cL,|o n"a^)*,,1^"i^

= yf^h

-i**uq;tu rn^"y*vcrt*;

..:: ^^#

'

= I

(/'1AM!PctAl-D.qE)

t*tm^ fr LE): rn

f0Nn(/lr0Rt crl|

*,ahrn-"

kL

f+IliAB/

= cctvlul<nm, {*r ?,46{.

^,u-,"!;le,

**,

,ttou"* i*

yx, nd,(to pl,

gfuNr--ra7){-c*'t-

'*; w-*

a{*

3+<'1-' ,r**.br

= "fL /,r,,*,n

(

L (kr,#*

,.,' ,

h^; fiAil/t|1l\'liE AflPùilcttl,n^/E

a ,1ru,r,*ivi,^.§^,.r1 xy,,!r,rh.,

= ftuaru^^eJ.

y, &,^*M*

. ,&

] pfr^"-t,

TRn ,to

if q"w-",tr-

w^,& aurtict

ISi l0 5 t**>{on*o,

N N

5

lJ

= ( ) dill

,.'-...,a,:,*-.k {uo

xyc:..*|,; ttrfUf 4"),

O1)IPUT

{r*^u,ln

=

=

= jr.l,h*,.-

i tl

LY;n nx^tl^^*

l'llSCf

rw^,L (

"*'

PRrruStI/tztc;NE] g:.-*l--

;).^A-x

= y^*u^h,

=

?

= l* r^,ll**

;,^/*"*"rr.U;r.^L rilt>*^q}(.5,

r{,/^r

I

| .i, *wr.t,^

-','- qru',jr,e*^

t

e-!h,,tuJ;, ,

.hLt1-

fLt<,^-IoÌtu /*^)*r-e ^ì>,bi"& 3

= I r

l+ >'!)yt'"'-:''+ (-'-'L--

,-.go'''-r-+

n.-,'lo ,t-'

1 é

| f

V,-..t-ts*i.k :''')i';

''t

a-*i'*t+'-'

L é

t* 1.0'et*',r'}:'

,{rrr+* ^t'

A' l- PR/A{'+RIP

:- :

5rM5,

EL.

\ndit'lk

7 : -

-:

\'.

rL' (-0ll/FA''''me': /Éi'Ai

*t'''L"@)

lyW, (cu* à

( gD:>G:Q:' 6

1,

v*le k N,$*'-u È

*T" :

!"W <4,,a.-

./r(^r {"*ùr*,

/ caryv*

oU

.r!*^*it'^ .M* È

(*A*{p'"-t/)

U w"

*'J;*'V

r ry $^!t+ì^:

D {'^-*"^"

lEl'tSOpr .y*

/.1rrtVl '!* u I

/''t"'y--pr^!" vno-

,lG;,ln*U "{."^t"

r

SÉt{i6Rf

È ^"LJ;*v^"k

,f,ftSlf V'A ^^,.4!L È

*r*"^t;

{t I

,h

( Ì*^eau-

,l* F{E(tE^i-,A

p't

J$^^-Y'**t 7nA\ DUrfa

ilh-^-U :

1'L'

" f5s,^Ar*À !

t^-

rt-,.

, ,n'

hf o!i*;oG,^,

r{n'

C^

i rl n"

ahn"

rn^,^..0c ) '

Àiw- Lt'l

-, ;

,1n'Jt AY'*

fi,{wftt-$§ '5p7"'k

;/1'L

tO.nnr !

^n ,f,^*W À^tu,"',ff'h'u,,

i^*

;* t

0^n.I*

,

h TAASD, /}ml Vl IAV'{T{"fNff/+.rtlTl ,

vf"W

(L'";"' t

trs'llzv aoÀ-L

/* :*!'-:t:

tSnr*,cGryryr

l^i,ri,,4r^*^.t- ^i,v- f'

I a

PIE'ruEtfWil

-lERl1 gf,Js0'ry BfitlJoTffi|"?t t

t*.-y,

i,*, @inÉ

; al A

ìn,cftt,. )

Àrk u

:t^^r6^ uy,f ob'nJ4-c*^t"'Q

"T I

l>-*'Y

in, i^'

t ;-( itw,yus>e

(.^,-'

Vl

i PASST P*To a

**

(Àsrq^" I

,x1*rkÀ^ lrlt *v'%1*,'w4 'l;

W

,lnt

li ,wtcL.

no.,rntu t, fr p

FlLc

, t

ELrTfRtl

LVDr,

(lPAt

paTE1?toflÈRl(r, lTtu/

(sf*i,qnr EtrIrrutlnErRr i

!

IERlto P,ESlSIEntZr) I

i ,4't}/"'wa^c a"r*

,{,*. di,

a, nrtl,,l"^ JLt>,t-' " i

I

,*,k (bWflNUC

SfOltlfrr-

/ (t,,- *sc'.lrur!,,,ty" - I

a /

ta'*' a,.-',.''*ar'+

nn',vw,t*hk't- |

1 't*n";

rr*sdt{* 'vu'n'*'t"^

ÉtT^Ll

IR/ISD. L.*w

h »t L?'

in

Z '

*sr;la, D'I'SUTETA I

,(-'

vtu,.^à^ GI'

LO

A

T I'IA

Lr,r,In* 4

i uV*,h

,W ruffus*J*{'^ snlotlo.

[,pr d,^ C(tC J"Utu

)PFR/

/Pfno NEI'ITAIE- il,* l*r*tu

f\'r[.^)r,a &',,,*

*rL. ,,,!L'osr*raic-'t eÀ.

tv-*ru.va^^r-

-,i2Àit;

/ l,

i) a , llt t t1 I /t/t ttt

^l' L

*fhi

a,i

yrb*rro**; u** ton;,-

au^y;;olw

tl-) F^r,*,^.t**** .z'>.-h*,,

ìa* .ran

"{^ "r}*%^; qnncl$ ,r-oi; di

V wL

U) <a',a,btp,;to,z^,t^

n f"rh"ri,*

».,t g*-,.*a/,r-

oln

"r^;*tai*r *fu*

lw col

t i

Pw\,

Co,wTan*',,h.

^*^k";d!"

^/v"t ,r."|*yp*

y'

St*Jj" ;

TE? RIA

E) {^*u ttu4,-cL-

"t' '

fl UE

a; ÀPNt

EAJA nfiEnA tt d,.

frrt^!r,^rea^; a',"w<,.b,*d"cs<

Dr

f,tnENIJ ltlllrutr

Z{0M/tLt Dfft!

ffNEr,/,LtilNA trrunltnt

ritSU&A7l0r\18

Fl/,I /@{n1)Rhl0}/r

A tr- tfrrrNir)

:\l,tLdaÀ.,/.4,a-

/- pl

PfiNaMo I

V rrR;AEILE {i.tBtABtLE

I

1I.,{

(l,sunn N»a) f*-1r^r'.rÀ; -)

A

f Di

Errllto DI

E{,}NENT

iFllstllssr0 I'rE AI 8,L

S'ERV

O O

Pr%srutlztrt

DI /VE

FIABILT

\/A nErlcRtk

- .t &

n *^tol,to

&trui.h

nlo**^t^ rttSt/r.l'Nl,},

PPlflanto];

SENS)BiLL

fmrtrrvto

,I É

**s**,l;n ; yu-^pJ*..[x,

a^px,*u*)n SE'[ftRE

t/t4,v CUTPJT "*

"&:1*"-"tr'.,hf

foowca *n;Jnl"

ù'

,lr""t{-^-* w

U

**

islutl

+ ,,,*,!r-

yui g^o ,/r,t,l.r- /d ^*

n W( A,\r.^a,-

pl-*

o**),

,Jl, |<),trz.;,a-,-4 ,l k*hV&

,ru-' p*rf^'

pts",..-Jut-u f-

en'

^--ryn**

,fi * ,

,l- s >n,*i!r)*"srk

iilSJll/lll|l? ril^r:--*!,!r, d-

/5\e1e-

.fo-,t" tvq,,L6 pcsrkk- ori

.

q**p,l.,t*r*" -r**.^^

alr{nn 'lok'"-"^,(^*/'n i

ìanrr*u,{r.,lr. {,k:*^ u*,h

, 5:E[ll

Dt ^l

i0EF UtE

I ,1"U'EL-

,' r,C,UVf.QTl &t..t,p.

//rFtAfrtLE

SfLEnENia k^.r,^^

(.7'^o c oy-.o

cfvLne) )n;J.n-tù,h\:,.t

u/

nn-

t^..o

Pf,rnonlO trv4^-è-

tfo';..1,r^e*"Ì." "srlrr^l"

p<"n.,)*h. ,fu- ,W

r-v,*arl,^'.,r^i

:-t'vrvt-urtwotc iurt r'

"l' 'r'.ry.unoh

(flrffiu'{o\l" k

:

, »t ,iil'{*

cs.*.A'. ^'..h*'^.

vAg'tAp,t'-EJ 1nrn---

lrLl^nEtwT 4*

,*""!-k ra$n-

,f *'j^"L

r,tl^**o

u,» uL

tu,a

@ y,ur

&'k-a.,vi,M,L

.r,ro

1 !bu,

y,

*., . ;!

)

,o,.',,,)a (I)DIILALI}NE

N

,én h',a',*;si*z

{*^*" 1Y^"*}o "-^u*J;n"

',{r**fi^ y"f,i *

a,t 5

,^8-^^* W vf^tÌ

(m,1,'rttt,1oilt ÌlANlraU\{alf

/.*'^- "tt

)

o*'i ,u"t,k

q*^!'J*

orranh* oU$i,*;te, 6

:"* *"

t,

f;l n

in)

I ,!*";§^l^',n

:TpJnf )

fllSUf .»,4, J

i ;' /t-o

A .^"1-"J,,

,n^- s/R4NDA

ru

, A*, onnti',tn

El.ljl o/.tot

?ERC)

L5,Ts)11 ''tnr', n*o,*

,{xck f'r^:*^*

-"

5dlr, ,1"*

r,^-

L *o

/

;Rfrl't»EV?/,

/*,r.n* 1,*,r\'u-[rt*^,

Plrlrrt

d"-r*,,^,t, Ell'AN(lA

lt },*;tr uGu,qLr)

{Es, À

,nn*o,,r,h\,'o:iae ,'vi'"tt-{jL -r.--ir.yt'ltaL1ag-

,\r',".

I A L*4ffit *iI"

lr"

[) ra^{;f'r'bt:a&

.{

t:EUtAzroivÉ]:

fsinuÉEirt]l }^"* ,latr-7urrc{-a^. \

t i. l/

;$,rrffF

-i

'/u*,*.^to a,rr,rt*

,L o.ltku^x ,L

à*, à/.,[.r(* runa-Sa*tPw

n-r-,'i'rrt^rn*

)i

A

(Es: trER'(URt0

TrÀnrflEllf)i

Ex--p," Dr SloltE

fnr )

t4lsuR4loRr:

( ....,4,,,\

.;

v--r\:t

'l\ -) PW

t

,-- )

,, 1tt"t"^r"rl&,_sc lt

^l,\^rL n r

\tt-

LE /n" yi>'Ai\t-

Itrul tft-..^^<u

I rlARlA

FR /

SEl,fSl Et t )'4"

I l-arwc'rpr.*or.***h

.{,'**,, rL g.

.;r* t\/1n-0- -

+ ':-? frffiffiT.l;j *frO";

bvu

r ,v

'\-) @lI-:]fiMBILE .W

t ar*h

b,1') EL. -tu @;

!-

(c^.16 i

,

_

é= -)

rh =rtÈ

tl 0

rro/tlsmtr DtsruRBt NIEGU 5i8Ut1E/VI1 Dt TIISURA

,*

i

*;*'t" à^

J"

0**"i* 1,t^ytts;c

uvw>ur-t

u prfn,,,,^'

.t1,\^i 6-!1.'

$,'^ai*^* 7 Dt

dE o

,r.!Ìn* Rb?

e..x ( «fSSf DlSiU

e ) d,.e"

U

GRANI)EZVE t>l' I

F

oiln

otu:RrrR. ,* **kou *tcùe:t,

/ù^-

Luw

possrn*c "ra-*,'-.jl".

»t

U^ RBA J^,^s" ts,

lU

Dl sc'^o

lMGÉfSSl . blf

:f J .t- .f^u,",

wna*G

,fro, J,atl',*s,'tu

moltfcatoU* lranùwq,

/V6*ffi1 ^h* u,

n n ^ all'u>r,,tr,;

lqc, X';-** u,u.tu'

cW m;,

l"

»r t* oyrt',-'b'

d, >r!,*;l;>z***t

-n*-

?:^.t, ffi+i,i

( :rtr*ci dflk

fu^,^

,Qn'ù--

Fnr- ^".*]^

-'.

(c-

t i) .

r *u*ryilt d*f *lr"fil.tY'

'|llD, /**,u,^^ T1;dfrt

ìh-

_ -Jl '^*.

^D rrl.r.Jr,;

/?\ G,) 7

; ..- .['

-

\ r-» -

(q-, r.{'Y''}'l,nx{(

L'^tl''!i*'l; 4,antj7

L,

,, x

c'^:yt.t';'t

r^y.- \.r--

l:; ,^^^< *sr)"»

=

n

4 . --i-

I

W 't I

>lr-.*,^to I

*"@-q.t) o*k-s,6iù);

tl^-

1) lrvlrerrnrvrE o,(,^,,o

INÉRE550 .' v,

- I Y:---:- IJ

',

noU,Aì;

A

,

' (DlrynnrflÈIAo

Ex,^Vo $

crrfi)

(\h

= syn***J, t- ,,*

f^ j

*r.ru*

(rrirrnrsso) .,

p\o Irruut\r'))u/ 1

,rhi

f'o

l-P= *IY r',1,1:,*R

T ,l*w-".K., /\

k")

,(1

(F**u^* = b

v,y'ar.: le#u^oto) \

J

= (ntr«rsso

h-f-J^r,^*