Esfuerzo de Origen Termico

 

LRJ\LY[H GL HYO@LF WÏYCO H

BAMHY 

 

LRJ\LY[H GL HYO@LF WÏYCO H

B  A  M H Y 

M M

W Mh

 

M

ΗM

 

α sl glfhcofa Bhljobolftl gl gomataboòf tïrcoba y ls barabtlrãstoba gl

baga catlroam4 sus vamhrls lstáf taiumaghs y sl lxprlsaf lf ufogagls 1/»B. Lf lm bash cas socpml, sl tolfl ufa iarra gl mhf`otug mhf`otug Mh  Mh;;

Mh Mh   goma gomata ta ufa ufa ba baft ftog ogag ag   ofbrlclfta.

ΗM

buafgh ma tlcplratura gl Mh sl

Mh M M3Mh+ΗM

 

ΗM

  Ї3ΗM/Mh3(M-Mh)/Mh   Ї

ls phsotovh

 

Mh Mh bhftral  bhftral ufa baftogag ΗM buafgh ma tlcplratura goscofuyl

M

ΗM

Mh

M3Mh-ΗM

Ї3ΗM/Mh3(

M-Mh )/Mh

Ї

ls fl`atovh

 



Ma lxplrolfboa na glchstragh qul so ofbrlclftachs ma tlcplratura gl uf bulrph ïstl sl gomata ( auclfta sus goclfsohfls) y so sl glbrlclfta ma tlcplratura ïstl sl bhftral (rlgubl sus goclfsohfls)4 lstl jlfòclfh ls rlvlrsoiml, ls glbor, buafgh lm bulrph vulmvl a ma tlcplratura ofoboam, rlbuplra mas goclfsohfls qul tlfãa ofoboamclftl.

 



Lxplroclftamclftl sl na hitlfogh qul ma varoaboòf gl ma mhf`otug bhf ma tlcplratura l s u f a j u f b o ò f m o f l a m , p h r   h q u l m h s m amar`acolfth slráf gorlbtaclftl prhphrbohfamls a mhs ofbrlclfths gl tlcplratura. ℒ 3 ℒh (1 + a ΗW)

h iolf  Ηm 3 a ℒ ΗW

 



Ma bhfstaftl gl prhphrbohfamogag α ls ufa barabtlrãstoba glm catlroam bhljobolftl gl jãsoba gomataboòf moflam. y sl mmaca



Mhs vamhrls qul thca lstl bhljobolftl para mhs catlroamls cás usuamls lf bhfstrubboòf sl rljmlkaf lf ma taima qul sl culstra lf ma so`uolftl goaphsotova.

 



Lf bhfslbulfboa, lm bacioh ufotaroh lf ma mhf`otuggl gltlcplratura, ma iarra gliogh ma varoaboòf ΗW, aslrá;

m   



m 

 



a 

W 

 





Ls lvoglftl qul so ma iarra shcltoga a uf bacioh gl tlcplratura ls moirl, fh aparlblrá tlfsoòf am`ufa, ya qul fh lxostl fof`ufa julrza shirl ma cosca. Lf bacioh, so ma iarra bhch jrlbulftlclftl hburrl lstá ocplgoga a amar`arsl, lm jlfòclfh ls lquovamlftl a ufa bhcprlsoòf buyh abhrtacolfth sla o`uam am amar`acolfth tïrcobh.

 



Nhhdl Uhr ma mly gl , lf ma iarra sl brlará ufa tlfsoòf fhrcam gaga phr ma lbuaboòf

s

3 -L  3 -L a ΗW

 



Lf ma bhfstrubboòf y lf lm goslñh colcirhs gl uf clbafosch h gl lmlclfths lstrubturamls, ls flblsaroh tlflr lf bulfta mas gljhrcabohfls tïrcobas, shirl thgh buafgh sl lcpmlaf gostofths catlroamls.

 

 Am`ufas vlbls, vlbls, mhs vamhrls glm



bhljobolftl gl gomataboòf tïrcoba shf baso o`uamls, lfthfbls sl javhrlbl su ush bhfkufth, bhch hburrl bhf lm nhrco`òf y lm ablrh buafgh sl utomozaf acihs lf lm nhrco`òf arcagh.

 



Ls bhfvlfolftl utomozar lm so`uolftl prhblgocolfth para gltlrcofar mas tlfsohfls tïrcobas buafgh sl ocpoglf mas gomatabohfls;  ‒ Rl bambuma ma gomataboòf, bhch so ïsta julra moirl.  ‒ chfhaxoam Rl apmoba mapara julrza h bhcprlsoòf qulglma trabboòf polza hbupl ma phsoboòf a

ma qul lstá himo`aga phr mas mo`aguras ocpulstas.  ‒ Rl nabl uf lsqulca `rájobh gl mhs ghs apartaghs aftlrohrls y`lhcïtrobas sl glguborálftrl gl ïmmas ma rlmaboòf h rlmabohfls gljhrcabohfls gliogas a mas varoabohfls tïrcobas y mas julrzas gl trabboòf h bhcprlsoòf apmobagas.

 

Lklcpmhs; 

  Ma vo`a rã`oga ofgljhrcaiml artobumaga lf lm  pufth H lsttá bhm ls hm`a `aga ga gl gh ghs s tora raft ftls ls lmá más stobhs   o`uamls. Gltlrcofar mhs lsjulrzhs lf mhs toraftls   am  bamlftarmhs   ∊W   hB .

 





Bhrtachs mhs toraftls l oftrhgubochs mas julrzas F1 y F9 Tjo`ura (i)S. O`uamafgh a blrh ma suca gl mhs chclfths gl mas julrzas rlsplbth a ma artobumaboòf H, nammarlchs F1 a + 9 F9 a 3 5

 



Ruphf`achs anhra qul, bhch rlsumtagh glm bamlftacolfth gl mhs toraftls, ma vo`a rã`oga `ora amrlglghr glm pufth H y hbupa ma phsoboòf A‟I‟

Tjo`ura (i)S. 

Gl ma slclkafza gl mhs troáf`umhs HAA‟ y 3HII‟,

nammarlchs ∊ℒ9 3 9 ∊ℒ1

 

H gl abulrgh bhf mma a lbuab lbuaboòf oòf qul fhs ga lm amar`acolfth gl ufa iarra nhch`ïfla, shmobotaga lf sus lxtrlchs y bamlftaga ufojhrclclftl; U       a W LR

 

 F 9   L  R 

  F     a  W   9        L  R    1

   a  W    

 



Ls glbor, F9 ‒ 9 F1 3 L R α ΗW

 



Ylshmvolfgh lsta lbuaboòf socumtáflaclftl bhf ma gl lquomoiroh, hitlfgrlchs,  F1



 

9 L R a W <

 y

 F 9



1 L R a W <

1 ofgoba qul ma proclra iarra fh Lm so`fh fl`atovh gl F traiaka a trabboòf bhch sl supush aftlrohrclftl, sofh a bhcprlsoòf.

 

Rl trata gl uf prhimlca noplrlstátobh phr mh qul ls bhfvlfolftl suphflr qul lm lxtrlch suplrohr sl lfbulftra moirl. Lm GRM slrá bhch lm gl ma jo`ura. Lf lsta bhfgoboòf ma vo`a pulgl gljhrcarsl moirlclftl moirl clftl,, lfthf lfthfbls; bls; :     7  M   a  MW   (92,7 x15 /» B )(1c)(<  15)» B   9,27 x15 c Lsta slrãa ma bhftrabboòf qul sujrorãa ma vo`a phr ljlbth tïrcobh lsta ls tafg fgh h su lx lxtr trlc lch h momoir irl. l. Bambumarlchs lfthfbls ma julrza qul slrãa flblsaroa para bhmmhbar lm lxtrlchs su bh sup plrohr gl ma vo vo` `a lf su phso sobboòf hro`ofam.

 

Gl ma rlmaboòf;

 J  

  M. A. L 

7

 9



 J 



 M <

9

(9,27 x15 c)(15bc )(  9,> x15 d ` / bc ) 1c

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