2.3 I Teorema de Castigliano en Marcos

 

0.0 M Vbgrbjh fb Dhstminmhcg Jhrdgs

Nhs vmihs sgc bnbjbctgs bstrudturhnbs nh duhn garbdb rbsmstbcdmh h nh fbagrjhdmôc, dgc bxhdtmtuf h nh anbxmôc. Bxmstbc judlgs jítgfgs fb dgcsbrvhdmôc fb bcbriêh, ngs duhnbs smrvbc phrh bn dèndung fb nhs fbanbxmgcbs fb uch vmih, bn M prmjbr jítgfg fb Dhstminmhcg bs ucg fb bnng, bs dgcgdmfg dgjg bn jès bxhdtg phrh bsths gpbrhdmgcbs, yh qub dhndunh bn trh`heg rbhnmzhfg. Agrjunhs bjpnbhfhs phrh bn dèndung fb fbspnhzhjmb f bspnhzhjmbctgs ctgs y imrgs, fb hdubrfg h nhs smiumbctbs bduhdmgcbs5

  Dhndung fb fbspnhzhjmbctg.



∁

    ( ∫  /  ∁:   ∙  ))/ : Fbspnhzhjmbctg bc bn puctg fb fbanbxmôc.

Jx : Bduhdmôc fb jgjbctg bc aucdmôc fb nh dhrih rbfucfhctb fb ngs fmabrbctbs trhjgs fb vmih.

  

: Fbrmvh Fbrmvhfh fh phrdmhn dgc rbspb rbspbdtg dtg h nh ddhrih hrih rbfucfhctb (_ (_)) fb nngs gs

fmabrbctbs trhjgs fb nh vmih. B : Jgfung fb bnhstmdmfhf fbn bnbjbctg bnbjbctg trhthfg. M : Mcbrdmh M cbrdmh fb nh sbddmôc trhcsvbrshn fb nh vmih.

  Dhndung fb imrg.





  : ∫  ∙ ( /   ))/

: Fbspnhzhjmbctg bc bn puctg fb fbanbxmôc.

Jx : Bduhdmôc fb jgjbctg bc aucdmôc fb nh dhrih rbfucfhctb fb ngs fmabrbctbs trhjgs fb vmih.

  : Fbrmvhfh phrdmhn dgc rbrbspbdtg spbdtg h nh dhrih rrbfucfhctb bfucfhctb (J) fb ngs fmabrbctbs  trhjgs fb nh vmih.

 

B : Jgfung fb bnhstmdmfhf fbn bnbjbctg bnbjbctg trhthfg. M : Mcbrdmh M cbrdmh fb nh sbddmôc trhcsvbrshn fb nh vmih.

0.0.8 Bebrdmdmg prgpubstg5

Fbtbrjmchr nh fbanbxmôc vbrtmdhn bc bn puctg F; sh`mbcfg qub B : 0= x 8?S1 n`s/pni0.

  Dhndung fb rbhddmgcbs bc aucdmôc fb nh dhrih _ sh`mbcfg qub _ :? kn`.

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Fb hdubrfg hn jhrdg hctbrmgr sb tmbcb qub nhs rbhddmgcbs bc aucdmôc fb nh dhrih _; sbrmhc5 PH\ : 6? + _ PH] : ? JH : 40? + 81_ 0.0.0 Duhfrg rbsujbc fb ngs dèndungs fbn jhrdg bc dgcsmfbrhdmôc fb hdubrfg h nhs bduhdmgcbs fb jgjbctg bc aucdmôc fb nh dhrih rbfucfhctb. Vrhjg



? -0?

-40?  — 81_

 

?-<

_x

x

_xS0

< - 81

_x + 6?x -40?

x

_xS0 + 6? xS040?x

 

-81

 

 )/   ∫    ∙ (  ∙ ( )     

280? + 021_

 

∫280? + 021_/ ∫_xS0 / ∫_xS0 + 6? xS0 /

 

 

 

∐40?x Pbhnmzhcfg nhs mctbirhnbs phrdmhnbs fb ngs fmabrbctbs trhjgs y sujhcfg ngs trhjgs fb H-@ y D-@; g`tbcbjgs5 

8?

<

81

∁ : ∫? 280? + 021_/ + ∫? _xS0 / + ∫< _xS0 _xS0 + 6? xS0 xS0 ∐ 40?x 40?x/

∁F : 4,94 . .