Ejercicios de Torsion

 

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GLG^DJDJAT HG XA^TJÔK

Hadgktg hg i` @sjok`tur`<

@utar<

Luy @oujrrg

^`em`ry Nrjta D.J >>.502.58:

M`turík, Lukja >6>6.

 

Wk àrnai matrjz v` ` sgr hjsgð`ha dama tunui`r y tr`ksmjtg jou`i patgkdj` par `mnas gkor`k`lgs. Gi matar gktrgo` >66 bp ` uk` vgiadjh`h hg >66 rpm. Hgtgrmjkg gi hjàmgtra jktgrjar hgi mjsma sj gi gxtgrjar gs hg 4 puio`h`s. Tj sg dakadg qug gs hg `dgra duy` rgsjstgkdj` üitjm` gs hg 8>6 MV` y sg gmpig` uk e`dtar hg sgourjh`h hg 7  p`r` gi gseugrza dart`ktg. Hgsprgdjg i` eugrz` r`hj`i hg ias gkor`k`lgs.

H`tas. V = >66 bp. k = >66 rpm. Hjàmgtra jktgrjar = 1. Hjàmgtra gxtgrjar = 4 puio`h`s. τu  = 8>6 MV@. Es = 7. Gseugrza Vgrmjsjnig. ψ  pgrmjsjnig =

τu 8>6 MV  MV@ @   =   = 28 x 064 K / m>  Es 7

Dakvgrsjôk. 0bp = 776 ine — pjgs. V = >66 bp x

776 ine   ∞ ∞ pjgs 0 bp

 = 006666 ine — pjgs.

0 puio`h` = 6, 6>78 m.

>

 

Hjàmgtra gxtgrjar = 4 puio`h` x 56 x V

X=

>φ x k

6,6>78 m 0 puio`h`

 = 6, 6?5> m.

 

V = 006666 ine — pjgs. k = >66 rpm. X=

56 x 006666 ine — pjgs pjgs . > φ x >66

5566666 ine   ∞ ∞ pjgs .

 =

> φ x >66

X = 7>7>, 06 ine — pjgs.   L =  φ x

 

 ( H ± ± 8 ∞ h 8 ) 4>

L  X  r = ψ 

Gd0.

±

Gd>.

Jou`i`kha i` Gd0 y Gd>.

 ( H ± ± 8 ∞ h 8 ) X    =  ± φx ψ 

4>

( H ± ± 8 ∞ h 8 )± =

4> x X 

φ x ψ 

4> x X 

± ± = φ x ψ  T`d`kha e`dtar damük  H

 H S 0∞( 6,6?5> m) 8

8

 H  = 8

H=

∜ 4

] =

8

.

4> x X 

φ x ψ 

4> x X 

φ x ψ x S 0∞( 6,6?5> m)

8

 

] 

4> x X 

φ x ψ x S 0∞( 6,6?5> m )

8

]

Dakvgrsjôk. 4

 =

5566666 ine ∞ pjgs . 0>75,58

 

0 ine — pjgs = 0,4772 K — m. 0,4772 K ∞m

X = 7>7>, 06 ine — pjgs x

 H =

 = ?0>6, 26 K — m.

4> x X 

 

4

0 ine — pjgs

0

8

6,6?5>

∜

φ x ψ x S ∞( X = ?0>6, 26 K — m.

m)

]

ψ  pgrmjsjnig = 28 x 064 K / m> H=

∜

H=

∜

H=

∜

H=

∜

φ x 28 x 06  K   // m  x S 0 ∞( 6,6?5> m ) 4

4

>

>

S

>542:4,?2  K / m  x 0∞( 6,6?5> m )

 

8

]

>>?257,5 K ∞m

 

4

4

4> x ?0>6 , 26 K — m .

 

4

8

]

>>?257,5 K ∞ m . >

>542:4,?2  K / m  x 6,:: m

8

  >>?257,5 K ∞m . >50>78,28 K  ±  ± m

5

7 H = ∜ 6,2? 6,2? m 4

H = 6,:7 m.

8