proiect organe de masini: redictor conico-cilindric

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7/25/2019 Proiect Organe de Masini: Redictor conico-cilindric http://slidepdf.com/reader/full/proiect-organe-de-masini-redictor-conico-cilindric 1/31 UNIVERSITATEA DIN ORADEA FACULTATEA: INGINERIE MANAGERIALA I TEHNOLOGICĂ Ș DOMENIU: INGINERIE INDUSTRIALĂ SPECIALIZAREA: TEHNOLOGIA CONSTRUC IILOR DE MA INI Ț Ș PROIECT ORGANE DE MA INI II Ș ÎNDRUMĂTOR DE PROIECT: STUDENT: dr.ing. 20!  Etapele proiectării:

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Page 1: Proiect Organe de Masini: Redictor conico-cilindric

7/25/2019 Proiect Organe de Masini: Redictor conico-cilindric

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UNIVERSITATEA DIN ORADEAFACULTATEA: INGINERIE MANAGERIALA I TEHNOLOGICĂȘ

DOMENIU: INGINERIE INDUSTRIALĂSPECIALIZAREA: TEHNOLOGIA CONSTRUC IILOR DE MA INIȚ Ș

PROIECTORGANE DE MA INI IIȘ

ÎNDRUMĂTOR DE PROIECT: STUDENT:dr.ing.

20!

 Etapele proiectării:

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Î"#$r ir%& r&#'r()*)i d% (r&n+"i+i% ('(&* #% ,'"#'n%n(%ț

D'"%nii r%,'"&nd&(% #%n(r) r&#'&r(%*% d% (r&n+"i(%r%

R&#'r()* d% (r&n+"i(%r% ('(&*

R&#'r()* d% (r&n+"i(%r% *& &ngr%n&-)* ,i*indri,

R&#'r()* d% (r&n+"i(%r% *& &ngr%n&-)* ,'ni,

R&#'r()* d% (r&n+"i(%r% *& (r&n+"i+i& #rin ,)r%&

C&*,)*)* ()r& ii*'r &r'ri*'r ț

C&*,)*)* #)(%ri*'r #% &r'ri

D%(%r"in&r%& "'"%n(%*'r d% ('r+i)n% #% &r'ri:

Di"%n+i'n&r%& &ngr%n&-)*)i ,i*indri,

Di+(&n & &/i&*$ "ini"$ din #)n,( d% %d%r% & #r%+i)nii d% ,'n(&,(ț

Di"%n+i'n&r%& &ngr%n&-)*)i ,'ni,

Di&"%(r)* "ini" n%,%+&r &* #ini'n)*)i

C&*,)*)* r' i*'r din &(% 1ț ț   i 1ș 3:D%(%r"in&r%& "'d)*)*)i "ini" & &ngr%n&-)*)i:

S)"& d%#*&+$ri*'r d% #r'4i*

Ung5i)* r%&* d% &ngr%n&r%

C&*,)*)* g%'"%(ri, &* &ngr%n&-%*'r ,i*indri,%

C&*,)*&r%& di&"%(r%*'r r' i*'r din &(% ,i*indri,%ț ț

Di&"%(r%*% d% dii1&r%

Di&"%(r%*% d% ,&#

Di&"%(r%*% d% 4)nd

Di&"%(r%*% d% ,&#:

C&*,)*)* g%'"%(ri, &* &ngr&n&-%*'r ,'ni,%

C&*,)*&r%& di&"%(r%*'r r'(i*'r din(&(% ,'ni,%

Di&"%(r%*% d% ,&#

Di&"%(r%*% d% 4)nd

2

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L$ i"%& d&n()riiț

Di"%n+i'n&r%& &r'ri*'r 

Ar'r%*% I

Ar'r%*% II

Ar'r%*% III

C&*,)*)* (r&n+"i+i%i #rin ,)r%&

C&*,)*&r%& 4'r %*'r din &ngr%n&-%ț

F'r %*% 6n &ngr%n&-)* ,'ni,ț

F'r %*% 6n &ngr%n&-)* ,i*indri,ț

V%ri4i,&r%& r)*"%n i*'r ț

Ar'r%*% I

Ar'r%*% II:

Ar'r%*% III:

7i*i'gr&4i%:

R%d),('r C'ni,' 8 Ci*indri, 98C;

3

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S$ +% #r'i%,(%1% )n r%d),('r d% (i# ,'ni,'8,i*indri, 98C; &<nd )r"$('&r%*%

d&(% ini i&*%:ț

P)(%r%& "'('r)*)i %*%,(ri,: P = > ?@B T)r& i& "'('r)*)i %*%,(ri,: nț i = 200 ?r'("inB T)r& i& d% i% ir% nț ș % = 30 r'("inB D)r&(& d% 4)n, i'n&r% n'r"&($: Dț 5=0000 5.

Tr&n+"i(%r%& "i ,$rii d% *& "'('r *& r%d),('r +% & 4&,% #rin in(%r"%di)* ,)r%*%*'r (r&#%1'id&*%.ș

S,5%"& ,in%"&(i,& & r%d),('r)*)i

4

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Î"#$r ir%& r&#'r()*)i d% (r&n+"i+i% ('(&* #% ,'"#'n%n(%ț

S% d%(%r"in$ r&#'&r(%*% d% (r&n+"i(%r% #%n(r) &ngr%n&-% i ,&*,)*&r%& &*'rii r$"&+% #%n(r)ș

,)r%&B I, 8 r&#'r()* d% (r&n+"i(%r% *& (r&n+"i+i& #rin ,)r%&B I2 8 r&#'r()* d% (r&n+"i(%r% *& &ngr%n&-)* ,'ni,B I3 8 r&#'r()* d% (r&n+"i(%r% *& &ngr%n&-)* ,i*indri,B

I T =

¿ne = ic * i12 * i34

D'"%nii r%,'"&nd&(% #%n(r) r&#'&r(%*% d% (r&n+"i(%r% 92 (&. .2 #&g. ;:

P%n(r) ,)r%*% (r&#%1'id&*%: i, = 2...3 9"&/ ;B P%n(r) &ngr%n&-% ,'ni,%: i2 = 2 9"&/ !;B P%n(r) &ngr%n&-% ,i*indri,%: i3 = 3 9"&/ ;B

R&#'r()* d% (r&n+"i(%r% ('(&* 9iT;:

IT =2500

140 = !

R&#'r()* d% (r&n+"i(%r% *& &ngr%n&-)* ,i*indri,:

I3   √ 17,85  = 322

I3 +(&+ =

R&#'r()* d% (r&n+"i(%r% *& &ngr%n&-)* ,'ni,:

I2 =iT 

i34 stas= 02

I2 +(&+ = 223

R&#'r()* d% (r&n+"i(%r% *& (r&n+"i+i& #rin ,)r%&:

I, =iT 

i34 stas∗i12stas=

17,85

2,24∗3,55  = 22

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C&*,)*)* ()r& ii*'r &r'ri*'r:ț

nI =ni

ic =

2500

2,24 = !0 ?r'("in

nII =n1

i12 =1116,072,24 = 3>23 ?r'("in

nIII =n2

i34 =498,24

3,55 = 30 ?r'("in

C&*,)*)* #)(%ri*'r #% &r'ri:

ηr)*=0>>0>> 8 r&nd&"%n()* *& r)*"%n iBț

  η 2=0>0> 8 r&nd&"%n()* *& &ngr%n&-)* ,'ni,B

η3=0>!0> 8 r&nd&"%n()* *& &ngr%n&-)* ,i*indri,B

  η,=0>30>! 8 r&nd&"%n()* *& (r&n+"i+i& #rin ,)r%&B

PI = PME J η, J η

r)* = > J 0> J 0>> = 3 ?@

PII = PI J   η2 J   η

r)* = 3 J 0>! J 0>> = 0 ?@

PIII = PII J η3 J η

r)* = 0 J 0> J 0>> = ?@

D%(%r"in&r%& "'"%n(%*'r d% ('r+i)n% #% &r'ri:

M( = >0000 J P1[ KW ]

n1[rot /min] ?NJ""

M(I = >0000 J8,47

1116,07=72657,82 ?NJ""

M(II = >0000 J8,05

498,24=154683,1 ?NJ""

M(III = >0000 J7,74

140,35=527296,4 ?NJ""

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Di"%n+i'n&r%& &ngr%n&-)*)i ,i*indri,:

D%n)"ir%& Si"'*

TT9+(&r%

;

D)ri(&(% H7

Tr&,Ki)n% În,''i%r% R$+),ir%

r , 8( 0 0 8O %* &*i&( #%n(r)ț

6")n$($Kir% STAS>8 30C0 C)8R 2 000 00 !0 >0 20

M&(%ri&* r' i din &(% ,i*indri,%:ț ț

Di+(&n & &/i&*$ "ini"$ din #)n,( d% %d%r% & #r%+i)nii d% ,'n(&,( %+(%:ț

&"in = 9i3; {  M t 3∗( K  A∗ K v∗ K  Hα ∗ K  Hβ )∗(Z  H ∗Z  E∗Z ε∗Z  β )2

2∗i342 ∗ψa∗( σ  H  lim b 4

S HP 4 )

2

∗( Z  N 4∗Z  L∗Z  R∗Z  ∗Z W ∗Z  ! )2 }  

?(&. 38>!#&g.

)nd%:

i3 = M(III = 22>!3 ?NJ""  A =0 ? (&. A382 #&g. 0  V =2 ? (&. 38>! #&g.  H = 3 ? (&. 38>! #&g.  HQ = ? (&. 38>! #&g. ZH = 2 ? (&. 38>! #&g. ZE = > MP&2 ? (&. 38>! #&g. Z = 0> ? (&. 38>! #&g. Z = ? (&. 38>! #&g.

& =2ψ "

i34+1  = 02 ? (&. A 3.2

H *i" 3 = 90 J H !00; 0 = >00 ? (&. A 3.! SHP3 = ? (&. A 3. ZL = ? (&. 38>! #&g. ZR = ? (&. 38>! #&g. ZV = ? (&. 38>! #&g.

7

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Z@ = ? (&. 38>! #&g. Z N3 = ? (&. 38>! #&g.

&"in = 9;

2,5∗189,8∗0,95∗1¿2

¿

527296,4∗(1,50∗1,2∗1,3∗1 )∗¿¿¿

= !> ?""

Di"%n+i'n&r%& &ngr%n&-)*)i ,'ni,:

M&(%ri&* r' i din &(% ,'ni,%:ț ț

D%n)"ir%&Si"'*

TT9+(&r%

;

D)ri(&(% H7

Tr&,Ki)n% În,''i%r% R$+),ir%

r , 8( 0 0 8

OK%* &*i&( #%n(r)6")n$($Kir% STAS >8 30C0 C)8R 2 000 00 !0 >0 200

Di&"%(r)* "ini" n%,%+&r &* #ini'n)*)i:

d" "in =

#2+1¿1 /2

¿2∗ M t 1∗ K  A∗ K  H ∗ K  Hβ∗ K  Hα ∗¿

¿¿

  ?(&. 3.>!#&g. >0

)nd%:

M(I =   72657,82  ?NJ""

 A = 0  HV = 0> J 00003 J n =  H = ? (&. 38>! #&g.  HQ = ? (&. 38>! #&g. ZH =2 ? (&. 38>! #&g. ZE = > MP&2 ? (&. 38>! #&g. Z = 0> ? (&. 38>! #&g. Z = ? (&. 38>! #&g. d" = 0.! ? (&. 38>! #&g. H *i" 3 = >00 ? (&. A 3.! SHP3 = ? (&. A 3. Z N = ? (&. 38>! #&g.

8

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ZL = ? (&. 38>! #&g. ZR = ?(&. 38>!#&g. ZV = ?(&. 38>!#&g. Z@ = ?(&. 38>!#&g. Z/ = ?(&. 38>!#&g.

d" "in=

3,552+1¿1 /2

¿2∗72657 $82∗1,50∗1,15∗1∗1∗¿

¿¿

= ! ?""

C&*,)*)* r' i*'r din &(% 1ț ț   i 1ș 3: 1 = 23 ? (&. 3.>! #&g. > 13 = i3 J 1 = J 23 =

D%(%r"in&r%& "'d)*)*)i "ini" & &ngr%n&-)*)i: &"in = !

""in =2∗amin

 %3+ %4=

2∗176,5524+87 =

"+(&+ = 3 ? (&. 3.3 #&g.

&0 =m∗( %3+ %4)

2 =4∗(24+87)

2=222 ?""

&0 = &+(&+ = 22 ?""

Ung5i)* r%&* d% &ngr%n&r%:

Q0 = 200 9+(&+;

Q   ¿arcosα 0∗cosα 0

astas

=225∗cos  (20)

225 = 0!

S)"& d%#*&+$ri*'r d% #r'4i*:

/W ¿(

inv α −inv α 0

t'α 0)∗ %

3+ %

4

2  ? (&.3.0 #&g. 2

9

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/W = ( inv (20 )−inv (20 )t' (20 )   )∗24+87

2  =¿  03

/ = 0 ? (&. 3.! #&g. 3

/3 = 080 = 80>

C&*,)*)* g%'"%(ri, &* &ngr%n&-%*'r ,i*indri,%:

C&*,)*&r%& di&"%(r%*'r r' i*'r din &(% ,i*indri,%:ț ț

Di&"%(r%*% d% dii1&r%:

d = " J 1 = 3 J 23 = >! d = >! ?""

d3 = " J 13 = 3 J = 3 d3 = 3 ?""

Di&"%(r%*% d% 4)nd:

d4 = " J 1 8 2 J " = 3 J 23 8 2 J 3 = !3 d4 = !3 ?"" d43 = " J 13 8 2 J " = 3 J 8 2 J 3 = d43 = ?""

Di&"%(r%*% d% ,&#:

În$* i"%& din(%*)i:ț

5 = 22 J " = 22 J 3 = > 5 = > ?"" d& = d4 2 J 5 = !3 2 J > = 033 d& = 033 ?"" d&3 = d43 2 J 5 = 2 J > = 30! d&3 = 30! ?""

  L$ i"%& d&n()ri*'r:ț

 3 = & J &  3 = 02 J 22 = !  3 = ! ?""   = 3 90; J " = ! J 0 J 3 = 2!   = 2! ?""

10

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C&*,)*)* g%'"%(ri, &* &ngr&n&-%*'r ,'ni,%: X = 0

X2 = 320

d% = d" J 9 d" J +in X; d% = ! J 9 0! J +in92;;

d% = > ?"" d%2 = J !0 d%2 = 2 ?"" 1 =

"% ="e1

 %1

=95,31

17 = !0

"% +(&+ = ! ?(&. 3.3#&g. d% = J ! d% = 02 ?""

12 = J 12 = !0

i2 r%&* =60

17=3,52

d%2 = !0 J ! d%2 = !0 ?""

d" ="e 1

1+ψ "m∗sin  (( 1)

d" =

102

1+0,65∗sin (15,73) d" = ?""

d"2 ="e 2

1+ψ "m∗sin  (( 2)

d"2 =360

1+0,65∗sin  (74,27)

d"2 = 22?""

"n ="

m1

 %1 =

87,73

17  

"n = ! 5& = J " = J ! = ! ?"" 54 = 2 J " = 2 J ! = 2 ?"" 5 = 22 J " = 22 J ! = 2 ?""

11

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C&*,)*&r%& di&"%(r%*'r r'(i*'r din(&(% ,'ni,%:

Di&"%(r%*% d% ,&#:

d& = d" 2 J 5& J ,'+9X; = !! 2 J ! J ,'+9; = >

d& = > ?"" d&2 = d"2 2 J 5& J ,'+9X2; = 2> 2 J ! J ,'+932; = 20 d&2 = 20 ?""

Di&"%(r%*% d% 4)nd:

d4 = d" 8 2 J 54 J ,'+9X; = !! 8 2 J 2 J ,'+9; = !22 d4 = !22 ?"" d42 = d"2 8 2 J 54 J ,'+9X2; = 2> 8 2 J 2 J ,'+932; = 22>0 d42 = 22>0 ?""

L$ i"%& d&n()rii:ț

Z # =1

sin )J   √  %1

2+ %2

2+2∗ %1∗ %

2∗cos )

Z # =1

sin  (90)  J   √ 172+602+2∗17∗60∗cos  (90)

Z # = !2!

R % = 0 J "% J 1 #

R % = 0 J ! J !2! R % = 0   Y 0 J R % i Y 0 J "ș %

  = 0 J 0 = !2   = !2 ?""

Di"%n+i'n&r%& &r'ri*'r 

S'*i,i($ri*% #rin,i#&*% din &r'ri +)n( ,%*% d% ('r+i)n% d&('ri($ 4'r %i r&di&*% &/i&*% 6nț

&r'ri &#&r i +'*i,i($ri d% 6n,''i%r%. Ar'rii +% #r%di"%n+i'n%&1$ din +'*i,i(&r%& d% ('r+i)n%ș

%4'r()* d% 6n,''i%r% *)<nd)8+% 6n ,'+id%r&r% #rin r%d),%r%& r%1i+(%n %i &d"i+ii*% *& ('r+i)n% 6nț

&,%+( "'d +% d%(%r"in$ ,&#$()* d% &r'r% ,&r% & 4i ,%& "&i "i,$ &*'&r% di"%n+i)n% & &r'r%*)i.

12

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P'rnind d% *& &,%&+($ &*'&r% +% 'r ,'n+(r)i #% ,'+id%r%n(% g%'"%r(i,% 4)n, i'n&*% iț ș

(%5n'*'gi,% ('&(% (r'n+'&n%*% &r'r%*)i.

Pr%di"%n+i'n&r%& +% r%&*i1%&1$ ,) &-)('r)* r%*& i%i:ț

d # =3

√16∗ M t 

* ∗+ at 

M( = "'"%n()* d% ('r+i)n%B &( =2 MP&

D&,$ di4%r%n & din(r% di&"%(r)* d% 4)nd &* r' ii din &(% i di&"%(r)* (r'n+'n)*)i #% ,&r%ț ț ț ș

&,%&+(& & 4i "'n(&($ %+(% "&i "i,$ d% 20 "" &r'r%*% i r'&(& din &($ 'r 4i %/%,)(&(% din ,'r#ș ț

,'")n &<nd d% r%g)*$ "&(%ri&*)* r' ii din &(%.ț ț

C&#%(%*% d% &r'r% +% #'( d%(%r"in& i ,) &-)('r)* )n)i (&%* d% +(&nd&rdi1&(: (&.>.3 #&g.ș

32 An(&* A. R%d),('&r% >>3. T&%*)* %+(% ,'n+(r)i( #%n(r) )n ' %* ,&r% &r% r%1i+(%n & *& r)#%r%ț ț

d% 0 MP& 9OL 0; 6n ,&1)* 6n ,&r% +% )(i*i1%&1$ &,%+( "&(%ri&* (&%*)* +% )(i*i1%&1$ &+(4%*:

,$)(<nd #% ,'*'&n& C &*'&r%& "'"%n()*)i %4%,(i d% #% &r'r% +&) &*'&r%& i"%di&( +)#%ri'&r$

& &,%+(%i&.

P%n(r) "&(%ri&*% ,) &*'ri di4%ri(% +% & )(i*i1& )n ,'%4i,i%n( d% %,5i&*&r% & "'"%n()*)i

d% ('r+i)n%: = Rm (materia, arbore )[ MPa]

550 [ MPa] &,%+( 4&,('r +% & )(i*i1& #%n(r) ,'r%,(&r% M (% #%

&r'r%.

M(% = M t 

 K 

M&(%ri&*% &r'ri:

 #%n(r) &r'rii I i II +% & 4'*'+i 30C0Bș

D%n)"ir%& Si"'

*

TT

9+(&r%

D)ri(&(

% H7

Tr&,Ki)n% În,''i%r% R$+),ir%r , 8( 0 0 8

13

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;OK%*&*i&(#%n(r)6")n$($Kir 

% STAS >8 30C0 C)8R 2 000 00 !0 >0 200

 #%n(r) &r'r%*% III +% & 4'*'+i OL 0B

D%n)"ir%

&Si"'

*

TT

9+(&r%

;

D)ri(&(

% H7

Tr&,Ki)n% În,''i%r% R$+),ir%

r , 8( 0 0 8OK%*

,&r'n d%

)1 g%n%r&*

STAS

00280 OL 0 N

3>0..!0

2! 20 230 0 30

M(=   72480 ?NJ"" = 23 ?NJ"

M(2 =   154372 ?NJ"" = 3 ?NJ"

M( =   527296,4 ?NJ"" = 22> ?NJ"

=1000

550=1,81

=

M(% =72,4

1,81=40-  d, = 30 ?""

M(%2 =154,37

1,81   =85,28-  d,2 = ?""

M(% =527,29

1,81  =291,3- d, = 0 ?""

14

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Ar'r%*% I:

C&*,)*&r%& di&"%(r%*'r (r'n+'&n%*'r:

d, 8 ,&#$()* d% &r'r% ,&*,)*&(B d, = 0 ?""

8 #% (r'n+'n)* &2 +% "'n(%&1$ ' "&n %($ d% r'(& i%: STAS >028Bș ț

d = 2 ?"" ?2 (&. . #&g. !>

Di&"%(r)* in(%ri'r d

Di&"%(r)* %/(%ri'r D

L&(i"%& 

2 32

8 #% &  +% "'n(%&1$ ' ), $ i ' #i)*i $ #%n(r) +(r<ng%r%& r)*"%n i*'r i ' &i$ d% +ig)r&n $ș ș ț ț ș ș ț

 #%n(r) *',&r%& #i)*i %i d)#$ +(r<ng%r%Bț

Pi)*i & M/ STAS !8>Bț

?2 (&. . #&g 2B

15

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Si"'* Fi*%(d

D A&(%ri52

D A&(%ri53

7 A&(%ri53

S ( S&i& d%+ig)r&n(&

M / 2 0800

! 0803

0!0

2 M7

&i& M7 STAS >8>BȘ

?2 (&..> #&g. 2!

Si"'* d D D   E S g Nr.

d%

din(i

 N

'

"

in

&

*

A&(%ri N

'

"

in

&

*

A&(%ri N

'

"

in

&

*

A&(%ri N

'

"

in

&

*

A&(%ri N

'

"

in

&

*

A&(%ri

M7

020

8020

3

3

0!2

0

2

020

8020

! 0

80

0

800

2

8 #% &3  +% "'n(%&1$ 2 r)*"%n i r&di&*i &/i&*i ,) r'*% ,'ni,% i ' &i$ di+(&n i%r #%n(r) %i(&r%&ț ș ș ț

&(ing%rii 6n (i"#)* 4)n, i'n$riiBț

D2 = 30 ?""

d D 7 ,30 >0 2 32

8& )"$r d% +#ri-in #%n(r) 4i/&r%& &r'r%*)i &/i&*:

16

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D = ?""

C&*,)*&r%& *)ngi"i*'r (r'n+'&n%*'r:

& = &+(&+ = 0 ?"" STAS 3228 ?2 (&. >.2 #&g. 3B

&2 = *+ * # *% 3 &2 = 3 = 22 ?"" & = +ig)r&n $ &i$ț ș   &i$ di+(&n i%rș ț   3 2 = 20 ?"" &3 = r)*"%n iț  &/i&*i ,) r'*% ,'ni,% = 0 ?"" & = 20 ?"" &! = 2 ?"" & = "" & = 3! ?""

L)ngi"%& ('(&*$ & &r'r%*)i I:

&I = & &2 & &3 & &! &

&I = 0 22 20 0 20 2 3! = 2!!

Ar'r%*% II:

17

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C&*,)*&r%& di&"%(r%*'r (r'n+'&n%*'r:

d,II = ,&#$()* d% &r'r% ,&*,)*&(B d,II = ?""

8 #% & i &ș ! +% "'n(%&1$ d'i r)*"%n i r&di&*i ,) i*% #% )n r<nd: STAS 038!Bț

d,II = d+(&+ = 30 ?""

?2 (&. .2 #&g. 20

d D 7 ,30 0 2!

8 #% &2 i &ș 3 +% "'n(%&1$ r'&(& din &($ ,'ni,$ 91ț 2; i r'&(& din &($ ,i*indri,$ 91ș ț ;:

d = d = 30 = 3

d = 3 ?""

8 & )n )"$r d% +#ri-in #%n(r) 4i/&r%& &/i&*$ & ,%*'r 2 r' i din &(%:ț ț

d2 = d2 =0 d2 = 0 ?""

18

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C&*,)*&r%& *)ngi"i*'r (r'n+'&n%*'r:

& = 2 = 2! ?"" &2= 8 2 = ?"" & = 0 ?""

&3 = ?"" & = 2 2 = 2 ?""

L)ngi"%& ('(&*$ & &r'r%*)i II:

&II = & &2 & &3 &

&II = 2! 0 2 = 2 ?""

Ar'r%*% III:

C&*,)*&r%& di&"%(r%*'r (r'n+'&n%*'r:

d, = ,&#$()* d% &r'r% ,&*,)*&(B d, = ! ?""

8 #% (r'n+'n)* &! +% "'n(%&1$ ' "&n %($ d% r'(& i%: STAS >028Bș ț

d = ! ?"" ?2 (&. . #&g. !>

Di&"%(r)* in(%ri'r Di&"%(r)* %/(%ri'r L&(i"%&

19

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d D 0 >0 0

8 #% & i &ș  +% "'n(%&1$ d'i r)*"%n i '+,i*&n i ,) r'*% ,i*indri,%: STAS 038!Bț ț

d2 = d+(&+ =0 ?""

d D 7 , > 0 2

8 #% &2 +% "'n(%&1$ r'&(& din &($ ,i*indri,$ 1ț 3:

d = =0

d = 0 ?""

8 & %+(% )n )"$r d% +#ri-in #%n(r) 4i/&r%& &/i&*$ & r' ii din &(% ,i*indri,% 1ț ț 3B

d3 = 0 = d3 = ?"" d 8 (r'n+'n *i%rB

C&*,)*&r%& *)ngi"i*'r (r'n+'&n%*'r:

& = 30 ?"" &2 = 0 = 2 ?"" & = r)*"%n i = ?""ț

)"$r = ?"" &3 = ! 8 33 8 8 0 = ! ?"" )"$r = ?"" & = 03 8 2 = 33 ?"" &! = r)*"%n ii 2 = ! ?""ț

L)ngi"%& ('(&*$ & &r'r%*)i III:

&III = & &2 & &3 & &! &

&III = 30 2 ! 33 ! = 30 ?""

C&*,)*)* (r&n+"i+i%i #rin ,)r%&:

20

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P = > ?@ ni = 200 ?r'("in n = ! ?r'("in i, = 22 D # = 00 ?""

D #2 = i, J D #= 22 J 00 = 22

D #" = . /1+ . /2

2  =

100+2252

  =¿  !2 ?""

A = '02 J 9 D #  D #2; A = 2 J 0 = >0 A = 300 ?""

 = 2 J &r,+inϒ  . /2− . /1

2∗ A  =2∗arcsin

 225−100

2∗400=17,84

[ = 0 8 3 = !2!0

[2 = 0 3 = >30

L # = 2 J A \ J D #"

 .¿

¿ /2− . /1¿2

¿¿¿

= 2 J 300 \ J !2 125

2

4∗400 = 202

L # = L+(&+ = 300 ?"" STAS >28! ?2 (&. .! #&g.30

V = . /1∗n1

19100 =

100∗250019100 = 0 ?"+

F = 0 J 913,087

=¿  !0 ?N

S = 2 J F S = J !0 = 203 ?N S = Fi = 203 ?N

F(, =2∗ M t 

 . /2

=2∗72480

225 = !332! ?N

C&*,)*&r%& 4'r %*'r din &ngr%n&-%:ț

F'r %*% 6n &ngr%n&-)* ,'ni,:ț

F( =2∗ M t 1

"m1

=2∗7248087,73

  =¿  !23 ?N

Fr = F( J (g Q J,'+ X = !23 J(g920; J ,'+9; = ?N

21

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F/ = F( J (gX = !23 J (g920; J +in9; = !2!0 ?N

Fn = 0 t 1

cos∝ =1652,34

cos  (20)  = >! ?N

F(2 = 2∗ M t 2"m2

=2∗154683,1221,53

  =¿  >!3> ?N

Fr2 = F(2 J (g Q J ,'+ X2 = >!3> J (g920; J ,'+932; = 32 ?N F/2 = F(2 J (g J X2 = >!3> J(g920; J +in932; = 3>3 ?N

Fn2 = 0 t 2

cos∝ =1396,49

cos  (20)  = 320 ?N

F'r %*% 6n &ngr%n&-)* ,i*indri,:ț

F( =2∗ M t 2

"3

=2∗154683,196

  =¿  222! ?N

Fr = F( J (g Q = 222! J (g920; = 2> ?N

Fn = 0 t 3

cos∝ =3222,56

cos  (20)  = 3>0 ?N

F(3 =2∗ M t 3

"4

=2∗527296,4

348  =¿  003 ?N

Fr3 = F(3 J (g Q = 003 J (g920; = 02> ?N

Fn3 = 0 t  4

cos∝ =3030,43

cos  (20)  = 222> ?N

V%ri4i,&r%& r)*"%n i*'r:ț

P%n(r) %ri4i,&r%& d)r&i*i($ ii r)*"%n i*'r #% #%ri'&d& +#%,i4i,&($ i"#)+$ d% d&(%*%ț ț

 #r'i%,()*)i +% #r',%d%&1$ &+(4%* :

. S% %,5i&*%&1$ &r'r%*% ,) ' &r$ +i"#*$ r%1%"&($ & ,$r%i r%&1$"% +)n( ,5i&r r)*"%n iiBț

2. S% ,'n+id%r$ 2 #*&n% #%r#%ndi,)*&r% 6n(r% %*% ,&r% (r%, #rin &/& &r'r%*)i 9V i H;Bș

. S% ,&*,)*%&1$ r%1)*(&n(& 4'r %*'r 6n 4i%,&r% r%&1$":ț

R 7 =   √  12+ H 1

2

B

22

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R 7 =   √  12+ H 1

2

B

3. S% %ri4i,$ d)r&i*i(&(%& 4i%,$r)i r)*"%n( ,) r%*& i& :ț

LA= ( 2 

 R A )

 /

 LA]LHB

 # = 0 8 #%n(r) r)*"%n i ,) i*%Bț

 # = 0 8 #%n(r) r)*"%n i ,) r'*%Bț

LH = .3∗60∗n

106  ^ d)r&(& %/#ri"&($ 6n "i*i'&n% d% r'(& iiBț

Ar'r%*% I:

P'1i i% %r(i,&*$ț

WMA = 0B F(, J 0 V7 J 8 F( J 023 Mi

23

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Mi = F/ J"m1

2  = !2!0 J87,73

2  = 3>

V7=647,14∗105−1652,34∗102,43+7114,9

58,5=¿  0!0 ?N

V7 = 0!0 ?N WM7 = 0B F(, J ! 8 VA J 8 F( J3> Mi

VA=647,14∗163,5−1652,34∗43,93+7114,9

58,5  =¿  033 ?N

VA= 033 ?N

P'1i i% 'ri1'n(&*$:ț

WMA = 0B Fi J 0 H7 J 8 Fr J 023

H7=1204,12∗105−577,33∗102,43

58,5  =¿  0 ?N

H7= 0 ?N

24

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WM7= 0B Fi J ! 8 HA J 8 Fr J 3>

HA=1204,12∗163,5−577,33∗43,93

58,5  =¿  2>2 ?N

H7= 2>2 ?N R A=   √   A

2 + H  A2 =√ 1807,44 2+2931,822=¿  333 ?N = 33 ?N

R 7=   √  12+ H 1

2=√ 3013,602+1150,372=¿  22!> ?N = 22 ?N

LH = . 3∗60∗n

1

106  =

10000∗60∗111610

6  =¿  !!>!

LAI= ( 2∗2 

 R A )

 /

=( 2∗65,53,44 )3,3

=164570,66>¿  LH

L7I= ( 2  R1 )

 /

=(  523,22 )

3,3

=9702,56   ¿  LH

Ar'r%*% II:

P'1i i% %r(i,&*$:ț

25

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WMA= 0B V7J 3 8F(2J 2 8 F( J0 Mi2

Mi2 = F/2J

"m2

2  = 3>3 J

221,53

2= 303!!

V7 =1396,49∗27,5+3222,56∗107,5+54046,67

134  =¿  2 ?N

V7= 2 ?N WM7=0B V& J 3 F(2 J 0! 8 F( J2! 8 Mi2

VA=−1396,49∗106,5−3222,56∗26,5+54046,67

134  =¿  3! ?N

VA=3! ?N

P'1i i% 'ri1'n(&*$ț

26

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WMA=0B Fr2 J 2 Fr J 0 8 H7 J 3

H7=137,42∗27,5+3222,56∗107,5

134  =¿ 2!3! ?N

H7= 2!3! ?N WMB= 0B Fr2 J 0! Fr J2! HAJ3

HA=137,42∗106,5+3222,56∗26,5

134  =¿ 3! ?N

HA= 3! ?N

R A=   √   A2 + H  A

2=√ 1343,862+746,512=¿  2!2! ?N = 2 ?N

R 7=   √  12+ H 1

2=√ 3275,182+2613,462=¿  3>00 ?N= 3> ?N

LHII = . 3∗60∗n

2

106  =

10000∗60∗49810

6  =¿  2>

LAII= ( 2 

 R A )

 /

=( 65,51,27 )3,3

=447758,67>¿  2>

27

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L7II= ( 2 

 R1) /

=( 65,54,19 )3,3

=8715,45>¿ 2>

Ar'r%*% III:

P'1i i% %r(i,&*$ț

WMA=0B V7 J ! F(3 J 3

V7=3030,43∗45,7

136  =¿ 0 ?N

V7 = 0 ?N

WM7 = 0B VA J ! 8 F(3 J >0

VA =3030,43∗90,3

136  =¿  202 ?N

VA = 202 ?N

28

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P'1i i% 'ri1'n(&*$ț

WMA = 0B H7 J ! 8 Fr3 J 3

H7 =1102,98∗45,7

136=¿  0! ?N

H7 = 0! ?N WM7 = 0B HA J ! 8 Fr3 J >0

HA =1102,98∗90,3

136=¿   23 ?N

HA = 23 ?N R A=   √   A

2 + H  A2 =√ 2012,112+732,34

2=¿  232 ?N = 23 ?N

R 7=   √  12+ H 1

2=√ 1018,312+370,632=¿  0!! ?N = 0 ?N

29

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LHIII = . 3∗60∗n

3

106  =

10000∗60∗14010

6  =¿  3

LAIII = ( 2 

 R A )

 /

=(  1322,14 )3,3

=808218>84

L7III = ( 2 

 R1) /

=(  1321,08 )3,3

=7719613,90>84

7i*i'gr&4i%:

. R$d)*%+,) G5. .&. Îndr)"$('r d% #r'i%,(&r% 6n ,'n+(r), i& d% "& ini '*. %di()r&ș ț ț

(%5ni,$ 7),)r% (i >!Bț

2. An(&* A. .&.R%d),('&r% >>3 *i(' I.P.C.N. >>3Bș

. Cr)d) I. .&.R%d),('&r% ,) r' i din &(% %di()r& E.D.P.7),)r% (i >.ș ț ț ș

30

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