IJͲ ֲ
()
:
,
-
2010
693.827(07)
38.5
89
(). : , / .., ... : , 2010. - 35 .
. .
: .., ..., ,
.., ..., .
: . . , ..., .
³ ..
- ,
4 29.12. 2009.
,
4 17. 2009.
, 10 16.12. 2009.
() , , () , .
, , , , .
11 , , .
[1]:
1. (. 3-7).
2. 1. (.8-22).
3. 2. (.52-126).
ҳ .
г [1]: 1 2 - 1.3.4; 3 4 - 2.2.3. 5 6 2.2.4, 7 2.2.5, 8 2.2.6; 9 2.3.1. 10 11 2.3.2.
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( ) , . , , 糿.
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1. 200450, 20 ᒺ 0,02 50.
1.
bw, | hw | / , | μ fv | l f, | . | ||
25 . | 0.02 | ||||||
20 . | 0.025 | ||||||
15 . | 0.018 | ||||||
30. | 0.015 | ||||||
15 . | 0.02 | ||||||
20 . | 0.025 | ||||||
30 . | 0.018 | ||||||
25 . | 0.02 | ||||||
15 . | 0.017 | ||||||
30 . | 0.025 |
:
1. 1,3 4 :
rf = 550; rb = 11,5; k = 0,507 ( b/ l f =450/50=9;
h/ l f = 200/50 =4).
2. :
L = ( mfvRf)/Rb = (0,5072×0,02550)/11,5 =0,246
:
jf = (5 + L)/(1 + 4,5L) = (5+0,246)/(1+4,5×0,246)=2,450.
3. :
rsfb = rb + jfmfvrf = 11,5 + 0,5072×2,450×0,02×550 = 18,4.
2. 1 df=0,5.
2.
bw, | hw | / , | μ fv | l f, | df | . | ||
25 . | 0.02 | 0,5 | ||||||
20 . | 0.025 | 0,6 | ||||||
15 . | 0.018 | 0,6 | ||||||
30. | 0.015 | 0,8 | ||||||
15 . | 0.02 | 0,6 | ||||||
20 . | 0.025 | 0,6 | ||||||
30 . | 0.018 | 0,7 | ||||||
25 . | 0.02 | 0,9 | ||||||
15 . | 0.017 | 0,6 | ||||||
30 . | 0.025 | 0,5 |
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:
1. 1, 2, 3 5 :
Rf=550; Rb=11,5; k2=0,555 ( b/ l f=450/50=9
h/ l f=200/50=4); h=0,9.
2. ̳ :
l f,an =(h dfRf)/Rb =(0,9×0,5×550)/11,5=21,5 < l f/2=50/2=25.
3. ̳ :
rsfbt=m1[(ko2mfvRf)(1 - l f,an/ l f) + Rb(0,08 - 5,5mfv)] =
=1×[(0,5552×0,02×550)(1-21,5/50)+11,5(0,08-5,5×0,02)]=1,58,
m1=1 ( ).
, l f,an > l f/2, :
rsfbt=m2Rb[(ko2mfv l f) / (4hdf) + 0,08 - 5,5 mfv].
3. .
3.
bw, | hw, | / , | μ fv | l f, | df, | .* | N .* | |
25 . | 0.02 | 0,5 | ||||||
20 . | 0.025 | 0,6 | ||||||
15 . | 0.018 | 0,6 | ||||||
30. | 0.015 | 0,8 | ||||||
15 . | 0.02 | 0,6 | ||||||
20 . | 0.025 | 0,6 | ||||||
30 . | 0.018 | 0,7 | ||||||
25 . | 0.02 | 0,9 | ||||||
15 . | 0.017 | 0,6 | ||||||
30 . | 0.025 | 0,5 |
: b=200; h=450; Rsfb=18,4; rsfbt =1,58 ( 1 2); =50; N=100 (.3).
:
1. N .. :
0= /N= 50/100= 0,5= 500 > h/2= 450/2= 225,
, (. .1,).
2. N , :
= 0 - h/2 = 500 - 450/2 = 275.
3. x:
x = (Rsfbtbh - n) / [b(0,5rsfb - Rsfbt)] =
=(1,581060,2×0,45-100103) / [0,2(0,518,4106-1,58106) =
=2,7710-3= 277.
4. ̳ :
Ne£0,5[Rsfbb x (h- x /3)-Rsfbtb(h- x)]
1001030,275=27,5103< 0,5[18,41060,20,277(0,45 -
-0,277/3)-1,581080,2(0,45-0,277)] =155103 =155 , .
, 0< h/2 (. . 1,), :
N £ RsfbtAsfb,tot
. 1. , : ; ; 1 .. ; 2 .. ; 3 , .
4. .
4.
b, | h, | . | M, kH* | N, kH | , | ||
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: b=200; h=450; Rsfbt=1,58 ( 2); =20; N=350; a = a '=30 (.4); h0 = 450 - 30= 420; - (Rs=365).
:
1. N:
0= M/N =20/350 =0,057 =57.
2. N 䳿 :
= h/2 - 0 - a = 0,45/2 - 0,057 - 0,03 = 0,138 =138;
, 䳿 () :
= h/2 + e0 - = 0,45/2 + 0,057 -0,03=0,252 =252.
3. = 252 < h0- = 0,42 - 0,03 = 0,39 =390 - , .
4.
N £ (hRspAsp+RsAs)(h0- )+RsfbtAsfb,tot(0,5h- ) Ne£(hRsp +Rs )(h0- a)+RsfbtAsfb,tot(0,5h- ),
:
/ :
s= [N -RsfbtAsfb,tot(0,5h- )]/[Rs(h0- )] =[3501030,252-
- 1,581060,20,45(0,50,45 - 0,03)]/[365106(0,42 - 0,03)]=
= 4,2510-4 2 = 4252.
/ :
= [Ne - RsfbAsfb,tot(0,5h - a)]/[Rs(h0 - a)] = [3501030,138 -
- 1,581060,20,45(0,50,45 - 0,03)]/[365106(0,42 - 0,03)]=
= 1,4510-4 2 = 1452.
5. ϳ , .
5.
b, | h, | . | M, kH* | ||
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- |
. 2. .
: b=200; h=450; Rsfbt=1,58 ( 2); = 250 (.5); - (Rs=365).
:
1. =50 :
h0= h - a = 450 - 50= 400.
2. x=0,35 ( x 0,3...0,5) : x = xh0= 0,35400= 140.
3. :
As = [M-0,5Rsfbth(h- x)]/[Rs(h0-0,5 x)] =
=[250103-0,51,581060,45(0,45-0,14)]/[365106(0,40,50,14) =1,16210-3 2 = = 11622.
4Æ20 -; As=12562.
6. .
6.
γb2 | , kH* | ||||||
bf/ x hf /, | b x h, | ||||||
500 x 100 | 200 x 400 | 4 Ø 22 - | 0,9 | 15 | |||
450 x 80 | 250 x 400 | 4 Ø 20 - | 20 | ||||
400 x 80 | 200 x 300 | 4 Ø 18 - | 0,9 | 25 | |||
500 x 100 | 300 x 500 | 4 Ø 22 - | 30 | ||||
450 x 100 | 250 x 450 | 4 Ø 20 - | 0,9 | 15 | |||
400 x 100 | 200 x 400 | 2 Ø 22 - | 20 | ||||
420 x 80 | 200 x 450 | 2 Ø 25 - | 0,9 | 25 | |||
500 x 80 | 250 x 500 | 4 Ø 22 - | 30 | ||||
400 x 80 | 250 x 450 | 4 Ø 20 - | 0,9 | 35 | |||
450 x 100 | 300 x 500 | 4 Ø 22 - | 20 |
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: =400; =100; b=250; h=400; =190; 20 ; gb2=0,9 (.6); a=0,8; rsfb=15; rsfbw=14; rsfbtw=2,0 ( (1.25)... (1.29) .1.3.4. (1); 4Æ22- (.6); As=15202; rs=365;
h0=h- a = 400- - 40 = 360.
:
1. , :
=rsfb (h0-0,5 )-rsfbtw[(h- )/2- ]=
= 151060,10,4(0,36 - 0,50,1) = 186.
2. : £
= 190 > = 186, , (. .3.).
3. x :
x =[rsas+rsfbtwbh+rsfbwb -rsfb ]/[b(rsfbw+rsfbtw)]=
=[3651520+2,0250400+14250100-15400100]/[250(14+ +2)]=126,2.
4. 2.03.01-84:
xr=w/{1+(rs/500) [(1-(w/1,1)]}=
= 0,68/{1+(365/500)[1 0,68/1,1)]}= 0,532,
: w=a - 0,008rsfb= 0,8 - 0,00815= 0,680.
5. x = x /h0= 12,62/36 = 0,351< xr=0,532 , , :
M = 190 < Mu= rsfb (h0-0,5 )+rsfbwb(x - )(h0-0,5 x -0,5 ) -
-rsfbtwb(h- x)[(h- x)/2- a)]=151060,40,1(0,36 - 0,50,1) + 141060,25(0,1262-0,1)(0,36-0,50,1-0,50,1262)-21060,25 (0,4-0,1262)[0,5(0,4-0,1262)-0,04] 196 - , .
£ (.2), ( , . . 3,). x (. 3) :
x =[rsfbt h+rsfbtwb(h- )+rsas]/[ (rsfb+rsfbt)],
:
m £ Mu=rsfb x (h0-0,5 x)-rsfbt - x)(ho-0,5 -0,5 x) -
-rsfbtwb[(h- )/2- a ].
. 3. , : ; .
7. .
7.
Q, kH | |||
S | |||
2Ø8- | |||
2Ø6 - | |||
2Ø6 - | |||
2Ø8 - | |||
2Ø6 - | |||
2Ø8 - | |||
2Ø10 - | |||
2Ø6 - | |||
2Ø6 - | |||
2Ø8 - |
. 4. .
: . 6. , q=1500; - 2Æ6 (.7), s=150 (asw=572; rsw=285).
:
1. : qsw= rswasw/s = 2851060,5710-4/0,15= 108300 /.
2.
:
³ 2h0 ³ 2×360= 720.
, ³ =
= = 2,97,
: jf = [0,75(40 - 25)10]/(25×36)= 0,125< 0,5,
bf = 400 < b+3hf= 250 + 3100= 550
0=2,97 >[1,721060,250,36(1+0)]/108300=2,83, : c0 ³[jb2rsfbtbh0(1+jn)]/(qsw+qs,inc) .
= 2,97.
3. , :
qsw= qswC = 1083002,97= 321650ͻ 322.
4. , : qsfb= qsfb a q = 5000002,97= 1485000H= 1485,
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: qsfb -
:
qsfb=(rsfbttw)/sin(900-b) =21060,25sin(900-0)= =500000/,
q = C = 2,97.
5. :
q £ qsw+qs,inc+qsfb=1500<322+1485=1807 ,
, .
8. .
: b =300; h= 450 (.8); rsfb= 15; 20 ; l o = 6; l = 50; M1 l = 40; N= 500; mfv= 0,02 (.8).
8.
bxh, | , | l 0, | - | , kH* | l ,kH* | N, kH | μ fv | |
300 x 400 | 35, . | 0,02 | ||||||
250 x 500 | 30, . | 0,025 | ||||||
250 x 400 | 25, . | 0,016 | ||||||
300 x 450 | 20, . | 0,02 | ||||||
250 x 450 | 15, . | 0,025 | ||||||
300 x 500 | 25, . | 0,015 | ||||||
250 x 400 | 30, . | 0,018 | ||||||
300 x 450 | 25, . | 0,02 | ||||||
300 x 50 | 20, . | 0,025 | ||||||
250 x 400 | 15, . | 0,017 |
:
1. a:
a ³ l o /600= 6000/600= 10; a ³ h/30= 450/30= 15; a ³ 10.
a = 15.
2. :
e0=M/N+e = 50/500 + 0,015= 0,115 = 115.
3. : esfb=13200+2150mfv+320r =13200+21502+32020=2,39104 ;
4. : I=bh3/12=0,30,453/12=22,810-4 4.
5. :
- : d=e0/h= 11,5/45= 0,25;
: de,min=0,5-0,01(l o /h)-0,01rsfb=
= 0,5 - 0,01(600/45) - 0,0115= 0,22;
, d= 0,22;
- , 䳿 :
j l =1+b(m1 l /m l) = 1 + 1,3(40/50)= 2,04;
- : ncr=(6,4esfb/ l o2){i/j l [0,11/(0,1+de/jp)+0,1]+ais}= =[(6,4×2,391010)/62]{(2,28×104/2,04)[0,11/(0,1+ 0,22)+0,1]}= 2520 , j=1, Is= 0 ( ).
6. : h=1/(1-n/ncr) = 1/(1 - 500/2520)= 1,25.
7. : eoh£0,5kh, k= 0,9:
115×1,25 < 0,5×0,9×450;
143,8 < 202,5 , .
8. :
Asfbc=bh[1-2e0(h/h)] = 300×450[1 - 2×115(1,25/450)]= 487502.
9. : N£ arsfbasfbc
N=500<115106487,510-4=731,2 .
9. , , 䳿 .
: n= 450; bxh= 400x400; 25 (.9); rsfbt,ser= 1,9; esfb= 2,7104 ( (1.27)...(1.30) (1); . 2 8); df= 0,5 l f= 50 (.9); ef= 1,8105; ᒺ mfv=0,02; 4Æ18-, as= 10182; ms=0,0064; es= 2×105; [ a crc] = 0,1.
9.
bw, | hw | , | μ fv | l f, | df | N, kH | ||||
25, | 0,016 | 0,5 | 4 Ø 16 - | |||||||
20, | 0,02 | 0,6 | 4 Ø 18 - | |||||||
35, | 0,018 | 0,7 | .. | 4 Ø 20 - | ||||||
30, | 0,021 | 0,8 | 4 Ø 16 - | |||||||
15, | 0,018 | 0,5 | .. | 4 Ø 18 - | ||||||
20, | 0,015 | 0,4 | 4 Ø 20 - | |||||||
30, | 0,02 | 0,7 | 4 Ø 16 - | |||||||
25, | 0,021 | 0,6 | .. | 4 Ø 20 - | ||||||
15, | 0,02 | 0,6 | 4 Ø 18 - | |||||||
30, | 0,016 | 0,5 | .. | 4 Ø 16 - |
:
1. , , asp 0 : Ncrc=Rsfbt,ser(Asfb+2aAsp+2aAs)+po=
= 1,9106(0,40,4 + 27,410,1810-4)= 332 630 ͻ 335.
2. : N£Ncrc,
n = 450 > ncrc = 335 - , .
3. 5 h/ l f = 400/50 = 8 b/ l f = 400/50= 8 k02= 0,549.
5. :
mfa = mfvk02 = 0,020,549 = 0,011.
5. m:
m= 1/{[40df(mfa + 5ms)/mfaa] + 1}=
=1/{[400,52(0,011+50,0064)/(0,011400400)]+ 1}=0,9998.
6. , : hf1= 0,5/(0,3 + m)= 0,5/(0,3 + 0,9998) = 0,38.
7. :
hred= (hf2mfa + hsms)/(mfa + ms)=
= (1,50,011 +10,0062)/(0,011 + 0,0062)= 1,32.
8. , 0,02:
mred= mfa + ms= 0,011 + 0,0062= 0,0172 < 0,02.
9. :
dred= ( mfa + ms)/(dfmfa + dsms)=
= (0,520,01+ 1820,0064)/(0,50,011 + 180,0064)= 17,2.
10. :
sf= (N-P)/(mredA)= [450 000/(0,01720,40,4)]10-6= 163,5 .
11. 䳿 :
crc=1,2j l hf1hred(sf/f)20(3,5-100mred) =
=1,21,750,381,32(163,5/1,8105)20(3,51000,017 =
= 0,08 < [ crc]= 0,1 , .
10. , , , 䳿 .
10.
b, | h, | , | μ fv | l f, | df, | ||||
25, | 0.02 | 0.5 | |||||||
20, | 0.025 | 0.6 | |||||||
25, | 0.018 | 0.6 | .. | ||||||
30, | 0.016 | 0.8 | |||||||
15, | 0.02 | 0.5 | .. | ||||||
20, | 0.025 | 0.4 | |||||||
30, | 0.017 | 0.7 | |||||||
25, | 0.02 | 0.9 | .. | ||||||
15, | 0.015 | 0.6 | |||||||
30, | 0.025 | 0.5 | .. | ||||||
. | M, kH* | ||||||||
S | S/ | ||||||||
4 Ø 20 - | 2 Ø 14 - | ||||||||
4 Ø 18 - | 2 Ø 12 - | ||||||||
4 Ø 22 - | 2 Ø16 - | ||||||||
4 Ø 24 - | 2 Ø 16 - | ||||||||
4 Ø 18 - | 2Ø 12 - | ||||||||
4 Ø 20 - | 2 Ø 14 - | ||||||||
4 Ø 22 - | 2Ø 16 - | ||||||||
4 Ø 24 - | 2Ø 16 - | ||||||||
4 Ø 18 - | 2Ø 12 - | ||||||||
4 Ø 20 - | 2 Ø 12 - | ||||||||
: = 80; b=250; h= 600; 25 (.10); Eb= 2,4104; Rsfbt,ser = 1,9; Esfb=2,7×104 ( (1.27)...(1.30) (1); . 2 8); df= 0,8 l f= 80 (.10); Ef=2105; ᒺ mfv= 0,025; : 4Æ18- as= 10182 ms= 0,0068; 2Æ12-
As= 2262 ms= 0,0015; Es= 2×105; a = 50;
ho= h- a = 600 - 50= 550; a = 15; [ a crc]=0,1.
:
1. :
Ssfbc + afsfc + afsft + asSsc + asSst= [(h - x)Asfbt]/2.
:
af= Ef/Eb= 2105/2,4104= 8,33; as= Es/Eb= 2105/2,4104=8,33;
mfa= mfvk02= 0,0250,568= 0,0142 ( kan=1), k02=0,568 ( 5 b/ l f= 600/80= 7,5 h/ l f= 250/80= 3,13).
Ssfbc=b0,5 x =12, 5x 2;
afSfc=afmfab0,5 x =0,0142250, 5x 2=1,48 x 2.
afSft=afmfab(h- x)0,5(h- x)=8,330,014225(60- x)0,5(60- x)=
= 1,48 x 2 - 177,5 x + 5323;
asSsc= 8,332,26(x - a) = 18,8 x - 28,2;
asSst= 8,3310,18(ho - x)= 8,3310,18(55 - x)= 4664 - 84,8 x;
Asfbt= b(h - x) = 25(60 - x)= 1500 - 25 x;
ϳ :
Ssfbc + afsfc + afsft + asSsc + asSst= [(h - x)Asfbt]/2
ϳ :
3, 2x 2 + 1256,5 x - 35041 = 0,
x =26,1 = 261.
2. . :
Isfbc= bx 3/12 + b x (0,5 x)2= 250(261)3/12 + 250261(0,5261)2=
= 1481620000 4;
Isfbt= b(h - x)3/12 + b(h - x)[(h - x)/2]2= 250(600 - 261)3/12 +
+ 250(600 - 261)[(600 - 261)/2]2= 3246520000 4;
afIfc= afmfaIsfbc= 8,330,01421481620000= 175250000 4;
afIft= afmfaIsfbt= 8,330,01423246520000= 113930000 4;
asIst= asAs(ho - x)2= 8,331018(550 - 261)2= 708250000 4;
asIst=asAs (x - a)2=8,33226(261-15)2=1139300004;
h - x = 600 - 261= 339;
Ssfbt= b(h - x)[(h - x)/2]= 250(600 - 261)[(600 - 261)/2]2= 14365000 3.
:
Wp l =[2(Isfbc+afIfc+afIft+asIsc+asIst)]/(h- x)+Ssfbt =
= [2(1481620000 + 175250000 + 384020000 + 113930000 + 708250000)]/339 + 14365000= 31256000 3.
3. , , , :
Mcrc= Rsfbt,serWp l + Mrp= 1,9106 3125610-6= 59386 60.
4. : Mr£ Mcrc
Mr= M= 80 > Mcrc= 60 - , .
5. m:
m = 1/{[40df(mfa + 5ms)/mfaa] + 1}=
=1/{[400,82(0,0142 + 50,0068)/0,0142250600] + 1}= 0,999.
6. , :
hf1= 0,5/(0,3 + m)= 0,5/(0,3 + 0,999)= 0,387.
7. :
hred = (hf2mfa + hsms)/(mfa + ms) =
= (1×0,0142 + 1×0,0068)/(0,0142 + 0,0068) = 1.
8. : mred = mfa + ms = 0,0142 + 0,0068 = 0,021>0,02, , mred = 0,02.
9. :
dred = ( mfa + ms)/(dfmfa + dsms) =
= (0,82 0,0142 + 1820,0068)/(0,80,0142 + 180,0068) = 16,5.
10. . :
ab= Eb/Ef = 2,4104/2105 = 0,12; as = as = Es/Ef= 2105/2105 = 1.
11. (. . 5,) :
bf1 = b(mfa+asms+ab)=250(0,0142+10,0015 + 0,12) = 33,9.
12. :
bf2 = b(mfa + asms)= 250(0,0142 + 10,0068) = 5,3 .
13. x =261:
Af,red = 33,9261 +0,53(600 - 261) = 10650 2.
14. :
Sf,red = 33,9261(600-0,5261)+5,3(600-261)[(600-261)/2] = 4459002.
15. ³ :
yc= Sf,red/Af,red = 445900/10650 = 419 .
16. :
If1=33,9(191)3/12+33,9191(0,5191)2+33,9703/12+ +33,970(0,5×70)2+5,3(339)3/12+5,3339(0,5339)2=1514400004
. 5. 10: ; , .
17. : W pl 1=If1/(1,3yc)= 151440000/(1,3×419)= 278000 3.
18. :
sf = [M - P(eop + r)]/W pl 1, =0 ( ):
sf= M/W pl 1= 80 000/(27810-6)= 288106= 288 .
19. 䳿 :
crc = j l hf1hred(sf/f)20(3,5-100mred) =
= 1,750,3871(288/200000)20(3,5 - 100×0,02) =
= 0,08 < [ a crc]= 0,1 (..7) - , .
11. , 10.
11.
b, | h, | , | l, | . | M, kH* | Mser, kH* | |
25, | |||||||
20, | |||||||
25, | |||||||
30, | |||||||
15, | |||||||
20, | |||||||
30, | |||||||
25, | |||||||
15, | |||||||
30, |
:
Mser=60; 6 (.11); 10 Mcrc= 60; If1= 1514400004; as= as = af = 8,33.
:
1. :
- :
Ared = bh + afmfabh + asAs + as As =
= 250600 + 8,330,0142250600 + 8,331018 + 8,33226 = 178100 2;
- :
Sred= bh(0,5h) + afmfabh(0,5h) + asAs + asAs(h - )=
= 250600(0,5600) + 8,330,0142250600(0,5600) + 8,33101850 + 8,33226(600 - 15)= 51562000 3;
- : yc= Sred/Ared=51562000/178100= 290;
- , :
I1= 2503103/12 + 250310(0,5×310)2 + 2502903/12 + 250290(0,5290)2 + 8,330,0142250310(0,5310)2 + 8,330,0142250290(0,5290)2 + 8,331018(290 - 50)2 + +8,33226(310 - 15)2= 5575030000 4.
2. 䳿 :
Bf1= 0,85EbI1= 0,852,4101055750310-8= 11,41072.
3. bf3:
- 䳿 : Bf3= 0,9EfIf1/1,30,9210111514410-8= 2,71072;
- 䳿 :
Bf3= 0,5EfIf1/1,3= 0,5210111514410-8= 1,51072.
4. 䳿 :
r5= jb2Mcrc/Bf1 + (M - Mcrc)/Bf3= =1,260103/11,4107+(80103-60103)/2,7107=13,710-4(1/).
5. 䳿 :
r6= Mser/Bf3 = 60103/2,7107= 22,210-4 (1/).
6. 䳿 :
r7= Mser/ =60103/1,2107=5010-4 (1/),
: =0,8bf3= 0,81,5107= 1,21072.
7. :
rtot= r5 - r6 + r7 = (13,7 - 22,2 + 50)10-4= 41,510-4 (1/).
9. m = 5/48 (. 10).
10. ³ l /h =600/60=10, : fm= r tot m l 2 = 41,510-4(5/48)×62= 15510-4 = 15,5.
fm=15,5 < [ftot]= 30 (. 9).
1.
Rfn . Rf,ser , | gf | - Rf , | f, | ||||||
- (-14-4-1093-85) | 1,20 | 1,00 |
&n
: 2017-01-28; !; : 517 | : : - , - . |
: 0.395 .