8/10/2019 Proiect tcn stabilitate
1/8
2' 1' 0 1 20 0.37 3.93 5.33 5.18 3.891 4.63 6.67 7.27 7.04 6.022 6.02 7.5 7.77 7.55 6.623 6.85 7.87 7.96 7.77 6.944 7.31 8 7.96 7.89 7.225 7.59 8 7.96 5.53 7.366 7.62 8 7.96 7.04 7.47 7.71 9 7.96 7.55 7.49
0 0 0 0 0DPD 0 0 0 0 0DPB 0 0 0 0 0
2' 4.10 4.10 16.81 16.81 68.92 68.921' 4.30 4.30 18.49 18.49 79.51 79.510 4.30 4.30 18.49 18.49 79.51 79.51
1 4.30 4.30 18.49 18.49 79.51 79.512 3.95 3.95 15.60 15.60 61.63 61.63
20.95 20.95 87.88 87.88 369.07 369.07
I 41.94 mII 0.00III 740.28IV 272.61V n0=1/2*II/I 0.00 mVI 6,415.75VII 6,415.75
VIII (BMT)0=VII/V 1.50 m
Elementele necesare traversarii traversalului Cebasevplutirea\cupla
linia p n!ii
Calculul BMT0
Cupla a i b i a i2 b
i2 a
i3 b
i3
Suma" m(a#$)
i
" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m4
8/10/2019 Proiect tcn stabilitate
2/8
2' 4.33 3.93 18.71 15.44 80.90 60.701' 4.40 4.35 19.36 18.92 85.18 82.310 4.40 4.38 19.36 19.14 85.18 83.741 4.40 4.30 19.36 18.49 85.18 79.512 4.16 3.88 17.31 15.02 71.99 58.19
21.69 20.83 94.09 87.01 408.45 364.44
I 42.52 mII 7.08III 772.89IV 276.35V n0=1/2*II/I 0.08 mVI 6,698.37VII 6,696.46VIII (BMT)10=VII/V 1.57 m
2' 4.31 3.77 18.58 14.18 80.06 53.401' 4.31 4.38 18.58 19.14 80.06 83.740 4.31 4.53 18.58 20.52 80.06 92.961 4.31 4.43 18.58 19.58 80.06 86.642 4.31 3.95 18.58 15.60 80.06 61.63
21.55 21.05 92.88 89.02 400.31 378.37
I 42.60 mII 3.86III 778.66IV 276.87V n0=1/2*II/I 0.05 mVI 6,748.38VII 6,747.81VIII (BMT)20=VII/V 1.58 m
Calculul BMT10
Cupla a i b i a i2 b
i2 a
i3 b
i3
Suma" m(a#$)
i" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m4
Calculul BMT20
Cupla a
i b
i a
i
2 bi
2 ai
3 bi
3
Suma" m(a#$)
i
" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m 4
8/10/2019 Proiect tcn stabilitate
3/8
2' 3.25 3.49 10.56 12.18 34.33 42.511' 3.25 4.11 10.56 16.89 34.33 69.430 3.25 4.35 10.56 18.92 34.33 82.311 3.25 4.35 10.56 18.88 34.33 82.032 3.56 3.90 12.64 15.21 44.93 59.32
16.56 20.20 54.89 82.08 182.24 335.60
I 36.75
mII %27.20III 517.84IV 238.88V n0=1/2*II/I %0.37 mVI 4,487.92VII 4,455.22VIII (BMT)30=VII/V 1.04 m
2' 2.81 2.89 7.90 8.32 22.19 24.011' 2.81 3.37 7.90 11.36 22.19 38.270 2.81 3.58 7.90 12.82 22.19 45.881 2.81 3.60 7.90 12.92 22.19 46.462 3.10 3.34 9.58 11.12 29.65 37.09
14.34 16.77 41.16 56.54 118.40 191.72
I 31.10 mII %15.38III 310.12IV 202.15V n0=1/2*II/I %0.25 mVI 2,687.72VII 2,675.36VIII (BMT)40=VII/V 0.63 m
Calculul BMT30
Cupla a i b i a i2 b
i2 a
i3 b
i3
Suma" m(a#$)
i" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m4
Calculul BMT40
Cupla a
i
bi
ai
2 bi
2 ai
3 bi
3
Suma" m(a#$)
i
" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m 4
8/10/2019 Proiect tcn stabilitate
4/8
2' 2.53 2.48 6.38 6.15 16.10 15.251' 2.53 2.86 6.38 8.15 16.10 23.270 2.53 2.91 6.38 8.44 16.10 24.521 2.53 2.91 6.38 8.44 16.10 24.522 2.78 2.84 7.70 8.04 21.37 22.79
12.88 13.98 33.20 39.22 85.76 110.34
I 26.86
mII %6.01III 196.10IV 174.56V n0=1/2*II/I %0.12 mVI 1,699.56VII 1,697.38VIII (BMT)50=VII/V 0.40 m
2' 2.32 2.26 5.38 5.09 12.49 11.471' 2.32 2.50 5.38 6.25 12.49 15.630 2.32 2.50 5.38 6.25 12.49 15.631 2.32 2.50 5.38 6.25 12.49 15.632 2.55 2.50 6.49 6.25 16.52 15.63
11.83 12.26 28.02 30.09 66.47 73.97
I 24.08 mII %2.07III 140.14IV 156.53V n0=1/2*II/I %0.04 mVI 1,217.13VII 1,216.84VIII (BMT)60=VII/V 0.28 m
Calculul BMT50
Cupla a i b i a i2 b
i2 a
i3 b
i3
Suma" m(a#$)
i" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m4
Calculul BMT 0
Cupla a
i
bi
ai
2 bi
2 ai
3 bi
3
Suma" m(a#$)
i
" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m 4
8/10/2019 Proiect tcn stabilitate
5/8
2' 2.18 2.12 4.75 4.49 10.36 9.531' 2.18 2.28 4.75 5.20 10.36 11.850 2.18 2.28 4.75 5.20 10.36 11.851 2.18 2.28 4.75 5.20 10.36 11.852 2.39 2.28 5.71 5.20 13.65 11.85
11.11 11.24 24.72 25.29 55.09 56.94
I 22.35
mII %0.57III 112.03IV 145.28V n0=1/2*II/I %0.01 mVI 970.93VII 970.91VIII (BMT)70=VII/V 0.23 m
2' 2.10 2.06 4.40 4.24 9.22 8.741' 2.10 2.17 4.40 4.69 9.22 10.150 2.10 2.17 4.40 4.69 9.22 10.151 2.10 2.17 4.40 4.69 9.22 10.152 2.29 2.17 5.26 4.69 12.07 10.15
10.68 10.72 22.85 22.99 48.96 49.33
I 21.40 mII %0.14III 98.29IV 138.11V n0=1/2*II/I 0.00 mVI 851.85VII 851.85VIII (BMT)80=VII/V 0.20 m
Calculul BMT!0
Cupla a i b i a i2 b
i2 a
i3 b
i3
Suma" m(a#$)
i" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m4
Calculul BMT"0
Cupla ai
bi
ai
2 bi
2 ai
3 bi
3
Suma" m(a#$)
i
" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m 4
8/10/2019 Proiect tcn stabilitate
6/8
2' 2.06 2.07 4.25 4.26 8.77 8.811' 2.06 2.13 4.25 4.53 8.77 9.630 2.06 2.13 4.25 4.53 8.77 9.631 2.06 2.13 4.25 4.53 8.77 9.632 2.25 2.13 5.06 4.53 11.39 9.63
10.50 10.58 22.08 22.37 46.49 47.32
I 21.08
mII %0.29III 93.81IV 136.99V n0=1/2*II/I %0.01 mVI 813.01VII 813.01VIII (BMT)90=VII/V 0.19 m
I II III0 1.50 %
10 1.57 1.5320 1.58 1.5730 1.04 1.3140 0.63 0.8350 0.40 0.510 0.28 0.34!0 0.23 0.26"0 0.20 0.21#0 0.19 0.19
Calculul BMT#0
Cupla a i b i a i2 b
i2 a
i3 b
i3
Suma" m(a#$)
i" m(a 2%$2)i m 2
" m(a 3#$ 3)i m 3
&'0=lam$*I m 2
1 0,0=1/3* am$ *III m 4
l 0=Vl%l*V2 m4
$i BMT$i BMT$im
8/10/2019 Proiect tcn stabilitate
7/8
%& 10.95 & 1.30 0.09 ra(%elta& 42,990.58 )*& 7.12 )B+ 1.25 ,&5-"!
III.IV II.IVI II III IV V VI VII VIII I/ /0 0.00 1.00 1.50 1.50 0.00 0.00 0.00 0.00 0.00
10 0.17 0.98 1.57 1.54 3.04 0.27 0.27 0.27 0.0220 0.34 0.94 1.58 1.48 6.07 0.54 1.08 0.00 0.0930 0.50 0.87 1.04 0.90 8.45 0.52 2.15 0.74 0.1940 0.64 0.77 0.63 0.48 9.84 0.10 3.07 0.86 0.27
50 0.77 0.64 0.40 0.26 10.57 0.30 3.77 0.92 0.330 0.87 0.50 0.29 0.14 10.97 0.25 4.33 0.96 0.38!0 0.94 0.34 0.23 0.78 11.19 0.21 4.78 0.97 0.42"0 0.98 0.17 0.20 0.03 11.30 0.20 5.19 0.98 0.45#0 1.00 0.00 0.19 0.00 11.34 0.19 5.58 0.99 0.49
III.I/ II./I /I /II /III /IV /V /VI /VII /VIII0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10 0.26 0.00 0.27 %0.75 %0.75 %0.07 %32,418.24 %2,826.8720 0.50 0.03 0.53 %1.48 %2.99 %0.26 %63,560.46 %11,196.2130 0.64 0.09 0.73 %2.20 %6.67 %0.58 %94,736.83 %24,999.7440 0.66 0.17 0.83 %2.94 %11.82 %1.03 %126,605.79 %44,300.8150 0.59 0.25 0.84 %3.65 %18.42 %1.61 %157,046.52 %69,035.290 0.48 0.33 0.80 %4.28 %26.35 %2.30 %183,995.01 %98,774.12!0 0.33 0.39 0.73 %4.79 %35.42 %3.09 %205,990.68 %132,780.87"0 0.17 0.45 0.62 %5.17 %45.38 %3.96 %222,048.38 %170,105.87#0 0.00 0.49 0.19 %5.38 %55.93 %4.88 %231,496.68 %209,655.18
%$i 2&Calculul ls l( Ms M(
$i sin$i c s$i BMT$i Sum-Int-V SumInt-VII B$i&($i 2.VI )B $i+)B&($i 2.VIII
Calculul ls l( Ms M($i ls$i&/I6/II ls$i&/III+asin$i SumInt/IV l($i Ms$i M($i
8/10/2019 Proiect tcn stabilitate
8/8
0 0.00 0.0010 0.21 0.0220 0.42 0.0730 0.56 0.1640 0.58 0.2650 0.52 0.350 0.41 0.43
!0 0.26 0.49"0 0.10 0.52#0 %0.07 0.53
%ia7rama (e stabilitate$i ls$i l($i
0 10 20 30 40 50 60 70 80 90 100
%0.20
%0.10
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
Dia+ ama - !a$ili!a!
l i l- i
+ a-
m