Lp. |
Wartość siły F(kN) |
Odczyty z czujników |
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Rysy |
Uwagi |
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1 |
2 |
3 |
4 |
5 |
6 |
7 |
moment odpowiadający |
1 |
2 |
3 |
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4 |
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5 |
6 |
7 |
8 |
9 |
10 |
średnia szerokość rys |
średni rozstaw rys (wg. zdjęć) doświadczalny (cm) |
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1 |
0.00 |
4.70 |
3.81 |
3.05 |
0.82 |
5.91 |
2.89 |
3.55 |
0.00 |
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2 |
1.90 |
4.70 |
3.79 |
3.20 |
0.97 |
6.05 |
2.88 |
3.55 |
1.14 |
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3 |
3.70 |
4.70 |
3.77 |
3.43 |
1.18 |
6.28 |
2.85 |
3.55 |
2.22 |
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4 |
5.80 |
4.70 |
3.74 |
3.76 |
1.53 |
6.61 |
2.81 |
3.55 |
3.48 |
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5 |
7.90 |
4.73 |
3.69 |
4.25 |
2.05 |
7.11 |
2.76 |
3.57 |
4.74 |
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6 |
10.50 |
4.75 |
3.65 |
4.77 |
2.59 |
7.63 |
2.72 |
3.59 |
6.30 |
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6' |
9.90 |
4.76 |
3.64 |
4.80 |
2.61 |
7.66 |
2.71 |
3.60 |
5.94 |
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7 |
12.60 |
4.79 |
3.60 |
5.33 |
3.17 |
8.19 |
2.67 |
3.62 |
7.56 |
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7' |
11.80 |
4.79 |
3.59 |
5.36 |
3.20 |
8.21 |
2.66 |
3.63 |
7.08 |
0.04 |
0.03 |
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zdjęcie 7099 |
0.04 |
19.75 |
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8 |
17.60 |
4.86 |
3.49 |
6.51 |
4.39 |
9.36 |
2.55 |
3.68 |
10.56 |
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8' |
16.20 |
4.87 |
3.49 |
6.52 |
4.40 |
9.34 |
2.55 |
3.69 |
9.72 |
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9 |
21.80 |
4.94 |
3.36 |
7.83 |
5.76 |
10.69 |
2.42 |
3.76 |
13.08 |
0.06 |
0.07 |
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0.02 |
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0.06 |
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0.09 |
|
zdjęcie 7101-7103 |
0.06 |
11.70 |
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9' |
20.60 |
4.94 |
3.36 |
7.86 |
5.78 |
10.72 |
2.41 |
3.77 |
12.36 |
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10 |
31.00 |
5.09 |
3.15 |
10.24 |
8.28 |
13.10 |
2.20 |
3.90 |
18.60 |
0.09 |
0.10 |
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0.08 |
0.08 |
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zdjęcie 7104-7106 |
0.09 |
8.20 |
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10' |
29.50 |
5.10 |
3.14 |
10.28 |
8.31 |
13.15 |
2.19 |
3.90 |
17.70 |
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11 |
40.00 |
5.24 |
2.93 |
12.65 |
10.78 |
5.53 |
1.98 |
4.04 |
24.00 |
0.10 |
0.10 |
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0.12 |
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0.11 |
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11' |
38.00 |
5.25 |
2.92 |
12.70 |
10.83 |
15.58 |
1.97 |
4.05 |
22.80 |
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12 |
48.50 |
5.39 |
2.74 |
14.88 |
13.11 |
17.78 |
1.78 |
4.19 |
29.10 |
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12' |
47.00 |
5.40 |
2.74 |
14.91 |
13.14 |
17.81 |
1.77 |
4.19 |
28.20 |
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13 |
23.40 |
5.14 |
3.12 |
10.57 |
8.58 |
13.45 |
2.15 |
3.92 |
14.04 |
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14 |
45.00 |
5.36 |
2.77 |
14.47 |
12.69 |
17.37 |
1.81 |
4.17 |
27.00 |
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15 |
40.70 |
5.39 |
2.77 |
14.58 |
12.70 |
17.48 |
1.80 |
4.19 |
24.42 |
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16 |
23.30 |
5.20 |
3.06 |
11.36 |
9.31 |
14.26 |
2.10 |
3.99 |
13.98 |
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17 |
35.00 |
5.31 |
2.87 |
13.44 |
11.49 |
16.34 |
1.90 |
4.11 |
21.00 |
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18 |
47.80 |
5.46 |
2.67 |
15.77 |
13.95 |
18.68 |
1.70 |
4.26 |
28.68 |
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19 |
22.50 |
5.19 |
3.08 |
11.20 |
9.14 |
14.10 |
2.11 |
3.98 |
13.50 |
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20 |
35.00 |
5.31 |
2.86 |
13.48 |
11.53 |
16.37 |
1.90 |
4.11 |
21.00 |
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21 |
47.90 |
5.46 |
2.67 |
15.82 |
14.00 |
18.73 |
1.70 |
4.26 |
28.74 |
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22 |
35.20 |
5.34 |
2.84 |
13.80 |
11.85 |
16.70 |
1.87 |
4.15 |
21.12 |
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23 |
21.90 |
5.19 |
3.08 |
11.12 |
9.07 |
14.03 |
2.11 |
3.97 |
13.14 |
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24 |
47.90 |
5.46 |
2.66 |
15.85 |
14.03 |
18.76 |
1.70 |
4.26 |
28.74 |
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25 |
21.80 |
5.19 |
3.08 |
11.11 |
9.05 |
14.01 |
2.11 |
3.97 |
13.08 |
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26 |
48.00 |
5.46 |
2.66 |
15.89 |
14.06 |
18.79 |
1.69 |
4.26 |
28.80 |
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ostatnia faza użytkowania |
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27 |
54.80 |
5.56 |
2.54 |
17.32 |
15.57 |
20.24 |
1.57 |
4.35 |
32.88 |
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27' |
54.10 |
5.56 |
2.54 |
17.33 |
15.58 |
20.26 |
1.57 |
4.35 |
32.46 |
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28 |
60.00 |
5.64 |
2.43 |
18.56 |
16.86 |
21.48 |
1.46 |
4.43 |
36.00 |
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28' |
58.40 |
5.65 |
2.43 |
18.60 |
16.90 |
21.53 |
1.46 |
4.44 |
35.04 |
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29 |
65.00 |
5.74 |
2.32 |
20.00 |
18.36 |
22.93 |
1.35 |
4.53 |
39.00 |
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29' |
63.30 |
5.74 |
2.31 |
20.03 |
18.40 |
22.96 |
1.35 |
4.53 |
37.98 |
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30 |
70.00 |
5.86 |
2.17 |
21.89 |
20.33 |
24.80 |
1.21 |
4.64 |
42.00 |
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tuż przed zniszczeniem zdjęcie 7113 |
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30' |
66.90 |
5.87 |
2.17 |
21.97 |
20.43 |
24.87 |
1.20 |
4.65 |
40.14 |
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31 |
73.00 |
6.04 |
1.97 |
24.74 |
23.37 |
27.64 |
1.02 |
4.84 |
43.80 |
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faza zniszczenia |
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75.00 |
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45.00 |
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zniszczenie belki |
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lp. |
0 |
1 |
2 |
3 |
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Wyniki obliczeń teoretycznego rozwarcia rys |
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Zestawienie rozwarcia rys doświadczalnego i obliczeń teoretycznych |
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L.P |
siła Kn |
Moment Msd |
moment rysujący Mcr |
szerokość rys faza 1 |
szerokość rys faza 2 |
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|
L.P |
Siła |
Moment Msd |
Rozwarcie rysy teoretycnze |
doświadczalne rozwarcie rys |
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|
siła kN |
0 |
11.5 |
20.6 |
29.4 |
|
ss (Mpa) |
wm (mm) |
wk (mm) |
w lim (mm) |
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moment odpowiadający kN |
0.00 |
6.90 |
12.36 |
17.64 |
|
1 |
0.00 |
0 |
3.65625 |
0.0000 |
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1 |
0.00 |
0 |
0.0000 |
brak pomiaru |
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odległość między rysami (cm) |
0 |
19.5 |
9.2 |
8.8 |
|
2 |
1.90 |
1.14 |
3.65625 |
0.0000 |
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2 |
1.90 |
1.14 |
0.0000 |
brak pomiaru |
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25 |
8.7 |
14.5 |
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3 |
3.70 |
2.22 |
3.65625 |
0.0000 |
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3 |
3.70 |
2.22 |
0.0000 |
brak pomiaru |
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25.3 |
4.4 |
9.9 |
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4 |
5.80 |
3.48 |
3.65625 |
0.0000 |
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4 |
5.80 |
3.48 |
0.0000 |
brak pomiaru |
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9.2 |
12.2 |
12.5 |
|
5 |
7.90 |
4.74 |
3.65625 |
|
0.059777053688337 |
0.000230 |
0.000391434808114 |
0.4 |
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5 |
7.90 |
4.74 |
0.000391434808114 |
brak pomiaru |
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25 |
9.2 |
|
6 |
10.50 |
6.3 |
3.65625 |
|
0.079450514395891 |
0.000306 |
0.000520261453822 |
0.4 |
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6 |
10.50 |
6.3 |
0.000520261453822 |
0.035 |
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19.5 |
8.7 |
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0.4 |
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19 |
4.4 |
|
7 |
12.60 |
7.56 |
3.65625 |
|
0.095340617275069 |
0.000367 |
0.000624313744587 |
0.4 |
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7 |
12.60 |
7.56 |
0.000624313744587 |
brak pomiaru |
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12.7 |
6.2 |
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0.4 |
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6 |
|
8 |
17.60 |
10.56 |
3.65625 |
|
0.133174195558826 |
0.000513 |
0.000872057294026 |
0.4 |
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8 |
17.60 |
10.56 |
0.000872057294026 |
brak pomiaru |
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16.5 |
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0.4 |
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5.5 |
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9 |
21.80 |
13.08 |
3.65625 |
|
0.164954401317182 |
0.000635 |
0.001080161875555 |
0.4 |
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9 |
21.80 |
13.08 |
0.001080161875555 |
0.06 |
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3 |
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0.4 |
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10.4 |
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10 |
31.00 |
18.6 |
3.65625 |
|
0.234568185359296 |
0.000904 |
0.001536010006523 |
0.4 |
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10 |
31.00 |
18.6 |
0.001536010006523 |
0.0875 |
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9.1 |
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0.4 |
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8.1 |
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11 |
40.00 |
24 |
3.65625 |
|
0.30266862627006 |
0.001166 |
0.001981948395514 |
0.4 |
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11 |
40.00 |
24 |
0.001981948395514 |
brak pomiaru |
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10.9 |
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0.4 |
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12.7 |
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12 |
48.50 |
29.1 |
3.65625 |
|
0.366985709352447 |
0.001414 |
0.002403112429561 |
0.4 |
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12 |
48.50 |
29.1 |
0.002403112429561 |
brak pomiaru |
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6.8 |
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21 |
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średni rozstaw rys (cm) |
|
19.75 |
13.8375 |
9.69473684210526 |
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rozwarcie rys (mm) |
0 |
0.04 |
0.06 |
0.09 |
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0.03 |
0.07 |
0.1 |
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0.02 |
0.08 |
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0.06 |
0.08 |
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0.09 |
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średnie rozwarcie rys (mm) |
0 |
0.035 |
0.06 |
0.0875 |
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moment rysujący |
|
Mcr=fctm*b*h^2/6 |
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|
365.625 |
kNcm |
3.65625 |
kNm |
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fctm= |
0.234 |
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Mpa |
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b= |
15 |
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h= |
25 |
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faza 2 |
|
r=As1/bd= |
0.01072 |
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As1= |
4.02 |
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cm2 |
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aet=Es/Ecm*(1+fh,to)= |
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7.83920986290016 |
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Es |
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|
227000 |
Mpa |
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Ecm |
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28957 |
Mpa |
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fh,to |
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0 |
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X II= d*[eraet(2+raet) - raet]= |
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7.42489492910563 |
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d= |
22.2 |
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cm |
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sS=Msd*(As1(d- X II/3)= |
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|
u góry w tabelce |
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B2= |
0.5 |
|
B1= |
1 |
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k1= |
0.8 |
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k2= |
0.5 |
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Act,eff= b* min { 2,5*a1; (h-X II)/3= |
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|
87.8755253544718 |
cm2 |
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2,5*a1= |
7 |
|
(h-X II)/3= |
5.85836835696479 |
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a1= |
2.8 |
cm |
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rr=As1/Act,eff= |
|
0.045746525938641 |
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srm=50+0,25*k1*k2*(f/rr)= |
|
|
1748.76667372083 |
mm |
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f= |
16 |
mm |
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wm= srm* ss/Es[ 1-B1*B2*(Mcr/Msd)^2]= |
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|
u gory w tabelce |
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wk=B*wm= |
|
w tabelce |
B= |
1.7 |
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w lim = 0,4 mm |
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