4.ROZWIĄZANIE KRATOWNICY OD OBCIĄŻENIA ZEWNĘTRZNEGO |
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WĘZEŁ |
Nr równania |
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1 |
1 |
SX=0 |
22,033+N14sin(a)=0 |
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2 |
SY=0 |
-N12-78,393-N14cos(a)=0 |
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2 |
3 |
SX=0 |
N23+22,743+N24cos(b)=0 |
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4 |
SY=0 |
N12+N24sin(b)+34,114=0 |
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3 |
5 |
SX=0 |
N36-N23+N35cos(b)-N43cos(b)=0 |
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6 |
SY=0 |
50+N43sin(b)+N35sin(b)=0 |
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4 |
7 |
SX=0 |
N45-N24cos(b)+N43cos(b)-N14sin(a)=0 |
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8 |
SY=0 |
-N24sin(b)-N43sin(b)+N14cos(a)=0 |
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5 |
9 |
SX=0 |
-N45-N35cos(b)+N56cos(b)=0 |
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10 |
SY=0 |
-N35sin(b)-N56sin(b)=0 |
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6 |
11 |
SX=0 |
-N23+N36-N43cos(b)+N35cos(b)=0 |
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12 |
SY=0 |
N43sin(b)+N35sin(b)=0 |
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7 |
13 |
SX=0 |
-N67-N78cos(b)+N79cos(b)=0 |
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14 |
SY=0 |
N78sin(b)+N79sin(b)=0 |
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8 |
15 |
SX=0 |
N89+N78cos(b)-N68cos(b)=0 |
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16 |
SY=0 |
-N78sin(b)-N68sin(b)+25=0 |
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9 |
17 |
SX=0 |
-N89-N79cos(b)-44,776=0 |
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18 |
SY=0 |
-N79sin(b)-30,721=0 |
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5. ZAPROJEKTOWANIE PRZEKROJÓW POPRZECZNYCH PRĘTÓW |
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KRATOWNICY |
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pręty ściskane |
pręty rozciągane |
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50x50x4 |
30x30x4 |
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A-=3,89*10-4m2 |
A+=2,27*10-4m2 |
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EA-=79745kN |
EA+=35670kN |
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6. ROZWIĄZANIE KRATOWNICY OD STANÓW WIRTUALNYCH |
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7. OBLICZENIE PRZEMIESZCZEŃ |
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Pionowe przemieszczenie węzła 5 |
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-od obciążenia zewnętrznego |
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PRĘT ij |
L [m] |
EA [kN] |
NP [kN] |
N1 [-] |
NP*N1*L/EA |
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12 |
7 |
79745 |
-34.327 |
0.364 |
-0.000069 |
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14 |
4.472 |
79745 |
-49.267 |
-1.220 |
0.000810 |
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24 |
3.605 |
35670 |
0.256 |
-0.437 |
0.000098 |
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23 |
4 |
79745 |
-22.885 |
0.242 |
-0.000019 |
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43 |
3.605 |
79745 |
-53.217 |
-0.874 |
0.000628 |
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45 |
4 |
35670 |
7.628 |
-0.303 |
0.000047 |
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35 |
3.605 |
79745 |
-6.876 |
0.874 |
-0.000030 |
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36 |
4 |
79745 |
-48.590 |
-0.727 |
0.000493 |
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56 |
3.605 |
35670 |
6.876 |
0.328 |
0.000164 |
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67 |
4 |
79745 |
-40.962 |
-0.364 |
0.000237 |
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68 |
3.605 |
79745 |
-6.876 |
-0.328 |
0.000073 |
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78 |
3.605 |
35670 |
36.922 |
0.328 |
0.000441 |
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79 |
3.605 |
79745 |
-36.922 |
-0.328 |
0.000197 |
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89 |
4 |
79745 |
-24.295 |
-0.364 |
0.000161 |
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suma: |
0.003232 |
[m] |
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-od obciążenia temperaturą |
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PRĘT ij |
L [m] |
a [1/oC] |
DT [oC] |
N1 [-] |
N1ij*aij*DTij*Lij |
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23 |
4 |
1.2E-05 |
30 |
0.242 |
0.00034848 |
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36 |
4 |
1.2E-05 |
25 |
-0.727 |
-0.0008724 |
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67 |
4 |
1.2E-05 |
25 |
-0.364 |
-0.0004368 |
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suma: |
-0.00096072 |
[m] |
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Obrót pręta 43 |
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-od obciążenia zewnętrznego |
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PRĘT ij |
L [m] |
EA [kN] |
NP [kN] |
N2 [1/m] |
NP*N2*L/EA |
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12 |
7 |
79745 |
-34.327 |
0.819 |
-0.000265 |
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14 |
4.472 |
79745 |
-49.267 |
-0.733 |
0.000509 |
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24 |
3.605 |
35670 |
0.256 |
-0.985 |
0.000094 |
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23 |
4 |
79745 |
-22.885 |
0.546 |
-0.000107 |
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43 |
3.605 |
79745 |
-53.217 |
-0.470 |
0.000359 |
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45 |
4 |
35670 |
7.628 |
0.219 |
0.000159 |
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35 |
3.605 |
79745 |
-6.876 |
-0.197 |
0.000062 |
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36 |
4 |
79745 |
-48.590 |
-0.437 |
0.000316 |
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56 |
3.605 |
35670 |
6.876 |
0.197 |
0.000139 |
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67 |
4 |
79745 |
-40.962 |
-0.219 |
0.000163 |
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68 |
3.605 |
79745 |
-6.876 |
-0.197 |
0.000062 |
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78 |
3.605 |
35670 |
36.922 |
0.197 |
0.000305 |
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79 |
3.605 |
79745 |
-36.922 |
-0.197 |
0.000136 |
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89 |
4 |
79745 |
-24.295 |
-0.219 |
0.000117 |
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suma: |
0.002050 |
[rad] |
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-od obciążenia temperaturą |
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PRĘT ij |
L [m] |
a [1/oC] |
DT [oC] |
N2 [1/m] |
N2ij*aij*DTij*Lij |
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23 |
4 |
1.2E-05 |
30 |
0.546 |
0.00078624 |
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36 |
4 |
1.2E-05 |
25 |
-0.437 |
-0.0005244 |
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67 |
4 |
1.2E-05 |
25 |
-0.219 |
-0.0002628 |
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suma: |
-0.00000096 |
[rad] |
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