Zadanie 5 |
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dane, które należy podać |
dane, które można sprawdzić w prog. |
dane, które należy zawrzeć w projekcie |
dane pomocnicze (dla arkusza) |
dane do skontrolowania |
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Rzędne wykresów sił wew. |
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11 |
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12 |
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13 |
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14 |
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Schemat 1 |
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Współrzędne punktów w układzie osi y1 z1
Współrzędne punktów |
Odcinki |
Pozostałe dane |
Belka |
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My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
7,33755060433122 |
0 |
1,55253055650397 |
0 |
7,33755060433122 |
0 |
1,55253055650397 |
y(1) |
20,00 |
cm |
z(1) |
0,00 |
cm |
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Numer punktu rozpoczynającego odcinek
Pp |
Numer punktu kończącego odcinek
Pk |
Wpisz L, gdy odcinek ma pyć zliczony przy liczeni momentów statycznych odciętej części przekroju
Zliczanie s |
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d |
10,00 |
- |
L |
5,00 |
m |
Py1 |
0,00 |
kN |
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0,05 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,74266826852867 |
6,6037955438981 |
-0,368726007169692 |
1,39727750085357 |
1,74266826852867 |
6,6037955438981 |
-0,368726007169692 |
1,39727750085357 |
y(2) |
0,00 |
cm |
z(2) |
0,00 |
cm |
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1 |
1 |
2 |
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B |
2 |
- |
b |
0,35 |
- |
Pz1 |
0,00 |
kN |
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0,1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
3,30189777194905 |
5,87004048346498 |
-0,698638750426786 |
1,24202444520317 |
3,30189777194905 |
5,87004048346498 |
-0,698638750426786 |
1,24202444520317 |
y(3) |
0,00 |
cm |
z(3) |
30,00 |
cm |
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2 |
3 |
2 |
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P0 |
3 |
- |
g |
1,00 |
- |
qy1 |
0,00 |
kN/m |
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0,15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
4,67768851026115 |
5,13628542303186 |
-0,989738229771279 |
1,08677138955278 |
4,67768851026115 |
5,13628542303186 |
-0,989738229771279 |
1,08677138955278 |
y(4) |
13,00 |
cm |
z(4) |
30,00 |
cm |
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3 |
4 |
3 |
L |
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i(obc) |
4 |
- |
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qz1 |
3,00 |
kN/m |
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0,2 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
5,87004048346498 |
4,40253036259873 |
-1,24202444520317 |
0,931518333902381 |
5,87004048346498 |
4,40253036259873 |
-1,24202444520317 |
0,931518333902381 |
y(5) |
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cm |
z(5) |
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cm |
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4 |
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Codc |
2 |
0,64 |
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0,25 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
6,87895369156052 |
3,66877530216561 |
-1,45549739672247 |
0,776265278251984 |
6,87895369156052 |
3,66877530216561 |
-1,45549739672247 |
0,776265278251984 |
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x |
0,30 |
- |
Belka |
1-belka swobodnie podparta
2-wspornik
1 |
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0,3 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
7,70442813454778 |
2,93502024173249 |
-1,63015708432917 |
0,621012222601587 |
7,70442813454778 |
2,93502024173249 |
-1,63015708432917 |
0,621012222601587 |
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Kolejność poruszania się przy liczeniu współrzędnej wycinkowej (poz. 1 - punkt początkowy)
Kolejność liczenia w |
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0,35 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
8,34646381242676 |
2,20126518129937 |
-1,76600350802326 |
0,46575916695119 |
8,34646381242676 |
2,20126518129937 |
-1,76600350802326 |
0,46575916695119 |
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Pierwszy kierunek
I |
Drugi kierunek
II |
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G/E |
0,4 |
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0,4 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
8,80506072519747 |
1,46751012086624 |
-1,86303666780476 |
0,310506111300793 |
8,80506072519747 |
1,46751012086624 |
-1,86303666780476 |
0,310506111300793 |
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3 |
3 |
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0,45 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
9,08021887285989 |
0,733755060433122 |
-1,92125656367366 |
0,155253055650397 |
9,08021887285989 |
0,733755060433122 |
-1,92125656367366 |
0,155253055650397 |
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2 |
4 |
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0,5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
9,17193825541403 |
0 |
-1,94066319562996 |
0 |
9,17193825541403 |
0 |
-1,94066319562996 |
0 |
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1 |
5 |
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0,55 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
9,08021887285989 |
-0,733755060433122 |
-1,92125656367366 |
-0,155253055650397 |
9,08021887285989 |
-0,733755060433122 |
-1,92125656367366 |
-0,155253055650397 |
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0,6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
8,80506072519747 |
-1,46751012086624 |
-1,86303666780476 |
-0,310506111300793 |
8,80506072519747 |
-1,46751012086624 |
-1,86303666780476 |
-0,310506111300793 |
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0,65 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
8,34646381242676 |
-2,20126518129937 |
-1,76600350802326 |
-0,46575916695119 |
8,34646381242676 |
-2,20126518129937 |
-1,76600350802326 |
-0,46575916695119 |
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0,7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
7,70442813454778 |
-2,93502024173249 |
-1,63015708432917 |
-0,621012222601587 |
7,70442813454778 |
-2,93502024173249 |
-1,63015708432917 |
-0,621012222601587 |
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0,75 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
6,87895369156052 |
-3,66877530216561 |
-1,45549739672247 |
-0,776265278251984 |
6,87895369156052 |
-3,66877530216561 |
-1,45549739672247 |
-0,776265278251984 |
Długości odcinków |
Grubości odcinków |
Pole przekroju |
Pola pow. odcinków |
Orientacja odc. |
Środki ciężkości odcinków |
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0,8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
5,87004048346498 |
-4,40253036259873 |
-1,24202444520317 |
-0,931518333902381 |
5,87004048346498 |
-4,40253036259873 |
-1,24202444520317 |
-0,931518333902381 |
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Ppy |
Ppz |
Pky |
Pkz |
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0,85 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
4,67768851026115 |
-5,13628542303186 |
-0,989738229771279 |
-1,08677138955278 |
4,67768851026115 |
-5,13628542303186 |
-0,989738229771279 |
-1,08677138955278 |
1 |
20,00 |
cm |
1 |
2,000 |
cm |
A= |
146,90 |
cm2 |
A1 |
40,00 |
cm2 |
1 |
pz |
- |
y1 |
10,00 |
cm |
z1 |
0,00 |
cm |
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1 |
20 |
0 |
0 |
0 |
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0,9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
3,30189777194905 |
-5,87004048346498 |
-0,698638750426786 |
-1,24202444520317 |
3,30189777194905 |
-5,87004048346498 |
-0,698638750426786 |
-1,24202444520317 |
2 |
30,00 |
cm |
2 |
3,000 |
cm |
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A2 |
90,00 |
cm2 |
2 |
pi |
- |
y2 |
0,00 |
cm |
z2 |
15,00 |
cm |
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2 |
0 |
30 |
0 |
0 |
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0,95 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1,74266826852867 |
-6,6037955438981 |
-0,368726007169692 |
-1,39727750085357 |
1,74266826852867 |
-6,6037955438981 |
-0,368726007169692 |
-1,39727750085357 |
3 |
13,00 |
cm |
3 |
1,300 |
cm |
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A3 |
16,90 |
cm2 |
3 |
pz |
- |
y3 |
6,50 |
cm |
z3 |
30,00 |
cm |
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3 |
13 |
30 |
0 |
30 |
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1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-7,33755060433122 |
0 |
-1,55253055650397 |
0 |
-7,33755060433122 |
0 |
-1,55253055650397 |
4 |
0,00 |
cm |
4 |
0,000 |
cm |
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A4 |
0,00 |
cm2 |
4 |
pz |
- |
y4 |
0,00 |
cm |
z4 |
0,00 |
cm |
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4 |
0 |
0 |
0 |
0 |
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21 |
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22 |
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23 |
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24 |
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Schemat 2 |
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Momenty statyczne |
Współrzędne środka ciężkości |
Współrzędne punktów w ukł y0z0 |
Współrzędne środków ciężk. w ukł. y0z0 |
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My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
My |
Tz |
Mz |
Ty |
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Ppy |
Ppz |
Pky |
Pkz |
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0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-36,6877530216561 |
14,6751012086624 |
7,76265278251984 |
3,10506111300794 |
-36,6877530216561 |
14,6751012086624 |
7,76265278251984 |
3,10506111300794 |
Sy1= |
1857,00 |
cm3 |
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yC= |
3,47 |
cm |
y(1) |
16,53 |
cm |
z(1) |
-12,64 |
cm |
y1 |
6,53 |
cm |
z1 |
-12,64 |
cm |
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1 |
16,5292716133424 |
-12,641252552757 |
-3,47072838665759 |
-12,641252552757 |
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0,05 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-33,1106971020446 |
13,9413461482293 |
7,00579413622415 |
2,94980805735754 |
-33,1106971020446 |
13,9413461482293 |
7,00579413622415 |
2,94980805735754 |
Sz1= |
509,85 |
cm3 |
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zC= |
12,64 |
cm |
y(2) |
-3,47 |
cm |
z(2) |
-12,64 |
cm |
y2 |
-3,47 |
cm |
z2 |
2,36 |
cm |
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2 |
-3,47072838665759 |
17,358747447243 |
-3,47072838665759 |
-12,641252552757 |
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0,1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-29,7170799475414 |
13,2075910877962 |
6,28774875384107 |
2,79455500170714 |
-29,7170799475414 |
13,2075910877962 |
6,28774875384107 |
2,79455500170714 |
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y(3) |
-3,47 |
cm |
z(3) |
17,36 |
cm |
y3 |
3,03 |
cm |
z3 |
17,36 |
cm |
|
3 |
9,52927161334241 |
17,358747447243 |
-3,47072838665759 |
17,358747447243 |
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0,15 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-26,5069015581465 |
12,4738360273631 |
5,60851663537058 |
2,63930194605674 |
-26,5069015581465 |
12,4738360273631 |
5,60851663537058 |
2,63930194605674 |
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y(4) |
9,53 |
cm |
z(4) |
17,36 |
cm |
y4 |
-3,47 |
cm |
z4 |
-12,64 |
cm |
|
4 |
-3,47072838665759 |
-12,641252552757 |
-3,47072838665759 |
-12,641252552757 |
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|
|
|
|
|
|
0,2 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-23,4801619338599 |
11,74008096693 |
4,9680977808127 |
2,48404889040635 |
-23,4801619338599 |
11,74008096693 |
4,9680977808127 |
2,48404889040635 |
|
|
|
|
|
|
|
|
|
y(5) |
-3,47 |
cm |
z(5) |
-12,64 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,25 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-20,6368610746816 |
11,0063259064968 |
4,36649219016741 |
2,32879583475595 |
-20,6368610746816 |
11,0063259064968 |
4,36649219016741 |
2,32879583475595 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,3 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-17,9769989806115 |
10,2725708460637 |
3,80369986343472 |
2,17354277910555 |
-17,9769989806115 |
10,2725708460637 |
3,80369986343472 |
2,17354277910555 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,35 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-15,5005756516497 |
9,53881578563059 |
3,27972080061463 |
2,01828972345516 |
-15,5005756516497 |
9,53881578563059 |
3,27972080061463 |
2,01828972345516 |
Momenty bezwładności |
|
|
Osie główne |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,4 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-13,2075910877962 |
8,80506072519747 |
2,79455500170714 |
1,86303666780476 |
-13,2075910877962 |
8,80506072519747 |
2,79455500170714 |
1,86303666780476 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,45 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-11,098045289051 |
8,07130566476434 |
2,34820246671225 |
1,70778361215436 |
-11,098045289051 |
8,07130566476434 |
2,34820246671225 |
1,70778361215436 |
Iy0= |
18735,19 |
cm4 |
|
|
tg(2j)= |
0,44301 |
- |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,5 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-9,17193825541403 |
7,33755060433122 |
1,94066319562996 |
1,55253055650397 |
-9,17193825541403 |
7,33755060433122 |
1,94066319562996 |
1,55253055650397 |
Iz0= |
4515,82 |
cm4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,55 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-7,42926998688536 |
6,6037955438981 |
1,57193718846027 |
1,39727750085357 |
-7,42926998688536 |
6,6037955438981 |
1,57193718846027 |
1,39727750085357 |
|
|
|
|
|
|
j= |
11,95 |
° |
|
|
|
|
|
|
|
|
|
|
|
|
|
fir |
0,208511708279928 |
|
|
|
|
|
|
|
|
|
|
|
0,6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-5,87004048346498 |
5,87004048346498 |
1,24202444520317 |
1,24202444520317 |
-5,87004048346498 |
5,87004048346498 |
1,24202444520317 |
1,24202444520317 |
Iy0z0= |
-3149,64 |
cm4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,65 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-4,49424974515287 |
5,13628542303185 |
0,95092496585868 |
1,08677138955278 |
-4,49424974515287 |
5,13628542303185 |
0,95092496585868 |
1,08677138955278 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Omega B |
|
|
|
|
|
|
0,7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-3,30189777194905 |
4,40253036259873 |
0,698638750426786 |
0,931518333902381 |
-3,30189777194905 |
4,40253036259873 |
0,698638750426786 |
0,931518333902381 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,75 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-2,29298456385351 |
3,66877530216561 |
0,48516579890749 |
0,776265278251984 |
-2,29298456385351 |
3,66877530216561 |
0,48516579890749 |
0,776265278251984 |
Współrzędne punktów w ukł yz |
Współrzędne wB |
Współrzędne środków ciężkości w ukł. yz |
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
|
0,8 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-1,46751012086624 |
2,93502024173249 |
0,310506111300793 |
0,621012222601587 |
-1,46751012086624 |
2,93502024173249 |
0,310506111300793 |
0,621012222601587 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
|
0,85 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-0,825474442987263 |
2,20126518129937 |
0,174659687606696 |
0,46575916695119 |
-0,825474442987263 |
2,20126518129937 |
0,174659687606696 |
0,46575916695119 |
y(1)= |
13,55 |
cm |
z(1)= |
-15,79 |
cm |
w1= |
0,00 |
cm2 |
y1 |
3,77 |
cm |
z1 |
-13,72 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
-390 |
18,9285432735233 |
0 |
26,659149452718 |
0 |
|
0,9 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-0,366877530216561 |
1,46751012086624 |
0,077626527825198 |
0,310506111300793 |
-0,366877530216561 |
1,46751012086624 |
0,077626527825198 |
0,310506111300793 |
y(2)= |
-6,01 |
cm |
z(2)= |
-11,65 |
cm |
w2= |
0,00 |
cm2 |
y2 |
-2,91 |
cm |
z2 |
3,03 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
-390 |
6,21012222601587 |
26,659149452718 |
29,3502024173249 |
18,9285432735233 |
|
0,95 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
-0,091719382554141 |
0,733755060433123 |
0,0194066319563 |
0,155253055650397 |
-0,091719382554141 |
0,733755060433123 |
0,0194066319563 |
0,155253055650397 |
y(3)= |
0,20 |
cm |
z(3)= |
17,70 |
cm |
w3= |
0,00 |
cm2 |
y3 |
6,56 |
cm |
z3 |
16,36 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
0 |
|
|
|
|
|
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
y(4)= |
12,92 |
cm |
z(4)= |
15,01 |
cm |
w4= |
-390,00 |
cm2 |
y4 |
-6,01 |
cm |
z4 |
-11,65 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
0 |
6,21012222601587 |
0 |
29,3502024173249 |
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
y(5)= |
-6,01 |
cm |
z(5)= |
-11,65 |
cm |
w5= |
-390,00 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
0 |
0 |
-4,14008148401058 |
0 |
19,5668016115499 |
|
|
11 |
|
|
12 |
|
|
21 |
|
|
22 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
19,5668016115499 |
0 |
-4,14008148401058 |
0 |
|
|
B |
Ms |
Mom |
B |
Ms |
Mom |
B |
Ms |
Mom |
B |
Ms |
Mom |
|
|
|
|
B |
Ms |
Mom |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
0 |
|
0 |
0 |
0 |
0 |
0 |
-9,12818357529122 |
-2,67981642470878 |
2,68061644847158 |
0 |
-4,7232 |
11,8821721629369 |
0 |
-23,616 |
|
|
|
|
0 |
-9,12818357529122 |
-2,67981642470878 |
|
Momenty bezwładności |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,05 |
0 |
-8,09215176090557E-05 |
0 |
-0,541829060270748 |
-8,90251983955914 |
-1,72468016044087 |
1,72555911860006 |
-1,68279456131115 |
-3,04033867302226 |
7,10692995757381 |
-7,2335367755975 |
-15,2016632244025 |
|
|
|
|
-0,541829060270748 |
-8,90251983955914 |
-1,72468016044087 |
|
Iy= |
19401,62 |
cm4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ppy |
Ppz |
Pky |
Pkz |
|
|
wBp |
wBk |
|
Iomy |
Iomz |
|
0,1 |
0 |
-0,000191379947759 |
0 |
-0,890499462578199 |
-8,33675895305023 |
-1,10964104694977 |
1,11077226507171 |
-2,76603840555478 |
-1,95688084743371 |
4,033138329229 |
-11,4693917384892 |
-9,78500826151081 |
|
|
|
|
-0,890499462578199 |
-8,33675895305023 |
-1,10964104694977 |
|
Iz= |
3849,39 |
cm4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
13,5544581406662 |
-15,7890706085938 |
-6,01234347088372 |
-11,6489891245832 |
|
1 |
0 |
0 |
|
0 |
0 |
|
0,15 |
0 |
-0,000367589872383 |
0 |
-1,11476703371557 |
-7,55218314241291 |
-0,713416857587086 |
0,715023405472771 |
-3,46334107812604 |
-1,25917322230127 |
2,05466299349437 |
-13,7756985414387 |
-6,29790145856133 |
|
|
|
|
-1,11476703371557 |
-7,55218314241291 |
-0,713416857587086 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
0,197778755132148 |
17,7012132927417 |
-6,01234347088372 |
-11,6489891245832 |
|
2 |
0 |
0 |
|
0 |
0 |
|
0,2 |
0 |
-0,000660491611403 |
0 |
-1,25885606738377 |
-6,62692557167493 |
-0,457874428325066 |
0,46027310811036 |
-3,91220671318853 |
-0,809629196273747 |
0,781359829738566 |
-14,8400948782862 |
-4,05270512171381 |
|
|
|
|
-1,25885606738377 |
-6,62692557167493 |
-0,457874428325066 |
|
Ks= |
332,85 |
cm4 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3 |
12,9161998026396 |
15,0101603281348 |
0,197778755132148 |
17,7012132927417 |
|
3 |
-390 |
0 |
|
-28594,1509289118 |
-52422,1050429889 |
|
0,25 |
0 |
-0,001146813692214 |
0 |
-1,35118010421065 |
-5,61137775926854 |
-0,292622240731458 |
0,296286058472393 |
-4,20114906944829 |
-0,519597549453393 |
-0,037859327833621 |
-15,1053207390953 |
-2,60667926090468 |
|
|
|
|
-1,35118010421065 |
-5,61137775926854 |
-0,292622240731458 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
-6,01234347088372 |
-11,6489891245832 |
-6,01234347088372 |
-11,6489891245832 |
|
4 |
-390 |
-390 |
|
0 |
0 |
|
0,3 |
0 |
-0,00194539509113 |
0 |
-1,40994492089223 |
-4,53812649980605 |
-0,185073500193946 |
0,190724939979593 |
-4,38714594160412 |
-0,331880896747953 |
-0,564539853108133 |
-14,8565242263902 |
-1,67467577360979 |
|
|
|
|
-1,40994492089223 |
-4,53812649980605 |
-0,185073500193946 |
|
IwBy= |
-28594,15 |
cm5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,35 |
0 |
-0,003242060777221 |
0 |
-1,44673860615228 |
-3,42837979524947 |
-0,114020204750534 |
0,122773698469759 |
-4,5068748584666 |
-0,209456650581316 |
-0,902540160024 |
-14,2774911445266 |
-1,07290885547336 |
|
|
|
|
-1,44673860615228 |
-3,42837979524947 |
-0,114020204750534 |
|
IwBz= |
-52422,11 |
cm5 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Iy |
19401,6175429437 |
1,94016175429437 |
|
|
|
|
|
|
|
|
|
|
0,4 |
0 |
-0,005328046418086 |
0 |
-1,46881666614814 |
-2,29614895267349 |
-0,065451047326508 |
0,079032734318959 |
-4,58394568372206 |
-0,128176330458976 |
-1,11851199304983 |
-13,4868865184665 |
-0,682713481533528 |
|
|
|
|
-1,46881666614814 |
-2,29614895267349 |
-0,065451047326508 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Iz |
3849,3922653159 |
0,38493922653159 |
|
|
|
|
|
|
|
|
|
|
0,45 |
0 |
-0,008659661279919 |
0 |
-1,48053276915496 |
-1,15101153459345 |
-0,029788465406553 |
0,050876577355313 |
-4,63355634721199 |
-0,072003564263234 |
-1,25504377335779 |
-12,5616546640122 |
-0,427145335987818 |
|
|
|
|
-1,48053276915496 |
-1,15101153459345 |
-0,029788465406553 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,5 |
0 |
-0,013951094790734 |
0 |
-1,48419726426947 |
0 |
0 |
0,032752993037133 |
-4,66548979054381 |
-0,029851741699297 |
-1,33905879405362 |
-11,5521921707014 |
-0,255807829298608 |
|
|
|
|
-1,48419726426947 |
0 |
0 |
|
Główny biegun wycinkowy |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,55 |
0 |
-0,022318845176598 |
0 |
-1,48053276915496 |
1,15101153459345 |
0,029788465406553 |
0,0210881132758 |
-4,68604310771835 |
0,006602277425354 |
-1,38712434095443 |
-10,4922858235756 |
-0,134914176424369 |
|
|
|
|
-1,48053276915496 |
1,15101153459345 |
0,029788465406553 |
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0,6 |
0 |
-0,035506476509815 |
0 |
-1,46881666614814 |
2,29614895267349 |
0,065451047326508 |
0,013581689908217 |
-4,69926929636984 |
0,044559525004589 |
-1,40871866743523 |
-9,4057751656601 |
-0,040624834339906 |
|
|
|
|
-1,46881666614814 |
2,29614895267349 |
0,065451047326508 |
|
yA= |
-8,71 |
cm |
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
0,65 |
0 |
-0,05623431335257 |
0 |
-1,44673860615228 |
3,42837979524947 |
0,114020204750534 |
0,008753498798688 |
-4,70777648592377 |
0,091519024429297 |
-1,40810005226416 |
-8,31125352070668 |
0,045653520706676 |
|
|
|
|
-1,44673860615228 |
3,42837979524947 |
0,114020204750534 |
|
|
|
|
|
|
|
|
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|
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|
|
|
|
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|
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|
|
|
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|
|
|
|
|
|
|
|
0,7 |
0 |
-0,088743399819163 |
0 |
-1,40994492089223 |
4,53812649980605 |
0,185073500193946 |
0,005651448030451 |
-4,71324224593464 |
0,156756664758864 |
-1,38514650803629 |
-7,22573449123606 |
0,140934491236062 |
|
|
|
|
-1,40994492089223 |
4,53812649980605 |
0,185073500193946 |
|
zA= |
-4,22 |
cm |
|
|
|
|
|
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|
|
|
|
|
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|
|
|
|
|
0,75 |
0 |
-0,139641461560446 |
0 |
-1,35118010421065 |
5,61137775926854 |
0,292622240731458 |
0,003663830776905 |
-4,71674439329231 |
0,253154475720299 |
-1,33533172594888 |
-6,16800694450815 |
0,264006944508147 |
|
|
|
|
-1,35118010421065 |
5,61137775926854 |
0,292622240731458 |
|
|
|
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|
Omega A |
|
|
|
|
|
|
0,8 |
0 |
-0,219218295984623 |
0 |
-1,25885606738377 |
6,62692557167493 |
0,457874428325066 |
0,002398700183052 |
-4,71897353160275 |
0,39974102714454 |
-1,24883251336419 |
-5,1623400706354 |
0,439140070635402 |
|
|
|
|
-1,25885606738377 |
6,62692557167493 |
0,457874428325066 |
|
|
|
|
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|
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|
|
|
|
0,85 |
0 |
-0,343490756260278 |
0 |
-1,11476703371557 |
7,55218314241291 |
0,713416857587086 |
0,001606579667551 |
-4,72036923430425 |
0,625443906265603 |
-1,10859171590701 |
-4,24326912929594 |
0,700869129295944 |
|
|
|
|
-1,11476703371557 |
7,55218314241291 |
0,713416857587086 |
|
Główna współrzędna wycinkowa |
|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
|
|
|
0,9 |
0 |
-0,537381586931941 |
0 |
-0,890499462578199 |
8,33675895305023 |
1,10964104694977 |
0,001131267555118 |
-4,72120672605759 |
0,974794241308172 |
-0,88695464331543 |
-3,46240560716867 |
1,10080560716867 |
|
|
|
|
-0,890499462578199 |
8,33675895305023 |
1,10964104694977 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
2,70194507890682 |
-7,42822475811393 |
-7,42822475811393 |
2,70194507890682 |
|
0,95 |
0 |
-0,839660241352286 |
0 |
-0,541829060270748 |
8,90251983955914 |
1,72468016044087 |
0,000879034991627 |
-4,72165115548894 |
1,51670817237721 |
-0,540215721290019 |
-2,89861471053127 |
1,71781471053127 |
|
|
|
|
-0,541829060270748 |
8,90251983955914 |
1,72468016044087 |
|
wA(1)= |
8,73 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
2,70194507890682 |
-7,42822475811393 |
-7,42822475811393 |
2,70194507890682 |
|
1 |
0 |
0 |
4,7232 |
0 |
9,12818357529122 |
2,67981642470878 |
0 |
-4,72179016156281 |
4,72179016156281 |
0 |
-2,67356713686738 |
2,67356713686738 |
|
|
|
|
0 |
9,12818357529122 |
2,67981642470878 |
|
wA(2)= |
-125,43 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
-515,432818656615 |
21,6304883524301 |
-7,42822475811393 |
19,2309246946041 |
2,70194507890682 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
wA(3)= |
0,00 |
cm2 |
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
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|
|
|
|
|
|
4 |
-302,795787205585 |
8,91206730492269 |
19,2309246946041 |
21,921977659211 |
21,6304883524301 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
wA(4)= |
-302,80 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
3 |
0 |
|
|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
wA(5)= |
-515,43 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
-125,432818656615 |
8,91206730492269 |
-7,42822475811393 |
21,921977659211 |
2,70194507890682 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
Przesunięcie |
|
|
|
|
|
|
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|
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|
|
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|
|
|
|
|
|
|
|
1 |
8,72750871940826 |
2,70194507890682 |
-11,5683062421245 |
-7,42822475811393 |
22,2687466904567 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
SwA= |
-10537,21 |
cm4 |
|
-71,73 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
0 |
0 |
22,2687466904567 |
-7,42822475811393 |
-11,5683062421245 |
2,70194507890682 |
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
0 |
0 |
2,70194507890682 |
-7,42822475811393 |
-7,42822475811393 |
2,70194507890682 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
w(1)= |
80,46 |
cm2 |
|
|
|
|
|
|
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|
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|
|
|
|
|
|
w(2)= |
-53,70 |
cm2 |
|
|
|
|
|
|
|
|
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|
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|
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|
|
|
wBp |
wBk |
|
|
|
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|
|
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|
|
|
|
|
|
w(3)= |
71,73 |
cm2 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
8,72750871940826 |
-125,432818656615 |
|
|
|
|
|
|
|
|
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|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
w(4)= |
-231,07 |
cm2 |
|
|
|
|
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|
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|
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|
|
|
|
2 |
0 |
-125,432818656615 |
|
przesunięcie omegi |
|
|
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|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
w(5)= |
-443,70 |
cm2 |
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
3 |
-302,795787205585 |
0 |
|
-71,7304795110891 |
|
|
|
|
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|
|
4 |
-515,432818656615 |
-515,432818656615 |
|
|
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|
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|
|
|
Główny wycinkowy moment bezwładności |
|
|
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|
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|
|
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|
|
|
|
|
wBp |
wBk |
|
do Iom |
|
|
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|
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|
|
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|
|
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|
|
|
|
|
|
|
|
1 |
80,4579882304973 |
-53,7023391455256 |
|
201465,877155161 |
|
|
|
|
|
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|
|
|
|
|
|
Iw= |
428854,55 |
cm6 |
|
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|
|
2 |
71,7304795110891 |
-53,7023391455256 |
|
375939,754453453 |
|
|
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|
|
3 |
-231,065307694496 |
71,7304795110891 |
|
709158,016177015 |
|
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|
4 |
-443,702339145526 |
-443,702339145526 |
|
0 |
|
|
|
|
|
|
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|
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|
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|
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|
|
|
Współczynnik giętno-skrętny |
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|
|
|
|
a= |
0,017620 |
1/cm |
= |
1,7620 |
1/m |
|
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|
Momenty statyczne odciętej części przekroju |
|
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|
Sy |
Sz |
Som |
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|
|
1 |
-548,761194663539 |
150,84229339565 |
535,112981699434 |
0 |
|
|
|
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|
|
y(c)= |
-1,67 |
cm |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
272,350087567133 |
-261,655412208821 |
811,266316450355 |
0 |
|
|
|
|
|
|
|
|
|
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z(c)= |
8,90 |
cm |
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3 |
276,411107096406 |
110,813118813171 |
-1346,37929814979 |
L |
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w(c)= |
34,10 |
cm2 |
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4 |
0 |
0 |
0 |
0 |
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Sy(c)= |
635,48 |
cm3 |
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Sy- |
Sz- |
Som- |
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Sz(c)= |
91,00 |
cm3 |
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c |
359,06443911386 |
-19,8109686267963 |
1428,72003124012 |
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Sw(c)= |
82,34 |
cm4 |
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|
Siły wewnętrzne |
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|
X |
0,35 |
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|
qy= |
24,350 |
kN/m |
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qz= |
9,110 |
kN/m |
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|
11 |
12 |
13 |
14 |
21 |
22 |
23 |
24 |
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|
Początek |
|
|
Środek |
|
|
Koniec |
|
|
|
|
|
My |
0 |
0 |
0 |
8,34646381242676 |
0 |
0 |
0 |
-15,5005756516497 |
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|
My(a)= |
-7,220 |
kNm |
|
|
|
|
|
|
My |
0,000 |
kNm |
My |
9,172 |
kNm |
My |
0,000 |
kNm |
|
|
|
|
Tz |
0 |
0 |
0 |
2,20126518129937 |
0 |
0 |
0 |
9,53881578563059 |
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|
Mz |
0 |
0 |
0 |
-1,76600350802326 |
0 |
0 |
0 |
3,27972080061463 |
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|
Tz(a)= |
9,110 |
kN |
|
|
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|
|
|
Tz |
5,870 |
kN |
Tz |
-1,468 |
kN |
Tz |
0,000 |
kN |
|
|
|
|
Ty |
0 |
0 |
0 |
0,46575916695119 |
0 |
0 |
0 |
2,01828972345516 |
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Mz(a)= |
19,310 |
kNm |
|
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|
|
Mz |
-1,242 |
kNm |
Mz |
-1,630 |
kNm |
Mz |
7,763 |
kNm |
|
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|
11 |
12 |
21 |
22 |
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B |
0 |
-1,44673860615228 |
0,122773698469759 |
-0,902540160024 |
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Ty(a)= |
24,350 |
kN |
|
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|
Ty |
0,621 |
kN |
Ty |
-0,932 |
kN |
Ty |
2,795 |
kN |
|
|
|
|
Ms |
-0,003242060777221 |
-3,42837979524947 |
-4,5068748584666 |
-14,2774911445266 |
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Mom |
0 |
-0,114020204750534 |
-0,209456650581316 |
-1,07290885547336 |
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|
Siły pochodzące od skręcania |
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|
|
m= |
-4,72320 |
kNm/m |
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|
|
Początek |
|
|
Środek |
|
|
Koniec |
|
|
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|
|
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|
|
B= |
-1,446739 |
kNm2 |
|
|
|
|
|
|
B |
0,000000 |
kNm2 |
B |
-1,484197 |
kNm2 |
B |
0,000000 |
kNm2 |
|
|
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|
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|
|
Mw= |
-0,114020 |
kNm |
|
|
|
|
|
|
Mw |
-2,679816 |
kNm |
Mw |
0,000000 |
kNm |
Mw |
2,679816 |
kNm |
|
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|
|
|
|
|
|
Ms= |
1,000000 |
kNm |
|
|
|
|
|
|
Ms |
-9,128184 |
kNm |
Ms |
0,000000 |
kNm |
Ms |
9,128184 |
kNm |
|
|
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|
|
|
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|
|
Naprężenia normalne |
|
|
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|
|
|
|
|
s(1)= |
-62,119 |
MPa |
+ |
-27,142 |
MPa |
= |
-89,261 |
MPa |
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
s(2)= |
34,495 |
MPa |
+ |
18,116 |
MPa |
= |
52,612 |
MPa |
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
s(3)= |
-7,579 |
MPa |
+ |
-24,198 |
MPa |
= |
-31,778 |
MPa |
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
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|
|
|
|
|
|
|
|
s(4)= |
-70,378 |
MPa |
+ |
77,950 |
MPa |
= |
7,571 |
MPa |
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
s(5)= |
34,495 |
MPa |
+ |
149,683 |
MPa |
= |
184,178 |
MPa |
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
s(c)= |
89,000 |
MPa |
+ |
-11,504 |
MPa |
= |
77,496 |
MPa |
|
|
|
|
|
|
|
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|
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Naprężenia styczne |
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ts= |
9,013 |
MPa |
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tM+w= |
-2,906 |
MPa |
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Patrząc w kierunku strzałki S - lewa krawędź odcinka
Lewa rzędna |
Środkowa rzędna |
Patrząc w kierunku strzałki S - prawa krawędź odcinka
Prawa rzędna |
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t |
Plus oznacza, że zwroty są przeciwne do kierunku S
6,107 |
MPa |
|
Plus oznacza, że zwroty są przeciwne do kierunku S
-2,906 |
MPa |
|
Plus oznacza, że zwroty są przeciwne do kierunku S
-11,919 |
MPa |
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Zadanie 6 |
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dane, które należy podać |
dane, które można sprawdzić w prog. |
dane, które należy zawrzeć w projekcie |
dane pomocnicze (dla arkusza) |
dane do skontrolowania |
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Dane |
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Warunki podparcia belki |
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a |
0,48 |
- |
Podpora lewa |
Podpora środkowa |
Podpora lewa |
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b |
0,40 |
- |
1 podpora przegubowa
2 łyżwa
3 usztywnienie pełne
3 |
0 brak podpory
1 podpora przegubowa
1 |
1 podpora przegubowa
2 łyżwa
3 usztywnienie pełne
0 |
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g |
1,28 |
- |
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L |
5,52 |
m |
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EI |
1248 |
kNm^2 |
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w'(aL) |
-1,8528E-02 |
qL^3/EI |
Kontrola pośrednia |
Kontrola wyników optymalizacji w stosunku do danego wyniku kontrolnego
OK |
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Warunki brzegowe dla przyjętego schematu belki
Warunki brzegowe |
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Reakcje podporowe |
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w'(0)1=0 |
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Ma= |
-0,096400 |
qL^2 |
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w(0)1=0 |
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Va= |
0,722500 |
qL |
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w(aL)1=0 |
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Vb= |
-0,762500 |
qL |
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w(aL)2=0 |
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Mc= |
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qL^2 |
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Vc= |
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qL |
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w'(aL)1=w'(aL)2 |
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Stałe całkowania |
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A= |
0,000000 |
qL^3 |
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B= |
0,000000 |
qL^4 |
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SMb=0 |
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C= |
0,135821 |
qL^3 |
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SY=0 |
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D= |
-0,023814 |
qL^4 |
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Funkcja ugięcia dla I przedziału |
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Wzór funkcji ugięcia |
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1 |
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w(x)= |
------------------------------ |
( |
0,041667 |
qx^4 |
+ |
-0,120417 |
qLx^3 |
+ |
0,048200 |
qL^2x^2 |
+ |
0,000000 |
qL^3x |
+ |
0,000000 |
L^4) |
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1,00 |
EI |
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1 |
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w'(x)= |
------------------------------ |
|
( |
0,166667 |
qx^3 |
+ |
-0,361250 |
qLx^2 |
+ |
0,096400 |
qL^2x |
+ |
0,000000 |
L^3) |
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1,00 |
EI |
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1 |
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w''(x)= |
------------------------------ |
|
( |
0,500000 |
qx^2 |
+ |
-0,722500 |
qLx |
+ |
0,096400 |
L^2) |
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1,00 |
EI |
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Wartość siły N |
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N(x)= - |
2,28 |
P |
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Funkcja ugięcia dla II przedziału |
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Wzór funkcji ugięcia |
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1 |
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w(x)= |
------------------------------ |
( |
-0,041667 |
qx^4 |
+ |
0,166667 |
qLx^3 |
+ |
-0,250000 |
qL^2x^2 |
+ |
0,135821 |
qL^3x |
+ |
-0,023814 |
L^4) |
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0,40 |
EI |
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1 |
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w'(x)= |
------------------------------ |
|
( |
-0,166667 |
qx^3 |
+ |
0,500000 |
qLx^2 |
+ |
-0,500000 |
qL^2x |
+ |
0,135821 |
L^3) |
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0,40 |
EI |
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1 |
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w''(x)= |
------------------------------ |
|
( |
-0,500000 |
qx^2 |
+ |
1,000000 |
qLx |
+ |
-0,500000 |
L^2) |
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0,40 |
EI |
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Wartość siły N |
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N(x)= - |
1 |
P |
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Całka 1 |
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0,48 |
L |
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0,48 |
L |
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⌠ |
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q² ⌠ |
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I1= |
│ |
1,00 |
EI(w''1)²dx= |
-------------│( |
0,500000 |
x^2 |
+ |
-0,722500 |
Lx |
+ |
0,096400 |
L^2)^2 dx= |
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⌡ |
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1,00 |
EI ⌡ |
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0,00 |
L |
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0,00 |
L |
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0,48 |
L |
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q² ⌠ |
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= |
-------------│( |
0,250000 |
x^4 |
+ |
-0,722500 |
Lx^3 |
+ |
0,618406 |
L^2x^2 |
+ |
-0,139298 |
L^3x |
+ |
0,009293 |
L^4) |
dx= |
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1,00 |
EI ⌡ |
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0,00 |
L |
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q² |
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| |
0,48 |
L |
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|
---------------( |
0,050000 |
x^5 |
+ |
-0,180625 |
Lx^4 |
+ |
0,206135 |
L^2x^3 |
+ |
-0,069649 |
L^3x^2 |
+ |
0,009293 |
L^4x |
) | |
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= |
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1,00 |
EI |
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| |
0,00 |
L |
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q^2L^5 |
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= |
2,896113E-03 |
-------------- |
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EI |
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Całka 2 |
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1,00 |
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1,00 |
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⌠ |
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q² ⌠ |
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I2= |
│ |
0,40 |
EI(w''2)²dx= |
-------------│( |
-0,500000 |
x^2 |
+ |
1,000000 |
Lx |
+ |
-0,500000 |
L^2)^2 dx= |
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⌡ |
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0,40 |
EI ⌡ |
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0,48 |
L |
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0,48 |
L |
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1,00 |
L |
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q² ⌠ |
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= |
-------------│( |
0,250000 |
x^4 |
+ |
-1,000000 |
Lx^3 |
+ |
1,500000 |
L^2x^2 |
+ |
-1,000000 |
L^3x |
+ |
0,250000 |
L^4) |
dx= |
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0,40 |
EI ⌡ |
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0,48 |
L |
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q² |
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1,00 |
L |
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= |
---------------( |
0,050000 |
x^5 |
+ |
-0,250000 |
Lx^4 |
+ |
0,500000 |
L^2x^3 |
+ |
-0,500000 |
L^3x^2 |
+ |
0,250000 |
L^4x |
) | |
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= |
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0,40 |
EI |
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0,48 |
L |
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q^2L^5 |
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= |
4,752550E-03 |
-------------- |
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EI |
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Całka 3 |
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0,48 |
L |
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0,48 |
L |
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⌠ |
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2,28 |
q² ⌠ |
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I3= |
│ |
2,28 |
(w'1)²dx= |
-------------│( |
0,166667 |
x^3 |
+ |
-0,361250 |
Lx^2 |
+ |
0,096400 |
L^2x |
+ |
0,000000 |
L^3)^2 dx= |
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⌡ |
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1,00 |
EI² ⌡ |
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0,00 |
L |
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0,00 |
L |
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0,48 |
L |
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2,28 |
q² ⌠ |
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= |
-------------│( |
0,027778 |
x^6 |
+ |
-0,120417 |
Lx^5 |
+ |
0,162635 |
L^2x^4 |
+ |
-0,069649 |
L^3x^3 |
+ |
0,009293 |
L^4x^2 + |
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1,00 |
EI² ⌡ |
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0,00 |
L |
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+ |
0,000000 |
L^5x |
+ |
0,000000 |
L^6) dx |
= |
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2,28 |
q² |
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= |
--------------( |
0,003968 |
x^7 |
+ |
-0,020069 |
Lx^6 |
+ |
0,032527 |
L^2x^5 |
+ |
-0,017412 |
L^3x^4 |
+ |
0,003098 |
L^4x^3 + |
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1,00 |
EI² |
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| |
0,48 |
L |
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q^2L^7 |
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+ |
0,000000 |
L^5x^2 |
+ |
0,000000 |
L^6x)= |
| |
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= |
5,676415E-05 |
-------------- |
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| |
0,00 |
L |
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EI^2 |
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Całka 4 |
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1,00 |
L |
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1,00 |
L |
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⌠ |
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1,00 |
q² ⌠ |
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I4= |
│ |
1,00 |
(w'2)²dx= |
-------------│( |
-0,166667 |
x^3 |
+ |
0,500000 |
Lx^2 |
+ |
-0,500000 |
L^2x |
+ |
0,135821 |
L^3)^2 dx= |
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⌡ |
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0,16 |
EI² ⌡ |
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0,48 |
L |
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0,48 |
L |
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1,00 |
L |
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1,00 |
q² ⌠ |
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= |
-------------│( |
0,027778 |
x^6 |
+ |
-0,166667 |
Lx^5 |
+ |
0,416667 |
L^2x^4 |
+ |
-0,545274 |
L^3x^3 |
+ |
0,385821 |
L^4x^2 + |
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0,16 |
EI² ⌡ |
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0,48 |
L |
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+ |
-0,135821 |
L^5x |
+ |
0,018447 |
L^6) dx |
= |
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1,00 |
q² |
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= |
--------------( |
0,003968 |
x^7 |
+ |
-0,027778 |
Lx^6 |
+ |
0,083333 |
L^2x^5 |
+ |
-0,136318 |
L^3x^4 |
+ |
0,128607 |
L^4x^3 + |
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0,16 |
EI² |
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| |
1,00 |
L |
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q^2L^7 |
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+ |
-0,067910 |
L^5x^2 |
+ |
0,018447 |
L^6x)= |
| |
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= |
2,172596E-03 |
-------------- |
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| |
0,48 |
L |
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EI^2 |
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Wyniki |
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Pkr= |
3,43088 |
EI/L^2 = |
140,52 |
kN |
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m= |
1,696083 |
- |
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