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1.0. PŁYTA |
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W projekcie przyjęto płytę o grubości i rozpętości pomiędzy podporami: |
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hf = |
9 |
cm |
leff = L = |
2,3 |
m |
bż = |
0,2 |
m |
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1.1 Zebranie obciążeń (na 1mb płyty żelbetowej) |
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Nazwa obciążenia |
Grubość |
Ciężar objętościowy |
Obc. Charakteryst. |
γf |
Obc. Obliczeniowe |
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[m] |
[kN/m3] |
[kN/mb] |
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[kN/mb] |
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lastrico |
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0,03 |
22 |
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0,66 |
1,2 |
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0,792 |
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styropian |
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0,02 |
0,45 |
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0,009 |
1,2 |
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0,0108 |
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płyta żelbet. |
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0,09 |
25 |
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2,25 |
1,1 |
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2,475 |
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tynk cem.-wap. |
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0,015 |
19 |
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0,285 |
1,3 |
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0,3705 |
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SUMA |
qk = |
3,204 |
- |
q = |
3,6483 |
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Obc.użytkowe |
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pk = |
4,4 |
1,3 |
p = |
5,72 |
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Obciążenie zmienne długotrwałe: |
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pklt = |
pk *ψd *1m = |
3,52 |
kPa |
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dla budownictwa przemysłowego ψd = |
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0,8 |
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1.2 Schemat statyczny |
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Płyta sześcioprzęsłowa, obliczenia wykonano dla belki pięcioprzęsłowej za pomocą tablic Winklera. |
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Obciążenie zmienne jest dowolnie ustawione na belce. |
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1.3 Momenty zginające w wybranych miejscach od obciążenia zewnętrznego. |
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1.3.1. Wzór ogólny na oblicznianie momentów przy pomocy tablic Winklera: |
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gdzie: |
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αij - |
współczynniki z tablic Winklera |
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leff - |
długość obliczeniowe równa L |
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1.3.2. Momenty przęsłowe: |
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MABmax = |
(0,078*3,6483+0,1*5,72)*2,32 = |
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4,531 |
kNm |
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MABmin = |
(0,078*43,6483-0,026*5,72)*2,32 = |
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0,719 |
kNm |
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MBCmax = |
(0,033*3,6483+0,079*5,72)*2,32 = |
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3,027 |
kNm |
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MBCmin = |
(0,033*3,6483-0,046*5,72)*2,32 = |
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-0,755 |
kNm |
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MCCmax = |
(0,046*3,6483+0,086*5,72)*2,32 = |
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3,490 |
kNm |
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MCCmin = |
(0,046*3,6483-0,040*5,72)*2,32 = |
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-0,323 |
kNm |
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1.3.3. Momenty odpowiadające: |
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odp MB = |
(-0,105*3,6483-0,053*5,72)*2,32 = |
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-3,63 |
kNm |
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odp MC = |
(-0,079*3,6483-0,040*5,72)*2,32 = |
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-2,74 |
kNm |
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1.3.4. Momenty podporowe: |
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min MB = |
(-0,105*3,6483-0,119*5,72)*2,32 = |
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-5,63 |
kNm |
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min MC = |
(-0,079*3,6483-0,111*5,72)*2,32 = |
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-4,88 |
kNm |
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1.3.5. Momenty krawędziowe: |
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QBL = |
(-0,605*3,6483-0,620*5,72)*2,3 = |
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-13,23332945 |
kN |
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QBP = |
(0,526*3,6483+0,598*5,72)*2,3 = |
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12,281 |
kN |
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QCL = |
(-0,474*3,6483-0,577*5,72)*2,3 = |
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-11,568 |
kN |
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QCP = |
(0,500*3,6483+0,591*5,72)*2,3 = |
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11,971 |
kN |
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kraw MB = |
- (|min MB| - |0,5 * bż * minQB|) = |
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-4,399 |
kNm |
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kraw MC = |
- (|min MC| - |0,5 * bż * minQC|) = |
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-3,727 |
kNm |
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1.3.6. Wartości uśrednione momentów: |
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uśr MAB = (minMAB +0,5*(odp MB))/2 = |
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-0,548 |
kNm |
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uśr MBC = (minMBC +0,5*(odp MB +odp MC))/2 = |
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-1,969 |
kNm |
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uśr MCC = (minMCC + odp MC)/2 = |
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-1,529 |
kNm |
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1.4. Wymiarowanie płyty: |
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1.4.1 DANE wyjściowe |
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Obliczenie otuliny zbrojenia: |
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c = |
20 |
mm |
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Do obliczeń przyjęto pręty Φ |
6 |
mm |
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d =90-20-8/2 = |
67 |
mm |
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d = |
0,067 |
m |
, wysokość użyteczna przekroju z projektu wstępnego |
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b = |
1 |
m |
, szerokość pasma obliczeniowego |
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beton |
B30 |
→ |
fcd = |
16,7 |
MPa |
= |
16700 |
kPa |
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stal |
A-III |
→ |
fyd = |
350 |
MPa |
= |
350000 |
kPa |
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αcc = |
1,0 |
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fyk = |
410 |
MPa |
= |
410000 |
kPa |
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1.4.2. Stany graniczne nośności z uwagi na zginanie: |
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Obliczenie względnej wysokośc strefy ściskanej: |
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Sprawdzenie czy przekrój wymaga dozbrojenia w strefie ściskanej: |
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, z Tablicy 9 normy PN-B-03264:2002 |
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ξeff.lim = |
0,53 |
dla stali AIII |
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TO JEST NIEPOTRZEBNE !!!! |
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Pole powierzchni przekroju zbrojenia: |
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Warunki konstrukcyjne dla płyt jednokierunkowych: |
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CC |
uśr MCC = |
1,529 |
1,0 |
0,067 |
0,020 |
0,0206 |
0,659 |
0,10 |
3 |
0,848 |
0,127 |
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Maksymalny rozstaw zbrojenia dla płyty |
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góra |
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Φ 8 |
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o grubości 9 cm wynosi: |
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AB |
uśr MAB = |
0,548 |
1,0 |
0,067 |
0,007 |
0,0073 |
0,235 |
0,04 |
2 |
0,565 |
0,084 |
0,9 * 12cm = |
8,1 |
cm |
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góra |
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Φ 8 |
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12cm gdy hf<10cm |
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Φ - maksymalna średnica pręta |
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BC |
uśr MBC = |
1,969 |
1,0 |
0,067 |
0,026 |
0,0266 |
0,851 |
0,13 |
4 |
1,131 |
0,169 |
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góra |
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Φ 8 |
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dg - maksymalny wymiar ziarn kruszywa (16 mm) |
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8 |
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sI = max |
20 |
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Minimalny rozstaw prętów zbrojenia głównego wynosi 21 mm |
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21 |
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= |
1,105 |
cm2 |
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→ minimalne zbrojenie elementu |
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zginanego wynosi: |
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= |
0,871 |
cm2 |
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As1,min = |
1,105 |
cm2 |
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Sprawdzenie czy wymagane jest dozbrojenie górą: |
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Wc = b*h2/6 = |
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0,001350 |
m3 |
dla betonu B30 |
fctm = |
2,6 |
MPa |
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= |
2600 |
kPa |
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Mcr = Wc * fctm = |
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3,510 |
kNm |
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|uśr MAB| = |
0,548 |
< |
3,510 |
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Brak konieczności zbrojenia płyty górą |
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Zestawienie wyników w poniższej tabeli: |
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|uśr MBC| = |
1,969 |
< |
3,510 |
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Brak konieczności zbrojenia płyty górą |
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M [kNm] |
b [m] |
d [m] |
μcs |
ξeff |
AS1 [cm2] |
ρL [%] |
ilość zbr. |
AS1 [cm2] |
ρL [%] |
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[sztuki] |
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|uśr MCC| = |
1,529 |
< |
3,510 |
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Brak konieczności zbrojenia płyty górą |
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AB |
MABmax = |
4,531 |
1,0 |
0,067 |
0,060 |
0,0624 |
1,995 |
0,30 |
10 |
2,827 |
0,422 |
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dół |
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Φ 6 |
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1.4.3. Stan graniczny użytkowania: |
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BC |
MBCmax = |
3,027 |
1,0 |
0,067 |
0,040 |
0,0412 |
1,318 |
0,20 |
6 |
1,696 |
0,253 |
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dół |
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Φ 6 |
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1.4.3.1. Szerokość rozwarcia rys prostopadłych: |
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CC |
MCCmax = |
3,490 |
1,0 |
0,067 |
0,047 |
0,0477 |
1,525 |
0,23 |
6 |
1,696 |
0,253 |
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dół |
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Φ 6 |
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d'=d+bż/6 |
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B |
min MB = |
5,627 |
1,0 |
0,1003 |
0,033 |
0,0341 |
1,630 |
0,16 |
― |
― |
― |
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gdzie z załącznika D normy PN-B-03264:2002: |
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kraw MB = |
4,399 |
1,0 |
0,067 |
0,059 |
0,0605 |
1,934 |
0,29 |
8 |
2,262 |
0,338 |
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d'=d+bż/6 |
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Φ 6 |
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ζ = |
0,9 |
jeżeli |
ρL ≤ 0,5 % |
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C |
min MC = |
4,883 |
1,0 |
0,1003 |
0,029 |
0,0295 |
1,411 |
0,14 |
― |
― |
― |
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ζ = |
0,85 |
jeżeli |
0,5 < ρL ≤ 1 % |
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kraw MC = |
3,727 |
1,0 |
0,067 |
0,050 |
0,0510 |
1,631 |
0,24 |
8 |
2,262 |
0,338 |
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Φ 6 |
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ζ = |
0,8 |
jeżeli |
ρL > 1 % |
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POD TABELKĄ POWINNA BYĆ INFORMACJA O Asmin I KSIeff |
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1.4.3.2. Momenty podporowe - wartości charakterystyczne: |
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min MB = |
(-0,105*3,204-0,12*3,52)*2,32 = |
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-4,01 |
kNm |
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min MC = |
(-0,079*3,204-0,111*3,52)*2,32 = |
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-3,41 |
kNm |
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1.4.3.3. Momenty krawędziowe - wartości charakterystyczne: |
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QBL = |
(-0,605*3,204-0,620*3,52)*2,3 = |
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-9,478 |
kN |
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QBP = |
(0,526*3,204+0,598*3,52)*2,3 = |
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8,718 |
kN |
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QCL = |
(-0,474*3,204-0,577*3,52)*2,3 = |
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-8,164 |
kN |
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QCP = |
(0,500*3,204+0,591*3,52)*2,3 = |
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8,469 |
kN |
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kraw MB = |
- (|min MB| - |0,5 * bż * minQB|) = |
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-3,142 |
kNm |
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kraw MC = |
- (|min MC| - |0,5 * bż * minQC|) = |
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-2,589 |
kNm |
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Przęsło AB |
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Msd = MABmax = |
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(0,078*3,204+0,1*3,52)*2,32 = |
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3,184 |
kNm |
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ρL = |
0,4 |
% |
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σs = |
197743,657735823 |
kPa |
<= |
410000 |
kPa |
warunek nie przekroczony |
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Przęsło BC |
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Msd = MBCmax = |
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(0,033*3,204+0,079*3,52)*2,32 = |
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2,0304 |
kNm |
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ρL = |
0,3 |
% |
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σs = |
210153,612606997 |
kPa |
<= |
410000 |
kPa |
warunek nie przekroczony |
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Przęsło CC |
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Msd = MCCmax = |
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(0,046*3,204+0,086*3,52)*2,32 = |
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2,381 |
kNm |
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ρL = |
0,3 |
% |
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σs = |
246451,3 |
kPa |
<= |
410000 |
kPa |
warunek nie przekroczony |
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Podpora B |
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Msd =kraw MB = |
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- (|min MB| - |0,5 * bż * minQB|) = |
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3,142 |
kNm |
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ρL = |
0,3 |
% |
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σs = |
243941,092790722 |
kPa |
<= |
410000 |
kPa |
warunek nie przekroczony |
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Podpora C |
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Msd = kraw MC = |
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- (|min MC| - |0,5 * bż * minQC|) = |
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2,589 |
kNm |
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ρL = |
0,3 |
% |
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σs = |
201016,618046497 |
kPa |
<= |
410000 |
kPa |
warunek nie przekroczony |
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1.4.3.4. Warunek ugięcia płyty: |
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Sprawdzamy przesło AB - skrajne przesło belki ciagłej |
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leff = L = |
2,3 |
m |
d = |
0,067 |
m |
σs = |
197743,657735823 |
kPa |
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As/bd = |
0,422 |
% |
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leff / d = |
28 |
, na podstawie Tablicy 13 normy PN-B-03264:2002 |
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34,328 |
<= |
35,399 |
kPa |
Warunek ugięcia nie przekroczony. |
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Na podstawie analizy załącznika D1 normy PN-B-03264:2002 wynika, że maksymalna średnica zbrojenia |
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to Φ 12 mm, natomiast największa zaprojektowana to Φ 6 mm → maksymalna szerokośc rys |
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wynosząca 0,3 mm nie zostanie przekroczona. |
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next page |
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end |
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Część nr 3 |
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0,850 |
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2.0. ŻEBRO |
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L = |
2,300 |
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qk = |
3,204 |
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q = |
3,648 |
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pk = |
4,400 |
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p = |
5,720 |
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Żebro: |
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h = |
0,500 |
m |
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hf = |
0,090 |
m |
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bż = bw = |
0,200 |
m |
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h - hf = |
0,410 |
m |
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2.1 Zebranie obciążeń: |
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a) obciążenia stałe |
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→ reakcje od obciążeń stałych: |
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Ciężar płyty z pozycji 1.1 (qk ,q) |
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charakterystyczne: |
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RBqk = |
1,132*3,024*2,3 |
= |
8,342 |
kN/m |
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obliczeniowe: |
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RBq = |
1,132*3,6483*2,3 |
= |
9,499 |
kN/m |
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→ ciężar własny żebra z tynkiem: |
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charakterystyczne: |
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gk = |
0,41*0,2*24+0,015*(0,2+2*0,41)*19 |
= |
2,259 |
kN/m |
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obliczeniowe: |
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g = |
0,41*0,2*24+0,015*(0,2+2*0,41)*19*1,3 |
= |
2,543 |
kN/m |
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SUMA OBCIĄŻEŃ STAŁCH: |
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Obciążenia charakterystyczne: |
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qk = |
gk + RBk = |
10,601 |
kN/m |
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Obciążenia obliczeniowo: |
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q = |
g + RB = |
12,041 |
kN/m |
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b) obciążenia zmienne: |
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Obciążenia użytkowe płyty z pozycji 1.1 (pk, p) |
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charakterystyczne: |
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RBpk = |
1,218*4,4*2,3 |
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12,326 |
kN/m |
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obliczeniowe: |
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p = RBp = |
1,218*5,72*2,3 |
= |
16,024 |
kN/m |
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2.2. Schemat statyczny (obwiednie) |
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Obliczenia wykonano dla schematu belki z przewieszeniem: |
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L = leff = |
6,300 |
m |
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2.3. Wymiarowanie żebra z uwagi na zginanie: |
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2.3.1. Obliczenie szerokości płyty współpracującej z żebrem beff |
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bs = |
2,300 |
m |
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hf = |
0,090 |
m |
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bw = br = |
0,200 |
m |
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h = |
0,500 |
m |
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l0 - odcinek, na którym występuje moment jednakowego znaku |
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, ponieważ mamy do czynienia z żebrem przedostatnim to: |
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l0 = |
0,85*leff = |
5,355 |
m |
dla przęsła skrajnego |
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l0 = |
0,7*leff = |
4,410 |
m |
dla przęsła wewnętrznego |
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beff1 (beff2) ≤ 0,1 l0 |
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beff1 (beff2) ≤ 0,5 bs |
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poprawić |
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beff1 (beff2) ≤ 6 hf |
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2.3.1.2. beff dla przęsła wewnętrznego: |
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beff1 (beff2) |
≤ |
0,441 |
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beff1 (beff2) |
≤ |
1,150 |
→ |
beff1 = |
0,441 |
m |
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beff1 (beff2) |
≤ |
0,540 |
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beff = |
2 * beff1 + bw = |
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1,082 |
m |
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2.3.2. Przyjęcie wymiaru d: |
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Obliczenie otuliny zbrojenia: |
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cmin = |
25,000 |
mm |
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Do obliczeń przyjęto pręty: |
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dla prętów głównych Φ = |
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14,000 |
mm |
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dla strzemion Φst = |
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8,000 |
mm |
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a1 = |
cmin + Φst + Φ/2 = |
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40,000 |
mm |
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d = h - a1 = |
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0,460 |
m |
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As = |
1,539 |
cm2 |
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Ac= |
0,179 |
m2 |
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2.3.3. Wyznaczenie rodzaju przekroju: |
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Dla przęsła wewnętrznego: |
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Mf = |
674,892 |
kNm |
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Dla podpory B: |
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Mf = |
124,749 |
kNm |
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→ |
przekrój pozornie teowy, gdy: |
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Msd ≤ Mf |
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Przęsło AB |
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Msd |
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Mf |
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134,960 |
<= |
674,892 |
|
Przekrój pozornie teowy. |
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Podpora B |
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Msd |
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Mf |
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20,200 |
<= |
124,749 |
|
Przekrój pozornie teowy. |
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2.3.4. Stan graniczny nośności (SGN) z uwagi na zginanie: |
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2.3.4. Stan graniczny nośności (SGN) z uwagi na zginanie: |
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STAL: |
A-III |
25G2S |
→ |
fyk = |
395000,000 |
kPa |
= |
395,000 |
MPa |
STAL: |
A-III |
25G2S |
→ |
fyk = |
395000,000 |
kPa |
= |
395,000 |
MPa |
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fyd = |
350000,000 |
kPa |
= |
350,000 |
MPa |
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fyd = |
350000,000 |
kPa |
= |
350,000 |
MPa |
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BETON: |
B30 |
|
→ |
fctm = |
2600,000 |
kPa |
= |
2,600 |
MPa |
BETON: |
B30 |
|
→ |
fctm = |
2600,000 |
kPa |
= |
2,600 |
MPa |
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fcd = |
16700,000 |
kPa |
= |
16,700 |
MPa |
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fcd = |
16700,000 |
kPa |
= |
16,700 |
MPa |
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fctd = |
1200,000 |
kPa |
= |
1,200 |
MPa |
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fctd = |
1200,000 |
kPa |
= |
1,200 |
MPa |
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fck = |
20000,000 |
kPa |
= |
20,000 |
MPa |
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fck = |
20000,000 |
kPa |
= |
20,000 |
MPa |
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= |
0,035 |
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= |
0,029 |
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Obliczenie względnej wysokośc strefy ściskanej: |
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Obliczenie względnej wysokośc strefy ściskanej: |
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= |
0,036 |
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= |
0,029 |
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Sprawdzenie czy przekrój wymaga dozbrojenia w strefie ściskanej: |
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Sprawdzenie czy przekrój wymaga dozbrojenia w strefie ściskanej: |
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, z Tablicy 9 normy PN-B-03264:2002 |
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, z Tablicy 9 normy PN-B-03264:2002 |
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ξeff.lim = |
0,530 |
>ξeff |
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ξeff.lim = |
0,530 |
>ξeff |
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Wyznaczenie zbrojenia minimalnego: |
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Wyznaczenie zbrojenia minimalnego: |
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= |
1,574 |
cm2 |
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= |
1,574 |
cm2 |
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As1,min = |
1,574 |
cm2 |
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As1,min = |
1,574 |
cm2 |
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= |
1,196 |
cm2 |
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= |
1,196 |
cm2 |
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= |
0,001 |
= |
8,536 |
cm2 |
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= |
0,000 |
= |
1,273 |
cm2 |
< |
As1,min = |
1,574 |
cm2 |
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ilość potrzebnych prętów Φ14: |
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ilość potrzebnych prętów Φ14: |
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n=As1/AΦ14= |
|
5,545 |
=> |
przyjęto 6 szt. prętów Φ14 |
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n=As1,min/AΦ14= |
|
1,023 |
=> |
przyjęto 2 szt. prętów Φ14 |
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As1,prov = |
n*AΦ14 = |
9,236 |
cm2 |
pole zastosowanego zbrojenia |
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As1,prov = |
n*AΦ14 = |
3,079 |
cm2 |
pole zastosowanego zbrojenia |
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ρL = |
As1,prov/Ac |
*100%= |
0,515 |
% |
stopień zbrojenia |
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ρL = |
As1,prov/Ac |
*100%= |
0,172 |
% |
stopień zbrojenia |
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2.3.5. Długość zakotwienia pręta: |
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gdzie: |
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lb - podstawowa długość zakotwienia |
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fbd - przyczepność obliczeniowa, wartość z tablicy 24 |
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fbd = |
2,600 |
MPa |
, dla prętów żebrowanych Φ ≤ 32mm i betonu B30 |
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lb = |
47,115 |
cm |
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2.4. Wymiarowanie żebra z uwagi na ścinanie: |
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2.4.1. Zestawienie sił tnących: |
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Wartości sił tnacych zostały wyznaczone z programu Belka 1.0 |
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max QA = |
72,300 |
kN |
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min QBL = |
78,720 |
kN |
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max QBP = |
20,770 |
kN |
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2.4.2. Wymiarowanie strzemion: |
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VRd1= |
nośnośc elementu bez zbrojenia poprzecznego |
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VRd2= |
nośnośc elementu z uwagi na beton |
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VRd3= |
nośność elementu z uwagi na zbrojenie poprzeczne |
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Vsd= |
siła obliczeniowa |
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Przyjęto do obliczeń strzemiona dwucięte 8 mm ze stali A-II. |
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fyd = |
310,000 |
MPa |
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Asw1= |
1,005 |
cm2 |
= |
0,010 |
m2 |
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fyk = |
355,000 |
MPa |
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Wyznaczenie maksymalnego rozstawu strzemion: |
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0,345 |
m |
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0,400 |
m |
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Przyjęto maksymalny rozstaw strzemion 34 cm |
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0,001 |
= |
0,101 |
% |
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2.4.2.1. Podpora A |
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k = 1,6 - d = |
1,140 |
m |
> 1m |
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0,005 |
< |
0,010 |
Przyjmujemy ρL = |
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0,010 |
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VRd1= |
70,479 |
kN |
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Vsd |
> |
VRd1 |
odcinek drugiego rodzaju |
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Vsd = max QA = |
72,300 |
kN |
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Wyznaczenie długości odcinka drugiego rodzaju. |
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Odcinek ten ma długość: |
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c = |
(Vsd |
- VRd1)/g+p |
= 0,065m |
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, mierzone od osi podpory A |
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Wyznaczenie zbrojenia z uwagi na ścinanie: |
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Przyjmujemy: |
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ctg Θ = |
1,000 |
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, współczynnik zmiejszajacy wytrzymałość betonu na ściskanie |
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v = |
0,552 |
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z=0,9*d = |
0,414 |
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VRd2= |
381,642 |
kN |
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Vsd |
< |
VRd2 |
Warunek jest spełniony |
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Warunek jest spełniony |
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Vsd = |
72,300 |
kN |
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Wyznaczenie potrzebnego rozstawu strzemion: |
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Vsd=VRd3= |
72,300 |
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s1= |
17,845 |
m |
,przyjęto rozstaw co |
|
17,500 |
cm |
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0,003 |
= |
0,282 |
% > |
0,001 |
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2.4.2.2. Podpora BL |
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VRd1= |
70,479 |
kN |
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Vsd |
> |
VRd1 |
odcinek drugiego rodzaju |
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Vsd = min QBL = |
78,720 |
kN |
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k = 1,6 - d = |
1,140 |
m |
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Wyznaczenie długości odcinka drugiego rodzaju. |
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Odcinek ten ma długość: |
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< |
0,010 |
Przyjmujemy ρL = |
|
0,010 |
|
c = |
(Vsd |
- VRd1)/g+p |
= 0,29m |
|
, mierzone od osi podpory |
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Vsd=VRd3= |
78,720 |
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s1= |
16,389 |
m |
,przyjęto rozstaw co |
|
16,000 |
cm |
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0,003 |
= |
0,307 |
% > |
0,001 |
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2.4.2.3. Podpora BP |
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VRd1= |
70,479 |
kN |
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Vsd |
< |
VRd1 |
odcinek pierwszego rodzaju |
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Vsd = max QBP = |
20,770 |
kN |
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Rozstaw strzemion na odcinkach I rodzaju: |
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Smax=0,75d= |
34,500 |
cm |
,przyjęto rozstaw co |
|
32,000 |
cm |
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2.5. Nośność zbrojenia głównego przy ścinaniu. |
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Sprawdzenie poniższego warunku dokonuje się na odcinkach II rodzaju |
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Ftd- |
obliczeniowa siła rozciągająca w zbrojeniu podłużnym |
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w przekroju sprawdzanym na ścinanie |
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Msd - moment odpowiadający max sile tnącej w odległości d od podpory |
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wpływ siły poprzecznej |
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gdy nie stosuje się prętów odgiętych |
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Warunek: |
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ctgΘ |
= |
1,000 |
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Podpora |
Msd |
Vsd |
z |
ΔFtd |
As1 |
fyd |
Ftd |
|
As1 * fyd |
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AP |
36,230 |
72,300 |
0,414 |
36,150 |
9,236 |
350000,000 |
123,662 |
<= |
323,270 |
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BL |
18,970 |
78,720 |
0,414 |
39,360 |
3,079 |
350000,000 |
85,181 |
<= |
107,757 |
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Wszystkie warunki zostały spełnione, nośność zbrojenia głównego jest wystarczająca |
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2.6. SGU - stan graniczny użytkowania. |
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2.6.1. Sprawdzenie ugięcia. |
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2.6.1.1. Wyznaczenie kombinacji obciążęń charakterystycznych. |
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gk= |
10,601 |
kN/mb |
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pk= |
12,326 |
kN/mb |
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0,8*pk= |
9,861 |
kN/mb |
na podstawie tab.2 PN-82/B-02003 współczynnik |
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obciążenie długotrwałe dla budownictwa przemysłowego |
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L = leff = |
6,300 |
m |
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Wykres momentów zginających wykonany w programie Belka 1.0 |
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MAB = |
129,340 |
kNm |
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2.6.1.2. Przęsło AB - sprawdzenie ugięcia |
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As1 = |
9,236 |
cm2 |
= |
0,001 |
m2 |
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ρL = |
0,515 |
% |
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d= |
0,460 |
m |
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ζ= |
0,850 |
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f yk= |
395000,000 |
kPa |
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Sprawdzenie naprężeń: |
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σS= |
358145,003 |
kPa |
= |
358,145 |
MPa |
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358,145 |
<= |
395,000 |
MPa |
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Warunek na naprężenia jest spełniony |
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Sprawdzenie smukłości przekroju: |
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13,696 |
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Z interpolacji wynika: |
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19,545 |
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19,545 |
> |
13,696 |
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Warunek na smukłość spełniony |
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2.6.2. Sprawdzenie rys prostopadłych. |
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Obciążenie charakterystyczne (bez długotrwałych): |
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gk= |
10,601 |
kN/mb |
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pk= |
12,326 |
kN/mb |
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Z wykresu obwiedni (Program RM-WIN) |
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MB = |
20,210 |
kNm |
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2.6.2.1. Podpora B |
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As1 = |
3,079 |
cm2 |
= |
0,000 |
m2 |
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ρL = |
0,172 |
% |
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d= |
0,460 |
m |
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ζ= |
0,800 |
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f yk= |
395000,000 |
kPa |
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Sprawdzenie naprężeń: |
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σS= |
178378,516 |
kPa |
= |
178,379 |
MPa |
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178,379 |
< |
395,000 |
MPa |
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Warunek na naprężenia spełniony |
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2.6.3. Sprawdzenie rys ukośnych. |
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szerokość rys ukośnych: |
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gdzie: |
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Naprężenia: |
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Współczynnik: |
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Stopień zbrojenia: |
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ES= |
200,000 |
GPa |
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fck= |
20000,000 |
kPa |
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1,000 |
, współczynnik przyczepności, dla strzemion ze stali gładkiej |
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Musi być spełniony warunek: |
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Zestawienie wielkości rys: |
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przekrój |
Vsd |
τ |
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λ |
wk |
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wk,lim |
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[kN] |
[kN/m2] |
[mm] |
[mm] |
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[mm] |
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A |
72,300 |
785,870 |
0,287 |
9,284 |
0,000 |
< |
0,300 |
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BL |
78,720 |
855,652 |
0,314 |
8,489 |
0,000 |
< |
0,300 |
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BP |
20,770 |
225,761 |
0,157 |
16,977 |
0,000 |
< |
0,300 |
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Wartości Vsd z programu Belka |
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Warunki rys ukośnych = 0,3 mm zostały spełnione |
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