γ żelbetu |
25,00 |
kN/m3 |
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Wymiary ściany oporowej: |
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γ Ps |
16,68 |
kN/m3 |
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t= |
0,30 |
m |
grubość ściany |
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a)Obciążenia charakterystyczne: |
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Hs= |
5,60 |
m |
wysokość(naziom + Hposadownienia) |
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G1n |
39,00 |
kN |
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hp= |
1,50 |
m |
posadowienie |
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G2n |
26,00 |
kN |
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Hn= |
4,10 |
m |
wysokość naziomu |
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G3n |
42,00 |
kN |
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B= |
4,20 |
m |
szerokość ściany |
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G4n |
251,80 |
kN |
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h1= |
0,30 |
m |
wysokośc podstawy do skosu |
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G5n |
18,34 |
kN |
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h2= |
0,20 |
m |
wysokość skosu |
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b1= |
0,70 |
m |
szerkość skosu ściany |
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Q= |
14,00 |
kPa |
Obciążenie naziomu |
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B2= |
2,50 |
m |
czesc stopu pod naziomem(szerokość) |
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B3= |
1,00 |
m |
część stopy na zewnątrz(szerokość) |
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Kąt tarcia dla 1 warstwy: |
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b)jednostkowe parcie graniczne: |
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φ= |
32,9 |
2/3φ= |
21,93 |
w stopniach |
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Ka i reszte wyliczyć samemu!! |
Ka= |
0,266 |
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φ= |
0,57 |
2/3φ= |
0,38 |
w radianach |
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Ean0= |
3,724 |
kPa |
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z= |
28,57 |
kPa |
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Gdy zmieniamy wymiary należy ponownie przeliczyć wartości mimośrodów w pkt. 2.3.3.!!! |
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c) Wypadkowe parce graniczne: |
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Ean= |
90,41 |
kPa |
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Wysokość zaczepienia: |
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he= |
2,08 |
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Składowe pionowe i poziome parcia granicznego: |
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EanV= |
33,77 |
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EanH= |
83,87 |
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2.3.2 Ustalenie wartości obliczeniowych: |
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a) Wartości obliczeniowe ciężarów: |
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G1r |
1,1 |
42,90 |
kN |
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0,9 |
35,10 |
kN |
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G2r |
1,1 |
28,60 |
kN |
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0,9 |
23,40 |
kN |
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G3r |
1,1 |
46,20 |
kN |
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0,9 |
37,80 |
kN |
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G4r |
1,1 |
276,98 |
kN |
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0,9 |
226,62 |
kN |
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G5r |
1,1 |
20,18 |
kN |
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0,9 |
16,51 |
kN |
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b) Wartości jednostkowego parcia: |
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Ean0 |
1 |
4,47 |
kN |
γF= |
1,2 |
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1,1 |
4,92 |
kN |
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0,9 |
4,02 |
kN |
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EanH(z) |
1 |
34,28 |
kN |
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1,1 |
37,71 |
kN |
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0,9 |
30,85 |
kN |
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c) Wartości obliczeniowe wypadkowej parcia: |
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Ear |
1 |
108,49 |
kN |
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1,1 |
119,34 |
kN |
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0,9 |
97,65 |
kN |
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EarV |
1 |
40,53 |
kN |
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1,1 |
44,58 |
kN |
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0,9 |
36,47 |
kN |
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EarH |
1 |
100,64 |
kN |
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1,1 |
110,71 |
kN |
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0,9 |
90,58 |
kN |
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2.3.3 Mimośrody działających sił względem środka podstawy: |
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(policzyć samemu i wpisać) |
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e1= |
0,55 |
m |
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e2= |
0,832 |
m |
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e3= |
0 |
m |
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e4= |
-0,85 |
m |
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e5= |
1,6 |
m |
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eh(he)= |
2,08 |
m |
Policzone wcześniej!! |
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er= |
0,4 |
m |
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2.4 Sprawdzeniei wymiarów ściany oporowej: |
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2.4.1Obliczzenie momentu względem środka podstawy fundamentowej: |
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Mro= |
60,27 |
kNm |
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2.4.2 Wypadkowa obliczeniowa obciązeń pionowych. |
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Nr= |
439,26 |
kN |
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2.4.3 Mimośród względem środka podstawy fundamentu: |
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e= |
0,14 |
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B/6= |
0,70 |
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WARUNEK!! |
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2.4.4 Rozkład naprężeń obliczeniowych pod fundamentem: |
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qrmax= |
125,09 |
kPa |
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qrmin= |
84,09 |
kPa |
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2.4.5 Stopień nierównomiernego rozkładu naprężeń: |
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qrmax/qrmin= |
1,49 |
<2 |
WARUNEK!!! |
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2.5 Sprawdzenie stanu granicznego nosności podłoża: |
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2.5.1 Sprawdzenie stateczności na obrót względem przedniej krawędzi podstawy fundamentu: |
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m0= |
0,8 |
gdy Q>10kPa |
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Odległości względem dolnego punkt podstawy ściany po stronie zewnętrzej a środkami ciężkości! |
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(w poziomie) |
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a1= |
1,55 |
m |
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a2= |
1,264 |
m |
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a3= |
2,1 |
m |
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a4= |
3,8 |
m |
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a5= |
0,5 |
m |
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aV= |
1,7 |
m |
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Mor= |
209,53 |
kNm |
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Mur= |
1086,53 |
kNm |
*0,8= |
869,221094428491 |
kNm |
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Mor<0.8*Mur |
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209,53 |
< |
869,221094428491 |
kNm |
WARUNEK SPEŁNIONY!! |
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2.5.2 Sprawdzenie stateczności na przesunięcie. |
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Qtv |
< |
mt*Qtf |
mt= |
0,9 |
gdy Q>10kPa |
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0,95 |
w pozostałych przypadkach |
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a) Przesunięcie fundamentu po gruncie w poziomie posadowienia |
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Qtv=EarH= |
100,64 |
kN |
μ= |
0,5 |
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Qtf= |
179,697022951651 |
kN |
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mt*Qtf= |
161,727320656486 |
kN |
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100,64 |
< |
161,727320656486 |
kN |
WARUNEK SPEŁNIONY! |
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b) Przesunięcie fundamentu w płaszczyźnie poniżej poziomu posadowienia |
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μ= |
0,64692901263344 |
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Qtf= |
232,50 |
kN |
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mt*Qtf= |
209,25 |
kN |
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100,64 |
< |
209,25 |
kN |
WARUNEK SPEŁNIONY |
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2.5.3 Sprawdzenie warunku na wypieranie podłoża przez fundament. |
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a) podłoże jednorodne: |
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Nr= |
435,21 |
kN |
m= |
0,81 |
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QfnB= |
1167,12 |
kN |
L= |
1 |
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Dmin= |
1,50 |
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m*QfnB= |
945,37 |
kN |
B'= |
3,93 |
m |
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tgδ= |
0,231 |
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tgφ= |
0,647 |
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tgδ/tgφ= |
0,357 |
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Wartości na podst. Tabeli Z1-1 normy |
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ic= |
0,47 |
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id= |
0,56 |
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ib= |
0,23 |
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Nd= |
17,64 |
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Nc= |
29,25 |
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Nb= |
7,1 |
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Cu= |
0 |
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ρd= |
1,53 |
t/m3 |
0,9*ρ |
z tabelki z samego poczatku dla 1 warstwy |
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ρb= |
1,19 |
t/m3 |
|
obliczeniowa średnia gęstość gruntów zalegających poniżej poziomu fundamentu do głębokości =B |
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435,21 |
< |
945,37 |
WARUNEK SPEŁNIONY |
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b) Sorawdzenie warunku nośności dla podłoża wielowarstwowego: |
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h= |
2,70 |
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b= |
0,9 |
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paramtery geotechniczne gruntu warstwy słabszej: |
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π= |
14,22 |
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B= |
5,10 |
m |
ρb= |
0,89 |
t/m3 |
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Cu= |
15,75 |
kPa |
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ρh= |
1,10 |
średnia gęstość objętościowa gruntu nad podstawą zastepczego fund. I pod podst. Rzeczywistego fund. |
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Nr'= |
490,41 |
kN |
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Mimośród względem środka cuężkości fundamentu zastępczego: |
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eB= |
0,34 |
m |
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tgδ= |
0,205 |
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QfnB'= |
830,23 |
kN |
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φ= |
14,22 |
stopnie |
dla 2 warswty |
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φ= |
0,248 |
radiany |
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m*QfnB'= |
672,48 |
kN |
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tgφ= |
0,253410349862632 |
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tgδ/tgφ= |
0,809 |
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Wartości na podst. Tabeli Z1-1 normy |
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ic= |
0,58 |
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id= |
0,72 |
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ib= |
0,43 |
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Nd= |
3,667 |
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Nc= |
10,5 |
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Nb= |
0,504 |
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Cu= |
0 |
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ρd= |
1,11 |
t/m3 |
|
z tabelki z samego poczatku dla 1 warstwy |
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ρb= |
1,36 |
t/m4 |
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D'min= |
4,20 |
m |
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B= |
3,65 |
m |
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490,41 |
< |
672,48 |
WARUNEK SPEŁNIONY |
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2.5.4 Usuwisko lub zsuw podłoża razem z budowla (sprawdzenie stateczności ogólnej) |
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Wartości geometryczne odczytane z rysunku: |
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METODA FALLENIUSA!! |
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h1= |
1,67 |
m |
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h2= |
2,93 |
m |
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a1= |
0,631 |
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h3= |
3,8 |
m |
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a2= |
0,8 |
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h4= |
4,45 |
m |
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a3= |
0,46 |
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h5= |
4,95 |
m |
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h6= |
5,33 |
m |
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h7= |
5,6 |
m |
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h8= |
1,5 |
m |
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h9= |
1,23 |
m |
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h10= |
0,85 |
m |
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h11= |
0,35 |
m |
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L.p |
deltaH/a |
alfa (i) |
sin ALFA(i) |
cos ALFA(i) |
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1 |
2,647 |
68,000 |
0,927 |
0,375 |
|
1,187 |
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2 |
1,575 |
57,000 |
0,839 |
0,545 |
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0,995 |
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3 |
1,088 |
47,000 |
0,731 |
0,682 |
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0,820 |
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4 |
0,813 |
39,000 |
0,629 |
0,777 |
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0,681 |
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5 |
0,625 |
32,000 |
0,530 |
0,848 |
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0,559 |
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6 |
0,475 |
25,000 |
0,423 |
0,906 |
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0,436 |
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7 |
0,338 |
19,000 |
0,326 |
0,946 |
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0,332 |
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8 |
0,000 |
0,000 |
0,000 |
1,000 |
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0,000 |
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9 |
-0,338 |
-18,000 |
-0,309 |
0,951 |
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-0,314 |
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10 |
-0,475 |
-25,000 |
-0,423 |
0,906 |
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-0,436 |
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11 |
-0,625 |
-31,000 |
-0,515 |
0,857 |
|
-0,541 |
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12 |
-0,761 |
-38,000 |
-0,616 |
0,788 |
|
-0,663 |
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G1 |
17,62 |
kN |
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G2 |
41,89 |
kN |
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G3 |
56,09 |
kN |
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G4 |
66,23 |
kN |
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G5 |
73,91 |
kN |
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G6 |
79,78 |
kN |
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G7 |
84,11 |
kN |
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G8 |
358,80 |
kN |
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G9 |
18,21 |
kN |
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G10 |
13,88 |
kN |
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G11 |
8,00 |
kN |
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G12 |
2,33 |
kN |
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L.p |
Gi(kN) |
cos ALFA(i) |
Ni=GicosALFA |
tg FI |
Ti |
sin ALFa (i) |
Bi |
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1 |
17,62 |
0,375 |
6,601 |
0,662 |
4,370 |
0,927 |
16,338 |
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2 |
41,89 |
0,545 |
22,813 |
0,662 |
15,102 |
0,839 |
35,128 |
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3 |
56,09 |
0,682 |
38,256 |
0,662 |
25,326 |
0,731 |
41,025 |
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4 |
66,23 |
0,777 |
51,474 |
0,662 |
34,075 |
0,629 |
41,682 |
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5 |
73,91 |
0,848 |
62,675 |
0,662 |
41,491 |
0,530 |
39,164 |
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6 |
79,78 |
0,906 |
72,301 |
0,662 |
47,864 |
0,423 |
33,715 |
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7 |
84,11 |
0,946 |
79,529 |
0,662 |
52,648 |
0,326 |
27,384 |
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8 |
358,80 |
1,000 |
358,801 |
0,647 |
232,144 |
0,000 |
0,000 |
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9 |
18,21 |
0,951 |
17,320 |
0,647 |
11,206 |
-0,309 |
-5,628 |
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10 |
13,88 |
0,906 |
12,575 |
0,647 |
8,136 |
-0,423 |
-5,864 |
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11 |
8,00 |
0,857 |
6,862 |
0,647 |
4,439 |
-0,515 |
-4,123 |
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12 |
2,33 |
0,788 |
1,840 |
0,647 |
1,190 |
-0,616 |
-1,437 |
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SUMA: |
477,992 |
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217,384 |
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R= |
7,76 |
m |
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Mo= |
1686,11 |
kNm |
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Mu= |
3707,48 |
kNm |
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m= |
0,7 |
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Mo |
< |
m*Mu |
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|
1686,11 |
< |
2595,23600391928 |
WARUNEK SPEŁNIONY |
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3.0 Sprawdzenie II stanu granicznego: |
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Gn= |
377,15 |
kN |
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qns= |
89,80 |
kPa |
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δD= |
25,02 |
kPa |
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γ= |
1,7 |
wartość z tabelki!! |
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t |
h |
r(r) |
str |
szr |
z |
z/B |
ηs |
δzs |
szd |
M(n) |
M(n)o |
λ |
s'' |
s' |
Sc |
|
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|
m |
m |
t/m3 |
kPa |
kPa |
m |
- |
- |
kPa |
kPa |
kPa |
kPa |
- |
cm |
cm |
cm |
|
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|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
|
Gz, c |
-1,5 |
1,5 |
|
1,7 |
25,02 |
|
0 |
0 |
1 |
25,0155 |
64,7810952380952 |
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|
-1,95 |
1,95 |
0,45 |
1,70 |
32,52 |
28,77 |
0,225 |
0,054 |
0,950 |
23,764725 |
61,5420404761905 |
107222 |
96500 |
1 |
0,0100 |
0,0287 |
0,039 |
|
-2,40 |
2,40 |
0,45 |
1,70 |
40,02 |
36,27 |
0,675 |
0,161 |
0,860 |
21,51333 |
55,7117419047619 |
107222 |
96500 |
1 |
0,0090 |
0,0260 |
0,035 |
|
-2,85 |
2,85 |
0,45 |
1,70 |
47,53 |
43,78 |
1,125 |
0,268 |
0,780 |
19,51209 |
50,5292542857143 |
107222 |
96500 |
1 |
0,0082 |
0,0236 |
0,032 |
|
-3,30 |
3,30 |
0,45 |
2,00 |
56,36 |
51,94 |
1,575 |
0,375 |
0,690 |
17,260695 |
44,6989557142857 |
107222 |
96500 |
1 |
0,0072 |
0,0208 |
0,028 |
|
-3,75 |
3,75 |
0,45 |
2,00 |
65,19 |
60,77 |
2,025 |
0,482 |
0,620 |
15,50961 |
40,164279047619 |
107222 |
96500 |
1 |
0,0065 |
0,0187 |
0,025 |
|
-4,20 |
4,20 |
0,45 |
2,00 |
74,02 |
69,60 |
2,475 |
0,589 |
0,540 |
13,50837 |
34,9817914285714 |
107222 |
96500 |
1 |
0,0057 |
0,0163 |
0,022 |
|
π, c |
-4,70 |
4,70 |
0,50 |
2,10 |
84,32 |
79,17 |
2,975 |
0,708 |
0,480 |
12,00744 |
31,0949257142857 |
56167 |
33700 |
1 |
0,0107 |
0,0461 |
0,057 |
|
-5,20 |
5,20 |
0,50 |
2,10 |
94,62 |
89,47 |
3,475 |
0,827 |
0,400 |
10,0062 |
25,9124380952381 |
56167 |
33700 |
1 |
0,0089 |
0,0384 |
0,047 |
|
-5,70 |
5,70 |
0,50 |
2,10 |
104,92 |
99,77 |
3,975 |
0,946 |
0,380 |
9,50589 |
24,6168161904762 |
56167 |
33700 |
1 |
0,0085 |
0,0365 |
0,045 |
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-6,20 |
6,20 |
0,50 |
2,10 |
115,22 |
110,07 |
4,475 |
1,065 |
0,360 |
9,00558 |
23,3211942857143 |
56167 |
33700 |
1 |
0,0080 |
0,0346 |
0,043 |
|
-6,70 |
6,70 |
0,50 |
2,10 |
125,52 |
120,37 |
4,975 |
1,185 |
0,320 |
8,00496 |
20,7299504761905 |
56167 |
33700 |
1 |
0,0071 |
0,0308 |
0,038 |
|
|
-7,20 |
7,20 |
0,50 |
2,10 |
135,82 |
130,67 |
5,475 |
1,304 |
0,280 |
7,00434 |
18,1387066666667 |
56167 |
33700 |
1 |
0,0062 |
0,0269 |
0,033 |
|
|
-7,70 |
7,70 |
0,50 |
2,10 |
146,12 |
140,97 |
5,975 |
1,423 |
2,600 |
65,0403 |
168,430847619048 |
56167 |
33700 |
1 |
0,0579 |
0,2499 |
0,308 |
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SUMA: |
0,751 |