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 |
40,00 |
kN |
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B= |
4,00 |
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 |
14,68 |
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= |
0,80 |
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 |
44,00 |
kN |
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0,9 |
36,00 |
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 |
16,14 |
kN |
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0,9 |
13,21 |
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= |
0,65 |
m |
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e2= |
0,932 |
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= |
0,5 |
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= |
71,88 |
kNm |
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2.4.2 Wypadkowa obliczeniowa obciązeń pionowych. |
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Nr= |
437,06 |
kN |
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2.4.3 Mimośród względem środka podstawy fundamentu: |
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e= |
0,16 |
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B/6= |
0,67 |
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WARUNEK!! |
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2.4.4 Rozkład naprężeń obliczeniowych pod fundamentem: |
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qrmax= |
136,22 |
kPa |
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qrmin= |
82,31 |
kPa |
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2.4.5 Stopień nierównomiernego rozkładu naprężeń: |
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qrmax/qrmin= |
1,65 |
<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= |
1,35 |
m |
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a2= |
1,064 |
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a3= |
2 |
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a4= |
2,75 |
m |
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a5= |
0,4 |
m |
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aV= |
1,50 |
m |
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Mor= |
209,53 |
kNm |
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Mur= |
822,20 |
kNm |
*0,8= |
657,759835083962 |
kNm |
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Mor<0.8*Mur |
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209,53 |
< |
657,759835083962 |
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= |
178,797022951651 |
kN |
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mt*Qtf= |
160,917320656486 |
kN |
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100,64 |
< |
160,917320656486 |
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= |
231,34 |
kN |
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mt*Qtf= |
208,20 |
kN |
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100,64 |
< |
208,20 |
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= |
433,01 |
kN |
m= |
0,81 |
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QfnB= |
1062,47 |
kN |
L= |
1 |
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Dmin= |
1,50 |
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m*QfnB= |
860,60 |
kN |
B'= |
3,67 |
m |
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|
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tgδ= |
0,232 |
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tgφ= |
0,647 |
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|
|
tgδ/tgφ= |
0,359 |
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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= |
1,14 |
t/m3 |
|
obliczeniowa średnia gęstość gruntów zalegających poniżej poziomu fundamentu do głębokości =B |
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|
433,01 |
< |
860,60 |
WARUNEK SPEŁNIONY |
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b) Sorawdzenie warunku nośności dla podłoża wielowarstwowego: |
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h= |
2,50 |
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b= |
0,833333333333333 |
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paramtery geotechniczne gruntu warstwy słabszej: |
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π= |
14,22 |
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B= |
4,83 |
m |
ρb= |
0,89 |
t/m3 |
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Cu= |
15,75 |
kPa |
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ρh= |
1,14 |
średnia gęstość objętościowa gruntu nad podstawą zastepczego fund. I pod podst. Rzeczywistego fund. |
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Nr'= |
487,26 |
kN |
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Mimośród względem środka cuężkości fundamentu zastępczego: |
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eB= |
1,09 |
m |
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tgδ= |
0,205 |
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QfnB'= |
817,22 |
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'= |
661,95 |
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= |
1,36 |
t/m3 |
|
z tabelki z samego poczatku dla 1 warstwy |
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ρb= |
1,14 |
t/m4 |
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D'min= |
4,00 |
m |
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B= |
3,34 |
m |
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|
487,26 |
< |
661,95 |
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= |
1,81 |
m |
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h2= |
3,01 |
m |
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a1= |
0,704 |
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h3= |
3,85 |
m |
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a2= |
0,8 |
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h4= |
4,49 |
m |
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a3= |
0,515 |
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h5= |
4,97 |
m |
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h6= |
5,34 |
m |
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h7= |
5,6 |
m |
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h8= |
1,5 |
m |
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h9= |
1,24 |
m |
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h10= |
0,87 |
m |
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h11= |
0,39 |
m |
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L.p |
deltaH/a |
alfa (i) |
sin ALFA(i) |
cos ALFA(i) |
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1 |
2,571 |
68,000 |
0,927 |
0,375 |
|
1,187 |
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2 |
1,500 |
57,000 |
0,839 |
0,545 |
|
0,995 |
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3 |
1,050 |
47,000 |
0,731 |
0,682 |
|
0,820 |
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4 |
0,800 |
39,000 |
0,629 |
0,777 |
|
0,681 |
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5 |
0,600 |
32,000 |
0,530 |
0,848 |
|
0,559 |
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6 |
0,463 |
25,000 |
0,423 |
0,906 |
|
0,436 |
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7 |
0,325 |
19,000 |
0,326 |
0,946 |
|
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 |
-0,325 |
-18,000 |
-0,309 |
0,951 |
|
-0,314 |
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10 |
-0,463 |
-25,000 |
-0,423 |
0,906 |
|
-0,436 |
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11 |
-0,600 |
-31,000 |
-0,515 |
0,857 |
|
-0,541 |
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12 |
-0,757 |
-38,000 |
-0,616 |
0,788 |
|
-0,663 |
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G1 |
20,48 |
kN |
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G2 |
43,35 |
kN |
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G3 |
56,96 |
kN |
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G4 |
66,83 |
kN |
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G5 |
74,31 |
kN |
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G6 |
79,98 |
kN |
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G7 |
84,18 |
kN |
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G8 |
356,80 |
kN |
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G9 |
18,28 |
kN |
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G10 |
14,08 |
kN |
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G11 |
8,41 |
kN |
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G12 |
2,60 |
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 |
20,48 |
0,375 |
7,672 |
0,662 |
5,079 |
0,927 |
18,990 |
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2 |
43,35 |
0,545 |
23,612 |
0,662 |
15,631 |
0,839 |
36,359 |
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3 |
56,96 |
0,682 |
38,848 |
0,662 |
25,717 |
0,731 |
41,659 |
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4 |
66,83 |
0,777 |
51,940 |
0,662 |
34,384 |
0,629 |
42,060 |
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5 |
74,31 |
0,848 |
63,015 |
0,662 |
41,716 |
0,530 |
39,376 |
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6 |
79,98 |
0,906 |
72,483 |
0,662 |
47,984 |
0,423 |
33,799 |
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7 |
84,18 |
0,946 |
79,592 |
0,662 |
52,690 |
0,326 |
27,406 |
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8 |
356,80 |
1,000 |
356,801 |
0,647 |
230,850 |
0,000 |
0,000 |
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9 |
18,28 |
0,951 |
17,383 |
0,647 |
11,247 |
-0,309 |
-5,648 |
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10 |
14,08 |
0,906 |
12,757 |
0,647 |
8,254 |
-0,423 |
-5,949 |
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11 |
8,41 |
0,857 |
7,205 |
0,647 |
4,661 |
-0,515 |
-4,329 |
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12 |
2,60 |
0,788 |
2,050 |
0,647 |
1,326 |
-0,616 |
-1,602 |
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SUMA: |
479,540 |
|
222,122 |
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R= |
7,76 |
m |
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Mo= |
1722,86 |
kNm |
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Mu= |
3719,49 |
kNm |
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m= |
0,7 |
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Mo |
< |
m*Mu |
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|
1722,86 |
< |
2603,63983059959 |
WARUNEK SPEŁNIONY |
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3.0 Sprawdzenie II stanu granicznego: |
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Gn= |
371,48 |
kN |
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qns= |
92,87 |
kPa |
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δD= |
25,02 |
kPa |
|
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 |
|
|
|
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 |
67,85369 |
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|
-1,95 |
1,95 |
0,45 |
1,70 |
32,52 |
28,77 |
0,225 |
0,056 |
0,950 |
23,764725 |
64,4610055 |
107222 |
96500 |
1 |
0,0100 |
0,0301 |
0,040 |
|
-2,40 |
2,40 |
0,45 |
1,70 |
40,02 |
36,27 |
0,675 |
0,169 |
0,860 |
21,51333 |
58,3541734 |
107222 |
96500 |
1 |
0,0090 |
0,0272 |
0,036 |
|
-2,85 |
2,85 |
0,45 |
1,70 |
47,53 |
43,78 |
1,125 |
0,281 |
0,780 |
19,51209 |
52,9258782 |
107222 |
96500 |
1 |
0,0082 |
0,0247 |
0,033 |
|
-3,30 |
3,30 |
0,45 |
2,00 |
56,36 |
51,94 |
1,575 |
0,394 |
0,690 |
17,260695 |
46,8190461 |
107222 |
96500 |
1 |
0,0072 |
0,0218 |
0,029 |
|
-3,75 |
3,75 |
0,45 |
2,00 |
65,19 |
60,77 |
2,025 |
0,506 |
0,620 |
15,50961 |
42,0692878 |
107222 |
96500 |
1 |
0,0065 |
0,0196 |
0,026 |
|
-4,20 |
4,20 |
0,45 |
2,00 |
74,02 |
69,60 |
2,475 |
0,619 |
0,540 |
13,50837 |
36,6409926 |
107222 |
96500 |
1 |
0,0057 |
0,0171 |
0,023 |
|
π, c |
-4,70 |
4,70 |
0,50 |
2,10 |
84,32 |
79,17 |
2,975 |
0,744 |
0,480 |
12,00744 |
32,5697712 |
56167 |
33700 |
1 |
0,0107 |
0,0483 |
0,059 |
|
-5,20 |
5,20 |
0,50 |
2,10 |
94,62 |
89,47 |
3,475 |
0,869 |
0,400 |
10,0062 |
27,141476 |
56167 |
33700 |
1 |
0,0089 |
0,0403 |
0,049 |
|
-5,70 |
5,70 |
0,50 |
2,10 |
104,92 |
99,77 |
3,975 |
0,994 |
0,380 |
9,50589 |
25,7844022 |
56167 |
33700 |
1 |
0,0085 |
0,0383 |
0,047 |
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-6,20 |
6,20 |
0,50 |
2,10 |
115,22 |
110,07 |
4,475 |
1,119 |
0,360 |
9,00558 |
24,4273284 |
56167 |
33700 |
1 |
0,0080 |
0,0362 |
0,044 |
|
-6,70 |
6,70 |
0,50 |
2,10 |
125,52 |
120,37 |
4,975 |
1,244 |
0,320 |
8,00496 |
21,7131808 |
56167 |
33700 |
1 |
0,0071 |
0,0322 |
0,039 |
|
|
-7,20 |
7,20 |
0,50 |
2,10 |
135,82 |
130,67 |
5,475 |
1,369 |
0,280 |
7,00434 |
18,9990332 |
56167 |
33700 |
1 |
0,0062 |
0,0282 |
0,034 |
|
|
-7,70 |
7,70 |
0,50 |
2,10 |
146,12 |
140,97 |
5,975 |
1,494 |
2,600 |
65,0403 |
176,419594 |
56167 |
33700 |
1 |
0,0579 |
0,2618 |
0,320 |
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SUMA: |
0,780 |