γ żelbetu |
25,00 |
kN/m3 |
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Wymiary ściany oporowej: |
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γ Ż |
17,17 |
kN/m3 |
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t= |
0,30 |
m |
grubość ściany |
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a)Obciążenia charakterystyczne: |
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Hs= |
5,20 |
m |
wysokość(naziom + Hposadownienia) |
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G1n |
36,00 |
kN |
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hp= |
1,50 |
m |
posadowienie |
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G2n |
24,00 |
kN |
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Hn= |
3,70 |
m |
wysokość naziomu |
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G3n |
35,00 |
kN |
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B= |
3,50 |
m |
szerokość ściany |
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G4n |
177,15 |
kN |
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h1= |
0,30 |
m |
wysokośc podstawy do skosu |
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G5n |
18,89 |
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= |
16,00 |
kPa |
Obciążenie naziomu |
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B2= |
1,80 |
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= |
39,2 |
2/3φ= |
26,13 |
w stopniach |
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Ka i reszte wyliczyć samemu!! |
Ka= |
0,206 |
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φ= |
0,68 |
2/3φ= |
0,46 |
w radianach |
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Ean0= |
3,296 |
kPa |
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z= |
21,69 |
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= |
64,96 |
kPa |
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Wysokość zaczepienia: |
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he= |
1,96 |
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Składowe pionowe i poziome parcia granicznego: |
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EanV= |
28,61 |
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EanH= |
58,32 |
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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 |
39,60 |
kN |
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0,9 |
32,40 |
kN |
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G2r |
1,1 |
26,40 |
kN |
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0,9 |
21,60 |
kN |
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G3r |
1,1 |
38,50 |
kN |
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0,9 |
31,50 |
kN |
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G4r |
1,1 |
194,86 |
kN |
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0,9 |
159,43 |
kN |
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G5r |
1,1 |
20,78 |
kN |
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0,9 |
17,00 |
kN |
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b) Wartości jednostkowego parcia: |
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Ean0 |
1 |
3,96 |
kN |
γF= |
1,2 |
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1,1 |
4,35 |
kN |
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0,9 |
3,56 |
kN |
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EanH(z) |
1 |
26,03 |
kN |
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1,1 |
28,63 |
kN |
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0,9 |
23,42 |
kN |
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c) Wartości obliczeniowe wypadkowej parcia: |
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Ear |
1 |
77,95 |
kN |
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1,1 |
85,75 |
kN |
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0,9 |
70,16 |
kN |
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EarV |
1 |
34,33 |
kN |
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1,1 |
37,77 |
kN |
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0,9 |
30,90 |
kN |
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EarH |
1 |
69,98 |
kN |
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1,1 |
76,98 |
kN |
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0,9 |
62,98 |
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= |
0,2 |
m |
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e2= |
0,48 |
m |
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e3= |
0 |
m |
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e4= |
-0,85 |
m |
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e5= |
1,25 |
m |
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eh(he)= |
1,96 |
m |
Policzone wcześniej!! |
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er= |
0,05 |
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= |
7,88 |
kNm |
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2.4.2 Wypadkowa obliczeniowa obciązeń pionowych. |
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Nr= |
337,13 |
kN |
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2.4.3 Mimośród względem środka podstawy fundamentu: |
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e= |
0,02 |
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B/6= |
0,58 |
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WARUNEK!! |
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2.4.4 Rozkład naprężeń obliczeniowych pod fundamentem: |
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qrmax= |
100,18 |
kPa |
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qrmin= |
92,46 |
kPa |
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2.4.5 Stopień nierównomiernego rozkładu naprężeń: |
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qrmax/qrmin= |
1,08 |
<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= |
1,75 |
m |
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a4= |
2,6 |
m |
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a5= |
0,5 |
m |
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aV= |
1,70 |
m |
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Mor= |
137,31 |
kNm |
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Mur= |
599,71 |
kNm |
*0,8= |
479,766153027367 |
kNm |
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Mor<0.8*Mur |
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137,31 |
< |
479,766153027367 |
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= |
69,98 |
kN |
μ= |
0,45 |
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Qtf= |
124,125819692879 |
kN |
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mt*Qtf= |
111,713237723591 |
kN |
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69,98 |
< |
111,713237723591 |
kN |
WARUNEK SPEŁNIONY! |
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b) Przesunięcie fundamentu w płaszczyźnie poniżej poziomu posadowienia |
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μ= |
0,519458405845711 |
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27,45 |
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Qtf= |
143,28 |
kN |
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0,479092879672443 |
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mt*Qtf= |
128,96 |
kN |
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69,98 |
< |
128,96 |
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= |
333,70 |
kN |
m= |
0,81 |
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QfnB= |
1038,40 |
kN |
L= |
1 |
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Dmin= |
1,50 |
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m*QfnB= |
841,11 |
kN |
B'= |
3,45 |
m |
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tgδ= |
0,210 |
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tgφ= |
0,519 |
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tgδ/tgφ= |
0,404 |
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Wartości na podst. Tabeli Z1-1 normy |
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ic= |
0,64 |
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id= |
0,66 |
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ib= |
0,45 |
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Nd= |
13,86 |
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Nc= |
24,76 |
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Nb= |
5,01 |
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Cu= |
0 |
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ρd= |
1,485 |
t/m3 |
0,9*ρ |
z tabelki z samego poczatku dla 1 warstwy |
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ρb= |
1,32 |
t/m3 |
|
obliczeniowa średnia gęstość gruntów zalegających poniżej poziomu fundamentu do głębokości =B |
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333,70 |
< |
841,11 |
WARUNEK SPEŁNIONY |
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b) Sorawdzenie warunku nośności dla podłoża wielowarstwowego: |
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h= |
3,00 |
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b= |
1 |
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paramtery geotechniczne gruntu warstwy słabszej: |
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π= |
14,85 |
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B= |
4,50 |
m |
ρb= |
0,95 |
t/m3 |
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Cu= |
25,2 |
kPa |
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ρh= |
1,38 |
średnia gęstość objętościowa gruntu nad podstawą zastepczego fund. I pod podst. Rzeczywistego fund. |
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Nr'= |
516,46 |
kN |
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Mimośród względem środka cuężkości fundamentu zastępczego: |
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eB= |
0,69 |
m |
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tgδ= |
0,149 |
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QfnB'= |
1349,45 |
kN |
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φ= |
14,85 |
stopnie |
dla 2 warswty |
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φ= |
0,259 |
radiany |
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m*QfnB'= |
1093,06 |
kN |
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tgφ= |
0,265145195617322 |
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tgδ/tgφ= |
0,562 |
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Wartości na podst. Tabeli Z1-1 normy |
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ic= |
0,7 |
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id= |
0,89 |
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ib= |
0,55 |
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Nd= |
3,89 |
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Nc= |
10,9 |
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Nb= |
0,57 |
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Cu= |
25,2 |
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ρd= |
1,49 |
t/m3 |
|
z tabelki z samego poczatku dla 1 warstwy |
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ρb= |
1,23 |
t/m4 |
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D'min= |
4,50 |
m |
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B= |
3,13 |
m |
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516,46 |
< |
1093,06 |
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= |
1,74 |
m |
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h2= |
3,01 |
m |
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a1= |
0,69 |
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h3= |
3,86 |
m |
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a2= |
0,9 |
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h4= |
4,47 |
m |
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a3= |
0,2 |
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h5= |
4,91 |
m |
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h6= |
5,2 |
m |
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h7= |
1,5 |
m |
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h8= |
1,2 |
m |
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h9= |
0,77 |
m |
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h10= |
0,16 |
m |
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L.p |
deltaH/a |
alfa (i) |
sin ALFA(i) |
cos ALFA(i) |
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1 |
2,522 |
68,370 |
0,930 |
0,369 |
|
1,193 |
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2 |
1,411 |
54,670 |
0,816 |
0,578 |
|
0,954 |
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3 |
0,944 |
43,350 |
0,686 |
0,727 |
|
0,757 |
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4 |
0,678 |
34,140 |
0,561 |
0,828 |
|
0,596 |
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5 |
0,489 |
26,060 |
0,439 |
0,898 |
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0,455 |
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6 |
0,322 |
17,850 |
0,307 |
0,952 |
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0,312 |
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7 |
0,000 |
0,000 |
0,000 |
1,000 |
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0,000 |
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8 |
-0,333 |
-18,420 |
-0,316 |
0,949 |
|
-0,321 |
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9 |
-0,478 |
-25,550 |
-0,431 |
0,902 |
|
-0,446 |
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10 |
-0,678 |
-34,140 |
-0,561 |
0,828 |
|
-0,596 |
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11 |
-0,800 |
-38,660 |
-0,625 |
0,781 |
|
-0,675 |
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G1 |
21,35 |
kN |
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G2 |
51,10 |
kN |
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39,2 |
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G3 |
67,48 |
kN |
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30,5 |
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G4 |
78,76 |
kN |
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G5 |
86,87 |
kN |
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G6 |
92,51 |
kN |
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G7 |
272,15 |
kN |
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G8 |
20,86 |
kN |
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G9 |
15,22 |
kN |
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G10 |
7,19 |
kN |
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G11 |
0,27 |
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 |
21,35 |
0,369 |
7,869 |
0,816 |
6,421 |
0,930 |
19,844 |
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2 |
51,10 |
0,578 |
29,551 |
0,816 |
24,114 |
0,816 |
41,690 |
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3 |
67,48 |
0,727 |
49,070 |
0,816 |
40,042 |
0,686 |
46,323 |
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4 |
78,76 |
0,828 |
65,189 |
0,816 |
53,194 |
0,561 |
44,202 |
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5 |
86,87 |
0,898 |
78,042 |
0,816 |
63,683 |
0,439 |
38,165 |
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6 |
92,51 |
0,952 |
88,061 |
0,816 |
71,858 |
0,307 |
28,358 |
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7 |
272,15 |
1,000 |
272,149 |
0,589 |
160,296 |
0,000 |
0,000 |
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8 |
20,86 |
0,949 |
19,793 |
0,589 |
11,658 |
-0,316 |
-6,592 |
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9 |
15,22 |
0,902 |
13,733 |
0,589 |
8,089 |
-0,431 |
-6,565 |
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10 |
7,19 |
0,828 |
5,947 |
0,589 |
3,503 |
-0,561 |
-4,033 |
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11 |
0,27 |
0,781 |
0,215 |
0,589 |
0,126 |
-0,625 |
-0,172 |
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12 |
0,00 |
0,000 |
0,000 |
0 |
0,000 |
0,000 |
0,000 |
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SUMA: |
442,982 |
|
201,221 |
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R= |
7,15 |
m |
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Mo= |
1438,73 |
kNm |
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Mu= |
3167,32 |
kNm |
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m= |
0,7 |
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Mo |
< |
m*Mu |
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|
1438,73 |
< |
2217,12538886215 |
WARUNEK SPEŁNIONY |
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3.0 Sprawdzenie II stanu granicznego: |
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Gn= |
291,04 |
kN |
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qns= |
83,15 |
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 |
|
|
|
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 |
58,1375857142857 |
|
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|
-1,95 |
1,95 |
0,45 |
1,70 |
32,52 |
28,77 |
0,225 |
0,064 |
0,950 |
23,764725 |
55,2307064285714 |
107222 |
96500 |
1 |
0,0100 |
0,0258 |
0,036 |
|
-2,40 |
2,40 |
0,45 |
1,70 |
40,02 |
36,27 |
0,675 |
0,193 |
0,860 |
21,51333 |
49,9983237142857 |
107222 |
96500 |
1 |
0,0090 |
0,0233 |
0,032 |
|
-2,85 |
2,85 |
0,45 |
1,70 |
47,53 |
43,78 |
1,125 |
0,321 |
0,780 |
19,51209 |
45,3473168571429 |
107222 |
96500 |
1 |
0,0082 |
0,0211 |
0,029 |
|
-3,30 |
3,30 |
0,45 |
2,00 |
56,36 |
51,94 |
1,575 |
0,450 |
0,690 |
17,260695 |
40,1149341428572 |
107222 |
96500 |
1 |
0,0072 |
0,0187 |
0,026 |
|
-3,75 |
3,75 |
0,45 |
2,00 |
65,19 |
60,77 |
2,025 |
0,579 |
0,620 |
15,50961 |
36,0453031428571 |
107222 |
96500 |
1 |
0,0065 |
0,0168 |
0,023 |
|
-4,20 |
4,20 |
0,45 |
2,00 |
74,02 |
69,60 |
2,475 |
0,707 |
0,540 |
13,50837 |
31,3942962857143 |
107222 |
96500 |
1 |
0,0057 |
0,0146 |
0,020 |
|
π, c |
-4,70 |
4,70 |
0,50 |
2,10 |
84,32 |
79,17 |
2,975 |
0,850 |
0,480 |
12,00744 |
27,9060411428571 |
56167 |
33700 |
1 |
0,0107 |
0,0414 |
0,052 |
|
-5,20 |
5,20 |
0,50 |
2,10 |
94,62 |
89,47 |
3,475 |
0,993 |
0,400 |
10,0062 |
23,2550342857143 |
56167 |
33700 |
1 |
0,0089 |
0,0345 |
0,043 |
|
-5,70 |
5,70 |
0,50 |
2,10 |
104,92 |
99,77 |
3,975 |
1,136 |
0,380 |
9,50589 |
22,0922825714286 |
56167 |
33700 |
1 |
0,0085 |
0,0328 |
0,041 |
|
-6,20 |
6,20 |
0,50 |
2,10 |
115,22 |
110,07 |
4,475 |
1,279 |
0,360 |
9,00558 |
20,9295308571429 |
56167 |
33700 |
1 |
0,0080 |
0,0311 |
0,039 |
|
-6,70 |
6,70 |
0,50 |
2,10 |
125,52 |
120,37 |
4,975 |
1,421 |
0,320 |
8,00496 |
18,6040274285714 |
56167 |
33700 |
1 |
0,0071 |
0,0276 |
0,035 |
|
|
-7,20 |
7,20 |
0,50 |
2,10 |
135,82 |
130,67 |
5,475 |
1,564 |
0,280 |
7,00434 |
16,278524 |
56167 |
33700 |
1 |
0,0062 |
0,0242 |
0,030 |
|
|
-7,70 |
7,70 |
0,50 |
2,10 |
146,12 |
140,97 |
5,975 |
1,707 |
2,600 |
65,0403 |
151,157722857143 |
56167 |
33700 |
1 |
0,0579 |
0,2243 |
0,282 |
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SUMA: |
0,690 |