TEMAT : PARCIE GRANICZNE GRUNTU NA ŚCIANY OPOROWE |
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(GRUNT UWARSTWIONY) |
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AUTORZY : MAREK JÓŹWIAK |
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MIROSŁAW KARECKI |
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Program służy do wyznaczania parcia gruntu uwarstwionego na ścianę oporową |
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i wyznaczania maksymalnych momentów obracających i minimalnych momentów utrzymujących |
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Obliczenia wykonane są według PN-83/B-03010 "ŚCIANY OPOROWE"-obliczenia statyczne i projektowanie |
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INFORMACJE DLA UŻYTKOWNIKA |
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komórki oznaczone kolorem żółtym służą do wprowadzania danych |
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komórki oznaczone kolorem zielonym oznaczają wyniki |
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OZNACZENIA |
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g - ciężar objętościowy gruntu |
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f - kąt tarcia wewnętrznego gruntu |
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h - grubość warstwy |
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c - spójność gruntu |
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H - całkowita wysokość ściany |
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WZORY DO OBLICZEŃ |
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Ka - współczynnik parcia granicznego (czynnego) |
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Ka=tg2(45-f/2) |
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Kp - współczynnik odporu granicznego (parcia biernego) |
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Kp=tg2(45+f/2) |
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Kp=1/Ka |
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A./ dla naziomu nieobciążonego |
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grunt niespoisty |
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grunt spoisty |
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ea - jednostkowe parcie graniczne (czynne) |
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ea=g*z Ka |
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ea=g*z Ka-2c*Ka-1/2 |
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ep - jednostkowy odpór graniczny (parcie bierne) |
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ep=g*z*Kp |
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ep=g*z Kp+2c*Kp-1/2 |
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Ea - wypadkowa parcia granicznego (czynnego) |
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Ea=g*H2/2*Ka |
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Ea=g*H2/2*Ka-2c*Ka-1/2+2c2/g |
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Ep - wypadkowa odpóru granicznego (parcia biernego) |
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Ep=g*H2/2*Kp |
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Ep=g*H2/2*Kp+2c*Kp-1/2 |
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TABELA DANYCH |
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Rodzaj gruntu |
Głębokość warstwy [m] |
Grubość warstwy [m] |
g [kN/m] |
f [o] |
c [kPa] |
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WARSTWA 1 |
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piasek drobny |
0 |
1.5 |
19 |
30 |
0 |
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1.5 |
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WARSTWA 2 |
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glina pylasta |
1.5 |
2 |
20.5 |
15 |
20 |
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3.5 |
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WARSTWA 3 |
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pospółka |
3.5 |
1.5 |
20.7 |
35 |
0 |
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5 |
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WARSTWA 4 |
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ił piaszczysty |
5 |
2 |
25 |
8 |
35 |
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7 |
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WARSTWA 5 |
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piasek gruby |
7 |
3.2 |
18.5 |
32 |
0 |
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10.2 |
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TABELA WYNIKÓW |
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PARCIE CZYNNE |
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Ka |
Ka-1/2 |
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eai [kPa] |
Ea |
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WARSTWA 1 |
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0.333 |
0.000 |
na górze |
0 |
7.125 |
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na dole |
9.5 |
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WARSTWA 2 |
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0.589 |
0.767 |
na górze |
-13.913 |
32.472 |
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na dole |
10.228 |
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WARSTWA 3 |
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0.271 |
0.000 |
na górze |
18.834 |
6.311 |
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na dole |
27.248 |
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WARSTWA 4 |
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0.756 |
0.869 |
na górze |
15.131 |
74.933 |
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na dole |
52.914 |
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WARSTWA 5 |
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0.307 |
0.000 |
na górze |
46.258 |
29.104 |
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na dole |
64.447 |
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SUMA |
149.944 |
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Wysokość ściany |
H= |
10.5 |
m |
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MOMENT DZIAŁAJĄCY NA DOLNEJ KRAWĘDZI ŚCIANY |
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od parcia czynnego |
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M= |
815.861439855941 |
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SIŁA POPRZECZNA DZIAŁAJĄCA NA DOLNEJ KRAWĘDZI ŚCIANY |
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od parcia czynnego |
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Q= |
149.944 |
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B./ dla naziomu obciążonego |
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grunt niespoisty |
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grunt spoisty |
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ea - jednostkowe parcie graniczne (czynne) |
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ea=(g*z+q) Ka |
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ea=(g*z+q )Ka-2c*Ka-1/2 |
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ep - jednostkowy odpór graniczny (parcie bierne) |
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ep=(g*z+q)*Kp |
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ep=(g*z+q) Kp+2c*Kp-1/2 |
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Ea - wypadkowa parcia granicznego (czynnego) |
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Ea=(g*h2/2+q*h)*Ka |
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Ea=(g*h2/2+q*h)*Ka-2c*Ka-1/2+2c2/g |
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Ep - wypadkowa odpóru granicznego (parcia biernego) |
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Ep=(g*h2/2+q*h)*Kp |
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Ep=(g*h2/2+q*h)*Kp+2c*Kp-1/2 |
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obciążenie zewnętrzne |
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q= |
30 |
kPa |
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TABELA DANYCH |
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Rodzaj gruntu |
Głębokość warstwy [m] |
Grubość warstwy [m] |
g [kN/m] |
f [o] |
c [kPa] |
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WARSTWA 1 |
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piasek drobny |
0 |
1.5 |
19 |
30 |
0 |
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1.5 |
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WARSTWA 2 |
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glina pylasta |
1.5 |
2 |
20.5 |
15 |
20 |
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3.5 |
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WARSTWA 3 |
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pospółka |
3.5 |
1.5 |
20.7 |
35 |
0 |
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5 |
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WARSTWA 4 |
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ił piaszczysty |
5 |
2 |
25 |
8 |
35 |
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7 |
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WARSTWA 5 |
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piasek gruby |
7 |
3.2 |
18.5 |
32 |
0 |
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10.2 |
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TABELA WYNIKÓW |
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PARCIE CZYNNE |
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Ka |
Ka-1/2 |
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eai [kPa] |
Ea |
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WARSTWA 1 |
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0.333 |
0.000 |
na górze |
0 |
22.125 |
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na dole |
19.5 |
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WARSTWA 2 |
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0.589 |
0.767 |
na górze |
3.751 |
67.799 |
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na dole |
27.892 |
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WARSTWA 3 |
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0.271 |
0.000 |
na górze |
26.964 |
18.505 |
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na dole |
35.378 |
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WARSTWA 4 |
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0.756 |
0.869 |
na górze |
37.801 |
120.272 |
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na dole |
75.584 |
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WARSTWA 5 |
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0.307 |
0.000 |
na górze |
55.476 |
58.600 |
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na dole |
73.665 |
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SUMA |
287.302 |
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Wysokość ściany |
H= |
10.5 |
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MOMENT DZIAŁAJĄCY NA DOLNEJ KRAWĘDZI ŚCIANY |
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od parcia czynnego |
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M= |
1630.43821069249 |
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SIŁA POPRZECZNA DZIAŁAJĄCA NA DOLNEJ KRAWĘDZI ŚCIANY |
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od parcia czynnego |
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Q= |
287.302 |
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