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Zid de sprijin armat cu geogrile
H 4 m 0.1 Ns m 4.3m
q 15kPa 0.2 Ns kPa 15.6kPa
Caracteristicile terenului din zidul de sprijin
Umplutura armata Teren
1 18.5kN
m3
0.1 NskN
m3
18.8kN
m3
17.5
kN
m3
0.1 NskN
m3
17.8kN
m3
1 32 ° 0.1 Ns ° 32.3° 28 ° 0.1 Ns ° 28.3°
c 0
Predimensionare
L' H 0.7 3.01m
L 4.1 m
xtan 1 tan ( )
20.585
Cazul i tanpamant_grid ( ) 0.537 -cu geogrila la baza zidului
Cazul ii tan ( ) 0.538 -fara geogrila la baza zidului
Permanente Variabile
G.nef.A1 1.35 .nef.A1 1.5
G.nef.A2 1 .nef.A2 1.3
G.fav.A1 1 .fav.A1 0
G.fav.A2 1 .fav.A2 0
Unghiul de frecare internaGreutatea volumica
M1 1 M1 1
M2 1.25 M2 1
Coeficienti partiali pentru parametrii pamantului
Coeficienti partiali pentru actiuni sau efectele actiunilor
Verificarea stabilitatii la alunecare pe talpa
Combinatia 1.a (A1+M1+R1)
Cu geogrila la baza zidului
ka.iM1 tan 45 deg
atantanpamant_grid ( )
M1
2
2
0.358
P.i.I.a H2 ka.iM1
1
2 G.nef.A1 79.461
1
mkN
Pq.i.I.a H q ka.iM1 .nef.A1 35.991
mkNPi.I.a P.i.I.a Pq.i.I.a 115.451
1
mkNGi.I.a H L 1 G.fav.A1 331.444
1
mkNQi.I.a q L .fav.A1 0Ni.I.a Gi.I.a Qi.I.a 331.444
1
mkNFf.i.I.a tanpamant_grid ( ) Ni.I.a 177.985
1
mkNif Ff.i.I.a Pi.I.a "corect" "gresit" "corect"Fara geogrila la baza zidului
ka.iiM1 tan 45 deg
atantan ( )
M1
2
2
0.357P.ii.I.a H2 ka.iiM1
1
2 G.nef.A1 79.259
1
mkNPq.ii.I.a H q ka.iiM1 .nef.A1 35.898
1
mkNPii.I.a P.ii.I.a Pq.ii.I.a 115.158
1
mkN
Combinatia 1.b (A1+M1+R1)
Gii.I.a H L 1 G.fav.A1 331.4441
mkN
Qii.I.a q L .fav.A1 0 kN
Nii.I.a Gii.I.a Qii.I.a 331.4441
mkN
Ff.ii.I.a tan ( ) Nii.I.a 178.4641
mkN
Verificare
if Ff.ii.I.a Pii.I.a "corect" "gresit" "corect"
Combinatia 2.a (A2+M2+R1)
Cu geogrila la baza ziduluika.iM2 tan 45 deg
atantanpamant_grid ( )
M2
2
2
0.434P.i.I.b H2 ka.iM2
1
2 G.nef.A2 71.417
1
mkNPq.i.I.b H q ka.iM2 .nef.A2 37.845
1
mkNPi.I.b P.i.I.b Pq.i.I.b 109.262
1
mkNGi.I.b H L 1 G.fav.A2 331.444
1
mkNQi.I.b q L .fav.A2 0Ni.I.b Gi.I.b Qi.I.b 331.444
1
mkNFf.i.I.b tanpamant_grid ( ) Ni.I.b 177.985
1
mkN
Verificare if Ff.i.I.b Pi.I.b "corect" "gresit" "corect"
Combinatia 2. b (A2+M2+R1)
Fara geogrila la baza zidului
ka.iiM2 tan 45 deg
atantan ( )
M2
2
2
0.433
P.ii.I.b H2 ka.iiM2
1
2 G.nef.A2 71.265
1
mkN
Pq.ii.I.b H q ka.iiM2 .nef.A2 37.7651
mkN
Pii.I.b P.ii.I.b Pq.ii.I.b 109.031
mkN
Gii.I.b H L 1 G.fav.A2 331.4441
mkN
Qii.I.b q L .fav.A2 0 kN
Nii.I.b Gii.I.b Qii.I.b 331.4441
mkNFf.ii.I.b tan ( ) Nii.I.b 178.464
1
mkN
F.f -forta de frecareVerificare if Ff.ii.I.b Pii.I.b "corect" "gresit" "corect"Combinatia 3.a (A1+M2+R3)Cu geogrila la baza ziduluika.iM2 0.434P.i.II.a H2 ka.iM2
1
2 G.nef.A1 96.412
1
mkNPq.i.II.a H q ka.iM2 .nef.A1 43.667
1
mkNPi.II.a P.i.II.a Pq.i.II.a 140.08
1
mkNGi.II.a H L 1 G.fav.A1 331.444
1
mkNQi.II.a q L .fav.A1 0 kN
Ni.II.a Gi.II.a Qi.II.a 331.4441
mkN
Ff.i.II.a tanpamant_grid ( ) Ni.II.a 177.9851
mkN F.f -forta de frecare
Verificare
if Ff.i.II.a Pi.II.a "corect" "gresit" "corect"
Combinatia 3.b (A1+M2+R3)
Fara geogrila la baza zidului
ka.iiM2 0.433
P.ii.II.a H2 ka.iiM2
1
2 G.nef.A1 96.208
1
mkN
Pq.ii.II.a H q ka.iiM2 .nef.A1 43.5751
mkN
Pii.II.a P.ii.II.a Pq.ii.II.a 139.7821
mkN
Gii.II.a H L 1 G.fav.A1 331.4441
mkN
Qii.II.a q L .fav.A1 0Nii.II.a Gii.II.a Qii.II.a 331.4441
mkNFf.ii.II.a tan ( ) Nii.II.a 178.464
1
mkN
F.f -forta de frecareVerificare if Ff.ii.II.a Pii.II.a "corect" "gresit" "corect"Combinatia 4.a (A2+M2+R3)Cu geogrila la baza ziduluika.iM2 0.434P.i.II.b H2 ka.iM2
1
2 G.nef.A2 71.417
1
mkNPq.i.II.b H q ka.iM2 .nef.A2 37.845
1
mkNPi.II.b P.i.II.b Pq.i.II.b 109.262
1
mkN
Gi.II.b H L 1 G.fav.A2 331.4441
mkN
Qi.II.b q L .fav.A2 0
Ni.II.b Gi.II.b Qi.II.b 331.4441
mkN
Ff.i.II.b tanpamant_grid ( ) Ni.II.b 177.9851
mkN F.f -forta de frecare
Verificare
if Ff.i.II.b Pi.II.b "corect" "gresit" "corect"
Combinatia 4.b (A2+M2+R3)
Fara geogrila la baza zidului
ka.iiM2 0.433
P.ii.II.b H2 ka.iiM2
1
2 G.nef.A2 71.265
1
mkN
Pq.ii.II.b H q ka.iiM2 .nef.A2 37.7651
mkN
Pii.II.b P.ii.II.b Pq.ii.II.b 109.031
mkN
Gii.II.b H L 1 G.fav.A2 331.4441
mkN
Qii.II.b q L .fav.A2 1 m 0
Nii.II.b Gii.II.b Qii.II.b 331.4441
mkN
Ff.ii.II.b tan ( ) Nii.II.b 178.4641
mkN F.f -forta de frecare
Verificare if Ff.ii.II.b Pii.II.b "corect" "gresit" "corect"
Combinatia 1 (A1+M1+R1)
VERIFICAREA STABILITATII LA RASTURNARE
Momentul tuturor fortelor fata de centrul bazei,M0
M0.i.I.aH
2P.i.I.a
H Pq.i.I.a
3 222.427
1
mkN m
Rezultanta fortelor verticale, Rv:
Rv.i.I.a Gi.I.a Qi.I.a 331.4441
mkN
L
60.683m
e0.i.I.a
M0.i.I.a
Rv.i.I.a0.671m
if e0.i.I.aL
6 "corect" "gresit"
"corect"
Combinatia 2(A2+M1+R1)
Momentul tuturor fortelor fata de centrul bazei,M0
M0.ii.I.aH
2P.ii.I.a
H Pq.ii.I.a
3 221.862
1
mkN m
Rezultanta fortelor verticale, Rv:
Rv.ii.I.a Gii.I.a Qii.I.a 331.4441
mkN
L
60.683m
e0.ii.I.a
M0.ii.I.a
Rv.ii.I.a0.669m
if e0.ii.I.aL
6 "corect" "gresit"
"corect"
Combinatia 3(A1+M2+R3) Momentul tuturor fortelor fata de centrul bazei,M0
M0.i.I.bH
2P.i.I.b
H Pq.i.I.b
3 207.79
1
mkN m
Rezultanta fortelor verticale, Rv:
Rv.i.I.b Gi.I.b Qi.I.b 331.4441
mkN
L
60.683m
e0.i.I.b
M0.i.I.b
Rv.i.I.b0.627m
if e0.i.I.bL
6 "corect" "gresit"
"corect"
Combinatia 4(A2+M2+R3)
Momentul tuturor fortelor fata de centrul bazei,M0
M0.ii.I.bH
2P.ii.I.b
H Pq.ii.I.b
3 207.349
1
mkN m
Rezultanta fortelor verticale, Rv:
Rv.ii.I.b Gii.I.b Qii.I.b 331.4441
mkN
L
60.683m
e0.ii.I.b
M0.ii.I.b
Rv.ii.I.b0.626m
if e0.ii.I.bL
6 "corect" "gresit"
"corect"
VERIFICARE PRESIUNILOR PE TEREN
Combinatia 1 (A1+M1+R1)
Presiunea pe baza.: c 1 m
v.i.I.a
Rv.i.I.a
L 2 e0.i.I.a120.183kPa
22.30
25
27.30
30
N
2.7
4.1
6.1
9.0
:Dm 1 m
x 28.3
interp pspline N N x 7.116
N. interp pspline N N x
pcr 0.5 L N. 259.647kPa
pcr.f pcr Dm 277.447kPa
if v.i.I.a pcr.f "corect" "gresit" "corect"
Combinatia 2(A2+M1+R1)
Presiunea pe baza.:
v.ii.I.a
Rv.ii.I.a
L 2 e0.ii.I.a120.034kPa
22.30
25
27.30
30
N
2.7
4.1
6.1
9.0
Unghi :
x 28.4
interp pspline N N x 7.221
N. interp pspline N N x
pcr 0.5 L N. 263.491kPa
pcr.f pcr Dm 281.291kPa
if v.ii.I.a pcr.f "corect" "gresit" "corect"
Combinatia 3(A1+M2+R3)
Presiunea pe baza.:
v.i.I.b
Rv.i.I.b
L 2 e0.ii.I.a120.034kPa
22.30
25
27.30
30
N
2.7
4.1
6.1
9.0
Unghi :
x 28.4
interp pspline N N x 7.221
N. interp pspline N N x
pcr 0.5 L N. 263.491kPa
pcr.f pcr Dm 281.291kPa
if v.ii.I.a pcr.f "corect" "gresit" "corect"
Combinatia 4(A2+M2+R3)
Presiunea pe baza.:
v.ii.I.b
Rv.ii.I.b
L 2 e0.ii.I.a120.034kPa
22.30
25
27.30
30
N
2.7
4.1
6.1
9.0
Unghi :
x 28.4
interp pspline N N x 7.221
N. interp pspline N N x
pcr 0.5 L N. 263.491kPa
pcr.f pcr Dm 281.291kPa
if v.ii.I.a pcr.f "corect" "gresit" "corect"
Verificare armaturilor la rupere si smulgere
Combinatia 1(A1+M1+R1)
γ1= 18.8 kN/mc γGnefA1= 1.35
Tk= 40 kN/m γGnefA2= 1
Td= 22.73 kN/m γQnefA1= 1.5
Ka= 0.358 γQnefA2= 1.3
L= 4.1 m
H= 4.3 m
q= 15.6 kN/mp
Q= 95.94 kN
γ= 17.8 kN/mc
svi= 0.4 m
Cota(m) Gi (kN) Rvi Pγi Pqi M0i ei L-2ei σvi svi Ti1
0.4 41.6232 137.563 0.50979 2.23392 0.51476 0.00374 4.09252 33.6134 2.28821 4.8134
0.8 83.2464 179.186 2.03917 4.46784 2.33091 0.01301 4.07398 43.9831 1.72661 6.2984
1.2 124.87 220.81 4.58813 6.70176 5.85631 0.02652 4.04696 54.5619 1.38636 7.8133
1.6 166.493 262.433 8.15667 8.93568 11.4988 0.04382 4.01237 65.406 1.15813 9.3661
2 208.116 304.056 12.7448 11.1696 19.6661 0.06468 3.97064 76.576 0.99442 10.966
2.4 249.739 345.679 18.3525 13.4035 30.7662 0.089 3.922 88.1386 0.87127 12.621
2.8 291.362 387.302 24.9798 15.6374 45.2069 0.11672 3.86656 100.167 0.77525 14.344
3.2 332.986 428.926 32.6267 17.8714 63.396 0.1478 3.8044 112.745 0.6983 16.145
3.6 374.609 470.549 41.2932 20.1053 85.7413 0.18222 3.73557 125.964 0.63525 18.038
4 416.232 512.172 50.9792 22.3392 112.651 0.21995 3.66011 139.934 0.58264 20.038
4.3 447.449 543.389 58.9128 24.0146 136.073 0.25042 3.59917 150.976 0.54856 21.62
Cota(m) fsm Til Lpi X
0.3 1.3 4.44598 1.79 0.33782
0.7 1.3 5.92464 2.02 0.29461
1.1 1.3 7.43131 2.25 0.26299
1.5 1.3 8.97389 2.48 0.23866
1.9 1.3 10.5609 2.71 0.21937
2.3 1.3 12.2017 2.95 0.20307
2.7 1.3 13.9065 3.18 0.19038
3.1 1.3 15.6867 3.41 0.17988
3.5 1.3 17.5554 3.64 0.17117
3.9 1.3 19.5274 3.87 0.16393
4.3 1.3 21.6198 4.1 0.15796
Combinatia 2(A2+M2+R1)
γ1= 18.8 kN/mc γGnefA1= 1.35
Tk= 40 kN/m γGnefA2= 1
Td= 22.73 kN/m γQnefA1= 1.5
Ka= 0.357 γQnefA2= 1.3
L= 4.1 m
H= 4.3 m
q= 15.6 kN/mp
Q= 95.94 kN
γ= 17.8 kN/mc
svi= 0.4 m
Cota(m) Gi (kN) Rvi Pγi Pqi M0i ei L-2ei σvi svi Ti1
0.4 41.6232 137.563 0.50837 2.22768 0.51332 0.00373 4.09254 33.6132 2.29462 4.79996
0.8 83.2464 179.186 2.03347 4.45536 2.3244 0.01297 4.07406 43.9823 1.73145 6.28067
1.2 124.87 220.81 4.57531 6.68304 5.83995 0.02645 4.0471 54.5599 1.39024 7.79115
1.6 166.493 262.433 8.13389 8.91072 11.4666 0.04369 4.01261 65.402 1.16137 9.3394
2 208.116 304.056 12.7092 11.1384 19.6112 0.0645 3.971 76.5691 0.99721 10.9341
2.4 249.739 345.679 18.3012 13.3661 30.6803 0.08875 3.92249 88.1274 0.87371 12.5846
2.8 291.362 387.302 24.91 15.5938 45.0806 0.1164 3.86721 100.15 0.77743 14.3015
3.2 332.986 428.926 32.5356 17.8214 63.2189 0.14739 3.80522 112.72 0.70026 16.0965
3.6 374.609 470.549 41.1778 20.0491 85.5018 0.18171 3.73659 125.93 0.63703 17.9828
4 416.232 512.172 50.8368 22.2768 112.336 0.21933 3.66133 139.887 0.58427 19.9758
4.3 447.449 543.389 58.7483 23.9476 135.693 0.24972 3.60057 150.918 0.5501 21.551
Cota(m) fsm Til Lpi X
0.4 1.3 4.79996 1.79 0.33506
0.8 1.3 6.28067 2.02 0.29315
1.2 1.3 7.79115 2.25 0.26215
1.6 1.3 9.3394 2.48 0.23816
2 1.3 10.9341 2.71 0.21909
2.4 1.3 12.5846 2.95 0.20296
2.8 1.3 14.3015 3.18 0.19039
3.2 1.3 16.0965 3.41 0.18
3.6 1.3 17.9828 3.64 0.17137
4 1.3 19.9758 3.87 0.16422
4.3 1.3 21.551 4.1 0.15746
Combinatia 3(A1+M2+R3)
γ1= 18.8 kN/mc γGnefA1= 1.35
Tk= 40 kN/m γGnefA2= 1
Td= 22.73 kN/m γQnefA1= 1.5
Ka= 0.434 γQnefA2= 1.3
L= 4.1 m
H= 4.3 m
q= 15.6 kN/mp
Q= 83.148 kN
γ= 17.8 kN/mc
svales= 0.4 m
Cota(m) Gi (kN) Rvi Pγi Pqi M0i ei L-2ei σvi svi Ti1
0.4 33.088 116.236 0.61802 2.70816 0.62403 0.00537 4.08926 28.4247 1.88751 4.93453
0.8 66.176 149.324 2.47206 5.41632 2.82575 0.01892 4.06215 36.7598 1.42425 6.3815
1.2 99.264 182.412 5.56214 8.12448 7.09955 0.03892 4.02216 45.3518 1.14358 7.87307
1.6 132.352 215.5 9.88826 10.8326 13.9398 0.06469 3.97063 54.2735 0.95532 9.42189
2 165.44 248.588 15.4504 13.5408 23.8411 0.09591 3.90819 63.607 0.82028 11.0422
2.4 198.528 281.676 22.2486 16.249 37.2976 0.13241 3.83517 73.4454 0.71869 12.7501
2.8 231.616 314.764 30.2828 18.9571 54.8039 0.17411 3.75178 83.8973 0.6395 14.5646
3.2 264.704 347.852 39.553 21.6653 76.8543 0.22094 3.65812 95.0904 0.57602 16.5077
3.6 297.792 380.94 50.0593 24.3734 103.943 0.27286 3.55428 107.178 0.52401 18.6061
4 330.88 414.028 61.8016 27.0816 136.565 0.32985 3.44031 120.346 0.48061 20.8921
4.3 355.696 438.844 71.4195 29.1127 164.96 0.3759 3.34821 131.068 0.4525 22.7535
Cota(m) fsm Til Lpi X
0.4 1.3 4.93453 1.79 0.34446
0.8 1.3 6.3815 2.02 0.29786
1.2 1.3 7.87307 2.25 0.2649
1.6 1.3 9.42189 2.48 0.24027
2 1.3 11.0422 2.71 0.22126
2.4 1.3 12.7501 2.95 0.20563
2.8 1.3 14.5646 3.18 0.19389
3.2 1.3 16.5077 3.41 0.1846
3.6 1.3 18.6061 3.64 0.17731
4 1.3 20.8921 3.87 0.17176
4.3 1.3 22.7535 4.1 0.16624
Combinatia 4(A2+M2+R3)
γ1= 18.8 kN/mc γGnefA1= 1.35
Tk= 40 kN/m γGnefA2= 1
Td= 22.73 kN/m γQnefA1= 1.5
Ka= 0.433 γQnefA2= 1.3
L= 4.1 m
H= 4.3 m
q= 15.6 kN/mp
Q= 83.148 kN
γ= 17.8 kN/mc
svi= 0.5 m
Cota(m) Gi (kN) Rvi Pγi Pqi M0i ei L-2ei σvi svi Ti1
0.4 33.088 116.236 0.61659 2.70192 0.6226 0.00536 4.08929 28.4245 1.89187 4.92313
0.8 66.176 149.324 2.46637 5.40384 2.81923 0.01888 4.06224 36.759 1.42754 6.36666
1.3 107.536 190.684 6.51275 8.78124 8.53 0.04473 4.01053 47.5458 1.09241 8.23493
1.8 148.896 232.044 12.486 12.1586 18.4344 0.07944 3.94111 58.8778 0.88471 10.1976
2.3 190.256 273.404 20.3861 15.536 33.4958 0.12251 3.85497 70.9224 0.74337 12.2838
2.8 231.616 314.764 30.213 18.9134 54.6776 0.17371 3.75258 83.8794 0.64097 14.5279
3.3 272.976 356.124 41.9668 22.2908 82.9434 0.23291 3.63419 97.9927 0.56337 16.9723
3.8 314.336 397.484 55.6474 25.6682 119.256 0.30003 3.49994 113.569 0.50253 19.6701
4.3 355.696 438.844 71.2549 29.0456 164.58 0.37503 3.34994 131.001 0.45355 22.6893
Cota(m) fsm Til Lpi X
0.3 1.3 4.56781 1.79 0.34708
0.8 1.3 6.36666 2.02 0.29717
1.3 1.3 8.23493 2.25 0.26407
1.8 1.3 10.1976 2.48 0.24027
2.3 1.3 12.2838 2.71 0.22255
2.8 1.3 14.5279 2.95 0.20848
3.3 1.3 16.9723 3.18 0.19859
3.8 1.3 19.6701 3.41 0.19145
4.3 1.3 22.6893 3.64 0.18672