17
Zid de sprijin armat cu geogrile H 4m 0.1N s m 4.3m q 15kPa 0.2N s kPa 15.6kPa Caracteristicile terenului din zidul de sprijin Umplutura armata Teren 1 18.5 kN m 3 0.1N s kN m 3 18.8 kN m 3 17.5 kN m 3 0.1N s kN m 3 17.8 kN m 3 1 32° 0.1N s ° 32.3° 28° 0.1N s ° 28.3° c 0 Predimensionare L' H 0.7 3.01m L 4.1m x tan 1 tan () 2 0.585 Cazul i tan pamant_grid () 0.53 -cu geogrila la baza zidului Cazul ii tan () 0.538 -fara geogrila la baza zidului Permanente Variabile G.nef.A1 1.3 .nef.A1 1. G.nef.A2 1 .nef.A2 1. G.fav.A1 1 .fav.A1 0 G.fav.A2 1 .fav.A2 0 Unghiul de frecare interna Greutatea volumica M1 1 M1 1 M2 1.2 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 k a.i M1 tan45deg atan tan pamant_grid () M1 2 2 0.358 P .i.I.a H 2 k a.i M1 1 2 G.nef.A1 79.461 1 m kN P q.i.I.a Hq k a.i M1 .nef.A1 35.99 1 m kN P i.I.a P .i.I.a P q.i.I.a 115.451 1 m kN G i.I.a HL 1 G.fav.A1 331.444 1 m kN Q i.I.a qL .fav.A1 0 N i.I.a G i.I.a Q i.I.a 331.444 1 m kN F f.i.I.a tan pamant_grid ( )N i.I.a 177.985 1 m kN ifF f.i.I.a P i.I.a "corect" "gresit" "corect Fara geogrila la baza zidului k a.ii M1 tan45deg atan tan () M1 2 2 0.357 P .ii.I.a H 2 k a.ii M1 1 2 G.nef.A1 79.259 1 m kN P q.ii.I.a Hq k a.ii M1 .nef.A1 35.898 1 m kN P ii.I.a P .ii.I.a P q.ii.I.a 115.158 1 m kN

Zid de Sprijin Armat Cu Geogrile

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Page 1: Zid de Sprijin Armat Cu Geogrile

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

Page 2: Zid de Sprijin Armat Cu Geogrile

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"

Page 3: Zid de Sprijin Armat Cu Geogrile

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

Page 4: Zid de Sprijin Armat Cu Geogrile

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

Page 5: Zid de Sprijin Armat Cu Geogrile

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"

Page 6: Zid de Sprijin Armat Cu Geogrile

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"

Page 7: Zid de Sprijin Armat Cu Geogrile

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"

Page 8: Zid de Sprijin Armat Cu Geogrile

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

Page 9: Zid de Sprijin Armat Cu Geogrile

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"

Page 10: Zid de Sprijin Armat Cu Geogrile

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"

Page 11: Zid de Sprijin Armat Cu Geogrile

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

Page 12: Zid de Sprijin Armat Cu Geogrile

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

Page 13: Zid de Sprijin Armat Cu Geogrile

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

Page 14: Zid de Sprijin Armat Cu Geogrile

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

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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