Proracun Naprezanja i Deformacija (Q+RMR)_novo

Nadsloj h (m)

200.00

ρ (kg/m3)

2650.00

ν

0.300

σC (MPa)

15.00

E (MPa)

2600.00

ri (m)

10.000

RMR

12

Q

1.000

VRSTA STIJENSKE MASE (1,2,3,4,5)

5

VRSTE STIJENSKE MASE

1 Karbonatne stijene sa dobro razvijenim kristralnim kilvaţom: VAPNENCI, DOLOMITI, MRAMORI

2 Okamenjene glinovite stijene: PRAŠINAC, SILITITI, GLINENCI, ŠKRILJCI, LAPORI

EMPIRIJSKE KONSTANTE STIJENSKE MASE (po Q) m

3.38300000

s

0.00198000

mr

0.45800000

sr

0.00009000

EMPIRIJSKE KONSTANTE STIJENSKE MASE (po RMR) m

1.14515000

s

0.00009650

mr

0.05965000

sr

0.00000141

TU KLIKNI

3 Arenitne stijene sa jakim kristalima i slabo razvijenim kristalnim klivaţom: PJEŠĈENJAK, KVARCIT

4

5

Finozrnate polimineralne magmatske stijene, kristalizirane stijene: ANDEZITI, DOLERITI, DIABAZI, RIOLITI

Krupnozrnate polimineralne magmatske i metamorfne kristalizirane stijene: AMFIBOLITI, GRABOVI, GNAJSEVI, GRANITI, NORITI, KVARCDIORITI

Mlazni beton EB (MPa)

μB

ri (m)

tB (m)

KB (MPa)

бB (MPa)

pB max (MPa)

uB max (m)

uB max (cm)

30000.00

0.20

10.00

0.50

1622.296

25.00

1.219

0.0075125000

0.7513

ES (MPa)

dS (m)

ri (m)

210000

0.025

Sidra 2

AS (m )

L (m)

SC (m)

Si (m)

KS (MPa)

pS max (MPa)

uS max (m)

uS max (cm)

10.00

0.000490874

10.00

2.00

1.00

51.542

0.1000

0.01940

1.940

Eĉ (MPa)

razmak lukova (m)

ri (m)

tĈ (m)

KĈL (MPa)

pĈL max

uĈL max (m)

uĈL max (cm)

210000

2.00

10.00

0.00135

28.352

0.040

0.01407

1.407

Čelični lukovi

PODGRADNI SUSTAV UKUPNO Kukupno (MPa)

umax (cm)

pmax (MPa)

1702.190

0.7513

1.279

STACIONAŢA OD 0+100.00 DO 0+130.00 PRORAĈUN RADIJALNOG NAPREZANJA I RADIJALNOG POMAKA PODGRADNOG SUSTAVA

h (m)

p0 (MPa)

G (MPa)

M

m

mr

200.00

5.1993

1000

0.264491082

3.383000

0.458000

ρ (kg/m3)

ν

σC (MPa)

E (MPa)

s

sr

2650.00

0.30

15.00

2600.00

0.001980

0.0000900

N

f

pk (MPa)

uk (mm)

ri (m)

re (m)

pi (MPa) ZIDOVI

0.847389611

4.197650347

1.231933771

19.836831147

10.00

10.167 10.333 10.500 10.667 10.833 11.000 11.167 11.333 11.500 11.667 11.833 12.000 12.167 12.333 12.500 12.667 12.833 13.000 13.167 13.333 13.500 13.667 13.833 14.000 14.167 14.333 14.500 14.667 14.833 15.000 15.167 15.333 15.500 15.667 15.833 16.000 16.167 16.333 16.500 16.667 16.833 17.000 17.167 17.333 17.500 17.667 17.833 18.000 18.167 18.333 18.500 18.667 18.833 19.000 19.167 19.333 19.500 19.667 19.833 20.000

1.18269 1.13674 1.09241 1.04963 1.00835 0.96851 0.93005 0.89292 0.85707 0.82245 0.78902 0.75673 0.72555 0.69543 0.66633 0.63823 0.61109 0.58487 0.55955 0.53510 0.51148 0.48867 0.46665 0.44538 0.42485 0.40504 0.38591 0.36746 0.34965 0.33248 0.31591 0.29994 0.28455 0.26971 0.25542 0.24166 0.22841 0.21566 0.20340 0.19160 0.18027 0.16938 0.15893 0.14890 0.13929 0.13007 0.12124 0.11280 0.10473 0.09702 0.08966 0.08264 0.07596 0.06961 0.06357 0.05785 0.05243 0.04730 0.04247 0.03791

ZNAĈENJE POJEDINIH IZRAZA

h p0 G E ν σC ρ ri re pk uk pi ui m, s mr, sr M N, f

nadsloj (m) geostatiĉko naprezanje (Mpa) modul posmika (Mpa) modul elastiĉnosti (Mpa) Poisson-ov koeficijent jednoosna tlaĉna ĉvrstoća (Mpa) gustoća (kg/m3) radijus iskopa (m) radijus re=ri +n kritiĉna ĉvrstoća (Mpa) kritiĉni pomak (mm) ĉvrstoća podgrade(Mpa) pomak podgrade (mm) empirijske konstante stijenske mase koeficijenti za proraĉun u podruĉiju elastiĉnih / plastiĉnih

Tablica 4.7. Proraĉun karakteristiĉnih krivulja stijenske mase i podgrade

ĈVRSTOĆA PODGRADNOG SUSTAVA

POMAK PODGRADNOG SUSTAVA

PODNOŢNI SVOD

pi (MPa) KALOTA

ui (cm)

1.1784 1.1281 1.0794 1.0323 0.9867 0.9425 0.8997 0.8583 0.8181 0.7791 0.7414 0.7047 0.6692 0.6348 0.6013 0.5689 0.5374 0.5069 0.4772 0.4484 0.4205 0.3934 0.3670 0.3414 0.3165 0.2924 0.2689 0.2461 0.2240 0.2025 0.1816 0.1613 0.1416 0.1224 0.1038 0.0857 0.0681 0.0510 0.0344 0.0183 0.0026 -0.0126 -0.0274 -0.0417 -0.0557 -0.0692 -0.0824 -0.0952 -0.1076 -0.1196 -0.1313 -0.1427 -0.1537 -0.1644 -0.1747 -0.1848 -0.1945 -0.2040 -0.2132 -0.2221

1.18702 1.14540 1.10541 1.06696 1.03002 0.99451 0.96038 0.92758 0.89606 0.86578 0.83668 0.80872 0.78187 0.75608 0.73132 0.70756 0.68475 0.66286 0.64188 0.62175 0.60247 0.58399 0.56630 0.54937 0.53317 0.51769 0.50290 0.48877 0.47530 0.46246 0.45023 0.43859 0.42753 0.41703 0.40707 0.39764 0.38872 0.38030 0.37237 0.36491 0.35791 0.35136 0.34524 0.33954 0.33426 0.32938 0.32488 0.32077 0.31703 0.31365 0.31063 0.30795 0.30560 0.30358 0.30187 0.30048 0.29939 0.29860 0.29810 0.29788

2.0521604 2.1255155 2.2040087 2.2879098 2.3774981 2.4730626 2.5749022 2.6833260 2.7986535 2.9212145 3.0513495 3.1894101 3.3357587 3.4907690 3.6548261 3.8283267 4.0116795 4.2053048 4.4096355 4.6251165 4.8522055 5.0913727 5.3431017 5.6078886 5.8862433 6.1786890 6.4857627 6.8080153 7.1460116 7.5003308 7.8715668 8.2603279 8.6672373 9.0929334 9.5380697 10.0033154 10.4893550 10.9968892 11.5266345 12.0793239 12.6557066 13.2565486 13.8826327 14.5347588 15.2137439 15.9204227 16.6556473 17.4202877 18.2152322 19.0413871 19.8996772 20.7910460 21.7164558 22.6768882 23.6733437 24.7068426 25.7784247 26.8891498 28.0400978 29.2323687

pi (MPa)

STACIONAŢA OD 0+020.00 DO 0+031.00; OD 0+109.00 DO 0+121.00; PODGRADA TIP 5-KTPV POREMEĆENA STIJENSKA MASA (rezidualne vrijednosti )

ORIGINALNA STIJENSKA MASA (vršne vrijednosti)

ULAZNI PODACI ZA PRORAĈUN

h

σ3 REZIDUALNO (MPa)

σ1 VRŠNO (MPa)

T (MPa)

Φ'i (°)

θ

h

σ3 VRŠNO (MPa)

nadsloj (m)

ρ (kg/m3)

ν

Q

59.9672368

1.0000010

-0.0029463

0.0000000

0.0000716

88.3806640

59.9867856

1.0000002

-0.0087777

200.00

2650.00

0.300

1

47.5696551

1.1647025

0.2092099

3.4834888

0.4987038

59.8450954

55.1159596

1.0222854

0.2032595

36.7674884

43.5742856

1.3294041

0.4213661

5.0542332

0.8262833

54.6930987

53.1673300

1.0445707

0.4152967

p0 (MPa)

σC (MPa)

mr

sr

0.6082280

32.8572546

41.0664871

1.4941057

0.6335223

6.3088441

1.1073392

51.3890759

51.7202061

1.0668559

0.6273339

5.1993

15.00

0.458

0.00009000

0.7378411

30.1121350

39.3029205

1.6588072

0.8456785

7.3998121

1.3610736

48.9230923

50.5385843

1.0891412

0.8393711

3.7573854

0.8555752

28.0208047

37.9867944

1.8235088

1.0578347

8.3862030

1.5958120

46.9465003

49.5297001

1.1114264

1.0514083

E (MPa)

ri (m)

m

s

4.2272002

0.9644107

26.3471466

36.9659469

1.9882103

1.2699908

9.2983095

1.8161662

45.2940096

48.6452990

1.1337117

1.2634455

2600.00

10

3.383

0.00198000

4.6762980

1.0662221

24.9624403

36.1517389

2.1529119

1.4821470

10.1541270

2.0250442

43.8732598

47.8563182

1.1559969

1.4754827

5.1089940

1.1622879

23.7888104

35.4882465

2.3176135

1.6943032

10.9653803

2.2244359

42.6270470

47.1435681

1.1782822

1.6875199

5.5282858

1.2535301

22.7756171

34.9381689

2.4823150

1.9064594

11.7402136

2.4157822

41.5173299

46.4935485

1.2005674

1.8995570

5.9363557

1.3406413

21.8881320

34.4755725

2.6470166

2.1186156

12.4845566

2.6001709

40.5174525

45.8963103

1.2228527

2.1115942

6.3348513

1.4241589

21.1015411

34.0818312

2.8117181

2.3307718

13.2028858

2.7784501

39.6079716

45.3442564

1.2451379

2.3236314

6.7250526

1.5045104

20.3975270

33.7432097

2.9764197

2.5429280

13.8986789

2.9512980

38.7742462

44.8314209

1.2674232

2.5356686

7.1079774

1.5820430

19.7622032

33.4493555

3.1411213

2.7550842

14.5747017

3.1192681

38.0049622

44.3530119

1.2897084

2.7477058

7.4844510

1.6570432

19.1848060

33.1923183

3.3058228

2.9672404

15.2331964

3.2828203

37.2911869

43.9051082

1.3119937

2.9597430

7.8551538

1.7297515

18.6568347

32.9658947

3.4705244

3.1793966

15.8760112

3.4423419

36.6257389

43.4844502

1.3342789

3.1717802

8.2206540

1.8003715

18.1714664

32.7651751

3.6352259

3.3915528

16.5046905

3.5981633

36.0027545

43.0882930

1.3565642

3.3838174

8.5814325

1.8690782

17.7231486

32.5862262

3.7999275

3.6037090

17.1205409

3.7505694

35.4173815

42.7142977

1.3788494

3.5958546

8.9379004

1.9360228

17.3073061

32.4258612

3.9646291

3.8158652

17.7246790

3.8998081

34.8655578

42.3604527

1.4011347

3.8078918

9.2904122

2.0013373

16.9201287

32.2814728

4.1293306

4.0280214

18.3180685

4.0460970

34.3438469

42.0250120

1.4234199

4.0199289

9.6392766

2.0651379

16.5584122

32.1509083

4.2940322

4.2401776

18.9015476

4.1896282

33.8493156

41.7064492

1.4457052

4.2319661

9.9847639

2.1275273

16.2194387

32.0323760

4.4587337

4.4523338

19.4758511

4.3305727

33.3794391

41.4034205

1.4679904

4.4440033

10.3271127

2.1885970

15.9008845

31.9243733

4.6234353

4.6644900

20.0416271

4.4690837

32.9320285

41.1147358

1.4902757

4.6560405

10.6665348

2.2484288

15.6007492

31.8256316

4.7881369

4.8766462

20.5994509

4.6052987

32.5051730

40.8393355

1.5125609

4.8680777

11.0032189

2.3070964

15.3172995

31.7350728

4.9528384

5.0888024

21.1498358

4.7393422

32.0971952

40.5762713

1.5348462

5.0801149

11.3373346

2.3646663

15.0490243

31.6517757

5.1175400

5.3009586

21.6932422

4.8713270

31.7066135

40.3246911

1.5571314

5.2921521

11.6690346

2.4211989

14.7945995

31.5749484

5.2822415

5.5131148

22.2300849

5.0013562

31.3321136

40.0838257

1.5794167

5.5041893

11.9984569

2.4767492

14.5528588

31.5039072

5.4469431

5.7252710

22.7607391

5.1295240

30.9725233

39.8529785

1.6017019

5.7162265

12.3257270

2.5313673

14.3227701

31.4380586

5.6116447

5.9374272

23.2855457

5.2559167

30.6267932

39.6315164

1.6239872

5.9282637

12.6509592

2.5850994

14.1034163

31.3768855

5.7763462

6.1495834

23.8048152

5.3806141

30.2939799

39.4188621

1.6462724

6.1403008

12.9742581

2.6379877

13.8939791

31.3199351

5.9410478

6.3617396

24.3188317

5.5036896

29.9732321

39.2144877

1.6685577

6.3523380

13.2957195

2.6900713

13.6937257

31.2668098

6.1057493

6.5738958

24.8278558

5.6252113

29.6637792

39.0179092

1.6908429

6.5643752

13.6154317

2.7413862

13.5019974

31.2171588

6.2704509

6.7860520

25.3321271

5.7452425

29.3649211

38.8286817

1.7131282

6.7764124

13.9334760

2.7919660

13.3182005

31.1706717

6.4351525

6.9982082

25.8318669

5.8638419

29.0760202

38.6463954

1.7354134

6.9884496

14.2499278

2.8418417

13.1417978

31.1270729

6.5998540

7.2103644

26.3272796

5.9810645

28.7964936

38.4706717

1.7576987

7.2004868

14.5648568

2.8910423

12.9723023

31.0861169

6.7645556

7.4225206

26.8185548

6.0969615

28.5258078

38.3011605

1.7799839

7.4125240

14.8783277

2.9395946

12.8092708

31.0475847

6.9292571

7.6346768

27.3058685

6.2115810

28.2634726

38.1375371

1.8022692

7.6245612

15.1904011

2.9875240

12.6522995

31.0112799

7.0939587

7.8468330

27.7893848

6.3249680

28.0090369

37.9795000

1.8245544

7.8365984

15.5011330

3.0348541

12.5010189

30.9770260

7.2586603

8.0589892

28.2692565

6.4371648

27.7620846

37.8267688

1.8468397

8.0486356

15.8105763

3.0816069

12.3550909

30.9446644

7.4233618

8.2711454

28.7456267

6.5482114

27.5222309

37.6790819

1.8691249

8.2606728

16.1187800

3.1278033

12.2142047

30.9140517

7.5880634

8.4833016

29.2186292

6.6581453

27.2891195

37.5361955

1.8914102

8.4727099

16.4257905

3.1734629

12.0780744

30.8850584

7.7527649

8.6954578

29.6883895

6.7670021

27.0624197

37.3978816

1.9136954

8.6847471

16.7316511

3.2186042

11.9464366

30.8575668

7.9174665

8.9076139

30.1550256

6.8748152

26.8418240

37.2639267

1.9359807

8.8967843

17.0364027

3.2632444

11.8190479

30.8314703

8.0821681

9.1197701

30.6186483

6.9816164

26.6270463

37.1341308

1.9582659

9.1088215

17.3400837

3.3074002

11.6956830

30.8066717

8.2468696

9.3319263

31.0793622

7.0874360

26.4178193

37.0083064

1.9805512

9.3208587

17.6427304

3.3510870

11.5761330

30.7830823

8.4115712

9.5440825

31.5372660

7.1923025

26.2138936

36.8862770

2.0028364

9.5328959

17.9443771

3.3943196

11.4602043

30.7606210

8.5762728

9.7562387

31.9924527

7.2962431

26.0150357

36.7678769

2.0251217

9.7449331

18.2450563

3.4371120

11.3477164

30.7392138

8.7409743

9.9683949

32.4450106

7.3992836

25.8210270

36.6529499

2.0474069

9.9569703

18.8519208

3.5225880

11.1294992

30.6987660

9.0749520

10.3986000

33.3795151

7.6111125

25.4316328

36.4240978

2.0938225

10.3986000

σ1 REZIDUALNO (MPa)

T (MPa)

Φ'i (°)

θ

0.0000000

0.0000378

87.4505738

1.4164885

0.2848421

43.3680773

2.1287134

0.4613540

2.7245861 3.2602304

Tablica 4.15. Proraĉun Mohr-ovih anvelopa

φREZIDUALNO (°)

cREZIDUALNO (MPa)

15.1757676

0.926956107

φVRŠNO (°)

cVRŠNO (MPa)

31.8755979

1.580569036

ZNAĈENJE POJEDINIH IZRAZA nadsloj (m) h p0 geostatiĉko naprezanje (Mpa) E modul elastiĉnosti (Mpa) Poisson-ov koeficijent ν σC jednoosna tlaĉna ĉvrstoća (Mpa) ρ ri m, s mr, sr

gustoća (kg/m3) radijus iskopa (m) empirijske konstante stijenske mase

σ1 σ3

najveće glavno naprezanje (Mpa)

Φ'i T φ

zamišljeni kut trenja (°)

c θ h

najmanje glavno naprezanje (Mpa) posmiĉno naprezanje (Mpa) kut unutrašnjeg trenja (°) kohezija (Mpa) koeficijenti za proraĉun kuteva unutrašnjeg trenja i kohezije

STACIONAŢA OD 0+020.00 DO 0+031.00; OD 0+109.00 DO 0+121.00; PODGRADA TIP 5-KTPV cREZIDUALNO φREZIDUALNO (°) φVRŠNO (°) cVRŠNO (MPa) p0 (MPa) r0 REZIDUALNO (m) a (m) (MPa) 10.000

15.176

0.927

31.876

1.581

5.1993

17.02573493

βREZIDUALNO

ξREZIDUALNO

βVRŠNO

ξVRŠNO

pr (MPa)

r0 VRŠNO (m)

2.4237541

1.7092232

5.6882718

3.2379769

0.944

10.21200

Naprezanja u podruĉiju plastiĉnih deformacija

Naprezanja u podruĉiju elastiĉnih deformacija

бt (MPa)

бr (MPa)

r (m)

бt (MPa)

бr (MPa)

бro (MPa)

r (m)

4.03710331 4.11596411 4.19448789 4.27268095 4.35054938 4.42809909 4.50533577 4.58226497 4.65889205 4.73522220 4.81126046 4.88701173 4.96248075 5.03767213 5.11259034 5.18723975 5.26162457 5.33574892 5.40961681 5.48323212 5.55659864 5.62972007 5.70259999 5.77524191 5.84764924 5.91982530 5.99177335 6.06349653 6.13499795 6.20628061 6.27734744 6.34820133 6.41884508 6.48928141 6.55951302 6.62954252 6.69937246 6.76900533 6.83844360 6.90768965 6.97674581 7.04561438 7.11429760 7.18279767 7.25111673 7.31925688 7.45500868

0.94390786 0.99004625 1.03598746 1.08173518 1.12729297 1.17266428 1.21785246 1.26286074 1.30769227 1.35235007 1.39683710 1.44115622 1.48531020 1.52930175 1.57313349 1.61680795 1.66032761 1.70369489 1.74691211 1.78998157 1.83290547 1.87568597 1.91832518 1.96082514 2.00318785 2.04541526 2.08750926 2.12947170 2.17130440 2.21300911 2.25458755 2.29604141 2.33737231 2.37858187 2.41967166 2.46064319 2.50149797 2.54223746 2.58286309 2.62337625 2.66377833 2.70407065 2.74425453 2.78433125 2.82430208 2.86416823 2.94359132

10.000 10.149 10.299 10.448 10.598 10.747 10.897 11.046 11.196 11.345 11.495 11.644 11.794 11.943 12.093 12.242 12.392 12.541 12.691 12.840 12.990 13.139 13.289 13.438 13.588 13.737 13.887 14.036 14.186 14.335 14.485 14.634 14.783 14.933 15.082 15.232 15.381 15.531 15.680 15.830 15.979 16.129 16.278 16.428 16.577 16.727 17.02573493

6.66993231 6.62131974 6.57507831 6.53105626 6.48911383 6.44912204 6.41096179 6.37452293 6.33970345 6.30640880 6.27455122 6.24404920 6.21482689 6.18681371 6.15994385 6.13415593 6.10939264 6.08560039 6.06272909 6.04073180 6.01956455 5.99918611 5.97955775 5.96064311 5.94240801 5.92482028 5.90784963 5.89146753 5.87564708 5.86036290 5.84559101 5.83130878 5.81749479 5.80412881 5.79119167 5.77866522 5.76653225 5.75477646 5.74338238 5.73233531 5.72162130 5.71122711 5.70114012 5.69134835 5.68184040 5.67260539 5.66363298 5.65491330 5.64643696 5.63819498 5.63017880 5.62238025 5.61479152 5.60740516 5.60021402 5.59321129 5.58639044 5.57974523 5.56695808

3.72866769 3.77728026 3.82352169 3.86754374 3.90948617 3.94947796 3.98763821 4.02407707 4.05889655 4.09219120 4.12404878 4.15455080 4.18377311 4.21178629 4.23865615 4.26444407 4.28920736 4.31299961 4.33587091 4.35786820 4.37903545 4.39941389 4.41904225 4.43795689 4.45619199 4.47377972 4.49075037 4.50713247 4.52295292 4.53823710 4.55300899 4.56729122 4.58110521 4.59447119 4.60740833 4.61993478 4.63206775 4.64382354 4.65521762 4.66626469 4.67697870 4.68737289 4.69745988 4.70725165 4.71675960 4.72599461 4.73496702 4.74368670 4.75216304 4.76040502 4.76842120 4.77621975 4.78380848 4.79119484 4.79838598 4.80538871 4.81220956 4.81885477 4.83164192

1.11145679

17.025734931 17.314 17.603 17.891 18.180 18.469 18.757 19.046 19.334 19.623 19.911 20.200 20.489 20.777 21.066 21.354 21.643 21.931 22.220 22.509 22.797 23.086 23.374 23.663 23.951 24.240 24.529 24.817 25.106 25.394 25.683 25.971 26.260 26.549 26.837 27.126 27.414 27.703 27.991 28.280 28.569 28.857 29.146 29.434 29.723 30.011 30.300 30.589 30.877 31.166 31.454 31.743 32.031 32.320 32.609 32.897 33.186 33.474 34.051

NAPOMENA: U PODRUĈIJU PLASTIĈNIH DEFORMACIJA KORIŠTENE SU REZIDUALNE VRIJEDNOST KUTA UNUTRAŠNJEG TRENJA φREZIDUALNO (°) I KOHEZIJE cREZIDUALNO (MPa). U PODRUĈIJU ELASTIĈNIH DEFORMACIJA KORIŠTENE SU VRŠNE VRIJEDNOST KUTA UNUTRAŠNJEG TRENJA φVRŠNO (°) I KOHEZIJE cVRŠNO (MPa).

Tablica 4.18. Raspodjela tangencijalnih i radijalnih naprezanja oko tunelskog otvora za dionice od 0+000.00 do 0+020.00, od 0+031.00 do 0+109.00, podgrada tip 3-KTPV .

Tablica 4.18. Raspodjela tangencijalnih i radijalnih naprezanja oko tunelskog otvora za dionice od 0+000.00 do 0+020.00, od 0+031.00 do 0+109.00, podgrada tip 3-KTPV .