TCC12 Bending and Axial Force

Project

Spreadsheets to Eurocode 2

Client

Advisory Group

Location

The Concrete Centre Made by

Beam C1-2, Level 3

Date

RMW

Originated from TCC12.xls v 4.1 on CD

11-Dec-14

Checked

BENDING AND AXIAL FORCE to EN 1992-1 : 2003

Revision

chg

© 2002-2005 TCC

Page

-

195 Job No

FB625

MATERIALS fck fyk

35 500

N/mm²

h b

450 300

mm

gs gc

N/mm²

SECTION

1.15 1.50

COVERS (to main steel) TOP 35 mm BOTTOM 35 mm SIDES 35 mm

mm

REINFORCEMENT Bar Ø 25 32

TOP BOTTOM

No 2 3

Area 982 2413

% 0.727 1.787

Space 180.0 67.0

. .

M:N interaction chart for 450 x 300 section, Grade 35 concrete 5000

4000 Mmin

3100

AXIAL COMPRESSION, NEd kN

3000

2000 1600 1200

1000

0.1Acfck

0 -600 -1000

-2000 -500

-400

-300

-200

-100

0

100

200

300

400

MOMENT, MEdxx kNm LOADCASES

(ULS)

CASE

NEd

MEd

CASE

NEd

MEd

1

3100

-210

2

-600

180

3

1600

280

4

1200

-240

500

Project

Spreadsheets to Eurocode 2

Location

Beam C1-2, Level 3 BENDING AND AXIAL FORCE to EN 1992-1 : 2003 Originated from TCC12.xls v 4.1 on CD

© 2002-2005 TCC

CALCULATIONS l = 0.80 h.fcd = h.accfck/gc = 19.83 fyd = 434.78 net fyd = 414.95 Positive Moments d' =

47.5

(1-ec3/ec3u)h = 225

N/mm²

n

Neutral axis

0.00

Fc

Conc comp force

0

ec max

Limiting strain

0.0035

ALL CALCULATIONS DERIVED FROM FIGURES 3.5 AND 6.1

N/mm²

d=

mm

n=0

esc

ecu3 = 0.0035 ec3 = 0.00175

N/mm²

399

mm

Asc =

981.7

mm²

Ast =

2412.7

mm²

N bal

Interval = 10.26 10.26

20.51

30.77

41.02

51.28

61.53

71.79

82.04

92.30

102.55

112.81

123.06

133.32

143.57

153.83

164.08

174.34

184.59

194.85

205.11

215.36

225.62

235.87

246.13

48815

97630

146445

195260

244075

292890

341706

390521

439336

488151

536966

585781

634596

683411

732226

781041

829856

878671

927486

976302

1025117

1073932

1122747

1171562

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.000798

0.001184

0.001474

0.001699

0.001879

0.002026

0.002149

0.002253

0.002342

0.002419

0.002487

0.002546

0.002599

0.002647

0.002689

0.002728

0.002763

0.002795

0.002825 2.2E-03

Steel comp strain -166250 -0.012711 -0.00460559 -0.001904 -0.000553 0.000258

est

Steel tens strain

1.4E+06

1.3E-01

6.5E-02

4.2E-02

3.1E-02

2.4E-02

1.9E-02

1.6E-02

1.4E-02

1.2E-02

1.0E-02

8.9E-03

7.8E-03

7.0E-03

6.2E-03

5.6E-03

5.0E-03

4.5E-03

4.1E-03

3.7E-03

3.3E-03

3.0E-03

2.7E-03

2.4E-03

fsc

Steel comp stress

-434.8

-434.8

-434.8

-380.7

-110.6

51.6

139.8

217.0

274.9

319.9

355.9

385.4

410.0

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

fst

Steel tens stress

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

434.8

Fsc

Steel comp force

-426847

-426847

-426847

-373796

-108541

50612

137242

213030

269870

314079

349446

378383

402497

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

Fst

Steel tens force

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

1049019

z N

Conc lever arm Fc + Fsc - Fst

399.00 -1475.87

394.90 -1427.05

390.80 -1378.24

386.69 -1276.37

382.59 -962.30

378.49 -754.33

374.39 -618.89

370.29 -494.28

366.18 -388.63

362.08 -295.60

357.98 -211.42

353.88 -133.67

349.77 -60.74

345.67 -7.05

341.57 41.77

337.47 90.58

333.37 139.40

329.26 188.21

325.16 237.03

321.06 285.84

316.96 334.66

312.86 383.47

308.75 432.29

304.65 481.10

300.55 529.92

M

MOR

106.76

117.55

127.93

147.33

203.99

241.42

265.58

287.41

305.48

320.91

334.37

346.28

356.94

363.78

369.36

374.53

379.31

383.69

387.66

391.23

394.41

397.18

399.55

401.53

403.10

414.9

Negative Moments d' =

51

d=

mm

n=0 n

Neutral axis

0.00

402.5

mm

Asc =

2412.7

mm²

Ast =

981.7

mm²

N bal

Interval = 10.35 10.35

20.69

31.04

41.38

51.73

62.07

72.42

82.76

93.11

103.45

113.80

124.14

134.49

144.83

155.18

165.52

175.87

186.21

196.56

206.90

217.25

227.59

237.94

248.29 1181839

Fc

Conc comp force

0

49243

98487

147730

196973

246216

295460

344703

393946

443190

492433

541676

590919

640163

689406

738649

787892

837136

886379

935622

984866

1034109

1083352

1132595

ec max

Limiting strain

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

esc est fsc fst Fsc Fst z

Steel comp strain Steel tens strain Steel comp stress Steel tens stress Steel comp force Steel tens force Conc lever arm Fc + Fsc - Fst MOR

4.91E-05 2.4E-02 9.8 434.8 23709 426847 381.81 -156.92 -130.20

0.000624 1.9E-02 124.9 434.8 301244 426847 377.67 169.86 -187.32

0.001035 1.6E-02 187.2 434.8 451631 426847 373.53 369.49 -221.92

0.001343 1.4E-02 248.8 434.8 600311 426847 369.40 567.41 -255.82

0.001583 1.2E-02 296.7 434.8 715950 426847 365.26 732.29 -283.55

0.001775 1.0E-02 335.1 434.8 808462 426847 361.12 874.05 -306.86

0.001931 8.9E-03 366.5 434.8 884153 426847 356.98 998.98 -326.83

0.002062 7.8E-03 392.6 434.8 947230 426847 352.84 1111.30 -344.20

0.002173 7.0E-03 414.7 434.8 1000602 426847 348.70 1213.92 -359.47

0.002268 6.2E-03 414.9 434.8 1001166 426847 344.57 1263.73 -365.14

0.00235 5.6E-03 414.9 434.8 1001166 426847 340.43 1312.97 -370.32

0.002422 5.0E-03 414.9 434.8 1001166 426847 336.29 1362.21 -375.08

0.002485 4.5E-03 414.9 434.8 1001166 426847 332.15 1411.45 -379.43

0.002541 4.1E-03 414.9 434.8 1001166 426847 328.01 1460.70 -383.38

0.002592 3.7E-03 414.9 434.8 1001166 426847 323.88 1509.94 -386.92

0.002637 3.3E-03 414.9 434.8 1001166 426847 319.74 1559.18 -390.05

0.002678 3.0E-03 414.9 434.8 1001166 426847 315.60 1608.43 -392.78

0.002716 2.7E-03 414.9 434.8 1001166 426847 311.46 1657.67 -395.10

0.00275 2.4E-03 414.9 434.8 1001166 426847 307.32 1706.91 -397.01

0.002781 2.2E-03 414.9 434.8 1001166 426847 303.19 1756.16 -398.51

-58.69 3912.45

MIN M 0.00 0.00

58.69 3912.45

N M

3100.00 -210.00

-178500 -0.013754 -0.00512717 -0.002251 -0.000814 1.4E+06 1.3E-01 6.5E-02 4.2E-02 3.1E-02 -434.8 -434.8 -434.8 -434.8 -162.7 434.8 434.8 434.8 434.8 434.8 -1E+06 -1049019 -1049019 -1049019 -392594 426847 426847 426847 426847 426847 402.50 398.36 394.22 390.09 385.95 -1475.87 -1426.62 -1377.38 -1328.14 -622.47 106.76 95.89 85.42 75.36 -48.51

LOADCASES -600.00 1600 180.00 280

1200 -240

-398.51 472.50

0.1Ac.fck -131.31 472.50

403.10 472.50

6

2h

Interval = 25.15

Nuz

271.28

296.42

321.57

346.72

371.87

397.02

422.17

447.32

472.47

497.62

522.77

547.91

573.06

598.21

623.36

648.51

673.66

698.81

723.96

749.11

774.26

799.40

824.55

849.70

874.85

900.00

1291271

1410980

1530689

1650398

1770108

1889817

2009526

2129235

2248944

2368653

2488363

2608072

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

n 0.00175

Fc

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.003341

0.003194

0.003072

0.002969

0.002881

0.002805

0.002738

0.00268

0.002628

0.002581 0.002539146 0.002501

0.002467

0.002435

0.002407

0.00238

0.002356

0.002333

0.002887

0.002939

0.002983

0.003021

0.003053

0.003081

0.003106

0.003128

0.003005

0.002889

0.002793

0.002712

0.002642

0.002582

0.00253

0.002483

0.002442

0.002406 0.002372548 0.002343

0.002316

0.002291

0.002268

0.002247

0.002228

0.00221

0.00175

c strain

1.6E-03

1.2E-03

8.4E-04

5.3E-04

2.6E-04

1.7E-05

-1.9E-04

-3.8E-04

-5.2E-04

-6.3E-04

-7.3E-04

-8.1E-04

-8.8E-04

-9.3E-04

-9.9E-04

-1.0E-03

-1.1E-03

-1.1E-03

-1.2E-03

-1.2E-03

-1.2E-03

-1.3E-03

-1.3E-03

-1.3E-03

-1.8E-03

t strain

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

414.9

330.2

329.6

242.2

168.5

105.5

51.1

3.5

-38.4

-75.6

-103.9

-126.6

-125.6

-141.6

-155.2

-167.0

-177.3

-186.4

-194.4

-201.6

-208.1

-214.0

-219.3

-224.1

-228.6

-232.7

-236.5

-239.9

-330.2

fst

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

407375

324140

Fsc

795194

584439

406649

254650

123210

8421

-92691

-182433

-250701

-305475

-303145

-341576

-374454

-402901

-427756

-449659

-469107

-486490

-502121

-516252

-529089

-540801

-551531

-561398

-570500

-578924

-796607

Fst

290.49 903.45

280.43 1233.92

270.37 1531.42

260.31 1803.12

250.25 2054.27

240.19 2288.77

230.13 2509.59

220.07 2719.04

210.01 2907.02

199.95 3081.50

189.89 3198.88

179.83 3357.02

174.00 3459.33

174.00 3487.78

174.00 3512.63

174.00 3534.53

174.00 3553.98

174.00 3571.37

174.00 3587.00

174.00 3601.13

174.00 3613.96

174.00 3625.68

174.00 3636.41

174.00 3646.27

174.00 3655.38

174.00 3663.80

174.00 3798.25

N

361.09

324.17

290.58

259.07

228.72

198.86

168.98

138.67

109.68

80.63

59.11

28.09

7.15

2.20

-2.12

-5.93

-9.32

-12.34

-15.06

-17.52

-19.75

-21.79

-23.66

-25.37

-26.96

-28.42

-81.07

M

2h

Nuz

-1.1E-03

-1.2E-03

Interval = 25.07 273.35

298.42

323.48

348.55

373.62

398.68

423.75

448.81

473.88

498.94

524.01

549.08

574.14

599.21

624.27

649.34

674.41

699.47

724.54

749.60

774.67

799.74

824.80

849.87

874.93

900.00

1301153

1420466

1539780

1659094

1778408

1897722

2017036

2136350

2255664

2374978

2494292

2613605

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

2677500

0.002538228 0.002501

0.002466

0.002435

0.002406

0.00238

0.002356

0.002333

0.00175

0.002304 -1.2E-03 414.9 -217.1 1001166 -213181 177.50 3891.85 -136.36

0.00228 -1.2E-03 414.9 -222.1 1001166 -218020 177.50 3896.69 -135.50

0.002258 -1.2E-03 414.9 -226.6 1001166 -222455 177.50 3901.12 -134.72

0.002237 -1.3E-03 414.9 -230.7 1001166 -226534 177.50 3905.20 -133.99

0.002219 -1.3E-03 414.9 -234.6 1001166 -230298 177.50 3908.96 -133.32

0.002201 -1.3E-03 414.9 -238.1 1001166 -233783 177.50 3912.45 -132.71

0.00175 -1.8E-03 330.2 -330.2 796607 -324140 177.50 3798.25 -81.07

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.0035

0.003332

0.003187

0.003067

0.002965

0.002878

0.002802

0.002736

0.002678

0.002626

0.00258

0.002847 1.7E-03 414.9 330.7 1001166 324688 293.16 1977.63 -382.33

0.002902 1.2E-03 414.9 244.1 1001166 239691 283.13 2181.94 -366.80

0.002948 8.5E-04 414.9 171.0 1001166 167867 273.11 2373.08 -351.21

0.002988 5.4E-04 414.9 108.4 1001166 106373 263.08 2553.89 -335.07

0.003022 2.7E-04 414.9 54.1 1001166 53130 253.05 2726.44 -318.00

0.003052 3.4E-05 414.9 6.7 1001166 6583 243.03 2892.31 -299.72

0.003079 -1.8E-04 414.9 -35.1 1001166 -34458 233.00 3052.66 -280.03

0.003102 -3.6E-04 414.9 -72.2 1001166 -70915 222.97 3208.43 -258.77

0.002973 -5.0E-04 414.9 -100.4 1001166 -98548 212.95 3355.38 -236.67

0.002862 -6.2E-04 414.9 -123.2 1001166 -120972 202.92 3497.12 -213.11

0.002768 -7.1E-04 414.9 -122.4 1001166 -120164 192.90 3615.62 -191.28

0.00269 -7.9E-04 414.9 -138.5 1001166 -135941 182.87 3750.71 -164.11

0.002622 -8.6E-04 414.9 -152.2 1001166 -149452 177.50 3828.12 -147.68

0.002564 -9.2E-04 414.9 -164.1 1001166 -161154 177.50 3839.82 -145.60

0.002513 -9.7E-04 414.9 -174.6 1001166 -171386 177.50 3850.05 -143.78

0.002468 -1.0E-03 414.9 -183.8 1001166 -180409 177.50 3859.07 -142.18

0.002428 -1.1E-03 414.9 -191.9 1001166 -188426 177.50 3867.09 -140.76

0.002392 0.002359563 -1.1E-03 -1.1E-03 414.9 414.9 -199.2 -205.8 1001166 1001166 -195595 -202045 177.50 177.50 3874.26 3880.71 -139.48 -138.34

0.00233 -1.2E-03 414.9 -211.7 1001166 -207879 177.50 3886.55 -137.30

fsc

z

n 2677500

Fc c strain t strain fsc fst Fsc Fst z N M

BENDING AND AXIAL FORCE to EN 1992-1 : 2003

National Annex values Originated from TCC12.xls v 4.1 on CD

© 2002-2005 TCC

EC2 Ref

Function

Value

Table 2.2

γc

1.5

concrete

Table 2.2

γs

1.15

steel

3.1.6 (1)P

αcc

0.85

strength factor

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Revision history TCC12 Bending & Axial Force

Date

Version

Action

Size (kB)

4-May-10

TCC11 v4.1

Correction to spacing at MAIN!G18.

471

10-Mar-10

TCC11 v4.0

Re-badged

471

28-Jun-06

TCC11 v3.0

v3 release. Page nos, User Guide and registration details amended.

429

25-Jan-05

TCC12 V1.0

RE-BADGED

434

26-Mar-03

RCCen12 b3

National Annex sheet added. Udated to November 2002 draft.

221

19-Dec-01

RCCen12 b2

Udated to final draft.

242

26-Jul-01

RCCen12 b1

First issue for in-house comment

266