Konstrukcija linije zateuih sila

Konstrukcija linije zateuih silaisto savijanje:

Reakcije oslonacaBg = (30122/2)/9 = 240 kNAg = 3012 240 = 120 kNAp1 = Bp1 = 409/2 = 180 kNBp2 = [(603(9+3/2)]/9Bp2 = 210 kNAp2 = 603 210 = -30 kN

Dijagrami momenata savijanjaoslonac:Mg = 3032/2 = 135 kNmpolje:xmax = 120/30 = 4.0 mMg = 1204 3042/2Mg = 240 kNmpolje:Mp1 = 4092/2 = 405 kNmoslonac:Mp2 = 6032/2 = 270 kNm

Anvelopa momenata savijanja

Anvelopa momenata savijanja

Anvelopa momenata savijanja

Anvelopa momenata savijanja

Anvelopa momenata savijanja

Analitiki izrazi za momente savijanja

Vrednosti momenata savijanja - Excel

Chart2

1001001

0.5243630.5209.329.30.5

14561141393511

1.56391531.5551.365.31.5

27921802684722

2.59151952.5791.371.32.5

310081983873633

3.510711893.5929.347.33.5

411041684960244

4.511071354.5965.3-6.84.5

51080905945-455

5.51023335.5899.3-90.85.5

6936-366828-1446

6.5819-1176.5731.3-204.86.5

7672-2107609-2737

7.5495-3157.5461.3-348.87.5

8288-4328288-4328

8.551-5618.589.3-522.88.5

9-216-7029-135-6219

9.5-150-487.59.5-93.8-431.39.5

10-96-31210-60-27610

10.5-54-175.510.5-33.8-155.310.5

11-24-7811-15-6911

11.5-6-19.511.5-3.8-17.311.5

1200120012

#REF!

1.6G+1.8P1

1.6G+1.8P2

#REF!

1.0G+1.8P1

1.0G+1.8P2

#REF!

Mu [kNm]

R

L =12mg =30kN/mp1 =40kN/mp2 =60kN/m

l =9mAg =120kNAp1 =180kNAp2 =-30kN

a =3mBg =240kNBp1 =180kNBp2 =210kN

xMgMp1Mp21.6G+1.8P11.6G+1.8P21.0G+1.8P11.0G+1.8P2MAXMIN

0000000000

0.556.2585-1524363209.329.32430

1105160-30456114393514560

1.5146.25225-45639153551.365.36390

2180280-60792180684727920

2.5206.25325-75915195791.371.39150

3225360-9010081988736310080

3.5236.25385-1051071189929.347.310710

4240400-12011041689602411040

4.5236.25405-1351107135965.3-6.81107-6.8

5225400-150108090945-451080-45

5.5206.25385-165102333899.3-90.81023-90.8

6180360-180936-36828-144936-144

6.5146.25325-195819-117731.3-204.8819-204.8

7105280-210672-210609-273672-273

7.556.25225-225495-315461.3-348.8495-348.8

80160-240288-432288-432288-432

8.5-63.7585-25551-56189.3-522.889.3-561

9-1350-270-216-702-135-6210-702

9.00000001-134.99999910-269.9999982-216-702-135-6210-702

9.5-93.750-187.5-150-487.5-93.8-431.30-487.5

10-600-120-96-312-60-2760-312

10.5-33.750-67.5-54-175.5-33.8-155.30-175.5

11-150-30-24-78-15-690-78

11.5-3.750-7.5-6-19.5-3.8-17.30-19.5

12000000000

BETON

GARA

MBfBfbzmEbtrtp

MPaMPaMPaGPaMPaMPa

1510.51.5270.60.61.2

20141.828.50.80.671.4

2517.252.1300.950.7151.575

3020.52.431.51.10.761.75

35232.65331.20.8051.925

4025.52.9341.30.852.1

4527.753.15351.40.8852.275

50303.4361.50.922.45

5531.53.6371.550.952.625

60333.8381.60.982.8

Anvelopa momenata savijanja - Excel

Chart2

0000

24363209.2529.25

45611439351

639153551.2565.25

79218068472

915195791.2571.25

100819887363

1071189929.2547.25

110416896024

1107135965.25-6.75

108090945-45

102333899.25-90.75

936-36828-144

819-117731.25-204.75

672-210609-273

495-315461.25-348.75

288-432288-432

51-56189.25-522.75

-216-702-135-621

-215.99999856-701.99999532-134.9999991-620.99999586

-150-487.5-93.75-431.25

-96-312-60-276

-54-175.5-33.75-155.25

-24-78-15-69

-6-19.5-3.75-17.25

0000

1.6G+1.8P1

1.6G+1.8P2

G+1.8P1

G+1.8P2

Mu [kNm]

R

L =12mg =30kN/mp1 =40kN/mp2 =60kN/mmax.M =1107kNmAaD =45.56cm2Tu1 =516kN

l =9mAg =120kNAp1 =180kNAp2 =-30kNmin.M =702kNmAaG =28.89cm2Tu2 =618kN

a =3mBg =240kNBp1 =180kNBp2 =210kNTu3 =467.99999844kN

tn1 =2.12MPa

b =40cma =7.5cmMB30tr =1.1MPatn1 =2.54MPa25Zau(1) =196.3495408494kN

d =75cmh =67.5cmRATr =267.3kNtn1 =1.93MPa

1.6G1.6G+1.8P11.6G+1.8P21.6G+1.8(P1+P2)G+1.8P1G+1.8P2G+1.8(P1+P2)MAXMIN1.6G1.6G+1.8P11.6G+1.8P21.6G+1.8(P1+P2)G+1.8P1G+1.8P2G+1.8(P1+P2)MAXMINTu

xMgMp1Mp2Mu1Mu2Mu3Mu4Mu5Mu6Mu7MuMAXMuMINTgTp1Tp2Tu1Tu2Tu3Tu4Tu5Tu6Tu7TuMAXTuMINTu

0000000000000120180-3019251613846244466390516.066.051666516

0.556.2585-159024363216209.2529.25182.252430105160-3016845611440239351339456.051.045651456

1105160-3016845611440239351339456090140-301443969034234236288396.036.039636396

1.5146.25225-45234639153558551.2565.25470.25639075120-301203366628229121237336.021.033621336

2180280-6028879218068468472576792060100-3096276422222406186276.06.02766276

2.5206.25325-75330915195780791.2571.25656.2591504580-307221618162189-9135216.0-9.02169216

3225360-90360100819884687363711100803060-3048156-6102138-2484156.0-24.015624156

3.5236.25385-1053781071189882929.2547.25740.25107101540-302496-304287-393396.0-39.0963996

4240400-12038411041688889602474411040020-30036-54-1836-54-1836.0-54.0365454

4.5236.25405-1353781107135864965.25-6.75722.251107-6.75-150-30-24-24-78-78-15-69-69-15.0-78.0157878

5225400-150360108090810945-456751080-45-30-20-30-48-84-102-138-66-84-120-48.0-138.048138138

5.5206.25385-165330102333726899.25-90.75602.251023-90.75-45-40-30-72-144-126-198-117-99-171-72.0-198.072198198

6180360-180288936-36612828-144504936-144-60-60-30-96-204-150-258-168-114-222-96.0-258.096258258

6.5146.25325-195234819-117468731.25-204.75380.25819-204.75-75-80-30-120-264-174-318-219-129-273-120.0-318.0120318318

7105280-210168672-210294609-273231672-273-90-100-30-144-324-198-378-270-144-324-144.0-378.0144378378

7.556.25225-22590495-31590461.25-348.7556.25495-348.75-105-120-30-168-384-222-438-321-159-375-159.0-438.0159438438

80160-2400288-432-144288-432-144288-432-120-140-30-192-444-246-498-372-174-426-174.0-498.0174498498

8.5-63.7585-255-10251-561-40889.25-522.75-369.7589.25-561-135-160-30-216-504-270-558-423-189-477-189.0-558.0189558558

9-1350-270-216-216-702-702-135-621-6210-702-150-180-30-240-564-294-618-474-204-528-204.0-618.0204618618

9.00000001-134.99999910-269.9999982-215.99999856-215.99999856-701.99999532-701.99999532-134.9999991-620.99999586-620.999995860-701.9999953289.99999970179.9999994143.99999952143.99999952467.99999844467.9999984489.9999997413.99999862413.99999862468.090.0467.9999984489.9999997467.99999844

9.5-93.750-187.5-150-150-487.5-487.5-93.75-431.25-431.250-487.575015012012039039075345345390.075.039075390

10-600-120-96-96-312-312-60-276-2760-312600120969631231260276276312.060.031260312

10.5-33.750-67.5-54-54-175.5-175.5-33.75-155.25-155.250-175.545090727223423445207207234.045.023445234

11-150-30-24-24-78-78-15-69-690-7830060484815615630138138156.030.015630156

11.5-3.750-7.5-6-6-19.5-19.5-3.75-17.25-17.250-19.5150302424787815696978.015.0781578

1200000000000000000000000.00.0000

PODACI

PODACI

0000000

9024363216209.2529.25182.25

16845611440239351339

234639153558551.2565.25470.25

28879218068468472576

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360100819884687363711

3781071189882929.2547.25740.25

384110416888896024744

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288936-36612828-144504

234819-117468731.25-204.75380.25

168672-210294609-273231

90495-31590461.25-348.7556.25

0288-432-144288-432-144

-10251-561-40889.25-522.75-369.75

-216-216-702-702-135-621-621

-215.99999856-215.99999856-701.99999532-701.99999532-134.9999991-620.99999586-620.99999586

-150-150-487.5-487.5-93.75-431.25-431.25

-96-96-312-312-60-276-276

-54-54-175.5-175.5-33.75-155.25-155.25

-24-24-78-78-15-69-69

-6-6-19.5-19.5-3.75-17.25-17.25

0000000

1.6G

1.6G+1.8P1

1.6G+1.8P2

1.6G+1.8(P1+P2)

G+1.8P1

G+1.8P2

G+1.8(P1+P2)

Mu [kNm]

BETON

19251613846244466390

16845611440239351339

1443969034234236288

1203366628229121237

96276422222406186

7221618162189-9135

48156-6102138-2484

2496-304287-3933

036-54-1836-54-18

-24-24-78-78-15-69-69

-48-84-102-138-66-84-120

-72-144-126-198-117-99-171

-96-204-150-258-168-114-222

-120-264-174-318-219-129-273

-144-324-198-378-270-144-324

-168-384-222-438-321-159-375

-192-444-246-498-372-174-426

-216-504-270-558-423-189-477

-240-564-294-618-474-204-528

143.99999952143.99999952467.99999844467.9999984489.9999997413.99999862413.99999862

12012039039075345345

969631231260276276

727223423445207207

484815615630138138

24247878156969

0000000

1.6G

1.6G+1.8P1

1.6G+1.8P2

1.6G+1.8(P1+P2)

G+1.8P1

G+1.8P2

G+1.8(P1+P2)

Tu [kNm]

GARA

MBfBfbzmEbtrtp

MPaMPaMPaGPaMPaMPa

1510.51.5270.60.61.2

20141.828.50.80.671.4

2517.252.1300.950.7151.575

3020.52.431.51.10.761.75

35232.65331.20.8051.925

4025.52.9341.30.852.1

4527.753.15351.40.8852.275

50303.4361.50.922.45

5531.53.6371.550.952.625

60333.8381.60.982.8

Linija zateuih sila

Linija zateuih sila

Linija zateuih sila

Linija zateuih silaz = 0.964Aa,potr. = 42.33 cm2 (usv. 44.18 cm2)z = 0.894Aa,potr. = 28.85 cm2 (usv. 29.45 cm2)

Pomerena linija zateuih sila

Linija pokrivanja armaturom

Linija pokrivanja armaturom

Linija pokrivanja armaturom

Linija pokrivanja armaturom