Es_09_design Examples - Incremental Launching

March 22, 2018 | Author: Luca Negri | Category: Prestressed Concrete, Turin, Geotechnical Engineering, Bridge, Solid Mechanics
Share Embed Donate


Short Description

Download Es_09_design Examples - Incremental Launching...

Description

4

Incremental launching

1/66

SECONDINO VENTURA BRIDGE (ASTI) Incremental launching continuous beam

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

2/66

4

Incremental launching

3/66

SECONDINO VENTURA BRIDGE Geographical positioning

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4/66

4

Incremental launching

5/66

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

SECONDINO VENTURA BRIDGE What could it have been the typical solution?

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

6/66

4

Incremental launching

7/66

The typical Th t i l solution l ti f a railway for il deck is the use of simply supported beams

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

8/66

This common solution has the following g features •

Widely tested solution in term of rail traffic safety and passengers comfort

Necessity of accessibility from the bottom to the construction site (or utilization of high dimensions and expensive launching girders)



Practicallyy no p problem of interaction between track and structure

High number of bearings and joints (with consequent problems of durability and substitution)



Large width piles and capitals to accommodate d t ttwo rows off b bearings i (3.0 m, 4.1 m)



Non optimal distribution of the stresses and low slenderness L/h≤15 /



Good speed of construction



Computation simplicity





Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

9/66

SECONDINO VENTURA BRIDGE A little history

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

10/66

A LITTLE HISTORY … •

Flooding in Piedmont in 1994 concerned principally Tanaro basin with a flow measured in Alessandria of about 3800 m3/s



Old Corso Savona bridge in Asti was made of a upper way road deck, realized with 4 prestressed precast concrete beams with cast in situ slab of about 20 m span, and a lower railway deck made of steel



Both the decks were supported by huge masonry piers that left very little free span between them them.

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

11/66

During the flooding the bridge presented: ¾ Insufficient hydraulic clearance: water reached the intrados of th prestressed the t d concrete t d deck. k ¾ Violent impacts of transported material against the upstream beam (and consequent damage) ¾ Drifting of material against the piles with consequent dam effect During post-flooding repair works of river Tanaro, the river bed in correspondence of the bridge has been enlarged. The two decks, road and railway, had then to be replaced

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

12/66

DESIGN RESTRAINTS •

Larger spans, to interfere as little as possible with the river and with ith th the water t fl flow (200 years return t period) i d)



No significant variation of the railway level (railway station is nearby)



Possibility of future reutilization of the rail deck as road deck, as a consequence of modification of railway line and transfer of the railway station in another zone



Similar transverse section for deck radicallyy different ((road deck and railway deck)



Construction method able to guarantee the safety of the structure and working force during construction phases

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

13/66

SOLUTION Both road and railway decks made of prestressed concrete. Two continuous beams with 5 spans each (end spans 29.70 m and central spans 33.20 m), Incremental launching. Total depth of the beams = 165 cm (l/h≈20). Diaphragm piers with a transverse thickness of 150 cm.

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

BEARINGS Free Fixed

Long Free / Transv. Long. Transv fixed Long. fixed / Transv. free

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

14/66

4

Incremental launching

15/66

Cross section of the two independent decks

Railway

Road + cycle track

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

Cross section of the railway deck

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

16/66

4

Incremental launching

17/66

Comparison between construction techniques



Construction of one span (33 m) in ten days



Lauching time: 3 hours Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

SECONDINO VENTURA BRIDGE Launching technique

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

18/66

4

Incremental launching

19/66

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

a)) Uplift p

c) Down lift

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

b)) Trust

d) Repositioning

20/66

4

Incremental launching

21/66

Geometrical limitations: In vertical plane

In horizontal plane

horizontal circular li linear iinclination li ti circular

straight or circular straight circular i l circular

In the last two cases the projections on the horizontal plane are ellipse circles

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

22/66

NOSE DESIGN We can assume Ln ≅ 0,65 0 65 L

Ln= nose length L = typical span of the bridge (temporary or final) qn = k Ln² qn = dead weight of nose , ÷ 0,020 , for road bridges g k = 0,012 0,018 ÷ 0,030 for rail bridges The ratio between dead weight of nose and deck can be assumed, assumed at a first approximation, as: qn/q = 0,10 The effect of relative flexural rigidity EnIn/EI on the limitation of stress variation during the launching should be evaluated. Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

23/66

For simplification, F i lifi ti as a first fi t approach, h we can analyze l a continuous ti b beam with ith an infinite number of spans and axial baricentric prestressing, to avoid the hyperstatic bending moments due to prestressing, which can assume different values for each bridge position. position

B B The launching internal actions as a function of parameter α = x/L, x/L are analyzed with: • nose cantilevering 0 ≤ α ≤ 1-Ln/L • nose on the pier pie 1 Ln/L ≤ α ≤ 1 1-L

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

24/66

Variation of MB during the launching for Ln/L = 0,80 and qn/q = 0,10 with the relative rigidity ratio EnIn/EI

Variation of MB during the launching g for Ln/L = 0,50 and qn/q = 0,10 with the relative rigidity ratio EnIn/EI

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

Incremental launching 8-8 25/66 Incremental launching

4

With qn/q = 0,10 the bending moment at maximum cantilevering is equal to EOL for Ln/L = 0,65 ,

Variation of MB for Ln/L = 0,65 and EnIn/EI = 0,200 as a function of the ratio qn/q. q

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

SECONDINO VENTURA BRIDGE Launching nose

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

26/66

4

Incremental launching

27/66

Launching nose anchoring system Longitudinal section

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

28/66

Section S1 φ20/20 L70cm welded to the plate

Concrete bed for the plate Rck >45 MPa

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

(interface with the nose)

4

Incremental launching

29/66

Section S3 (2m from the nose)

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

30/66

Section S5 (4m from the nose)

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

31/66

Section S7 (5m from the nose)

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

SECONDINO VENTURA BRIDGE Evaluation of the internal actions during launching and launching prestressing

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

32/66

4

Incremental launching

33/66

INTERNAL ACTIONS DURING THE LAUNCHING: BENDING MOMENT •

Static scheme :

Definitive restraint Temporary restraint •

Actions: ¾ Self weight ¾ Temperature variation between intrados and extrados of ± 5° ¾ Maximum differential settlement between two consecutive bearings of 5 mm Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

34/66

Bending g moment at end of launching g (values in kN*10*m)

Step 95 Fase 95

Mg

M sett. Mced

M temp

M+

M-

Mtot+

Mtot-

-1200.0 -1100.0 -1000.0 -900.0 -800.0 -700.0 -600.0 -500.0 -400.0 -300.0 -200.0 -100.0 0.0

20.0

40.0

60.0

80.0

100.0

0.0 100 0 100.0 200.0 300.0 400.0 500.0 600.0 700.0

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

120.0

140.0

160.0

4

Incremental launching

35/66

Bending g moment during g launching g Fase 20 Step

Mg

Msett. Mced

M temp

M+

M-

Mtot+

Mtot-

Fase30 30 Step

-1200.0

-1200.0

-1100.0

-1100.0

-1000.0

-1000.0

-900.0

-900.0

-800.0

-800.0

-700.0

-700.0

-600.0

-600.0

-500.0

-500.0

-400.0

-400.0

-300.0

Mg

Msett. Mced

M temp

M+

M-

Mtot+

Mtot-

-300.0

-200.0

-200.0

-100.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

-100.0 0.0

0.0

0.0

100.0

100.0

200.0

200.0

300.0

300.0

400.0

400.0

500.0

500.0

600.0

600.0

700.0

700.0

Fase 40 Step

Mg

Msett. Mced

M temp

M+

M-

Mtot+

Mtot-

Fase50 50 Step

-1200.0

-1200.0

-1100.0

-1100.0

-1000.0

-1000.0

-900.0

20.0

40.0

Mg

60.0

Mced Msett.

80.0

M temp

100.0

M+

120.0

M-

140.0

160.0

Mtot+

Mtot-

-900.0

-800.0

-800.0

-700.0 700 0

-700.0 700 0

-600.0

-600.0

-500.0

-500.0

-400.0

-400.0

-300.0

-300.0

-200.0

-200.0

-100.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

-100.0 0.0

0.0

0.0

100.0

100.0

200.0

200.0

300.0

300.0

400.0

400.0

500.0

500.0

600.0

600.0

700.0

700.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

36/66

Bending g moment during g launching g Fase60 60 Step

Mg

Msett. Mced M temp

M+

M-

Mtot+

Mtot-

Step Fase70 70

-1200.0

-1200.0

-1100.0

-1100.0

-1000.0

-1000.0

-900.0

-900.0

-800.0

-800.0

-700.0

-700.0

-600.0

-600.0

-500.0

-500.0

-400.0

-400.0

-300.0

Msett. Mced

M temp

M+

M-

Mtot+

Mtot-

-300.0

-200.0

-200.0

-100.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

-100.0 0.0

00 0.0

00 0.0

100.0

100.0

200.0

200.0

300.0

300.0

400.0

400.0

500.0

500.0

600.0

600.0

700.0

700.0

Fase80 80 Step

Mg

Msett. Mced

M temp

M+

M-

Mtot+

Mtot-

-1200.0

-1100.0

-1100.0

-1000.0

-1000.0

-900.0

-900.0

-800.0

-800.0

-700.0

-700.0

-600.0

-600.0

-500.0

-500.0

-400.0

-400.0

-300.0

20.0

Fase90 90 Step

-1200.0

40.0

Mg

60.0

Msett. Mced

80.0

M temp

100.0

M+

120.0

M-

140.0

Mtot+

160.0

Mtot-

-300.0

-200.0 -100.0 0.0

Mg

-200.0 20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

-100.0 0.0

0.0

0.0

100.0

100.0

200.0

200.0

300.0

300.0

400.0

400.0

500.0

500.0

600.0

600.0

700.0

700.0

20.0

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

40.0

60.0

80.0

100.0

120.0

140.0

160.0

4

Incremental launching

37/66

As the bending g moments are almost constant in all the sections and the positive values are only half of the negative ones baricentric prestressing is introduced for the launching phases.

A  [m2] 7.897

Enlarged section Wsx,sup Wdx,sup Wsx,inf [m3] [m3] [m3] ‐2.828 ‐2.631 2.171

Wdx,inf [m3] 2.237

A [m2] 6.458

Current section Wsx,sup Wdx,sup Wsx,inf [m3] [m3] [m3] ‐2.498 ‐2.290 1.590

Wdx,inf [m3] 1.629

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

38/66

Longitudinal g stresses during g launching g σsup M+ [MPa]

σinf M+ [MPa]

σsup M‐ [MPa]

σinf M‐ [MPa]

(σsup M+) +σprec

(σinf M+) +σprec

(σsup M‐) +σprec

(σinf M‐) +σprec

6.00 4.00 2.00

σ [MPa]

0.00 ‐2.00 ‐4.00 ‐6.00 ‐8.00 8.00 ‐10.00 ‐12.00 ‐14.00 0.00

20.00

40.00

60.00

80.00

100.00

x [m] Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

120.00

140.00

160.00

180.00

4

Incremental launching

39/66

Shear at end of launching g (values in kN*10*m)

Fase95 95 Step

V sett. Vced

Vg

V temp

V+

V-

Vtot+

Vtot-

-300.0

-250.0

-200.0

-150.0

-100.0 100 0

-50.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

0.0

50.0

100.0

150.0

200.0

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

40/66

Shear during g launching g Fase20 20 Step

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

Fase30 30 Step

-300.0

-300.0

-250.0

-250.0

-200.0

-200.0

-150.0

-150.0

-100.0

-100.0

-50.0

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

-50.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

0.0

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

0.0

50.0

50.0

100.0

100.0

150.0

150.0

200.0

200.0

Fase 40 40 Step

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

Fase50 50 Step

-300.0

-300.0

-250.0

-250.0

-200.0

-200.0

-150.0

-150.0

-100.0

-100.0

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

-50.0

-50.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

0.0

160.0

0.0

0.0

50.0

50.0

100.0

100.0

150.0

150.0

200.0

200.0

20.0

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

40.0

60.0

80.0

100.0

120.0

140.0

160.0

4

Incremental launching

41/66

Shear during g launching g Fase Step60 60

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

Fase70 70 Step

-300.0

-300.0

-250.0

-250.0

-200.0

-200.0

-150.0

-150.0

-100.0

-100.0

-50.0

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

-50.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

0.0

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

0.0

50.0

50.0

100.0

100.0

150.0

150.0

200.0

200.0

Fase Step 80 80

Vg

Vsett. Vced

V temp

V+

V-

Vtot+

Vtot-

Fase90 90 Step

-300.0

-300.0

-250.0

-250.0

-200.0

-200.0

-150.0

-150.0

-100.0

-100.0

-50.0

Vg

Vced Vsett.

V temp

V+

V-

Vtot+

Vtot-

-50.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

0.0

160.0

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

0.0

50 0 50.0

50 0 50.0

100.0

100.0

150.0

150.0

200.0

200.0

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

SECONDINO VENTURA BRIDGE SLS Verifications

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

42/66

4

Incremental launching



Static scheme:



Actions:

43/66

¾ Self weight ¾ Prestressing (considering anchorage draw in and friction) ¾ Prestressing losses ¾ Permanent loads ¾ Termic variation between intrados and extrados of ± 5° ¾ Traffic loads

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

44/66

Prestressing layout – 1st span

19 T15 strands tendons

19 T15 strands tendons

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

Couplers for 19T15

4

Incremental launching

45/66

Prestressing layout – section AA S f Surface inclined 88° Live anchorage for 19 T15

Deck axis

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching Live anchorage for 19 T15

section 11

Bearings axis Live anchorage for 19 T15

Live anchorage for 19 T15

19 T15 strands tendons

section ti 22

Bearings axis

19 T15 strands tendons

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

section 33

Bearings axis

19 T15 strands tendons

46/66

4

Incremental launching Live g for anchorage 19 T15

47/66

section 55

Deck axis

19 T15 strands tendons Bearings axis

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

Prestressing layout – section BB

D k axis Deck i

19 T15 strands tendons

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

48/66

4

Incremental launching

49/66

Prestressing layout – section CC

19 T15 strands tendons

Deck axis

Couplers for 19T15

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

section 44

Couplers for 19T15

19 T15 strands tendons

Live anchorage for 19 T15

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

Pier axis

50/66

4

Incremental launching

51/66

Prestressing layout – 2nd span

Couplers for 19T15

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

Prestressing layout – section DD

Deck axis

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

19 T15 strands tendons

52/66

4

Incremental launching

53/66

Prestressing layout – 3rd span

Couplers for 19T15

Live anchorage for 19 T15

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

Prestressing layout – section GG

Deck axis

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

19 T15 strands t d tendons

54/66

4

Incremental launching Live anchorage for 19 T15

55/66

section 66 19 T15 strands tendons

Live anchorage for 19 T15

Bearings axis

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

56/66

Bending moment Self weight Peso proprio Permanent loads Permanenti portati

Prestressing Precompressione Temperature Gradiente gradient

Prestressing losses Cadute precompressione

‐25000 ‐20000 ‐15000 ‐10000

M[kN m m]

‐5000 0 5000 10000 15000 20000 25000 30000 35000 0.0

20.0

40.0

60.0

80.0

100.0

x [m] Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

120.0

140.0

160.0

180.0

4

Incremental launching

57/66

Internal actions (M,N) and relative stresses DEFINITIVE PRESTRESSING PRECOMPRESSIONE DEFINITIVA N [kN]

σ sup [MPa]

σ inf [MPa] 00 0.0

‐70000

‐2.0

‐60000

‐4.0

‐50000

‐6.0

‐40000

‐8.0

‐30000

‐10.0

‐20000

‐12.0

10000 ‐10000

‐14.0 14.0

0

‐16.0

10000

‐18.0

20000

Stresses Tensioni  [MPa]

M [kNm],  N [kN]

M [kN m] ‐80000

‐20.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

160.0

x [m] Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

58/66

Internal actions (M,N) and relative stresses S.L.E. IN ASSENZA PERMANENTI PORTATI (t=∞) S.L.S. WITHOUTDI PERMANENT LOADS ( t = ∞) N  

σ sup [MPa]

σ inf [MPa] 0.0

‐50000

‐2.0

‐40000 40000

40 ‐4.0

‐30000

‐6.0

‐20000

‐8.0

‐10000

‐10.0

0

‐12.0

10000

‐14.0

20000

‐16.0 0.0

20.0

40.0

60.0

80.0

100.0

x [m] Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

120.0

140.0

160.0

Stresses Tensioni  [MPa]

M [kNm],, N [kN]

M   ‐60000 60000

4

Incremental launching

59/66

Internal actions (M,N) and relative stresses S.L.S. QUASI-PERMANENT COMBINATION ( t = (t=∞) ∞) S.L.E. - COMBINAZIONE QUASI PERMANENTE N   σ sup M‐ [MPa] σ sup M

M‐ σ inf M‐ [MPa] σ inf M

σ sup M+ [MPa]

‐60000

0.0

‐50000

‐2.0

‐40000

‐4.0

‐30000

‐6 0 ‐6.0

‐20000

‐8.0

‐10000

‐10.0

0

‐12.0

10000

‐14.0 0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

Stresses S Tensioni  [M MPa]

M [kNm], N M N [kN]

M+   σ inf M+ [MPa] σ inf M [MPa]

160.0

x [m] Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

60/66

Internal actions (M,N) and relative stresses S.L.S. CHARACTERISTIC COMBINATION ( t = ∞) S.L.E. - COMBINAZIONE RARA (t=∞) N   σ sup M‐ [MPa] σ sup M

M‐ σ inf M‐ [MPa] σ inf M

σ sup M+ [MPa]

‐60000

0.0

‐50000

‐2.0

‐40000

‐4.0

‐30000

‐6.0

‐20000

‐8.0

‐10000

‐10.0

0

‐12.0

10000

‐14.0

20000

‐16.0 0.0

20.0

40.0

60.0

80.0

100.0

x [m] Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

120.0

140.0

160.0

Stresses S TTensioni  [M MPa]

M [kNm], N M N [kN]

M+   σ inf M+ [MPa] σ inf M+ [MPa]

4

Incremental launching

61/66

SECONDINO VENTURA BRIDGE ULS Verifications

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

62/66

Bending g moment diagram g (excluded isostatic internal actions due to prestressing) S.L.U. - COMBINAZIONE UII((t=∞) (t=∞) U.L.S. COMBINATION ) Msd [kN m]

Mrd [kN m]

‐80000 ‐60000

M M [kNm], N [ kN]

‐40000 ‐20000 0 20000 40000 60000 80000 100000 0.0

20.0

40.0

60.0

80.0

100.0

x [m]

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

120.0

140.0

160.0

4

Incremental launching

63/66

Ultimate limit state for shear and torsion Ultimate verification for shear of prestressed elements can be very complicated because of the necessity to take into account the interaction between compression fields due shear and prestressing. The EN1992 simplify the approach, using a formulation that, in general case, is on the safe side. Practically shear coming from prestressing (in an statically determined structure it is coincident to the vertical component of prestressing force) is subtracted to the shear due to the external actions. The limit resistance of the elements that don’t require q shear reinforcements ((VRd,c Rd c) is increased to take into account the arch-tie resisting system. Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

VRd,c = [CRd,ck(100 ρl fck)1/3 + k1 σcp] bwd Where:

CRd ,c =

k = 1+

ρl =

0.18

γc 200 ≤2 d

With d in millimeters

As ,l bw ⋅ d

k1 = 0.15 With a minimum of: Where: Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

64/66

4

Incremental launching

65/66

R i t Resistance off web b compression i fi fields ld (VRd,max) iis modified difi d tto ttake k iinto t account the interaction between longitudinal and inclined compression: VRd,max = αcw bw z ν1 fcd/(cotθ + tanθ ) ν1 = 0,6 ν1 = 0,9 – fck /200 > 0,5 αcw =1 αcw = (1 + σcp/fcd) αcw = 1,25 αcw =2,5 =2 5 (1 - σcp/fcd)

for fck ≤ 60 MPa for fck ≥ 60 MPa for non prestressed structure for 0 < σcp ≤ 0,25 fcd for 0,25 fcd < σcp ≤ 0,5 fcd for 0 0,5 5 fcd < σcp < 1,0 1 0 fcd

Prestressing g reinforcement can also be used to carry y the increment of the tensile force in the tensed chord due to shear. Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

4

Incremental launching

References • • •

CEB FIP Model Code 1990 CEB-FIP 1990, Thomas Telford – 1990 Eurocode 2 Design of concrete structures, Part 1-1: general rules and rules for buildings - 2003 E Eurocode d 2D Design i off concrete t structures t t – Part P t 2: 2 concrete t bridges - 2004

Politecnico di Torino Department of structural and geotechnical engineering “Bridge design”

66/66

View more...

Comments

Copyright ©2017 KUPDF Inc.
SUPPORT KUPDF