The SUREBridge Software Tool

Transcription

1 The SUREBridge Software Tool Ing. Cristiano Alocci University of Pisa

2 Outline The SUREBridge Software Tool Overview Main features Design model Hypotheses Iterative algorithm Calculation example Sample cross section Main window of the software tool Data input Results Conclusion 2

3 The SUREBridge Software Tool Overview SCOPE OF WORK The SUREBridge Software Tool evaluates the ultimate bending moment of bridge cross sections made of reinforced/pre-stressed concrete. The bridge cross sections can be strengthened by GFRP decks and/or passive/pre-stressed CFRP laminates. MAIN AUTHORS Cristiano ALOCCI (1) Fabio RICCI (2) Paolo S. VALVO (1) CO-AUTHORS Erika DAVINI (1) Antonfranco PASQUALE (2) (1) University of Pisa, Italy (2) AICE Consulting Srl, Ghezzano, Pisa, Italy 3

4 The SUREBridge Software Tool Main Features Supported types of Base Bridge Sections 2 Reinforced Concrete Pre-Stressed Concrete Supported types of Reinforcement 5 Standard steel rebars Pre-stressed steel tendons Standard CFRP laminates Pre-stressed CFRP laminates GFRP decks Max number of reinforcements Unlimited Wizard function for static properties of GRFP decks Available function for materials variable strength Concrete + Reinforcements 4

5 Design model Hypotheses The design model aims at estimating the ultimate bending strength of the strengthened sections MAIN HYPOTHESES: Plane sections remain plane The strain in reinforcement is the same as in the concrete The tensile strength of concrete is ignored The connection CFRP laminates-concrete is perfect The connection GFRP deck-concrete is perfect The section is symmetric and the bending is simple MATERIALS ASSUMPTIONS: STRESS/STRAIN RELATIONSHIPS CONCRETE Elastic-Plastic STEEL BARS - ROPES CFRP LAMINATES GFRP DECKS Elastic-Plastic Elastic-Brittle Elastic-Brittle 5

6 Design model Iterative algorithm Main scheme of the algorithm: ITERATIVE ALGORITHM SOLVING EQUILIBRIUM EQUATIONS INPUT Axial force Ned = 0 Ned = E i ε i da = 0 Area Bending strength Mrd Neutral axis da y x HYPOTHESIS: FAILURE MODE x (mm) Mrd = E i ε i y da Area x (mm) IS MODIFIED CALCULATION OF ITERATION VARIABLES FAILURE MODE IS MODIFIED FAILURE MODES 5 CFRP laminates failure Pre-stressed steel failure Steel rebars failure Concrete failure GFRP deck failure OUTPUT Mrd NO YES Ned = 0? YES εi ε_udi? NO 6

7 Calculation example Cross section Main data are listed below. Concrete T-Section 500x x400 mm grade C35/45 Standard steel rebars 2+3 Ø16 grade B500B CFRP pre-stressed laminates (Area 128 mm 2 σ f0 = MPa) GFRP deck (height 150 mm, width 500 mm, skins thickness 19.1 mm, 5 webs t = 8.5 mm) Materials partial factors from Eurocode 2 7

8 Calculation example Main window of the software tool MENU File opening/saving Authors/version info DATA INPUT Concrete cross section Standard steel rebars Pre-stressed steel CFRP laminates GFRP deck RESULTS OUTPUT Bending strength Failure mode Distance of neutral axis Other detailed outputs 8

9 Calculation example Data input (1/4) Concrete 9

10 Calculation example Data input (2/4) Standard steel 10

11 Calculation example Data input (3/4) CFRP laminates 11

12 Calculation example Data input (4/4) GFRP deck 12

13 Calculation example Results 13

14 Conclusion The SUREBridge Software Tool enables quick evaluation of the ultimate bending moment of bridge cross sections strengthened by GFRP decks and/or passive/pre-stressed CFRP laminates Albeit based on a simplified mechanical model, the obtained results are in line with those of more complex non-linear finite element analyses and experimental tests Thank you for the attention 14

15 The SUREBridge Software Tool Workpackage: Author(s): Date: WP 4 CA Copyright All rights reserved. This publication is produced by SUREBRIDGE work group. Any duplication or use of objects such as diagrams in other electronic or printed publications is not permitted without the author's agreement. This project has received funding from the European Union s Seventh Framework Programme for research, technological development and demonstration under grant agreement No SUREBRIDGE is co-funded by Funding Partners of The ERA-NET Plus Infravation and the European Commission. The Funding Partners of the Infravation 2014 Call are: MINISTERIE VAN INFRASTRUCTUUR EN MILIEU, RIJKSWATERSTAAT BUNDESMINISTERIUM FÜR VERKEHR, BAU UND STADTENTWICKLUNG, DANISH ROAD DIRECTORATE, STATENS VEGVESEN VEGDIREKTORATET, TRAFIKVERKET TRV, VEGAGERÐIN, MINISTERE DE L'ECOLOGIE, DU DEVELOPPEMENT DURABLE ET DE L'ENERGIE, CENTRO PARA EL DESARROLLO TECNOLOGICO INDUSTRIAL, ANAS S.p.A., NETIVEI, ISRAEL - NATIONAL TRANSPORT INFRASTRUCTURE COMPANY LTD, FEDERAL HIGHWAY ADMINISTRATION USDOT