Evaluation of minimum reinforcement ratio in FRC members and application to tunnel linings

Matériaux et constructions - Tập 40 - Trang 593-604 - 2006
B. Chiaia1, A. P. Fantilli1, P. Vallini1
1Department of Structural and Geotechnical Engineering, Politecnico di Torino, Torino, Italy

Tóm tắt

In lightly reinforced concrete (RC) structures, the area of steel cannot be lower than a minimum value, so that the ultimate limit state can be reached under a yielding moment higher than the cracking moment. Also in the serviceability stage, a minimum amount of reinforcement should be provided in tensile zones, in order to reduce crack widths. In fiber-reinforced concrete (FRC) members, due to the presence of structural fibers in the cementitious matrix, the minimum amount of steel area can be significantly reduced. Fiber can guarantee tensile stresses in a cement-based matrix even in the presence of wide cracks. Therefore, for the same cross-section of steel, a reinforced FRC member in bending can show higher bending moments, and reduced crack widths, than those measured in classical RC beams. This is particularly true in case of massive members, like the structures of tunnel linings. For such elements, and starting from the constitutive relationships recommended by Rilem TC 162-TDF, a new approach for the evaluation of minimum reinforcement area is proposed in this paper. By means of this nonlinear model, it is possible to calculate a reinforcement area lower than that calculated according to Eurocode 2 and Rilem TC 162-TDF prescriptions.

Tài liệu tham khảo

Levi F (1985) On minimum reinforcement in concrete structures. ASCE J Struct Eng 111(12):2791–2796 Ruiz G, Elices M, Planas J (1999) Size effect and bond-slip dependence of lightly reinforced concrete beams. In: Carpinteri A (ed) Minimum reinforcement in concrete members, ESIS Publication 24. Elsevier, Oxford, pp 67–97 Fantilli AP, Ferretti D, Rosati G (2005) Effect of bar diameter on the behavior of lightly reinforced concrete beams. ASCE J Mater Civil Eng 17(1):10–18 Leonhardt F (1988) Cracks and crack control in concrete structures. PCI J 33(4):124–145 Fantilli AP, Ferretti D, Iori I, Vallini P (1999) Behaviour of R/C elements in bending and tension: the␣problem of minimum reinforcement ratio. In: Carpinteri A (ed) Minimum reinforcement in concrete members. ESIS Publication 24. Elsevier, Oxford, pp␣99–125 CEB/fib (1993) CEB-FIP Model Code 1990, bulletin d’information. Thomas Telford, London, pp 203–205 ENV 1992-1-1 (1992) Eurocode 2: design of concrete structures—Part 1: general rules and rules for buildings. European Commission, Brussels ACI 318-95 (1995) Building code requirements for structural concrete. American Concrete Institute, Farmington Hills, Michigan Rilem TC 162-TDF (2003) σ–ɛ design method – final recommendation. Mater Struct 36:560–567 Balaguru PN, Shah SP (1992) Fiber-reinforced cement composites. McGraw-Hill Inc, New York Falkner H, Henke V (2005) Steel fibre reinforced concrete, from research to standards. Conc Struct – Annu Tech J Hung Group fib 6:39–46 Chiaia B, Fantilli AP, Vallini P, Kalamaras G (2005) Minimum reinforcement in FRC members: the case of tunnel linings. In: Barla G, Barla M (eds) 11th international conference of IACMAG. Patron Editore, Bologna, pp 395–402 Casanova P, Rossi P, Shaller I (1997) Can steel fibers replace transverse reinforcement in reinforced concrete beams. ACI Mater J 94(5):341–354 Hu X, Day R (2000) Uniaxial stress-strain relationship of cementitious composites – a review. In: Rossi P, Chanvillard G (eds) Fifth RILEM symposium on fibre-reinforced concretes (FRC). Rilem Publication s.a.r.l, pp 431–440 Hillerborg A, Modéer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Conc Res 6(6):773–782 Hillerborg A (1980) Analysis of fracture by means of the fictitious crack model, particularly for fibre reinforced concrete. Int J Cem Compos 2(4):177–184 Rilem 50-FMC (1985) Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams. Mater Struct 18:285–290 Hillerborg A (1985) The theoretical basis of a method to determinate the fracture energy GF of concrete. Mater Struct 18:291–296 Rilem TC 162-TDF (2002) Bending test – final recommendation. Mater Struct 35:579–582 Bazant ZP, Cedolin L (1991) Stability of structures – elastic, inelastic, fracture and damage theories. Oxford University Press, Oxford Fantilli AP, Vallini P (2003) A cohesive model for fiber-reinforced composites. In: Bontempi F (ed) Second international structural engineering and construction conference ISEC-02. Swets & Zeitlinger, Lisse, pp 1443–1449 Fantilli AP, Mihashi H, Vallini P (2005) Strain compatibility between HPFRCC and steel reinforcement. Mater Struct 38:495–503 Walther R, Miehlbradt M (1990) Dimensionnement des structures en béton. Bases et technologie. Presses Politechniques Universitaires Romandes, Lausanne (In French) Barla G, Barpi F, Bertolino C, Chiaia B (2003) A note on the design of fibre-reinforced shotcrete linings for underground support. In: Bicanic N, de Borst R, Mang H, Meschke G (eds) Computational modeling of concrete structures EURO-C 2003. A.A. Balkema Publishers, Lisse, pp 627–634 Bosco C, Carpinteri A, Debernardi PG (1990) Minimum reinforcement in high-strength concrete. ASCE J Struct Eng 116:427–437