Refrences:
1.Bazant, Z.P. and Kazemi, M.T. Size e_ect on diagonal shear failure of beams without stirrups", ACI Structural Journal, 88(3), pp. 268-276 (1991).
2. Voo, Y.L., Poon, W.K., and Foster, S.J. Shear strength of steel _bre-reinforced ultrahigh-performance concrete beams without stirrups", Journal of Structural Engineering, ASCE, 136(11), pp. 1393-1400 (2010).
3. Graybeal, B.A. Characterization of the behavior of ultra-high performance concrete", Ph.D. Dissertation, Dept. of Civil and Environmental Engineering, University of Maryland, College Park, Maryland (2005).
4. Graybeal, B.A. Structural behavior of Ultra-high performance concrete prestressed I girders", FHWA, U.S. Department of Transportation, Report No. FHWAHRT- 06-115 (2006).
5. Graybeal, B.A. Structural behavior of a prototype Ultra-high performance concrete Pi-girder", FHWA, U.S. Department of Transportation, Report No. FHWA-HRT-10-027 (2009).
6. Zohrevand, P. and Mirmiran, A. Cyclic behavior of hybrid columns made of ultra high performance concrete and _ber reinforced polymers", Journal of Composites for Construction 16.1, ASCE, pp. 91-99 (2012). M. Pourbaba and A. Joghataie/Scientia Iranica, Transactions A: Civil Engineering 26 (2019) 273{282 281
7. Graybeal, B.A. Ultra-high performance concrete: A state-of-the-art report for the bridge community", FHWA, U.S. Department of Transportation, Report No. FHWA-HRT-13-060 (2013).
8. Meade, T.M. and Graybeal, B.A. Flexural response of lightly reinforced ultra-high performance concrete beams", Proceedings of the Third International _b Congress and Exhibition Incorporating the PCI Annual Convention and National Bridge Conference,Washington, DC (2010).
9. Steinberg, E. and Reeves, E. Structural reliability of UHPC bridge girders in exure", Proceedings of the PCI National Bridge Conference, Atlanta, GA (2004).
10. Sturwald, S. and Fehling, E. Design of reinforced UHPFRC in exure", Proceedings of Hipermat 2012 3rd International Symposium on UHPC and Nanotechnology for High Performance Construction Materials, Schmidt, M., Fehling, E., Glotzbach, C., Frohlich, S., and Piotrowski, S., Eds., Kassel University Press, Kassel, Germany, pp. 443-450 (2012).
11. Visage, E.T., Perera, K.D.S.R., Weldon, B.D., Jauregui, D.V., Newtson, C.M., and Guaderrama, L. Experimental and analytical analysis of the exural behavior of UHPC beams", In Proceedings of Hipermat 2012, 3rd International Symposium on UHPC and Nanotechnology for High Performance Construction Materials, Ed., Schmidt, M., Fehling, E., Glotzbach, C., Frohlich, S., and Piotrowski, S., Kassel University Press, Kassel, Germany, pp. 403-410 (2012).
12. Baby, F., Billo, J., Renaud, J.C., Massotte, C., Marchand, P., and Toutlemonde, F. Shear resistance of ultra-high performance _bre-reinforced concrete Ibeams", Fracture Mechanics of Concrete and Concrete Structures - High Performance, Fiber Reinforced Concrete, Special Loadings and Structural Applications, Korea Concrete Institute, pp. 1411-1417 (2010).
13. Baby, F., Marchand, P., and Toutlemonde, F. Shear behavior of UHPFRC beams. I: Experimental investigation", J. Struct. Eng., 140(5), 04013111 (2013).
14. Baby, F., Marchand, P., and Toutlemonde, F. Shear behavior of UHPFRC beams. II: Analysis and design provisions", J. Struct. Eng., 140(5), 4013112 (2013).
15. Cauberg. N, Pierard, J., and Parmentier, B. Shear capacity of UHPC-beam tests", Proceedings of Hipermat 2012, 3rd International Symposium on UHPC and Nanotechnology for High Performance Construction Materials, Ed., Schmidt, M., Fehling, E., Glotzbach, C., Frohlich, S., and Piotrowski, S., Kassel University Press, Kassel, Germany, pp. 451-458 (2012).
16. Fehling, E. and Thiemicke, J. Experimental investigation on I-shaped UHPC beams with combined reinforcement under shear load", Proceedings of Hipermat 2012, 3rd International Symposium on UHPC and Nanotechnology for High Performance Construction Materials, Schmidt, M., Fehling, E., Glotzbach, C., Frohlich, S., and Piotrowski, S., Kassel University Press, Kassel, Germany, pp. 477-484 (2012).
17. Hegger, J., Tuchlinski, D., and Komner, B. Bond anchorage behavior and shear capacity of ultra high performance concrete beams", Proceedings of the International Symposium on Ultra High Performance Concrete, Schmidt, M., Fehling, E., and Geisenhansl uke, C., Eds., Kassel University Press, Kassel, Germany, pp. 351-360 (2004).
18. Hegger, J. and Bertram, G. Shear carrying capacity of steel _ber reinforced UHPC", Proceedings of the Second International Symposium on Ultra High Performance Concrete, Fehling, E., Schmidt, M., and Sturwald. S., Eds., Kassel University Press, Kassel, Germany, pp. 513-520 (2008).
19. Tompos, E.J. and Frosch, R.J. Inuence of beam size, longitudinal reinforcement, and stirrup e_ectiveness on concrete shear strength", ACI Structural Journal, 99- S57, pp. 559-567 (2002).
20. Kwak, Y.K., Eberhard, M.O., and Kim, J. Shear strength of steel _ber-reinforced concrete beams without stirrups", ACI Structural Journal, 99-S55, pp. 530-538 (2002).
21. MacGregor, J.G., Reinforced Concrete: Mechanics and Design, In Prentice - Hall Inc., Upper Saddle River, N.J. (1997). 22. Nadim, H. and Al-Manaseer, A. Structural Concrete: Theory and Design, in John Wiley & Sons, Inc., Hoboken, New Jersey (2015).
23. Pourbaba, M. Shear capacity of ultra-high performance concrete rectangular beams", PhD Dissertation, Department of Civil Engineering, Sharif University of Technology, International Campus, Kish Island (2017).
24. ACI Committee 318 Building code requirements for structural concrete (ACI315-05) and commentary (318R-05)", In American Concrete Institute, Farmington Hills, Mich., p. 430 (2005).
25. McCormac, J.C. and Nelson, J.K., Design of Reinforced Concrete, in John Wiley (2005).
26. EN 14651, Test Method for Metallic Fibered Concrete- Measuring the Flexural Tensile Strength (Limit of Proportionality (LOP), Residual), CEN (European Committee for Standardization), Brussels, Belgium, (2005).
27. RILEM TC 162-TDF Test and design methods for steel _bre reinforced concrete, _nal recommendations", Materials and Structures, 36, pp. 560-567 (2003).
28. _b model code for concrete structures 2010", International Federation for Structural Concrete, Lausanne, Switzerland (2013).
29. Gowripalan, N. and Gilbert, I.R. Design Guidelines for Ductal Prestressed Concrete Beams, School of Civil and Environmental Engineering, The University of NSW, Australia, p. 53 (2000).
30. Design and construction of concrete structures", Iranian National Building Regulations, Ministry of Roads & Urban Development, Islamic Republic of Iran, Tehran (2000).