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Engineering Structures 22 (2000) 1145–1158 www.elsevier.com/locate/engstruct Effect of the concrete compressive strength and tensile reinforcement ratio on the exural behavior of brous concrete beams Samir A. Ashour  * , Faisal F. Wafa, Mohmd I. Kamal Civil Engineering Department King Abdulaziz University, Jeddah, Saudi Arabia Received 18 January 1999; received in revised form 22 April 1999; accepted 4 June 1999 Abstract Twenty seven reinforced concrete beams were tested to study the effects of steel bers, longitudinal tensile reinforcement ratio and concrete compressive strength on the exural behavior of reinforced concrete beams. Concrete compressive strengths of 49, 79 and 102 MPa and tensile reinforcement ratios of 1.18, 1.77 and 2.37% were used. The ber contents were 0.0, 0.5 and 1.0% by volume. The results show that the additional moment strength provided by bers was not affected by the amount of tensile reinforcement ratio. However, the concrete compressive strength inuenced the ber contribution signicantly. The exural rigidity increases as the concrete compressive strength and steel ber content increases. The transition of effective moment of inertia from uncracked to fully cracked sections depends strongly on the considered variables. A previously propose d formu la in the literatu re for the estimation of the effect ive moment of inertia is modied to conside r the effect of reinforce- ment ratio and concret e compressive strengt h as well as ber content.  © 2000 Publish ed by Elsevi er Science Ltd. All right s reserv ed. Keywords: Beams (supports); Compressive strength; Cracking; Deection; Flexural strength; Flexural rigidity; High-strength concrete; Moment of inertia; Reinforced concrete; Steel bers; Tensile reinforcement ratio 1. Introd uction The maximum potentiality of high-strength concrete (HSC) cannot be realized fully in structures due to the britt leness of the material and the serviceab ility prob- lems ass oci ate d wit h the res ult ing red uce d cross-sec - tional dimension. Addition of bers to high-strength con- crete converts its brittleness into a more ductile behavior. Whe n concre te cracks, the ran domly ori ent ed be rs arrest bot h microc rac kin g and its pro pag ati on, thus improving strength and ductility. Addition of bers only slightly inuences the ascending portion of the stress- strain curve but leads to a noticeable increase in the peak strain (strain at peak stress) and a signicant increase in ductility [1,2]. Researches conducted on the exural behavior of ber rei nfo rce d con cret e (FRC) bea ms hav e bee n concen- * Corre spon ding author. Tel.:  +966-2-695-2488; fax:  +966-2-695- 2179.  E-mail address:  [email protected] (S.A. Ashou r). 0141-0296/00/$ - see front matter  © 2000 Published by Elsevier Science Ltd. All rights reserved. PII: S0141 -0296 (99)00 052-8 trated on the prediction of the ultimate exural strength and the load deformation behavior in terms of various material parameters [3–15]. Less attention was given to the exural rigidity of FRC beams in the service load range. Several methods have been proposed for calculat- ing the deections of reinforced concrete exural mem- bers subjected to short and long-term loadings [16–20], howeve r, tho se met hods dea l mai nly wit h non br ous concrete, and differences may exist for FRC beams. The deter minat ion of short -term deection requires the estimation of the moment of inertia,  I , of the beam which depends on the degree of cracking that has taken place in the member. For loads below the cracking load, comput ati on of deection may be based on the gro ss concr ete section,  I g . Howeve r, as the load increases above the cracking load, the member will crack at dis- crete intervals because the tensile strength of the con- crete has been exceeded, and all tensile stress is carried by the steel reinforcement. The neutral axis will uctuate between cracks causing variation of the curvatures along the member length and reducing the exural rigidity of the section. The value of  I  changes along the beam span

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