Prediction of Shear Strength in High-Strength Concrete Beams without Web Reinforcement Considering Size Effect

- Journal title : Journal of the Korea Concrete Institute
- Volume 15, Issue 6, 2003, pp.820-828
- Publisher : Korea Concrete Institute
- DOI : 10.4334/JKCI.2003.15.6.820

Title & Authors

Prediction of Shear Strength in High-Strength Concrete Beams without Web Reinforcement Considering Size Effect

Bae, Young-Hoon; Yoon, Young-Soo;

Bae, Young-Hoon; Yoon, Young-Soo;

Abstract

Recent research has indicated that the current ACI shear provision provides unconservative predictions for large slender beams and beams with low level of longitudinal reinforcement, and conservative results for deep beams. To modify some problems of ACI shear provision, ultimate shear strength equation considering size effect and arch action to compute shear strength in high-strength concrete beams without stirrups is presented in this research. Three basic equations, namely size reduction factor, rho factor, and arch action factor, are derived from crack band model of fracture mechanics, analysis of previous some shear equations for longitudinal reinforcement ratio, and concrete strut described as linear prism in strut-tie model deep beams. Constants of basic equations are determined using statistical analysis of previous shear testing data. To verify proposed shear equation for each variable, effective depth, longitudinal reinforcement ratio, concrete compressive strength and shear span-to-depth ratio, about 300 experimental data are used and proposed shear equation is compared with ACI 318-99 code, CEB-FIP Model code, Kim &Park`s equation and Zsutty`s equation. The proposed shear equation is not only simpler than other shear equations, it is but also shown to be economical predictions and reasonable safety margin. Hence proposed shear strength equation is expected to be applied to practical shear design.

Keywords

shear strength equations;reinforced concrete beams;size effect;arch action;regression analysis;

Language

Korean

Cited by

1.

FRP Rods로 보강한 콘크리트 보의 전단 내하력의 평가,최익창;연준희;고재용;

한국해양공학회지, 2004. vol.18. 1, pp.63-68

2.

스터럽이 없는 고강도 콘크리트 보의 전단강도 예측을 위한 새로운 예측식의 제안,최정선;이창훈;윤영수;

References

1.

ACI Committee 318, 'Buitding Code Requirements for Reinforced Concrete (ACI 318-99)and Commentary (318R-99)' American ConcreteInstitute, Detroit, 1999, pp.133-180

2.

Rebeiz, K. S., 'Shear Strength Prediction for Concrete Members,' Journal of Structural Engineering, ASCE, Vol.125, No.3, 1999, pp.301-308

3.

강성후, 박선준, '콘크리트 파괴역학,' 제1판, 구미서관,2002, pp.105-160

4.

Collins, M P. and Kuchma, D., 'How Safe Are OurLarge, lightly Reinforced Concrete Beams, Slabs,and Footings,' ACI Structural Joumal, Vo1.96, No.4, 1999, pp.482-490

5.

Shah, S. R; Swartz, S. E., and Ouyang, C.,'Fracture Mecbardcs of Concrete' John Wiley &Sons, Inc., New York, 1995, pp.120-123

6.

Comite Euro-Intemational du Beton (CEB), 'CEB-FIP Model Code 1990' 1990, pp.145-240

7.

Zsutty, T.C, 'Beam Shear Strength Prediction byAnalysis of Existing Data,' ACI Journal,Proceedings Vol.65, No.11, 1968, pp.943-951

8.

Angelakos, D., et al., 'Effect of Concrete Strengthand Minimum Stirrups on Shear Strength of Large Members,' ACI Structural JournaI, Vo1.98, No.3,2001, pp.290-299

9.

Kim J. K and Park, Y. D., 'Prediction of Shear Strength of Reinforced Concrete Beams without Web Reinforcement,' ACI MateriaI Journal, Vol.93, No.3, 1996, pp.213-222

10.

Bazant, Z. P. and Kim, J. K, 'Size Effect in ShearFailure of Longitudinally Reinforced Cono-eteBeams,' ACI JournciI, Proceedings Vol.93, No.5,Sep.-Oct. 1984, pp.456-468

11.

Johnson, M. K. and Ramirez, J. A, 'Minimum Shear Reinforcement in Beams with Higher Strength Concrete,' ACI Structural Journal, Vol.86, No.4, 1989, pp.376-382

12.

Kani, G. J., 'How Safe Are Our Large Reinforced Concrete Beams,' ACI JournaI, Proceedings Vol.64, No.3, March 1967, pp.128-141

13.

Thurston, C. W., et al. 'Studies of the Shear andDiagonal Tension Strength of Simply SupportedReinforced Concrete Beams,' ACI Journal, Proceedings Vol.63, No.4, April 1966, pp.451-476

14.

Mphonde, A. G., et al. 'Shear Tests of High-andLow-Strength Concrete Beams without Stirrups,'ACI Jounvd, Proceedings Vo1.81, No.4, Jul.-Aug.1984, pp.350 -357

15.

Shin, S. W., et al. 'Shear Strength of Rein-forcedHigh-Strength Concrete Beams with ShearSpan-to-Depth Ratios between 1.5 and 2.5,' ACIStructural Jounvl, Vol.96, No.4, 1999, pp.549-556

16.

Kim D. J., et al. 'Arch Action in ReinforcedConcrete Beams U A Rational Prediction of ShearStrength,' ACI Structured Joumal, Vo1.96, No.4,1999, pp.586-593

17.

Kuchma, D., 2000, http://www.ce.uiuc.edu/kuchma/sheardatabank

18.

Yoon, Y. S., et al. 'Minimum Shear Reinforcement in Normal, Medium, and High-Strength Concrete Beams,' ACI Structural Journal, Vol.93, No.5, 1996, pp.576-584

19.

Response 2000, http://www.ecf.utoronto.ca/~bentz