Title:
Effect of Geometric Scaling on Shear Strength of Reinforced Concrete Beams without Stirrups
Author(s):
Derek Daluga, Kaylor McCain, Matthew Murray, and Santiago Pujol
Publication:
Structural Journal
Volume:
115
Issue:
1
Appears on pages(s):
5-14
Keywords:
maximum aggregate size; reinforced concrete; scaling; shear; size effect
DOI:
10.14359/51700947
Date:
1/1/2018
Abstract:
The experimental work and studies reported in this article were undertaken to study the effects of dimensional changes on the unit shear strength of reinforced concrete beams. The tests included the following variables: beam depth; maximum aggregate size; and bar cover, size, and spacing. Studies of the experimental results suggested that if changes in the considered variables are controlled so that the variables change in the same proportion, the variation in the experimental results is not more than the expected scatter in results from nominally identical beams.
Related References:
1. Kani, G. N. J., “How Safe Are Our Large Reinforced Concrete Beams?” ACI Journal Proceedings, V. 64, No. 3, Mar. 1967, pp. 128-141.
2. Collins, M. P., and Kuchma, D. A., “How Safe Are Our Large, Lightly Reinforced Concrete Beams, Slabs, and Footings?” ACI Structural Journal, V. 96, No. 4, July-Aug. 1999, pp. 482-490.
3. Collins, M. P.; Bentz, E. C.; Quach, P. T.; and Proestos, G. T., “The Challenges of Predicting the Shear Strength of Very Thick Slabs,” Concrete International, V. 37, No. 11, Nov. 2015, pp. 29-37.
4. Bažant, Z. P., and Kim, J., “Size Effect in Shear Failure of Longitudinally Reinforced Beams,” ACI Journal Proceedings, V. 81, No. 5, Sept.-Oct. 1984, pp. 456-468.
5. Vecchio, F. J., and Collins, M. P., “The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal Proceedings, V. 83, No. 2, Mar.-Apr. 1986, pp. 219-231.
6. Bažant, Z. P., and Yu, Q., “Design against Size Effect on Shear Strength of Reinforced Concrete Beams without Stirrups: II. Verification and Calibration,” Journal of Structural Engineering, ASCE, V. 131, No. 12, 2005, pp. 1886-1897. doi: 10.1061/(ASCE)0733-9445(2005)131:12(1886)
7. Joint ACI-ASCE Committee 326, “Shear and Diagonal Tension,” ACI Journal Proceedings, V. 59, No. 2, Feb. 1962, pp. 277-333.
8. ACI Committee 318, “Building Code Requirements for Reinforced Concrete (ACI 318-63),” American Concrete Institute, Farmington Hills, MI, 1963, 144 pp.
9. Murray, M. R., “An Investigation of the Unit Shear Strength of Geometrically Scaled Reinforced Concrete Beams,” thesis, Purdue University, West Lafayette, IN, 2010, 106 pp.
10. Leonhardt, F., and Walther, R., “Contribution to the Treatment of Shear in Reinforced Concrete,” Technical Translation 1172, J. P. Verschuren and J. G. MacGregor, translators, 1962, 183 pp.
11. Iguro, M.; Shioya, T.; Nojiri, Y.; and Akiyama, H., “Experimental Studies on Shear Strength of Large Reinforced Concrete Beams under Uniformly Distributed Load,” Concrete Library of JSCE, translation from Proceedings of JSCE, V. 1, No. 348, Aug. 1984, 18 pp.
12. Frosch, R. J., “Behavior of Large-Scale Reinforced Concrete Beams with Minimum Shear Reinforcement,” ACI Structural Journal, V. 97, No. 6, Nov.-Dec. 2000, pp. 814-820.
13. Sherwood, E. G.; Bentz, E. C.; and Collins, M. P., “Effect of Aggregate Size on Beam-Shear Strength of Thick Slabs,” ACI Structural Journal, V. 104, No. 2, Mar.-Apr. 2007, pp. 180-190.
14. Sneed, L. H., and Ramirez, J. A., “Effect of Depth on the Shear Strength of Concrete Beams without Shear Reinforcement—Experimental Study,” PCA R&D SN2921 Report, Portland Cement Association, Skokie, IL, 2008, 182 pp.
15. Yu, Q., and Bažant, Z. P., “Can Stirrups Suppress Size Effect on Shear Strength of RC Beams?” Journal of Structural Engineering, ASCE, V. 137, No. 5, 2011, pp. 607-617. doi: 10.1061/(ASCE)ST.1943-541X.0000295
16. Reineck, K.; Kuchma, D. A.; Kim, K. S.; and Marx, S., “Shear Database for Reinforced Concrete Members without Shear Reinforcement,” ACI Structural Journal, V. 100, No. 2, Mar.-Apr. 2003, pp. 240-249.
17. Lubell, A.; Sherwood, E.; Bentz, E. C.; and Collins, M. P., “Safe Shear Design of Large, Wide Beams,” Concrete International, V. 26, No. 1, Jan. 2004, pp. 66-78.
18. Sherwood, E. G.; Lubell, A.; Bentz, E. C.; and Collins, M. P., “One-Way Shear Strength of Thick Slabs,” ACI Structural Journal, V. 103, No. 6, Nov.-Dec. 2006, pp. 794-802.
19. Broms, B. B., “Crack Width and Crack Spacing in Reinforced Concrete Members,” ACI Structural Journal, V. 62, No. 10, Oct. 1965, pp. 1237-1255.
20. Shioya, T., “Shear Properties of Large Reinforced Concrete Member,” Special Report, Institute of Technology, Shimizu Corp., No. 25, 1989, 198 pp.
21. Shioya, T.; Iguro, M.; Nojiri, Y.; Akiyama, H.; and Okada, T., “Shear Strength of Large Reinforced Concrete Beams,” Fracture Mechanics: Application to Concrete, SP-118, V. C. Li and Z. P. Bažant, eds., American Concrete Institute, Farmington Hills, MI, 1989, pp. 259-279.
22. Bentz, E. C., and Collins, M. P., “Development of the 2004 CSA A23.3 Shear Provisions for Reinforced Concrete,” Canadian Journal of Civil Engineering, V. 33, No. 5, 2006, pp. 521-534. doi: 10.1139/l06-005
23. Sneed, L. H., 2007. “Influence of Member Depth on the Shear Strength of Concrete Beams,” PhD thesis, Purdue University, West Lafayette, IN, 2007, 259 pp.
24. Taylor, H. P. J., “Shear Strength of Large Beams,” Journal of the Structural Division, ASCE, V. 98, Nov. 1972, pp. 2473-2490.
25. American Concrete Institute, http://www.concrete.org. (last accessed Jan. 30, 2015)
26. McCain, K., “The Effect of Scale on the Resistance of Reinforced Concrete Beams to Shear,” thesis, Purdue University, West Lafayette, IN, 2012, 155 pp.
27. Daluga, D. R., “The Effect of Maximum Aggregate Size on the Shear Strength of Geometrically Scaled Reinforced Concrete Beams,” thesis, Purdue University, West Lafayette, IN, 2015, 200 pp.
28. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-14) and Commentary (ACI 318R-14),” American Concrete Institute, Farmington Hills, MI, 2014, 519 pp.
29. Bhal, N. S., “The Effect of Beam Depth on the Shear Capacity of Single Span Reinforced Concrete Beams with and without Shear Reinforcement,” PhD thesis, University of Stuttgart, Stuttgart, Germany, 1968, 124 pp.