Title:
Three-Parameter Kinematic Theory for Shear Behavior of Continuous Deep Beams
Author(s):
Boyan I. Mihaylov, Bradley Hunt, Evan C. Bentz, and Michael P. Collins
Publication:
Structural Journal
Volume:
112
Issue:
1
Appears on pages(s):
47-58
Keywords:
deep beams; differential settlement; kinematics; redistribution; shear strength; ultimate deformations
DOI:
10.14359/51687180
Date:
1/1/2015
Abstract:
This paper presents a theory for predicting shear strengths, deformations, and crack widths near failure of continuous deep
beams. To describe the deformations in continuous deep beams, the theory uses a three-degree-of-freedom kinematic model (3PKT), which is an extension of an earlier two-degree-of-freedom model (2PKT) for members in single curvature. The extended model is validated with the help of measured local and global deformations taken during loading to failure of a large continuous deep beam. The accuracy of the shear-strength predictions given by the theory is evaluated using a database of 129 published tests of continuous deep beams. The theory enables the load distribution and failure loads of continuous deep beams subject to differential settlement
to be evaluated.
Related References:
1. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-11) and Commentary,” American Concrete Institute, Farmington Hills, MI, 2011, 503 pp.
2. Vecchio, F. J., “Disturbed Stress Field Model for Reinforced Concrete: Formulation,” Journal of Structural Engineering, ASCE, V. 127, No. 1, 2001, pp. 12-20. doi: 10.1061/(ASCE)0733-9445(2001)127:1(12)
3. Senturk, A. E., and Higgins, C., “Evaluation of Reinforced Concrete Deck Girder Bridge Bent Caps with 1950s Vintage details: Analytical methods,” ACI Structural Journal, V. 107, No. 5, Sept.-Oct. 2010, pp. 544-553.
4. Hong, S. G.; Hong, N. K.; and Jang, S. K., “Deformation Capacity of Structural Concrete in Disturbed Regions,” ACI Structural Journal, V. 108, No. 3, May-June 2011, pp. 267-276.
5. Mihaylov, B. I.; Bentz, E. C.; and Collins, M. P., “A Two Degree of Freedom Kinematic Model for Predicting the Deformations of Deep Beams,” CSCE 2nd International Engineering Mechanics and Materials Specialty Conference, Ottawa, ON, Canada, June 2011, 10 pp.
6. Mihaylov, B. I.; Bentz, E. C.; and Collins, M. P., “Two-Parameter Kinematic Theory for Shear Behavior of Deep Beams,” ACI Structural Journal, V. 110, No. 3, May-June 2013, pp. 447-456.
7. Mihaylov, B. I., “Behavior of Deep Reinforced Concrete Beams under Monotonic and Reversed Cyclic Load,” doctoral thesis, European School for Advanced Studies in Reduction of Seismic Risk, Pavia, Italy, 2008, 379 pp.
8. 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.
9. Moody, K. G.; Viest, I. M.; Elstner, R. C.; and Hognestad, E., “Shear Strength of Reinforced Concrete Beams Part 2—Tests of Restrained Beams without Web Reinforcement,” ACI Journal Proceedings, V. 51, No. 1, Jan. 1955, pp. 417-434.
10. Rogowsky, D. M., and MacGregor, J. G., “Tests of Reinforced Concrete Deep Beams,” ACI Journal Proceedings, V. 83, No. 4, July-Aug. 1986, pp. 614-623.
11. Ashour, A. F., “Tests of Reinforced Concrete Continuous Deep Beams,” ACI Structural Journal, V. 94, No. 1, Jan.-Feb. 1997, pp. 3-11.
12. Asin, M., “The Behaviour of Reinforced Concrete Continuous Deep Beams,” doctoral thesis, Delft University Press, Delft, the Netherlands, 1999, 167 pp.
13. Yang, K.-H.; Chung, H.-S.; and Ashour, A. F., “Influence of Shear Reinforcement on Reinforced Concrete Continuous Deep Beams,” ACI Structural Journal, V. 104, No. 4, July-Aug. 2007, pp. 420-429.
14. Yang, K.-H.; Chung, H.-S.; and Ashour, A. F., “Influence of Section Depth on the Structural Behaviour of Reinforced Concrete Continuous Deep Beams,” Magazine of Concrete Research, V. 59, No. 8, 2007, pp. 575-586. doi: 10.1680/macr.2007.59.8.575
15. Zhang, N., and Tan, K.-H., “Effects of Support Settlement on Continuous Deep Beams and STM Modeling,” Engineering Structures, V. 32, No. 2, 2010, pp. 361-372. doi: 10.1016/j.engstruct.2009.09.019
16. AASHTO, “AASHTO LRFD Bridge Design Specifications,” fourth edition, American Association of State Highway Officials, Washington, DC, 2007, 1526 pp.
17. Bentz, E. C.; Vecchio, F. J.; and Collins, M. P., “Simplified Modified Compression Field Theory for Calculating Shear Strength of Reinforced Concrete Members,” ACI Structural Journal, V. 103, No. 4, July-Aug. 2006, pp. 614-624.
18. Craig, R. F., Soil Mechanics, seventh edition, E&FN Spon, London, UK, 2004, 447 pp.