Technical Papers
Sep 21, 2013

Statistical Determination of Cracking Probability for Mass Concrete

Publication: Journal of Materials in Civil Engineering
Volume 26, Issue 9

Abstract

This study addresses the use of a stress-to-strength ratio as a failure criterion for thermal cracking. Restrained cracking frame specimens and accompanying match-cured concrete cylinders were tested to determine the ratio of stress-to-splitting tensile strength at cracking. A stress-to-splitting tensile strength ratio of 0.57 was found to give a 50% probability of cracking and lognormal standard deviation of 0.16 when splitting tensile cylinders sized 100×200mm (4×8in.) and 150×150mm (6×6in.) rigid cracking frame specimens were used to determine the stress at cracking. Lognormal fits of the cracking stress from 64 cracking frame tests and the tensile strength calculated from the measured compressive strength using three commonly used equations based on compressive strength were developed.

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Acknowledgments

The authors wish to express their gratitude to the Texas Department of Transportation through Project 0-4563 for funding this research. The work of Jason Meadows at Auburn University in performing some of the rigid cracking frame and concrete mechanical property tests is also gratefully acknowledged. The guidance and assistance of Dr. Rupert Springenschmid and Mr. Erwin Gierlinger to develop the cracking frame test setup are appreciated. Dr. Klaas van Breugel is thanked for providing information on concrete splitting tensile testing performed.

References

American Association of State Highway and Transportation Officials (AASHTO). (2008). “Standard practice for estimating the crack tendency of concrete.” T 334-08, Washington, DC.
American Concrete Institute (ACI). (2007). “Report on thermal volume change effects on cracking of mass concrete.”, ACI Committee, Detroit.
American Concrete Institute (ACI). (2008). “Building code requirements for structural concrete (ACI 318-08) and commentary.” ACI Building Code Committee, Detroit.
Arιoglu, N., Girgin, Z. C., and Arιoglu, E., (2006). “Evaluation of ratio between splitting tensile strength and compressive strength for concretes up to 120 MPa and its application in strength criterion.” ACI Mater. J., 103(1), 18–24.
ASTM. (2003). “Standard specification for coal fly ash and raw or calcined natural pozzolan for use in concrete.” C618, West Conshohocken, PA.
ASTM. (2004). “Standard test method for splitting tensile strength of cylindrical concrete specimens.” C406, West Conshohocken, PA.
ASTM. (2010). “Standard practice for estimating concrete strength by the maturity method.” C1074, West Conshohocken, PA.
ASTM. (2011). “Standard Specification for portland cement.” C150, West Conshohocken, PA.
British Standards Institution (BSI). (2009). “Testing hardened concrete. Tensile splitting strength of test specimens.” EN 12390-6, London.
Brooks, A. G., Schindler, A. K., and Barnes, R. W. (2007). “Maturity method evaluated for various cementitious materials.” J. Mater. Civ. Eng., 1017–1025.
Carino, N. J., and Lew, H. S. (1982). “Re-examination of the relation between splitting tensile and compressive strength of normal weight concrete.” ACI J., 79(3), 214–218.
Davies, J. D., and Bose, D. K. (1968). “Stress distribution in splitting tests.” ACI J., 65(8), 662–669.
Eberhardt, M., Lokhorst, S. J., and van Breugel, K. (1994). “On the reliability of temperature differentials as a criterion for the risk of early-age thermal cracking.” Rilem Rep. 25, Thermal cracking in mass concrete, R. Springenschmid, ed., E & FN Spon, London, 353–360.
Emborg, M. (1998a). “Models and methods for computation of thermal stresses.” Rilem Rep. 15, Prevention of thermal cracking in concrete at early ages, R. Springenschmid, ed., E & FN Spon, London, 178–230.
Emborg, M. (1998b). “Developing early age mechanical behavior.” Rilem Rep. 15, Prevention of Thermal Cracking in Concrete at Early Ages, R. Springenschmid, ed., E & FN Spon, London, 76–148.
Gajda, J., and VanGeem, M. (2002). “Controlling temperatures in mass concrete.” Concr. Int., 24(1), 58–62.
Hossain, A. B., and Weiss, J. (2004). “Assessing residual stress development and stress relaxation in restrained concrete ring specimens.” Cement Concr. Compos., 26(5), 531–540.
Johnson, R. A. (2000). Miller and Freund’s probability and statistics for engineers, 6th Ed., Prentice Hall, Upper Saddle River, NJ.
Kadlečeck, V., Sr., Modrý, S., and Kadlečeck, V., Jr. (2002). “Size effect of test specimens on tensile splitting strength of concrete: General relation.” Mater. Struct., 35(1), 28–34.
Kanda, T., Momose, H., Imamoto, K., and Mihashi, H. (2008). “Stochastic approach to shrinkage cracking control for reinforced concrete structural elements.” J. Adv. Concr. Technol., 6(1), 121–133.
Mangold, M. (1998). “Methods for experimental determination of thermal stresses and crack sensitivity in the laboratory.” Rilem Rep. 15, Prevention of Thermal Cracking in Concrete at Early Ages, R. Springenschmid, ed., E & FN Spon, London, 26–39.
Oluokun, F. A., Burdette, E. G., and Deatherage, J. H. (1991). “Splitting tensile strength and compressive strength relationship at early ages.” ACI Mater. J., 88(2), 115–121.
Pijaudier-Cabot, G., Omar, M., Loukili, A., and Pape, Y. L. (2005). “Creep—Damage interaction in concrete structures.” 11th Int. Concrete on Fracture, International Congress on Fracture (ICF), 6.
Raphael, J. M. (1984). “Tensile strength of concrete.” ACI J., 81(2), 158–165.
Riding, K. A., Poole, J. L., Schindler, A. K., Juenger, M. C. G., and Folliard, K. J. (2009). “Effects of construction time and coarse aggregate on bridge deck cracking.” ACI Mater. J., 106(5), 448–454.
RILEM Technical Committee 119-TCE. (1998). “Adiabatic and semi-adiabatic calorimetry to determine the temperature increase in concrete due to hydration heat of cement.” Rilem Rep. 15, Prevention of thermal cracking in concrete at early ages, R. Springenschmid, ed., E&FN Spon, London, 315–330.
Rostásy, F. S., Tanabe, T., and Laube, M. (1998). “Assessment of external restraint.” Rilem Rep. 15, Prevention of Thermal Cracking in Concrete at Early Ages, R. Springenschmid, ed., E & FN Spon, London, 149–177.
Schrage, I., and Summer, T. (1994). “Factors influencing early cracking of high-strength concrete.” Rilem Rep. 25, Thermal Cracking in Mass Concrete, R. Springenschmid, ed., E & FN Spon, London, 237–243.
Shah, S. P., Swartz, S. E., and Ouyang, C. (1995). Fracture mechanics of concrete: Applications of fracture mechanics to concrete, rock and other quasi-brittle materials, Wiley, New York.
Springenschmid, R., and Breitenbücher, R. (1998). “Influence of constituents, mix proportions and temperature on cracking sensitivity of concrete.” Rilem Rep.15, Prevention of Thermal Cracking in Concrete at Early Ages, R. Springenschmid, ed., E & FN Spon, London, 40–50.
van Breugel, K., and Lokhorst, S. J. (2001). “Stress-based crack criterion as a basis for prevention of through-cracks in concrete structures at early ages.” Early age cracking in cementitious systems, A. Bentur and K. Kovler, eds., RILEM, Haifa, Israel, 229–236.

Information & Authors

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Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 26Issue 9September 2014

History

Received: Feb 7, 2013
Accepted: Sep 19, 2013
Published online: Sep 21, 2013
Published in print: Sep 1, 2014
Discussion open until: Oct 15, 2014

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Authors

Affiliations

Kyle A. Riding, M.ASCE [email protected]
P.E.
Associate Professor, Kansas State Univ., 2118 Fiedler Hall, Manhattan, KS 66506 (corresponding author). E-mail: [email protected]
Jonathan L. Poole, M.ASCE
P.E.
Senior Engineer, CTL Group, 3737 Executive Center Dr. Suite 255, Austin, TX 78731.
Anton K. Schindler, M.ASCE
P.E.
Professor, Auburn Univ., 238 Harbert Engineering Center, Auburn, AL 36849.
Maria C. G. Juenger
Associate Professor, Univ. of Texas at Austin, Civil, Architectural and Environmental Engineering Dept.-STR, 301 E. Dean Keeton St. Stop C1748, Austin, TX 78712.
Kevin J. Folliard
Professor, Univ. of Texas at Austin, Civil, Architectural and Environmental Engineering Dept.-STR, 301 E. Dean Keeton St. Stop C1748, Austin, TX 78712.

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