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Founded in 1904 and headquartered in Farmington Hills, Michigan, USA, the American Concrete Institute is a leading authority and resource worldwide for the development, dissemination, and adoption of its consensus-based standards, technical resources, educational programs, and proven expertise for individuals and organizations involved in concrete design, construction, and materials, who share a commitment to pursuing the best use of concrete.
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Home > Publications > International Concrete Abstracts Portal
The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.
Title: Empirical Modeling of Cracking in Reinforced Concrete
Author(s): Evan C. Bentz
Publication: Structural Journal
Appears on pages(s): 233-242
Keywords: cracking; design equations; direct tension; modulus of rupture; size effect; split cylinder; web-shear cracking
Abstract:A source of confusion in design codes is that multiple equations are often provided for concrete tensile strength—for example, one for modulus of rupture and another for direct tension strength. This paper proposes that these differences in tensile strength result from a size effect that is based on the volume of concrete in tension. Volumes larger than approximately 30 L (1 ft3) do not show this size effect and crack at the stress recommended by ACI for diagonal web-shear cracking. For smaller volumes, the tensile stress at cracking can be up to three or more times larger than this value. When the volume of the specimen is accounted for by the presented empirical size effect equation, the different test methods show consistent results. Using a set of 511 tension tests on plain or reinforced specimens of different types and sizes, the proposed unified tension model is justified. Finally, a simple design equation for flexural cracking is presented.
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