Creep of a Cracked Reinforced Beam

by Jerome L. Sackman,
R. E. Nickell,

Serial Information: Journal of the Structural Division, 1968, Vol. 94, Issue 1, Pg. 283-308

Document Type: Journal Paper

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Abstract: Conventional cracked reinforced concrete beam theory is extended to include general linear viscoelastic behavior of the matrix (concrete) material in compression. An analytical formulation is developed which leads to a single governing equation on the position of the neutral axis. Although it has not been possible to obtain a general closed solution, some important properties of the solution of this nonlinear, Volterra-type integral equation are established. The relationship of this theory to a popular approximate procedure, known as the effective modulus method, is discussed. The nonlinear integral equation is resolved numerically, and results are shown for several cases of interest.

Subject Headings: Reinforced concrete | Concrete beams | Cracking | Integrals | Integral equations | Linear functions | Viscoelasticity

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