Outline_08 - 1.054/1.541 Mechanics and Design of Concrete...

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1.054/1.541 Mechanics and Design of Concrete Structures Spring 2004 Prof. Oral Buyukozturk 1 / 6 Massachusetts Institute of Technology 1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Outline 8 Biaxial Bending R/C columns under biaxial bending o The problem of columns under biaxial bending is nonlinear and the number of unknowns is large. For any defined column the problem may be expressed as: ( ) ( ) , , , , θ ε = x y c P e e f c where f = a nonlinear function of the variables that can be derived from the equilibrium equations and geometry of any given column section and the stress-strain curves of the materials, P = axial load, , x y e e = eccentricities measured parallel to x and y axes, respectively, θ = inclination of neutral axis, c = depth of neutral axis measured from extreme compressive fiber, and ε c = failure strain of concrete in compression. o A number of approximate methods which are based on simplifying assumptions have been developed. However, for certain situations, the simplifying assumptions may lead to inaccurate results, and the use of presently available design charts is often limited. o The use of computers to solve this problem with improved accuracy has been based upon iterative analysis of trial sections until a satisfactory result is achieved.
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