The elastic and plastic behaviors of the concrete and steel currently most extensively used as structural materials of a high-rise building are explained. In particular, the three-dimensional stress and strain, the three-dimensional constitutive laws (Hooke’s law), the three-dimensional plasticity theory of steel, and the failure criteria of concrete under multiaxial stresses are discussed to acquire an appropriately evaluating knowledge of an analytical result by a three-dimensional FEM. The basic knowledge on nonlinear behavior of concrete and steel is developed to understand the nonlinear behavior of reinforced concrete beams and columns.
Students learn the elastic and plastic behaviors of the concrete and steel in three dimension field. Knowledge on the yield criteria of steel and failure criteria of concrete are obtained. Nonlinear behavior of reinforced concrete beams and columns can be understood.
three dimensions, stress, strain, constitutive law, yield criteria of steel, failure criteria of concrete, flexural behavior or RC members, shear behavior or RC members
|Intercultural skills||Communication skills||Specialist skills||Critical thinking skills||Practical and/or problem-solving skills|
The instructor gives lectures with some interaction with students. Solutions to the homeworks are discussed in the beginning of each class to review the recent lectures. Then new topics are introduced for the rest of the class.
|Course schedule||Required learning|
|Class 1||Materials characteristics of concrete and steel||Differnece between concrete and steel|
|Class 2||Stress in three dimensional field||Stress|
|Class 3||Principal stresses and axes||Meaning of principal stresses|
|Class 4||Strain in three dimensional field||Obtaining strain from displacement field|
|Class 5||Stress-strain relation of elastic materials||Constitutive law in one, two and three dimensions|
|Class 6||Governing equations of elastic materials and basics of finite element analysis||Equilibrium equations|
|Class 7||Stress functions||Application of stress functions|
|Class 8||Yield criteria and nonlinear stress-strain relation of steel||Judging yielding of steel members using the yield criteria|
|Class 9||Failure criteria of concrete||Judging failure of concrete members using the failure criteria|
|Class 10||Confining effect of concrete and numerical model||Stress-strain relation of confined concrete|
|Class 11||Nonlinear behavior of RC members||Seismic damage of RC structures in the past earthquakes|
|Class 12||Nonlinear flexural behavior of RC beams||Reading assignment 1|
|Class 13||Nonlinear flexural behavior of RC columns||Reading assignment 2|
|Class 14||Decomposition of nonlinear deformation of RC members||Flexural analysis of RC members|
|Class 15||Seismic behavior of RC members in past earthquakes||Stress and strain conditions of RC members|
Reinforced Concrete Structures (Park and Paulay)
Homeworks, final exams and attendance are considered.
Susumu Kono （kono[at]serc.titech.ac.jp）(045-924-5384)