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2004_hw_3

# 2004_hw_3 - 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 Massachusetts Institute of Technology 1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Homework #3 Assigned: Thursday, March 18, 2004 Due: Thursday, April 1, 2004 Biaxial Column Interaction Introduction To demonstrate the adequacy of a given column section subjected to a given biaxial loading using the approximate contour method and the theoretical method. A square cross section is as shown in Fig. 1 with the following information: Concrete ' Uniaxial compressive strength: f = 5000 psi; c Maximum concrete strain: ε = 0.003; cu Steel Yield stress: f y = 60 ksi; Yield strain: = 0.002. sy 26 ’’ 2 ’’ 2 ’’ #4 Ties 12 #11 Bars equally spaced Figure 1. Configuration of the reinforced concrete column section Questions 1. (Uniaxial Column Interaction Diagram) For the cross section shown in Fig. 1, construct the axial load-moment interaction diagram. As a minimum calculation, establish the points corresponding to ' (a) pure axial load ( P ), o ' (b) balanced loads ( PM b '

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2004_hw_3 - 1.054/1.541 Mechanics and Design of Concrete...

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