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(30 pts) A short reinforced concrete column is subjected to a 1000 kN axial compressive load....

  1. (30 pts) A short reinforced concrete column is subjected to a 1000 kN axial compressive load. The moduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and the cross-sectional area of steel is 2% of that of the reinforced concrete. Considering the column as a structural member made of a composite material and subjected to load parallel to the steel rebars, calculate the following:

a. the modulus of elasticity of the reinforced concrete

b. the load carried by each of the steel and plain concrete

c. the minimum required cross-sectional area of the column given that the allowable compressive stress of plain concrete is 20 MPa and that the allowable compressive stress of plain concrete will be reached before that of steel.

d. Plot the stress-strain behavior for the steel fiber, concrete and composite on the same plot.

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