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 and207 GPa, respectively, and the cross-sectional area of steel is 2% of that of thereinforced 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 concreteb. the load carried by each of the steel and plain concretec. 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.
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 and207 GPa, respectively, and the cross-sectional area of steel is 2% of that of thereinforced 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.
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