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Problem 16 (16%) A 24 in x 24 in square reinforced concrete column consists of PCC and steel rebar. The rebar are oriented parallel to the longitudinal dimension of the column. The properties of each component are provided in the table below: Material % of Composite (by vol.) Modulus of Elasticity Density Failure Stress Steel Rebar Dispersed Phase) 4% 29 x 106 psi 490 lb/ft3 36 x 103 psi PCC (Matrix Phase) 96% 3.37 x 10° psi 150 lb/ft3 3.5 x 103 psi Determine the following: (a) (496) Modulus of elasticity of the composite column under sostrain condition (b) (4%) Density of the composite column. (c) (4%) Percentage of load carried by rebar under isostrain condition (d) (496) which will reach failure stress first, the steel or the PCC? Explain why and show your work.

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