(Solved): A column under axial compressive load is fabricated from a steel circular cylinder which is filled ...

A column under axial compressive load is fabricated from a steel circular cylinder which is filled with concrete as is shown in Figure MKC-7. It may be assumed that the steel and concrete, with respective Young's moduli Es and Ec, are perfectly bonded and that they therefore act as a composite. Which of the following statements are true? A. If \( E_{S} / E_{c}=10 \), the average normal compressive strain in the steel is ten times as large as that in the concrete: \( \varepsilon s=10 \mathrm{sc} \) B. The average normal stress in the steel is given by: \( \sigma_{s}=\varepsilon_{s} / E_{S} \) C. The force on the column is given by \( F=\left(\sigma_{c} \varepsilon_{c}+\sigma_{s} \varepsilon_{s}\right) \) D. The change in length of the column is given by \( \Delta=L\left(\varepsilon_{c}+\varepsilon_{s}\right) \) E. None the above Figure MKC-7