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The column is constructed from high-strength concrete and eight A992 steel reinforcing bars. If the column is subjected to an axial force of 200 kip.
The column is constructed from high-strength concrete and eight A992 steel reinforcing bars. If the column is subjected to an axial force of 200 kip.a) Determine the average normal stress in the concrete and in each bar. Each bar has a diameter of 1 in.
b) Determine the required diameter of each bar so that 60% of the axial force is carried by concrete.
Final answer:The question involves calculating stress in both concrete and steel within a column under axial load, and resizing steel bars so concrete carries 60% of the force.Explanation:The student's question involves calculating the average normal stress in the concrete and in each A992 steel reinforcing bar within a column subjected to an axial force of 200 kip, as well as adjusting the diameter of each bar to ensure 60% of this force is carried by concrete. Given that each original steel bar has a diameter of 1 inch, the first step is to calculate the total cross-sectional area of the steel bars and then the area of the concrete assuming an external dimension for the column. The average normal stress in each material can then be found by dividing the force each material carries by its cross-sectional area. To ensure 60% of the axial force is carried by concrete, the area of the steel needs to be adjusted accordingly, requiring a re-calculation of the steel bar diameters based on the new required area to maintain this ratio....