Write a computer program in any language, or use an equation-solver program or spreadsheet to calculate and plot the variation in cross-sectional area, area moment of inertia, radius of gyration, slenderness ratio, and critical load with respect to the inside diameter of both a Euler and a Johnson column having round-hollow cross sections. Assume that the outside diameter of each column is I in. The effective length of the Euler column is 50 in. The effective length of the Johnson column is 10 in. Both are made of steel with Sy = 36 000 psi. Let the inside diameter vary from 10% to 90% of the outside diameter for this parametric study. Comment on the advantages of hollow-round columns over solid-round columns of each type (Euler and Johnson) that have the same outer diameters, respective lengths, and materials.
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