Chapter 9, Problem 9.13P

Figure (a) shows the cross section of a column that uses a structural shape known as $\text{W}8\times 67$ (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: $A=19.7\text{in}{\text{.}}^2,{\bar{I}}_x=272\text{in}{\text{.}}^4,$ and ${\bar{I}}_y=88.6\text{in}{\text{.}}^4.$ Determine the dimensions of the rectangle in Fig. (b) that has the same $I_x$ and $I_y$ as a $\text{W}8\times 67$ section.