Question

match the u.s. units to the appropriate property of a section.
moment of inertia
section modulus
radius of gyration
choose
choose
inches to the third power
inches to the fourth power
inches.

Explanation:

The radius of gyration is a geometric property related to the distribution of a shape's area around an axis. It is calculated as the square - root of the moment of inertia divided by the area. Since the moment of inertia has units of inches to the fourth power (\(in^4\)) and area has units of inches squared (\(in^2\)), the radius of gyration \(r=\sqrt{\frac{I}{A}}\). The units of \(I\) is \(in^4\) and units of \(A\) is \(in^2\). So, \(\sqrt{\frac{in^4}{in^2}}=\sqrt{in^2} = in\).

Answer:

inches