Question

When cutting from a circular cross-section with a diameter d and making a rectangular cross-section [width(b) × height(h)] so that the cross-section secondary moment I is the largest, what is the correct expression of the cross-section secondary moment in relation to the rectangular width?

Answer 1

The correct expression of the cross-section secondary moment in relation to the rectangular width (b) is (1/12) x b x h^3.

Step-by-step explanation:

The correct expression of the cross-section secondary moment in relation to the rectangular width (b) can be determined by considering the properties of the circular cross-section and the rectangular cross-section.

The cross-sectional secondary moment of inertia (I) can be calculated as:

I = (1/12) x b x h^3

Where b is the width of the rectangular cross-section and h is the height of the rectangular cross-section.

Therefore, the correct expression of the cross-section secondary moment in relation to the rectangular width (b) is (1/12) x b x h^3.