Calculate area moment of inertia for a circular cross-section with 3 mm diameter: 28 mm4

254 mm4

7 mm4

4 mm4

81 mm4

Calculate the minimum area moment of inertia for a rectangular cross-section with side lengths 6 cm and 4 cm.

52 cm4

72 cm4

32 cm4

24 cm4

2 cm4

Part 1

4 mm⁴

Part 2

32 cm³

Explanation:

Part 1

The diameter of the circular cross section, d = 3 mm

The area moment of inertia of a circle, , is given as follows;

Where;

d = The diameter of the circle

Therefore, the area moment of inertia of the given circular cross section, with d = 3 mm, is found as follows;

Part 2

The minimum area moment of inertia for a rectangular cross-section is given as follows;

The minimum moment of inertia, for the rectangular cross-section is given by placing, the height, h = The short side length and calculating for, Iₓ, and vice versa

Therefore, for the question, where, h = 4 cm, and b = 6 cm, we have;

answer:

explanation:

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