Civil Engineering - Applied Mechanics - Discussion

Discussion Forum : Applied Mechanics - Section 3 (Q.No. 23)
23.
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is
1/4
1/2
3/4
2.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
3 comments Page 1 of 1.

Eeranna said:   9 years ago
m.i about centroidal axis = bd3/12.
m.i about its base = bd3/3.

The ratio between them is 3/4.

Anonymous said:   9 years ago
Moment of inertia about base = bh^3/3
Moment of inertia about C.G = bh^3/12
Ratio = (1/12) * (3/1) = 1:4
(1)

Mehta said:   7 years ago
Moment of Inertia @ Centroidal Axis = (bd^3) / 12.
Moment of inertia @ Base Axis = (bd^3)/3.

Ratio between (Centroidal Axis / Base Axis) = [{(bd^3)/12}/{(bd^3)/3}]

Ratio = 3 / 12.
The answer should equal to 1/4.

Answer - Option A is the correct answer.
(3)

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