Civil Engineering - Applied Mechanics - Discussion

23. 

The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

[A]. 1/4
[B]. 1/2
[C]. 3/4
[D]. 2.

Answer: Option A

Explanation:

No answer description available for this question.

Eeranna said: (Aug 8, 2016)  
m.i about centroidal axis = bd3/12.
m.i about its base = bd3/3.

The ratio between them is 3/4.

Anonymous said: (Dec 3, 2016)  
Moment of inertia about base = bh^3/3
Moment of inertia about C.G = bh^3/12
Ratio = (1/12) * (3/1) = 1:4

Mehta said: (Oct 15, 2018)  
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.

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