Civil Engineering - UPSC Civil Service Exam Questions - Discussion

Discussion Forum : UPSC Civil Service Exam Questions - Section 6 (Q.No. 32)
32.
xx, x1 x1 and x2 x2 are parallel axes of which XX is the centroidal axis. If moment of inertia of the figure about x1 x1 axis is 10m4, what is the moment of inertia of the figure about x2 x2 axis?
10 m4
11 m4
14 m4
15 m4
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
3 comments Page 1 of 1.

Rahul verma said:   2 years ago
Ix1 = Ixx + Ay^2
find Ixx.

10 = Ixx + 1 * 2^2.
Ixx=6.

then find Ix2.
Ixx2 = Ixx + Ay^2.
Ixx2 = 6 + 1*3^2,
Ixx2 = 15.

Manjunatha R.N. said:   8 years ago
@Rahat, thank you.

Rahat said:   9 years ago
This is a parallel axis theorem Problem.

I(x1) = 10 m^4.
I(x1) = I(x) + A * d^2.
I(x) = I(x1) - A * d^2.
I(x) = 10 - (1) (2^2).
I(x) = 10 - 4.
I(x) = 6 m^4.
I(x2) = I(x) + A * d^2.
I (x2) = 6 + (1) * (3^2).
I(x2) = 6 + 9.
I(x2) = 15 m^4.

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