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Strength Of Materials Miscellaneous

Strength Of Materials

  1. The second moment of a circular area about the diameter is given by (D is the diameter)
    1. πD4
      4

    2. πD4
      16

    3. πD4
      32

    4. πD4
      64
Correct Option: D

Polar Moment of Inertia perpendicular to the plane of paper.

Ip =
πD4
32

Now, applying “Perpendicular Axes” Theorem.
Ix + Iy = Ip
⇒ 2Ix = Ip
⇒ Ix =
Ip
[ ∵ Ix = Iy ]
2

=
πD4
64



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