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While designing a connecting road, for buckling about X axis :

  • A.one end is hinged and the other end is fixed.
  • B.both ends are fixed.
  • C.both ends are hinged.
  • D.one end is fixed and other end is hinged.

Answer: C

For buckling about the X axis, both ends are hinged.

A connecting rod swings in the plane of motion of the crank. In that plane, buckling about the X axis, its ends are free to turn on the gudgeon pin and the crank pin, so it behaves as a column with both ends hinged and an equivalent length equal to its actual length.

In the perpendicular plane, buckling about the Y axis, the pins prevent rotation and the ends act as fixed, so the equivalent length is half the actual length. That is why the rod is designed with an I-section whose moment of inertia about X is about four times that about Y. The fixed and mixed end conditions in the other options belong to the Y axis or to neither.

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