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Assertion (A): A boom lying on the neutral axis produces no step in the shear flow.

Reason (R): The step at a boom is proportional to its first moment of area about the neutral axis.

Select the correct answer from the options below.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason gives the mechanism. The step is \( VBy/I \), which is proportional to \( By \), the boom’s first moment about the neutral axis. A boom on the axis has \( y = 0 \), so its first moment vanishes and the shear flow passes it unchanged - which is also why such a boom contributes nothing to bending stiffness.

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