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Assertion (A): Bending stiffness can be raised without changing the material.

Reason (R): Stiffness depends on the product of Young's modulus and the second moment of area.

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

Both statements are true and the second explains the first. Redistributing the same material further from the neutral axis raises the second moment without adding a gram, which is nearly always cheaper in an airframe than changing to a stiffer and denser material.

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