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Assertion (A): Material placed far from the neutral axis is disproportionately effective in bending.

Reason (R): Each element contributes its area times the square of its distance from the axis.

Select the correct answer from the options below.

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

Answer: C

Both statements are true and the second is the reason for the first. Doubling the distance quadruples the contribution, which is why a spar consists of heavy caps joined by a light web and why a deep wing box is worth so much.

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