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Assertion (A): Saint-Venant's principle allows a bolt pattern to be replaced by a single resultant force.

Reason (R): Away from the point of application, statically equivalent load systems give the same stress field.

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 is the principle itself. Saint-Venant holds that two statically equivalent load systems produce the same stress field at distances large compared with the region over which they are applied. A bolt pattern may therefore be replaced by its resultant for anything beyond a bolt spacing or two - but not for the local bearing and net section stresses at the bolts themselves, which is exactly where the principle does not apply.

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