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A boom area formula gives \( 50 \times (2 + \sigma_2/\sigma_1) \). For the contribution to fall to zero, the stress ratio would have to be

  • A.-2
  • B.-1
  • C.0
  • D.-0.5

Answer: A

Correct answer: -2

Setting the bracket to zero,

\[ 2 + \frac{\sigma_2}{\sigma_1} = 0 \quad \Rightarrow \quad \frac{\sigma_2}{\sigma_1} = -2 \]

which would require the far end of the panel to carry twice the stress of the near end and of opposite sign. The formula is empirical and is not intended to be used at such a ratio; the question is really a check that the algebra, and the range over which the expression is meaningful, are both understood.

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