The beam is constructed from two boards. If each nail can support a shear force of \(200 \mathrm{lb}\), determine the maximum spacing of the nails, \(s, s^{\prime}\), and \(s^{\prime \prime}\), to the nearest \(\frac{1}{8}\) in. for regions \(A B, B C\), and \(C D\), respectively.

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1 kip A B 6 ft + -6 ft 2 kip 1 in.- 9 in. C 9 in. D 6 ft 1 in.