Example 4-14 The indeterminate beam 11 of Appendix Table A-9 is reproduced in Fig. 4-16. Determine the reactions using procedure 1. Fig. 4-16 The reactions are shown in Fig. 4-16b Without R, the beam is a statically determinate cantilever beam. Without M, the beam is a statically determinate simply supported beam. In either case, the beam has only one redundant support. We will first solve this problem using superposition, choosing Ry as the redundant reaction. For the second solution, we will use Castigliano's theorem with M, as the redundant reaction