A propped cantilever beam of length L = 54 in. with a sliding support supports a uniform load of intensity q (see figure). The beam is made of steel (σY = 36 ksi) and has a rectangular cross section of width b = 4.5 in. and height h = 6.0 in. What load intensity q will produce a fully plastic condition in the beam?

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C | h 6.0 i Sliding support L- 54 in b 4.5 in