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A three-span continuous beam supports 6-inch thick one-way slabs that span 20 ft center-to-center of beams....

A three-span continuous beam supports 6-inch thick one-way slabs that span 20 ft center-to-center of beams. The beams have clear spans, face-to-face of 16-in.-square columns, of 27, 30, and 27 ft. The floor supports ceiling, ductwork, and lighting fixtures weighing a total of 8 psf, ceramic floor tile weighing 16 psf, partitions equivalent to a uniform dead load of 20 psf, and a live load of 100 psf. Design the beam, using f’c = 4500 psi and fy = 60 ksi. Draw an elevation view of the beam and enough cross sections to summarize the design.

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