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.