A rectangular concrete beam of width b = 24 in. is limited by architectural considerations to a maximum total depth h = 16 in. It must carry a total fac- tored load moment Mu = 400 ft-kips.

Design the flexural reinforcement for this member, using compression steel if necessary. Allow 3 in. to the center of the bars from the compression or tension face of the beam. Material strengths are fy = 60,000 psi and fc′ = 4000 psi. Select reinforcement to provide the needed areas, and show a sketch of your final design, including provision for No. 4 (No. 13).

Along 8-cm diameter steam pipe whose external surface temperature is 900c connects two buildings. the pipe is exposed to ambient air at 70c with a wind speed of 50 km/hr blowing across the pipe. determine the heat loss from the pipe per unit length. (b) air at 500c enters a section of a rectangular duct (15 cm x 20 cm) at an average velocity of 7 m/s. if the walls of the duct are maintained at 100c. a) the length of the tube for an exit temperature of the air to be 40 0c. b)the rate of heat transfer from the air. c) the fan power needed to overcome the pressure drop in this section of the duct.