An aluminum [e = 1 ksi] bar is bonded to a steel [e = 3 ksi] bar to form a composite beam. the aluminum bar has width b = 2.50 in. and height h1 = 0.625 in.
the steel bar has width b = 2.50 in. and height h2 = 0.875 in.
the composite beam is subjected to a bending moment of m = +300 lb-ft about the z axis.(a) the maximum bending stresses in the aluminum and steel bars.
(b) the stress in the two materials at the joint where they are bonded together.

You are making beer. the first step is filling the glass carboy with the liquid wort. the internal diameter of the carboy is 15 in., and you wish to fill it up to a depth of 2 ft. if your wort is drawn from the kettle using a siphon process that flows at 3 gpm, how long will it take to fill?

An engine runs on the ideal diesel cycle. the cycle has a compression ratio of 20 and a cutoff ratio of 2. the highest temperature in the cycle is 1200 k. if the heat into the system is 300 kj/kg of working fluid and using variable specific heats determine the work produced per mass of working fluid

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.