Areinforced concrete beam must support a design (factored) moment, mu, of 50 k-ft. the beam dimensions are 8" wide x 16" deep, and the beam is reinforced with (2) #6 bars for flexure. the nominal strength of the concrete, f’c, is 8,000 psi, and the steel is a615, gr. 60 (fy = 60 ksi). assume an effective cover for the longitudinal bars approximately equal to 3". determine and explain whether this design is acceptable for flexure. justify your response with supporting calculations, including a verification of the ϕ factor you use for your calculation of design strength.

Two technicians are discussing the intake air temperature (iat) sensor. technician a says that the computer uses the iat sensor as a backup to the engine coolant temperature (ect) sensor. technician b says that the powertrain control module (pcm) will subtract the calculated amount of fuel if the air measures hot. who is correct

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

At 12 noon, the count in a bacteria culture was 400; at 4: 00 pm the count was 1200 let p(t) denote the bacteria cou population growth law. find: (a) an expression for the bacteria count at any time t (b) the bacteria count at 10 am. (c) the time required for the bacteria count to reach 1800.