A beam of 11 in. width and effective depth of 16 in. carries a factored uniformly distributed load of 5.3 kips ft, including its own weight, in addition to a central, concentrated factored load of 12 kips. It spans 18 ft, and restraining end moments at full factored load are 137 ft-kips at each support. It is rein- forced with three No. 9 (No. 29) bars for both positive and negative bending. If fc′ = 4000 psi, through what part of the beam is web reinforcement theoretically require (a) if Eq. (5.12d) is used? (b) if Eqs. (5.12a) through (5.12c) are used?

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

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.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.