A periodic signal whose period is given by x(t) = Δ(t/τ), where τ = 1/20. The signal x(t) is band-limited by an ideal analog low-pass filter with a cutoff frequency fc. The signal x(t), ideally sampled at a rate of 80 Hz, is reconstructed using an ideal low-pass filter with a cutoff frequency of 40 Hz, resulting in the signal y(t). a) Plot the spectrum of y(t) if fc = 40 Hzb) Plot the spectrum of y(t) if fc = 20 Hz

Q1 Q2 03 Find the total steel reinforcement (As) and the number of 20 mm bars that must be spread along the long direction of rectangular concrete footing of width B-2.10m which supports concrete column dimensions (0.4x 0.4) m. Given: D.L-900kN, L.L-800KN, qall-185kN/m², fc-21MPa, fy-400MPa. 300 450 Answer the following: A-Compare between the plate load test and standard penetration test, B-Define the disturbed samples, C- Find the depth of borehole for this case. B-2m. Dr=1.5m and qs =18ton/ m². The SPT records Versus depth are given in table below. Find qan for the raft foundation with B x B=10x10m and Df=2m, the allowable settlement is 50mm. 95 13 18 25

Project Statement A. It is required to introduce an additional load to cause maximum power transfer from the circuit below at the terminals a and b. The parallel loads resistances already connected are 50 Ω, 40 Ω, 30 Ω, 20 Ω, 10 Ω. 10 A 30022 w 8 Ω 5.2 Ω w w a + 500 V 12 Ω B. The circuit below is connected for long time to the terminal a and b of the circuit above after witch the switch is disconnected to allow the inductance system to discharge its stored energy. Determine the discharge current each τ and for 20 t and plot the current discharge behaviour. a 7 H 100 Ω 8 H 6H 10 H b C. Modify the 100 2 resistor or the inductor setup or both resistor and inductor setup to force the discharge current to be at least three times slower than in case B during the discharge. Your report must show the design steps and calculation then the relevant plots.