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(1) Determine the equations for slope and deflection of the beam shown by the direct integration method (EI-constant). Also, determine the slope and deflection and point C of the beam. (15pts) L/2
1) Determine the equations for slope and deflection of the beam shown by the direct integration method (EI-constant). Also, determine the slope and deflection and point C of the beam. (15pts) L/2

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Fresh air containing 4.00 mole% water vapour is to be cooled and dehumidified to a water content of 1.70 mole % H2O. A stream of fresh air is combined with a recycle stream of previously dehumidified air and passed through the cooler. The blended stream entering the unit contains 2.30 mole% H2O. In the air conditioner, some of the water in the feed stream is condensed and removed as liquid. A fraction of the dehumidified air leaving the cooler is recycled and the remainder is delivered to a room. Taking 100 mol of dehumidified air delivered to the room as a basis of calculation, calculate the moles of fresh feed, moles of water condensed, and the moles of dehumidified air recycled.
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3.83 (a) Plot the tensions in cables AB and AC for values of d from d = 0 to d = 1.8 m. (b) Each cable will safely support a tension of 1 kN. Use your graph to estimate the acceptable range of values of d.
3.83 (a) Plot the tensions in cables AB and AC for values of d from d = 0 to d = 1.8 m. (b) Each cable will safely support a tension of 1 kN. Use your graph to estimate the ...

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Calculate the final temperature of the acid resulting when 200 lb of 50% by weight sulphuric acid at 77°F is diluted with 100 lb of water at 77°F with no heat loss. Heats of solution data are provided for the H2SO4/H2O system. Assume that the heat capacity does not change with temperature.
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Una distribución esférica de carga ρ=ρ0[1-(R2b2)] existe en la región 0≤R≤b. Esta distribución de carga está rodeada concéntricamente por una capa conductora de radio interior Ri(>b) y
Una distribución esférica de carga ρ=ρ0[1-(R2b2)] existe en la región 0≤R≤b. Esta distribución de carga está rodeada concéntricamente por una capa conductora de radio interior Ri(>b) y radio exterior R0. Determine E en todos los puntos.

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One-line diagram, together with the bus and line data, of a 5-bus power system is shown below; the system will be referred to as utility A. Solve the following problems using the PowerWorld Simulator. 1. For the power system of utility A, use the PowerWorld program to find the MVAr rating of a shunt capacitor at bus 3 that increases V3 to 1.00 p.u. Determine the effect of the capacitor bank on the line loading and total I2R losses. 2. Run the original power flow for utility A. Do you find any voltage violations? (The normal range of bus voltages is assumed to be 0.95-1.05 p.u.) Now suppose both transformers in this system are tap changing transformers whose taps can be varied from 0.85 to 1.15 p.u. in increments of 0.05 p.u. Determine the tap settings required to increase the voltage at bus 3 to 0.95 p.u., while causing as few high voltage violations as possible at the other buses. 3. A new transformer is installed between buses 2 and 5, in parallel with the existing transformer between buses 2 and 5. The new transformer is identical to the existing transformer. The taps on both transformers are set to the nominal value, 1.0 p.u. Find the real power, reactive power and MVA supplied by each of these transformers to bus 5. 4. Refer to the one-line diagram of utility A. Suppose an additional line is installed between buses 3 and 4. The line parameters of the added line are equal to those of the existing line 3-4. Determine the effects on the voltage at bus 3, line loading and total I2R losses. 5. In problem 2 you already ran the power flow for utility A and detected low voltage violations. Place a capacitor at bus 3 to bring the bus 3 voltage up to 0.95 p.u. Determine the size of the capacitor bank. Now suppose the line between buses 3 and 5 is removed for maintenance. Run the power flow again. Is the operating condition acceptable? If not, determine the amount of load you have to shed at bus 3 in order to maintain the bus 3 voltage above 0.95 p.u. Cut the same percentage of MW and MVAr at bus 3.
One-line diagram, together with the bus and line data, of a 5-bus power system is shown below; the system will be referred to as utility A. Solve the following problems using the PowerWorld Simulator. 1. For the power system of ...

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Project 1: Construct the simple two-bus power system as shown in Figure 1. The nominal system voltage is 20-kV. Bus 1 is the system slack bus. Figure 1 1. Construct the network of one-line diagram based on the specifications given in the diagram from Fig.1. On the diagram, put the labels showing the following: (a) Active, reactive and apparent powers generated by the generator (b) Transmission Losses in term of MW and Mvar (c) Bus 1 and 2 voltages (in kV) (phase angle in degree) 2. When the output of the shunt capacitor is 0-Mvar solve and run the network and activate animation to show both MW and Mvar power flow. 3. Observe what happens when the MVA limit of the transmission line is 20 MVA. Comment on the result. Set the limit of the transmission line back to 40 MVA. 4. Observe the transmission line loss when its series resistance and reactance are changed to 0.4 and 0.8 pu. Observe the bus voltages and comment on the voltage regulation. 5. Change the line impedance back to its original value. Vary the reactive power of the shunt capacitor in steps from 0 to 20 Mvar. At each step, record the voltage at bus 2 and the transmission line losses. Plot the results and Page 1 of 12 Page 2 of 12 COLLEGE OF SCIENCE AND TECHNOLOG Y COLLEGE OF SCIENCE AND TECHNOLOGY determine the situation when optimal voltage regulation is achieved (Use Excel to plot the results). 6. Assume that half the time the load is 25 MW/14 Mvar, and for the other half it is 30 MW/18 Mvar. What single value of Qcap would minimize the average losses? Assume that Qcap can only be varied in 0.5 Mvar steps. Capacit or Bus 2 Transmission Losses Mvar Voltag e Ploss Qlo ss
Construct the simple two-bus power system as shown in Figure 1. The nominal system voltage is 20-kV. Bus 1 is the system slack bus. Figure 1 1. Construct the network of one-line diagram based on the specifications given in the ...

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Determine where each of the following functions from R to R is differentiable and find the derivative: f(x)=|x|+|x+1| Show all work please only need (a) Determine where each of the following functions from R to R is differentiable and find the derivative: f(x)=|x|+|x+1|
Determine where each of the following functions from R to R is differentiable and find the derivative: f(x)=|x|+|x+1| Show all work please only need (a) Determine where each of the following functions from R to R is differentiable and find ...

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Question 5 (10 marks) Ch2. Ch2 Consider the circuit above at sinusoidal steady state. Load A and Load B consist solely of linear resistive and reactive components. You are given that the source has power 40 VA and its power factor is 80% lagging. Chl and Ch2 of an oscilloscope are connected as shown in the circuit diagram. The resulting traces are shown belkow, where SEC/DIV was set to 1 ms and VOLTS/DIV was set to 100 mV for Chl and 20 V for Ch2. Ch2 chi (a) [1.5 marks Estimate the sinusoidal frequency of the circuit. Show all of your work (b) [5 marks] Draw and label the power triangle for Load A, including estimates of its real and reactive power and the power angle. Show all of your work () (3.5 marks Determine and label the power triangle for Load B, including its real and reactive power and power angle Assume the 1 Ω resistor’s effect is negligible, and does not affect the voltage supplied from the source to either Load A or Load B. Show all of your work
Question 5 (10 marks) Ch2. Ch2 Consider the circuit above at sinusoidal steady state. Load A and Load B consist solely of linear resistive and reactive components. You are given that the source has power 40 VA and its power factor ...

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(a) [2.5 marks] Derive a differential equation for ve(t), for t> 0 along with an initial condition. You should derive your equation directly from the circuit itself, and not using an equivalent circuit (or you will only receive partial marks). Show all of your work.
In the following circuit, the switch has been in position A for a long period of time before it is moved to position B at time t = 0. 1012 A t=0 w BO 15 Ω + 30 V ( ...

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