Expert Answers

Q2 (40 pts): Consider the water distribution network shown in the figure below and the different water demands assigned to each node given in the accompanying table. Assume all nodes have the same elevation. Part A: Use the Darcy-Weisbach method to determine the discharge in each PVC ("smooth") pipe and the pressure head at each node. An example calculation for each step is required, but you can show the convergence of your solutions by presenting only the tables (from Excel) for each iteration. Please ensure your tables are legible, easy to follow, and organized. Submit the Excel file as part of your .zip folder. Part B: Solve the problem using EPANET. How do the results compare to your hand calculations? Please include a screenshot of your final results in the EPANET (i.e., showing flows and pressures) model to accompany your discussion. Submit the EPANET model as part of your .zip folder. Part C: Assume the total demand at node E is now 0.6 cfs and that the required minimum nodal pressure is 75 psi. Use EPANET to redesign the system by changing the diameter of one pipe and provide a brief justification for your choice. Note: only replace one pipe at a time. Do not replace multiple segments. Please include a screenshot of your final results in the EPANET (i.e., showing flows and pressures) model to accompany your discussion. Submit the EPANET model as part of your .zip folder. 1000 ft 12 in Water Users C Industrial Commercial Commercial Residential Residential Residential Commercial Fire flow demand 1250 ft 12 in. 1000 ft 8 in 1050 ft 8 in. 1100 ft 8 in. Figure 2: Diagram of the water distribution network, including the lengths and diameters of the pipes. 12 in. 1250 ft Table 1: Water demands for nodes in the water distribution network. 6.77 acres 2.90 acres 2.90 acres E 12 in. 600 ft 120 persons 502 persons 598 persons 3.30 acres Area or population Max. daily unit served consumption 21,000 gal/acre/day 45,000 gal/acre/day 45,000 gal/acre/day 270 gal/person/day 270 gal/person/day 270 gal/person/day 45,000 gal/acre/day 0.94 cfs Connecting Node B E E D D F D

/n FILE 1: This is the project instruction file FILE 2: This is the project | Need to make a WBS of the project in 2 pages

1 . \quad \Delta \mathrm{S}=\mathrm{P}-(\mathrm{E}+\mathrm{T}+\mathrm{I}+\mathrm{Q}) \text { 2. } \quad \text { Average precipitation }=\left(\Sigma \mathrm{P}_{\mathrm{i}} \mathrm{A}_{i} / \Sigma \mathrm{A}_{\mathrm{i}}\right) \text { 3. } \quad Q_{p}=C I A \text { 4. } \quad f=f_{\mathrm{c}}+\left(f_{0}-f_{\mathrm{c}}\right) \mathrm{e}^{-\mathrm{kt}} \begin{aligned} &5 \text { . }\\ &F(t)=\int_{0}^{t} f d t=f_{c} t+\left[\frac{f_{0}-f_{c}}{k}\right]\left(1-e^{-k t}\right) \end{aligned} \text { 8. } \quad H=\frac{p}{\gamma}+z+\frac{v^{2}}{2 g} \text { 9. } E=y+\frac{Q^{2}}{2 g A^{2}} \text { 10. } y_{c}=\left(\frac{q^{2}}{g}\right)^{1 / 3} \text { 11. } \frac{Q^{2}}{g}=\left(\frac{A^{3}}{B}\right) \text { 12. } \quad F_{r}=\frac{V}{\sqrt{g D}} \text { 12a. } \quad \frac{y_{2}}{y_{1}}=\frac{\sqrt{1+8 F_{r 1}^{2}}-1}{2} \text { 13. } Q=\frac{C_{n}}{n} A R_{h}^{2 / 3} S_{0}^{1 / 2} \text { 14. Area }=\frac{h}{2}\left[y_{0}+2\left(y_{1}+y_{2}+y_{3}+\ldots \ldots+y_{n-1}\right)+y_{n}\right] \begin{aligned} &15\\ &T_{R}=\frac{D}{2}+t_{p} \end{aligned} \text { 16. } \quad Q_{p}=\frac{484 A}{T_{R}} \text { 17. } \quad t_{p}=\frac{l^{0.8}(S+1)^{0.7}}{1900 y^{0.5}} \text { 18. } \quad S=\frac{1000}{C N}-1 \begin{array}{ll} 19 . & B=1.67 \mathrm{~T}_{\mathrm{R}} \end{array} \text { 20. Snyder's method } \text { 21. } \quad t_{p}=C_{t}\left(L L_{c}\right)^{0.3} \text { 22. } \quad Q p=\frac{640 C_{p} A}{t_{p}} \text { 23. } \quad \mathrm{T}_{\mathrm{b}}=3=\mathrm{t}_{\mathrm{p}} / 8 \text { 24. } \quad I-Q=\frac{\Delta S}{\Delta t} \text { 25. } \quad \frac{I_{1}}{2}+\frac{I_{2}}{2}-\frac{Q_{1}}{2}-\frac{Q_{2}}{2}=\frac{S_{2}-S_{1}}{\Delta t} \text { 26. } \quad S=K[x I+(I-x) Q] \text { 27. } \quad S_{2}-S_{1}=K\left[x\left(I_{2}-I_{1}\right)+(1-x)\left(Q_{2}-Q_{1}\right)\right] \text { 28. } \quad Q_{2}=C_{0} I_{2}+C_{1} I_{1}+C_{2} Q_{1} \text { 29. } \quad C_{0}=\frac{-K x+0.5 \Delta t}{D} \text { 30. } \quad C_{1}=\frac{K x+0.5 \Delta t}{D} \text { 31. } \quad C_{2}=\frac{K-K x-0.5 \Delta t}{D} \text { 32. } D=K-K x+0.5 \Delta t \text { 33. } \quad\left(I_{n}=I_{n+1}\right)+\left(\frac{2 S_{n}}{\Delta t}-Q_{n}\right)=\left(\frac{2 S_{n+1}}{\Delta t}+Q_{n+1}\right)

A 30 ft long simply supported beam with full lateral support along the compression flange supportsa moving concentrated load of 40 kip. Estimate beam weight at 60 plf. Select the lightest section

Answer the following questions on the same page: 15. Based on the location and magnitude of your earthquake, speculate on the type of damages your earthquake might have caused. 16. Now compare this to the Mercalli Intensity scale. What classification is your earthquake based on this scale? 17. How did the different waves (P, S & Surface Waves) assist you in determining the epicenter and the amount of damage caused? 18. Was your location in an area prone to earthquakes? Speculate on what might have caused this earthquake (be specific). 19. Why is it so difficult for geologists to predict when and where an earthquake will occur? 20. What connections can you make between the behavior of the seismic waves and the Earth's interior? 21. Make sure your name is ON your document before submitting. Tips and hints can be found here (Links to an external site.). This assessment is adapted from "Virtual Earthquake" by Gary Novack, originally found here (Links to an external site.).

(6) The sequence {an} is defined by a1 = 1 and a_{n+1}=\left(2 a_{n}+1\right)^{\frac{1}{2}}-\frac{1}{4}\left(2 a_{n}+1\right)^{\frac{1}{4}}, \quad n=1,2, \ldots Show that the sequence is convergent.

How does idealism and self-interest produce different foreign policies? What types of foreign policies are associated with each? Must these two positions always generate different foreign policies? And is one (idealism or self-interest) always superior to the other? Address this question by incorporating information and/or arguments from your assigned readings over the last three weeks. As with all of your open essay assignments, answers should be at least two paragraphs long, and there is no maximum length.