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You are the Chief Engineer for a prominent hydraulics consulting company. Your client wants to pay you lots of money to design a system to deliver 1 m3/s from reservoir A at elevation 300 m to reservoir B at 500 m. The distance from A to B is 1000 km and the elevation between the two reservoirs is given by z (m) = 300 + 1.2x - 0.001x2, where x is the distance from A in km. The system is to consist of a pipeline and a series of pumps. Commercial steel pipe with a roughness e = 0.05 cm and a pressure rating of 150 m head is available. The total cost of purchasing pipe and constructing a pipeline is listed below for various pipe sizes. Pumps that can deliver 1 m3/s at 100 m head cost $10,000,000 each (installed). Determine the most economical design (i.e. pipe size and number and location of pumps). Hint: Vary your pipe diameter and consider pumps in series. Pipe diameter (m) Total Cost ($/km) 0.9 80,000 1.0 100,000 1.1 120,000 1.2 150,000 1.4 200,000 Note 1: Theoretically, a pipeline may be designed to allow pressure to fall to the vapour pressure. In practice, however, water usually contains dissolved gasses that will vapourize well before the vapour pressure point is reached. Such gasses dissolve very slowly. They can move with the water in the form of large bubbles that disrupt the flow. Therefore, negative pressures shouldn't be allowed to exceed about 70% of atmospheric pressure - use this figure in your design calculations. Note 2: The pressure rating of a pipe is the maximum pressure that it can withstand.
determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive axis. The other force is F=700N with a 15 degree angle to the x-axis.
You open a 16 oz (1 pint) bottle of a carbonated soft drink that has a temperature of 5°C, then you get distracted and forget to drink it. You come back quite some time later and find that it has gone "flat," and that it has gotten warm (20°C).
Show/formulate the shear and bending moment expressions for each board, and plot/draw the shear and bending moment diagrams of the boards.
The motor in the unit runs at 300 rpm and produces an unbalanced force of 60 lb at this speed. Neglect weight of the beams and assume 1% viscous deflection in the system; for steel E=30,000 ksi.
If you deposit $1000 per month into an investment account that pays interest at a rate of 6% per year, compounded quarterly, how much will be in the account at the end of 5 years
Determine the support reactions at A, C, and E on the compound beam which is pin connected at B and D.
Engine Oil at 60 degrees C flows over a 3m long and 2m wide plate whose temperature is maintained at 20 degrees C with a velocity of 2 m/s. Determine the rate of heat transfer from the entire plate.
{rm Al} reacts with 4.45 {rm g} of {rm O}_{2}, what is the empirical formula of aluminum oxide?
a circular aluminum tube of L=600 mm is loaded in compression by forces P. The outside and inside diameters are d2=75 mm and d1=63mm, respectively. A strain Gage is placed on the outside of the tube to measure normal strains in the longitudinal di..
From historical cost records, the capacity ratio exponent of a process unit is 0.5. Use the capacity ratios raised to an exponent method to determine the estimated cost of a similar process unit with a capacity of 310 ft3/hr.
for a laminar flow of a newtonian fluid in a tube of a circular cross section, show that the ratio of mean shear to the wall shear rate is 2/3
If e is some value at midspan and e=0 at each end of the beam, and the cable within the beam has a parabolic profile. what is the expression I need to use to determine e at some other lenth along the beam
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