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A metropolitan area lies along the two banks of a river - or the two shores of a bay as in the SF Bay Area. This body of water is W km wide and L km long. Studies show that F cars will travel across the water each day if bridges with enough capacity are constructed to carry the traffic. We estimate that the daily interest society must pay on the bonds issued to pay for a bridge with a capacity to carry f cars per day is C = (a + bf)W dollars per day. We also assume that the origins and destinations of the F trips are uniformly and independently distributed along the two shores and that everyone uses the bridge that involves the shortest detour. These detours cost commuters . dollars per vehicle-km, including time wasted and out of pocket expenses. Let n be the number of bridges constructed between the two shores (and note that bridges cannot be constructed at the northern or southern edge of the metropolitan area).
Assume that the n bridges are equidistant, that a trip requires a detour if its origin and destination are between the same two consecutive bridges or between a bridge and the northern or southern edge of the metropolitan area, and that the average length of a detour is 1/3 of the separation between bridges, L/(n+1).
Write a formula for the number of bridges that minimizes the sum of the construction and detour costs. (This is not necessarily the solution that society would choose based on the political process, but it should be a rough approximation.)
compute the allowable load on a column with fixed ends if it is 5.45 meters long and made from an S150 x 18.6(S6 x 12.5) beam. The material is ASTM A36 steel. Use the AISC formula.
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could you please help me to figure out what the meaning of steady state in the pavement management system preservation and rehabilitation.
A clay ball (m=0.82 kg) is thrown at a metal target (M=1.72 kg) that is suspended from a cable. The ball is released 1.5 m above teh ground at an angle of 32 degrees.
Consider some hypothetical X+ - Y - ion pair for which the equilibrium interionic spacing and bonding energy values are 0.38 nm and - 6.38 eV respectively. If it is known that n in the equation has a value of 10
Additional engine weight is added for each horsepower of additional engine power..
Force P is directed from point A(5,10,3) towards point B(1,-2,5) and has a magnitude of 15N. Vector Q=6i+2j-5k. When finding the projection of P onto Q what do you do with the 15N
A soil core is selected that consists mostly of quartz and has a total volume of 200 mL. The soil mass as collected (i.e., wet) is 326 g and 290 g after it is dried.
A pipeline 1200ft long and 8in. in diameter hasat its inlet point 75ft of available hydraulic energy with respectto the reference level. The velocity in the pipe is 5fps; thepressure at its end is 12psi.
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