Reference no: EM131171792
Exercise 1: Heat distribution
Part of monitoring a structure is determining its heat distribution; this may help to avoid thermal stress, where a material such as concrete or steel may crack or develop a weakness on account of heat or cold.
This problem concerns a concrete bridge support, shown in figure 1, which has a square cross section. It bottom is anchored in the river bed; its sides are in the water, and its top is exposed to the air.
1. Find appropriate values for the temperature of the river bed, and of the water and air. For this problem, you can assume that the water has the same temperature at every depth.
2. To determine the heat distribution of the bridge support, we shall consider four internal equally spaced "nodes", which are shown on the left in figure 2.
For computing the temperature at each node we can use the "mean value property" which is illustrated on the right; this says that the temperature at a point is the average of the temperature of four equally spaced points: b = (a1 + a2 + a3 + a4)/4.
Use your values from part 1 to develop a set of equations for the temperature at each of the nodes, and solve those equations.
|
Pros and cons of applying the same hurdle rate
: What are the pros and cons of applying the same hurdle rate for our investments across all global operations versus allowing individual country managers to incorporate sovereign spreads?
|
|
Improving decision making
: For this Individual Project you will analyze publicly available information about a Fortune 500 Company and develop an assessment of the corporate strategy and its ability to increase competitive advantage.
|
|
What is the most important factor a company should consider
: A low involvement purchase decision is a routine purchase that poses little risk to the consumer. Name a product that you purchase that is a low involvement purchase, such as trash bags. As the marketing manager for a company that sells the produc..
|
|
Assets liabilities cash
: Assets Liabilities Cash $200,000 DD $2,000,000 RR = $250,000 Dep at Fed $100,000 19. This bank can safely expand its loan portfolio by A. $150,000 B. $200,000 C. $50,000 D. $0 E. Impossible to determine based on the info provided
|
|
Find appropriate values for the temperature
: Find appropriate values for the temperature of the river bed, and of the water and air. For this problem, you can assume that the water has the same temperature at every depth.
|
|
Explore funding from international lending institutions
: Explore whether or not funding from international lending institutions like the World Bank and the IMF are helping or hindering the social, economic, or political development of the country that you have selected.
|
|
Inflationary pressure is growing problem for the economy
: Inflationary pressure is a growing problem for the economy. Therefore, the Federal Reserve decides to pursue a policy to reduce the inflationary pressure. Which policy changes by the Fed would reinforce each other to achieve that objective?
|
|
Give a polynomial example showing that it is not sufficient
: The property that the vector on the right-hand side of a differential equation points into the interior of the first orthant is obviously a necessary condition for negative cross-effects to be absent. Give a polynomial example showing that it is n..
|
|
Assume the government purposely incurs budget deficit
: Assume the government purposely incurs a budget deficit that is financed by borrowing. As a result, interest rates rise and the amount of consumption spending declines.
|