Question

In: Civil Engineering

A new bridge is to be constructed over the East River in New York City. Two...

A new bridge is to be constructed over the East River in New York City. Two structural possibilities exist: the support could be in the shape of a parabola or the support could be in the shape of a semi-ellipse.

The space between the supports needs to be 1050 feet.

The height at the center of the arch needs to be 350 feet. Determine the equation of a parabola with these characteristics. (Hint: Place the vertex of the parabola at the origin to simplify calculations).

Part 1

a. What is your equation for the parabola? An empty tanker, 520 feet wide and 260 feet high needs to pass beneath the bridge.

b. Can the tanker pass under this bridge? Justify your answer. Determine the equation of a semi-ellipse with the same characteristics. (Hint: Place the center of the semi-ellipse at the origin to simplify calculations)

Part 2

a. What is the equation for the semi-ellipse? Show the work required to determine the equation.

b. Will the tanker (520 feet wide and 260 feet high) be able to pass under this bridge? Justify your answer.

Part 3

a. If the river were to flood and rise 10 feet, how would the channel widths and the clearances of the two bridges be affected? Explain, using numbers, how the width of the channel would be affected for each bridge.

b. With all things considered, which bridge design would you choose? Explain your reasoning.

Solutions

Expert Solution

I hope the solution is clear.

Please do comment for further clarification.

If you find this solution helpful, Please give positive rating.

Thank you :)


Related Solutions

A city has built a bridge over a river and it decides to charge a toll...
A city has built a bridge over a river and it decides to charge a toll to everyone who crosses. For one year, the city charges a variety of different tolls and records information on how many drivers cross the bridge. The city thus gathers information about elasticity of demand. If the city wishes to raise as much revenue as possible from the tolls, where will the city decide to charge a toll: in the inelastic portion of the demand...
A person is bungee jumping. The bungee cord is attached to a bridge over a river....
A person is bungee jumping. The bungee cord is attached to a bridge over a river. At time t0, before the person jumps (and while she is at rest), the bungee cord is unstretched. At time t1, the cord is stretched and the person is moving downward at her maximum speed. At time t2, the person has fallen her maximum distance and the cord is stretched by its maximum amount. At t3, the person is moving back up toward the...
(10 pts) The city of New York is considering two separate cell tower providers. The city...
(10 pts) The city of New York is considering two separate cell tower providers. The city expects a benefit-cost ratio of 1.0 or better, and their cost of capital is 10% per year. Assume repeatability. Verizon AT&T Initial investment (first cost) $90,000 $170,000 Useful life in years 6 12 Market value at end of useful life $25,000 $40,500 Annual benefits from operation $30,000 $40,000 Annual operating expenses $9,800 $11,300 a. Conduct benefit-cost ratio on the Verizon and AT&T projects and...
How is the New York City Budget determined?
How is the New York City Budget determined?
How is the New York City Budget determined?
How is the New York City Budget determined?
New York City is the most expensive city in the United States for lodging.
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed with a standard deviation of $55.what is the probability that a hotel room costs $225 or more per night?what is the probability that a hotel room costs less than $140 per night?What is the probability that a hotel room costs between $200 and $300 per...
New York City is the most expensive city in the United States for lodging.
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $205 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed with a standard deviation of $55. Use Table 1 in Appendix B. a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)? b. What is the probability that a hotel room costs less than $143 per night...
If a bridge is above a river approximately 10 miles from the sea with a bridge...
If a bridge is above a river approximately 10 miles from the sea with a bridge deck of 170m What type of concrete is should be used? will it be sulphate resistant concrete or high performance concrete or any other? What will the Eurocode exposure class be ? will it be XS1 or XD1? or something else? Will it be EN206/BS8500 type of concrete?
The municipality of a major city in Quebec is planning to build a new bridge to...
The municipality of a major city in Quebec is planning to build a new bridge to decrease the traffic load on the existing bridges connecting both sides of the city across the river. Construction is to start in 2020 and is expected to take four years at a cost of $25 million per year. After construction is completed, the cost of operation and maintenance is expected to be $2.5 million for the first year and to increase by 2.8% per...
The City of San Francisco has two bridges, Golden Gate Bridge and Bay Bridge. Assume these...
The City of San Francisco has two bridges, Golden Gate Bridge and Bay Bridge. Assume these two bridges are designed to survive during earthquakes with magnitude of less than 7 Richter with the probabilities of 0.95 and 0.98. What is the probability that at least one of these two bridges collapse facing an earthquake with magnitude of over 7 Richter?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT