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I’m not sure any of this is right can someone confirm where I went wrong Geology

ID: 287706 • Letter: I

Question

I’m not sure any of this is right can someone confirm where I went wrong Geology, Society, and the Environment Geol 322 Risk, Uncertainty, and Decision Analysis Problem I. Optimizing Construction for Earthquake Risk Your company is planning to build a $3 million dollar office building in Los Angeles Assume that this is the cost for standard construction and will lead to an expectation of $3000 damage from an earthquake of 6.0, but will satisfy local building codes. Stronger earthquakes are likely to occur, however, and you want to estimate the optimum additional funds to invest in the building. Based on engineering and architectural studies, the cost of better construction standards and probable earthquake damage can be estimated. Constructing a plot of the annual estimated building damage based on the earthquake risk provides a way to help answer the question. To do this, you will need to determine the frequency of earthquakes and associated risk to the building. This graph can then be compared to the cost of improving construction. Assume a 100-year life expectancy for the building. 1. Using the data below, compute the average earthquake frequency for various magnitudes; plot these on the semi-log paper provided. Use the x-axis for frequency and the y-axis for magnitude. (First and fifth entries are done for you). magnitude recurrence interval 12 days average frequency ( 30.4 per year) 4.0 4.525 days 5.0 5.5 2 months 5.8 months2.? 3.33 years 6.0 20years 0.83 5. 6.5 0,0 15 2 Next, extrapolate to a magnitude of 8 on the graph and enter the average frequencies in the table shown below. Complete the table to determine the annual cost of earthquake damage and the annual extra cost for additional earthquake protection construction. Do this by multiplying the 2nd and 3rd columnsand entering the result in the 4a column. Data in the 5° column were provided by the architect and engineer. , earthquake earthquake estimated expeeted magnitude frequency building annual bldg extra cost yearly for protective cost (t per year), damage (S) 0.83 damage (syr) 2,490 -1 construction (S)-(Syr) 3,000 9,000 30,000 62100,000 90,000 300,000 1,000 2,500 7,500 25,000 6.5 0.05 250,000 750,000 2.5 million 7.5

Explanation / Answer

1.

here you have calculated the value of frequency corresponding to 6.5 wrong.it will be 0.30.

Now you can extrapolate the graph by plotting points.

2. here, estimated damage * estimated damage = expected annual damage

magnitude rec. interval frequency 4.0 12days 30.4 4.5 25days 14.6 5.0 2 months 6.0 5.5 5.8 months 2.06 6.0 1.2 yr 0.83 6.5 3.33 yr 0.30