(Solved Homework): The Richter magnitude scale is a method to measure the magnitude of an earthquake. It assigns a magnitude number

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(MATLAB) – using matlab program

The Richter magnitude scale is a method to measure the magnitude of an earthquake. It assigns a magnitude number to quantify the energy released by an earthquake. However, this is not the only method to measure the magnitude of an earthquake. The Kelly Kiloton Index (KKI), formulated in 2006 by H. A. Kelly of UCLA, in consultation with Geoffrey Mess of the UCLA Math Department, aims at giving a “realistic” picture of earthquake energy (equivalent energy released by an explosion of TNT). It uses the kiloton 1000 metric tons -2,200,000 lbs) as the basic unit (Source: UCLA Department of English). The following table shows the Richter scale measure and its approximate amount of energy released in kiloton. hter Scale lly Kiloton Index 0.001 2.0 2.5 0.006 0.032 3.0 3.5 0.180 6.0 1000.000 6.1 2000.000 5600000.000 8.5 8000000.000 8.6 500000000.000 9.9 10.0 1000000000.000

Expert Answer

2 (a)2(b3. The Exponential Equation is the BEST FIT. As R² value is maximum and closest to 1.

4. For Richter Scale (x) = 5, Using Exponential Equation, we get KKI = 28.86.

5. (a) The strucutre can withstand 4000000 Kiloton. So corresponding Richter Scale Value from Exponential Equation is = 8.446.

5. (b) The building proposal is acceptable as max earthquake never exceeded 7.0 and the structure can withstand 8.446. So FOS = 8.446/7 = 1.20

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