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1. Based on the information presented in the case, prepare a On the morning of June 23, 2020, at 10:29 a.m. local time, a strong earthquake gripped report where they resolve the following two possible communities across Mexico. The magnitude 7.4 quake spread just south of the coastal city of Crucecita in the southern state of Oaxaca and sent a jolt to the earth that caused buildings situations. hundreds of miles away to sway like grass in the wind. An estimated half a million people The beam is simply supported at both ends and a felt the ground convulse under their feet, the U.S. Geological Survey reports. constant load w 0 is evenly distributed along its length. 2. The beam is recessed at both ends and w (x) is a Throughout history, we have built impressive structures and cities just for them to meet the concentrated load w 0 applied at x = It / 2 forces of nature. Earthquakes are one of the most destructive forces on Earth: seismic waves 2. Note: It is recommended to consider the following: all over the ground can destroy buildings, claim lives, and their loss and repair cost 1 . sen k t cosh ktk (s 2 + 2k2) s4 +4 k4 enormous amounts of money. 2. cos k t senhkt k (s 2 - 2 k 2 ) s 4 +4 k 4 Over the past few decades, engineers have introduced new designs and building materials o better equip buildings to withstand earthquakes. Suppose you work for a construction company in which it is required to do the analysis of a beam that is on an elastic base to know the deflection of this. It is a beam that is known to have its weight evenly distributed as shown in the figure, and will be considered to be on an elastic base, the differential equation for deflection isy(x) "dx4 +ky = w(x) For this problem it is explained that it is the modulus of the base so the opposite force that causes the beam to be restored is , clearly this force is opposite of the load .k - kyw(x) The differential equation shall be written as follows: dx+ + 4aty = w(x) EI they are also told that, Suppose that a = (k/4E1)1/+L = my a = 1