1) Solve the textbook's example problem by hand (aka "the original problem"). As noted in the problem, report deflection at the free end of the bean and the maximum stress in the beam. Example 1.1. A Simple Finite Element Analysis A tapered steel bar of rectangular cross section is used to support a horizontal load F= 10,000 N as shown in the figure below. We are required to use FEA to determine the deflection at the free end of the beam and the maximum stress in the beam. 1 = 0.005 m 0.02m 0.6 m 2) Solve a variation of the original problem by hand = change the material to titanium (assume a Young's modulus of 120 GPA), keep the other parameters the same. 3) Solve the original problem with Matlab. Solve the titanium variation of the problem with Matlab. 5) with Matlab, solve additional variations of the original problem in steel as four different cases: 5.1) a different thickness of part (your choice) 5.2) a different length of part (your choice) 5.3) four equal length elements 5.4) six equal length elements 6) Comment on how much the changing of numbers of elements changed your answers of deflection and maximum stress. Solve the original problem's statement using Solidworks. Solve the titanium variation using Solidworks (use SW's Ti properties). 9) Solve your chosen length variation using Solidworks. 10)Comment on how your Solidworks solutions compare and contrast to your Matlab solutions