CoursHeroTranscribedText: This problem will introduce you to an example of a simply supported beam subject to a load modeled as a point force. The background provides all of the equations and variable definitions needed to achieve the tasks described. Below represents a simply supported beam of length L subject to a force F. The beam has a width w and height h. The beam also has a Young's modulus, E, which represents the ability of material to withstand changes in length (sometimes referred to as modulus of elasticity). A data file "MA5_MaterialElasticity.mat) is provided that contains materials with associated Young's moduli. For a single force the deflection of the beam is determined using the derived equation -0? + R?' ? sa ?(?) = { 6?1 Eq. 1 -0? + R?' - (? - a) 3, ? > a 6?1 6?1 where I is the area moment of inertia of the cross section, R is the reaction force on the beam at the left end, and 9 is the clockwise rotational angle of the beam at the left end. These have already been derived for you and are given by the following equations: I - 2h 3 Eq. 2 12 R = =(L-a) Eq. 3 0 = 20 (2L - a)(L - a) Eq. 4 6 ? IL Following the tasks below, you will develop a program that will calculate the deflection of this simply supported beam with one or more loads for any beam material, dimensions and loading. You may assume that the given values will always be in SI units; this implies that the deflection equation above will calculate the deflection in neters. See MA5_SampleCalculations for examples of these beam deflection calculations