well, as long as they are to the questions given below. But try to explain everything that you present in detail. 1-) State the meanings and express their importance for the following notions regarding finite element methodology. After that, summarize the reasons for applying this method, its advantages and how it is applied. Nodes: Elements: 2-) Boundary Conditions: Symmetry: Static Equilibrium Equation: ...... II B Concentrated Force d Consider that you have a shaft (circular cross-section) shown in the figure above and it is subjected to a fluctuating force (concentrated, shown in the picture above) on the right end, varying from -F to F. The beam is cold rolled AISI 1030 Steel and the semi-circular groove and fillets are machined surfaces. Assume you are given all dimensions, fatigue factor of safety, material properties such as yield strength and ultimate tensile strength, fatigue factors (size factor, surface factor, reliability factor, etc.), stress concentration factor and notch sensitivities for regions I and II. How do you determine the maximum force that can be applied, i.e., F? You don't need to present any numerical solution, just demonstrate the solution steps with required formulations and explanations. Hints for some useful terms: Critical region, Goodman criterion, endurance limit, bending stress, six fatigue factors on endurance limit. 3-) Suppose that you are working in R&D department of an automotive company and I you would like to handle a topology optimization problem by using a specific software. What are the steps you should take while you are performing this analysis? Summarize briefly (Consider terms such as resonance, Von Mises stresses, CAD, manufacturing issues, commenting on the results, etc. Remember the example problem I gave you in detail during the corresponding class).