The basis of finite element analysis (FEA) relies on the decomposition of the domain into a finite number of sub-domains (elements) for which the systematic approximate solution is constructed by applying the variation or weighted residual methods (Erdogan Madenci. Ibrahim Guven, 2006). In effect, FEA reduces the problem to that of a finite number of unknowns by dividing the domain into elements and by expressing the unknown field variable in terms of the assumed approximating functions within each element (M. Asghar Bhatti, 2005). These functions (also called interpolation functions) are defined in terms of the values of the field variables at specific points, referred to as nodes. Nodes are usually located along the element boundaries, and they connect adjacent elements. This assignment is a demonstration on how engineers use numerical solutions to refine and validate design in the early stages of product design. For the task1 of this assignment, a bracket with structural isotropic material properties of young’s Modulus, E=200Gpa, v=0.3 and . Will be analyze, two things are important to the design engineer, what is the applied force on the material that will cause it to begin to fail given the properties and geometry shown in figure 1A below. At what point does it begin to fail (What point has the maximum stress). Having knowledge of these two factors, the engineer will decide to design the bracket to bear this load without failure or if the load to be applied will be reduce provided the design is not necessary a product or component that must bear such load. At every point in the design, the design engineer is inclined to make decisions that will affect the overall functionality of the

Nangi Ebughni Okoria- Cume42-09/10-00089., February 2012- MED 305-assigt1: Assessor: H. Wahyudi

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various components involve in the design. Computer aided engineering , has made sure that the engineer will not pass through the cumbersome experience of conducting laboratory test to determine failure, rather few hours spend on the workstation ( computer system ) with a hightech finite element software, will not only save time, but the resources involve for every laboratory experiment. And with the integration of CAD modeling software to FEA software, the engineer can actually model the real components and conduct test that are closely related to how the system will perform in its application. Task2 of this assignment is to explore the effect of bending moment and torque and the corresponding, shear stress and normal stress respectively. There are some designs that the engineer has to consider the effect at a particular point, element or component. For this task, we will consider the stress at point A due to the effect of the bending moment and torque produce by the applied force. Task 3 is a modal analysis on a simply supported solid brick; two natural frequencies are to be presented. In design, it is essential that the natural frequency of the system is known so as to find out if the system can...