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  General

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  SKMM3033: Finite Element Method

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  Synopsis

  This course gives students an exposure to the theoretical basis of the finite element method and its implementation principles, and introduces the use of general purpose finite element software for solving real-life engineering problems.

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• Select topic Topic 1

  Topic 1
  Introduction to Finite Element Method (FEM)
  
  The students are expected to be able: 1. To explain the advantageous and disadvantegous of Finite Element Method (FEM) in engineering applications; 2. To define the basic types of elements used in FEM
  

  • Select activity Topic 1: Introduction to Finite Element Method

    

    Topic 1: Introduction to Finite Element Method File
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  Topic 2
  Matrix algebra and Gaussian Elimination Method
  
  The students are expected to be able: 1. To understand matrix manipulation to solve simultaneous equations; 2. To apply Gaussian Elimination method to solve simultaneous equations
  

  • Select activity Topic 2: Matrix algebra and Gaussian Elimination Method

    

    Topic 2: Matrix algebra and Gaussian Elimination Method File
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  Topic 3
  One dimensional (1-D) problems
  
  The students are expected to be able to describe shape function for a 1-D element displacement based on the natural coordinate
  

  • Select activity Topic 3: One dimensional (1-D) problems

    

    Topic 3: One dimensional (1-D) problems File
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  Topic 4
  Potential energy approach: 1-D bar stiffness matrix
  
  The students are expected to be able to derive the stiffness matrix for a 1-D bar element using the minimum potential energy theorem
  

  • Select activity Topic 4: Potential energy approach: 1-D bar stiffness matrix

    

    Topic 4: Potential energy approach: 1-D bar stiffness matrix File
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  Topic 5
  Equilibrium equations using energy approach
  
  

  The students are expected to be able to understand the Minimum Potential Energy theorem used to solve FEM problems

  
  

  • Select activity Topic 5: Equilibrium equations using energy approach

    

    Topic 5: Equilibrium equations using energy approach File
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  Topic 6
  Coordinate transformation: Truss stiffness matrix
  
  The students are expected to be able to execute coordinate transformations of 1-D bar element for plane truss element

  • Select activity Topic 6: Coordinate transformation: Truss stiffness matrix

    

    Topic 6: Coordinate transformation: Truss stiffness matrix File
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  Topic 7
  Prismatic beam elements
  
  The students are expected to be able to formulate the stiffness matrix and and load vector for a beam element

  • Select activity Topic 7: Prismatic beam elements

    

    Topic 7: Prismatic beam elements File