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AE420/ME471/CSE453 – Introduction to the finite element method List of application problems University of Illinois, Urbana Champaign AE 420

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AE420/ME471/CSE453 – Introduction to the finite element method List of application problems Topic 2: Finite element formulation and analysis for 1-D Poisson problems Problem 2.1 Finite element for a rope problem One of the simplest mechanical systems consists of a rope of initial length L under tension T and subjected to a lateral force f(x) (Figure 2.1). T u(x) x u f(x) T 0 L Figure 2.1 If we assume that the deflection u(x) is small and that the tension T is constant, the expressi...

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