Isoparametric Formulation; it's elementary, really

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SUMMARY

The discussion centers on the application of isoparametric formulation to express deflection information in finite element analysis. Specifically, it addresses the transformation equations between global coordinates (X1=5cm, X2=12cm) and local/natural coordinates for deflections U1=0.01cm and U2=0.025cm. Participants express confusion regarding the formulation and seek guidance on how to approach the problem effectively. The lack of clarity in textbooks on this topic is highlighted, indicating a need for better resources.

PREREQUISITES
  • Understanding of finite element analysis (FEA)
  • Familiarity with isoparametric elements
  • Knowledge of coordinate transformations in FEA
  • Basic proficiency in mathematical equations related to deflection
NEXT STEPS
  • Study the principles of isoparametric formulation in finite element analysis
  • Learn about coordinate transformation techniques in FEA
  • Review textbooks or resources specifically covering isoparametric elements
  • Explore practical examples of deflection calculations using isoparametric methods
USEFUL FOR

Students in engineering disciplines, particularly those studying finite element analysis, as well as educators and professionals seeking to deepen their understanding of isoparametric formulation and its applications in structural analysis.

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Homework Statement


Use the isoparametric formulation to express the following deflection information: U1=0.01cm, U2=0.025 cm with the corresponding global coordinates X1=5cm, X2=12cm
Show the transformation equations between the global coordinate, the local coordinate, and the natural coordinate

Homework Equations


I really wish I knew.

The Attempt at a Solution


I've been confused, oblivious, and completely ignorant enough times that it could be a certifiable miracle I'm a graduate student today, but I cannot recall a time I've been this derailed. I don't even know what this question is asking. If someone could even just be like, "hey do this to get started," I'd be in your debt. I have two textbooks supposedly on this information and neither of them identify what I'm looking at here.
 
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