Shape Functions 4-Finite Element Method-Assignment Solution, Exercises of Mathematical Methods for Numerical Analysis and Optimization

This assignment solution was submitted to Amar Sharma for Finite Element Method course at Aligarh Muslim University. It includes: Coordinates, Nodes, Values, Shape, Functions, Expressions, Putting, Element

Typology: Exercises

2011/2012

Uploaded on 07/08/2012

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Pb#3.4
Solution:
The (x, y, z) co-ordinates of nodes i,j,k and l of an element are (2,4,2), (0,0,0), (4,0,0) and (2,0,6).
To find the values of Shape Functions we will use these expressions
where
Putting values of
We get
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Pb#3.

Solution:

The (x, y, z) co-ordinates of nodes i,j,k and l of an element are (2,4,2), (0,0,0), (4,0,0) and (2,0,6).

To find the values of Shape Functions we will use these expressions

where Putting values of We get

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And as we know that Hence

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