Deriving Shape Functions for 2,3,4,5 Noded Line Element by Lagrange Functions and Verified

P. Reddaiah

doi:https://doi.org/10.14445/22315373/IJMTT-V51P559

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 6 | Year 2017 | Article Id. IJMTT-V51P559 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P559

Deriving Shape Functions for 2,3,4,5 Noded Line Element by Lagrange Functions and Verified

P. Reddaiah

Citation :

P. Reddaiah, "Deriving Shape Functions for 2,3,4,5 Noded Line Element by Lagrange Functions and Verified," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 6, pp. 424-428, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P559

Abstract

In this paper, I derived shape functions for 2,3,4,5 noded line element by lagrange functions and also I verified two verification conditions for shape functions. First verification condition is sum of all the shape functions is equal to one and second verification condition is each shape function has a value of one at its own node and zero at the other nodes. For computational purpose I used Mathematica 9 Software [2].

Keywords

Line element, Lagrange functions, Shape functions.

References

[1] S.S. Bhavikatti, Finite Element Analysis, New Age International (P) Limited, Publishers, 2ndEdition, 2010.
[2] Mathematica 9 Software, Wolfram Research, Version number 9.0.0.0, 1988-2012.
[3] J.N. Reddy, An introduction to Finite Element Method, 2nd Edition, McGraw Hill International Editions, 1993.