ASSIGNMENT OF
FINITE ELEMENT METHOD
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Collocation Method2-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: Deflection, Beam, Elastic, Foundations, Dimensionless, Quantity, Transverse, Collocation, Method
Typology: Exercises
2011/2012
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ASSIGNMENT OF
FINITE ELEMENT METHOD
Question No. 5.
The deflection of a beam on an elastic foundation is governed by the equation
Where and are dimensionless quantities.The boundary conditions for a simply supported are
given by transverse deflection and bending moment By Taking two term trial function as with and. Find the Solution of problem using Collocation method with collocation points and.
SOLUTION:
Residual is given by
----(1)
As,
R= + -1 -----(3)
Now Put the Collocation Point value and set this equation equal to zero
Take First point
0= + -
0=