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Finite Element Analysis - Part 4
SHAPE FUNCTION DERIVATION FOR
EIGHT NODED RECTANGULAR ELEMENT
Finite Element Analysis - Part 4
SHAPE FUNCTION DERIVATION FOR THE
SIX NODED TRIANGULAR ELEMENT
Finite Element Analysis - Part 4
UNIT – IV
TWO DIMENSIONAL VECTOR VARIABLE
PROBLEMS
Axisymmetric Elements
In previous chapters, we have been concerned with one
dimensional elements and two dimensional elements. In this
chapter, we consider a special two dimensional element
called the axisymmetric element.
The required conditions for a problem to
be axisymmetric are as follows
 The problem domain must be symmetric about the axis of
revolution, which is conventionally taken as the z axis.
 All boundary conditions must be symmetric about the axis of
revolution.
 All loading conditions must be symmetric about the axis of
revolution.
Three node axisymmetric triangular
element
Axis symmetric formulation
Finite Element Analysis - Part 4
Finite Element Analysis - Part 4
Finite Element Analysis - Part 4
Derivation of shape function for
axisymmetric element
Finite Element Analysis - Part 4
Strain displacement matrix for
axisymmetric triangular element
Stress-strain relationship matrix for
axisymmetric triangular element.
Assemblage of element stiffness matrix
STRESSES
STRAINS
Finite Element Analysis - Part 4

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Finite Element Analysis - Part 4