This presentation deals about the one dimensional analysis in Finite Element Analysis.

1. One Dimensional
Problems in FEA
PRESENTED BY
P.SIVASUBRAMANIYAN
AP/MECH, KCET.

2. Types of Elements
Simplex Elements (Having Primary nodes)
Higher order elements (having primary
and secondary nodes)

3. Common Types of Elements
One-Dimensional Elements
Line
Rods, Beams, Trusses, Frames
Two-Dimensional Elements
Triangular, Quadrilateral
Plates, Shells, 2-D Continua
Three-Dimensional Elements
Tetrahedral, Rectangular Prism (Brick)
3-D Continua

4. Location of Nodes
 Optional
 Essential

5. No of Elements
 Elements to be chosen related to the accuracy desired.
 Size
 Number of DOF

6. Node Numbering Scheme
 Maximum node number – Minimum node number =
Minimum
 Shorter side node numbering is better than Longer side

7.  M/c component is loaded, displacement occur at various
parts of the component. These displacement of various
parts are known as DOF

8. +
X
-X
+
Y
-Y
+
Z
-Z
12 Directions

9. Boundary Conditions
F
Geometric or
Essential BC
1
2
Natural or
Optional BC

10. Functions
 Finite Element Equation
(Displacement at primary nodes)
 Shape Functions
(Displacement at other locations in terms of primary
nodal displacements)

11. Coordinate systems
 Global
 Local

12. Interpolation Functions
 The function used to represent the behaviour of the
solution within an element is called interpolation function
or approximate function.
 Polynomial
 Trignometric

13.  Linear elements Ф = a1 + a2X
 Higher order (or) Non linear element
Ф = a1 + a2x +a3 x2+ ……. Complex element
Simplex
element