1. Finite elements
Pisud Witayasuwan

2. Introduction
Exact = PL/AE = (10000*20 )/10*(30*10^6) =670*10^-6 in

3. Aspect ratio
Case 1(L/d=1) Case 2 (L/d=2)
Case 3(L/d=5)

4. Aspect ratio 0.99 Case Aspect Ratio Number of Nodes Number of Elements
FEM
10^-6
Exact
Error % 1 6 4
674.7
670
0.701 2
663.7
0.940 3 5 22 20
663.4
0.99

5. The number of elements Case 1 (L/d)=1 Case 2 (L/d)=1

6. The number of elements Case Aspect Ratio Number of Nodes
FEM
10^-6
Exact
Error % 1 6 4
674.7
670
0.701 2 15 16
671.9
0.284 3
663.7
0.940 10 8
670.4
0.060

7. Conclusions
The element increases and keep same L/d, the accuracy of the finite element solution increases.
The aspect ratio decreases, the accuracy of the finite element solution increases.