Page 147 - Finite Element Analysis with ANSYS Workbench

138 Chapter 8 Failure Analysis

We will use ANSYS through its Workbench to find the
eigenvalues, eigenvectors together with the critical buckling loads
and mode shapes by using an academic example of a single beam
in the following section.

8.1.2 Academic Example

A rectangular shape beam with the length of 1 m and
cross-sectional dimensions of 0.02 0.01 m is shown in the figure.
The beam material is the structural steel that has the Young’s
modulus of 210 N m 11 2 . The left end is clamped into a wall
while the right end is simply supported so that it can move only in
its axial direction. The right end is subjected to a compressive
force of P = 1 N. We will employ ANSYS to determine the critical
buckling loads at different mode shapes.

y
h

P

x b
L

2

L  1m ; E  210 11 N m ; P  1N
b  .02 m  1

4
 I  bh  3 1.666667 10  9 m
h  .01 m  12

(a) Starting ANSYS Workbench

 Open the ANSYS Workbench, set the Units menu on the

upper tab to Metric (kg,m,s, C,A,N,V).
 On the Analysis Systems window, click twice on the Static
Structural item. A new small box will appear on the
Project Schematic window.
 Retype the name in the lower blue tab as the desired project
name, e.g., Beam Buckling Analysis, and hit Enter.