Page 54 - Finite Element Analysis with ANSYS Workbench

3.3 Academic Example 45

must be transformed into three dimensions too. The sizes of
element matrices increase and the element equations now contain
more unknowns. Developing a computer program is thus a must in
order to analyze practical problems.
We will use ANSYS through the Workbench to solve
for beam solution behaviors. We will start with simple academic
type example containing only few elements before analyzing a
more realistic problem in three dimensions.

3.3 Academic Example

3.3.1 Two Beam Members in Two Dimensions
A two-dimensional frame structure consisting of two
members is shown in the figure. The two members have the same
2
cross-sectional area of .0004 m and made from the same material
2
with the Young’s modulus of 710 10 Nm . The lower right end
is subjected to a horizontal force of 500 N pulling to the right and a
downward force of 2500 N. Each member is modelled by a two-
node beam element. We will use ANSYS Workbench to solve for
the deformation shape and the stresses that occur in the members.

Y


A  .02 .02  .0004 m 2

E  710 10 N m 2
1 m
2500 N

500 N
X

1 m