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3.3 Academic Example 55
3.3.2 Twenty-one Beam Members in Two Dimensions
The same process used for analyzing the two beam
members in the preceding example can be employed to solve a
more complicated frame structure. A frame structure, as shown in
the figure, consists of 21 members. All members have the same
2
cross-sectional area of .01 m and made from a structural steel
2
material with the Young’s modulus of 210 11 Nm . The frame
structure is fixed at the lower left and right ends and subjected to
five vertical loadings as shown in the figure.
A .1 .1 .01m 2 Y
E 210 11 N m 2 5 m 1 m
5 m
X
1000 N 1000 N
2000 N 2000 N
4000 N
The finite element model consisting of 21 two-node beam
elements can be constructed easily by using the Line command.
The boundary conditions of the complete constraint at the left and
