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2.4 Application 39
2.4 Application
2.4.1 Twenty-one Truss Members in Two Dimensions
The same process used for analyzing the two truss
members in the preceding example can be employed to solve a
more complicated truss structure. A truss structure, as shown in the
figure, consists of 21 members. All members have the same cross-
2
sectional area of .01 m and made from a structural steel material
2
with the Young’s modulus of 210 11 Nm . The structure is
supported by the hinges at the left and right ends, and is subjected
to different 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 truss
elements can be constructed easily by using the Line command.
The boundary conditions of fixed x- and y-displacements at the left
and right end hinges and the concentrated forces at lower nodes of
the model can be applied conveniently as shown in the figure.