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Chapter
3
Beam Analysis
Frame structures such as high-voltage power trans-
mission towers, large bridges and tall buildings use beams to
provide high strength at low weight. Most of the beam cross
sections are in I, L, U, C, O and rectangular shapes with different
areas and moments of inertia. In an undergraduate strength of
materials course, analytical solutions of the deflection and stress of
a single beam under simple loadings and boundary conditions are
normally derived by using conventional approach. However, for a
complicated frame structure with many beam members oriented in
three dimensions, it is difficult to obtain solutions by following
such approach. The finite element method through the use of a
software can provide solutions effectively as explained in this
chapter.