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Chapter
2
Truss Analysis
Analysis of truss structures is normally used as the first
step toward understanding the finite element method. The analysis
is simple because the truss (rod or spring) element contains only a
displacement unknown in its axial direction at each node. The
finite element equations are easy to derive and problems with few
elements can be solved by hands.
2.1 Basic Equations
2.1.1 Differential Equation
A one-dimensional equilibrium equation, in the x-
direction of a truss member without the inclusion of its body force,
is governed by the equilibrium equation,
