Deformation–Displacement Relations
Consider the planar truss structure shown in Fig. 2.22. Suppose the members experience deformation and one wants to determine the final position of node B. Our approach is based on…
Computation of Deflections
Introduction The deflections of the joints are due to the change in length of the members that make up the truss. Each member is subjected to an axial force which…
Complex Trusses
Complex trusses are defined as truss structures that cannot be classified as either simple or compound trusses. In order to determine the member forces, one has to establish the complete…
Analysis of Planar Trusses
In this section, we focus on introducing analysis and behavior issues for planar trusses. The discussion is extended in the next section to deal with threedimensional space structures. The analysis…
Historical Background
The first application of truss type structures is believed to be in Egyptian boats built between 3,100 and 2,700 BC. Egyptian boat builders used trusses constructed by tying the members…
Types of Truss Structures
Simple two-dimensional (2-D) truss structures are formed by combining one-dimensional linear members to create a triangular pattern. One starts with a triangular unit, and then adds a pair of members…
Deformations and Displacements
When a body is subjected to external loads, internal forces are developed in order to maintain equilibrium between the internal segments. These forces produce stresses which in turn produce strains…
Idealized Structure: Free Body Diagrams
Generating an idealization of an actual structure is the key step in applying the equilibrium equations. Given a structure acted upon by external loads and constrained against motion by supports,…
Basic Analytical Tools of Structural Analysis
Engineering a structure involves not only dimensioning the structure but also evaluating whether the structure’s response under the construction and design loadings satisfy the specified design criteria. Response evaluation is…
Properties of Loadings
The previous discussion was focused on the source of loadings, i.e., environmental, functional, construction, and terrorist activity. Loadings are also characterized by attributes, which relate to properties of the loads.…
