Mechanics of Materials

The simplest structural member is an axial bar, or rod. An axial bar is a long straight body on which the forces are applied along the longitudinal axis. Cables can also be analyzed as axial members if the cables are straight. An axial bar can support tensile or compressive forces whereas a cable cannot support compressive forces. The hydraulic cylinders on the dump truck in Figure 4.1 are examples of axial members in compression, whereas the cables of the suspension bridge are examples of axial members in tension. Connecting rods in an engine, struts in aircraft engine mounts, members of a truss representing a bridge or a building, spokes in bicycle wheels, columns in a building-these are some other examples of structural members that are analyzed as axial members.
The simplest theory for axial members will be rigorously developed following the logic shown in Figure 3.15, but subject to the limitations described in Section 3.13.
The formulas from the theory will be used in the design and analysis of statically determinate and indeterminate structures. The two most important tools in the analysis of structures are the construction of free-body diagrams and approximate deformed shapes.
The two major learning objectives are:
Understand the theory, its limitations, and its applications for the design and analysis of axial members.
Develop the discipline to draw free-body diagrams and approximate deformed shapes in the design and analysis of structures.
The theory will be developed subject...