Axial Loaded Members: Summary and Further Reading
Course subject(s)
2. Axial Loaded Members
Summary of Key Equations
In this unit, we examined the development of a Force-Displacement relation for axial loaded members. For a generic axial loaded member where the internal axial force (P), material stiffness (E), and cross-sectional area (A) all vary with position x along the length of the beam (L), this relationship can be expressed as:
δ=∫LP(x)E(x)A(x)dx
In many cases, we deal with axial loaded members with a uniform cross section, uniform material stffness, and uniform internal load. In this case, the above relationship reduces to:
δ=PLEA
Some axial loaded members, such as cables and springs, have complex geometries. In these cases, effective stiffnesses (k) or effective areas (Aeff) are determined experimentally to relate load and deformation:
δspring=Pk
δcable=PLEAeff
Further Reading and Problems
2.1 Load-Deformation Behaviour of Axial Loaded Members
Supplementary textbook reading: Ch. 4.1 – 4.3, 4.6
Practice problems: 4-1, 4-5, 4-17, 4-27, 4-29
2.2 Statically Indeterminate Problems
Supplementary textbook reading: Ch. 4.4 – 4.5
Practice problems: 4-46, 4-57, 4-66
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