Abstract
Analyzing a structure is synonymous to computing its internal forces. There are several approaches to the analysis of a structure but they can all be reduced to two: the force method and the displacement method. Whilst the former was historically paramount and is still important for simplified models of structures, the displacement method is nowadays the main analysis tool. In this chapter we will analyze a simple structure by both methods to highlight their main features.
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Notes
- 1.
If the structure is statically determinate, that is, if the redundancy is zero, such as for a beam on two supports, there is no need for the Force method to compute the redundants: there simply are no redundants. The Force method is applicable only to compute the redundant forces.
- 2.
This in only true for a determinate beam. A force on top of a flexible support in a redundant beam will affect the entire beam.
- 3.
In truth the vertical displacement is \(L\sin \theta \), but we consider very small displacements for which, in this case, \(\sin \theta \rightarrow \theta \).
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© 2016 Springer International Publishing Switzerland
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Fuchs, M.B. (2016). Structural Analysis. In: Structures and Their Analysis. Springer, Cham. https://doi.org/10.1007/978-3-319-31081-7_8
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DOI: https://doi.org/10.1007/978-3-319-31081-7_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-31079-4
Online ISBN: 978-3-319-31081-7
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