Influence Lines, Virtual Work, and Structural Analysis Methods
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Influence Lines and Structural Analysis
Influence lines (IL) and their use in structural analysis. Methods of IL construction.
Internal forces and bending moments caused by moving loads can be solved with the help of influence lines. Influence line S graphs the variation of a quantity S at a specific point x on a beam or truss caused by a unit load F=1 placed at any point u along the structure.
Methods for constructing the influence line:
- Analytical method (creating equations using equilibrium conditions)
- Kinematic method (Müller-Breslau Principle; using principal of virtual work)
- Combination of above-mentioned methods
- Numerically (based on definition, i.e. tabulation of the influence values for multiple points along the structure)