Civil and Environmental Engineering 2221A/B Lecture Notes - Lecture 9: Flexural Rigidity, Statically Indeterminate, Virtual Work
1 Mar 2019
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Document Summary
Learn various techniques to calculate deflections and rotations of statically determinate structures (trusses, beams and frames) Based on a consideration of the geometry of the deflected shapes of structures. Based on the principles of work and energy. Virtual work principle and castigliano"s second theorem method. Applicable to all structure types (trusses, beams, frames, etc. ) All structures under consideration are linear -elastic, therefore their deflected shapes are described by elastic curves; Deflections ( ) and rotations ( ) are very small compared to dimensions of the structure members. The deflection of a structure is ultimately caused by its internal forces such as axial forces, shear forces, and bending moments. For beams and frames, the contribution to the deflection due to bending moment is in general far greater than the contributions due to axial and shear forces. For trusses, the deflection is caused by axial force only (no bending moment or shear force in truss members)
