2010•Journal of Shenyang Jianzhu UniversityRequires access

Virtual-Cantilever-Beam Method for Deflections of Beams and Frames

Yuan Xue-Zhong

Abstract

The virtual-cantilever-beam method for the deflections of beams and frames is suggested.One of the supports of a simply supported beam of a frame can be turned into a fixed support with slope.Making use of deformation compatibility condition of the beam and the superposition method formulas for cantilever beams,the angle of the fixed support is calculated.The simply supported beam or the frame is turned into a cantilever beam or frame.Then,making use of the segment-by-segment deflection-effect superposition method,the slope and displacement at specific cross-section can be obtained.A reaction force of a statically indeterminate beam is calculated by application of the method.The slope and displacement at the roller support of a frame are obtained also.The virtual-cantilever-beam method is suitable for the calculations of the slopes and displacements of simply supported beams and frames.

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Key concepts: Cantilever, Conjugate beam method, Statically indeterminate, Beam (structure), Deflection (physics), Superposition principle, Structural engineering, Displacement (psychology)