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A specialized geometric technique for analyzing fixed-ended arches, closed rings, and single-span rigid frames with varying moments of inertia. It draws a mathematical analogy between the stresses produced by an eccentric load on a short column and the bending moments induced in a frame structure. Directly Comparing Classical Methods Analysis Method Primary Unknowns Best Used For Computational Complexity Redundant Forces Low-degree indeterminate systems High for complex structures Slope-Deflection Joint Displacements Small frames and continuous beams Moderate simultaneous equations Moment Distribution Bending Moments Complex continuous beams and frames Low (Iterative manual technique) Column Analogy Internal Redundants Single-span arches and closed loops Low (Purely geometric) Sourcing Portable PDF Formats of Dr. Wang’s Book Safely Avoid sharing or downloading from unauthorized sources
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The book remains under copyright protection. Therefore, only officially licensed digital copies are legal. Unauthorized copies shared on file-sharing or document-hosting sites should be avoided, as they represent copyright infringement. Specifically used for continuous beams
Specifically used for continuous beams, this method relates the internal moments at three consecutive supports. Slope-Deflection Method:
: The book covers fundamental methods including Moment Distribution , Force Method (Consistent Deformation) , and Slope-Deflection , which are essential for analyzing continuous beams, frames, and trusses. Force Method (Consistent Deformation)
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A powerful iterative technique (often called the Hardy Cross method) designed for solving continuous beams and frames.