Inelastic Deflections of Beams

by Alexander Chajes,

Serial Information: Journal of the Structural Division, 1968, Vol. 94, Issue 6, Pg. 1549-1566

Document Type: Journal Paper


Design techniques for determining inelastic deflections of beams made from gradual-yielding materials are investigated. New as well as existing methods are presented and evaluated. Factors such as accuracy, limitations in applicability, and amount of numerical work required to obtain solutions are considered. Two methods are shown to be especially well suited for routine engineering design. The small amount of numerical work involved in these methods stems from the fact that an explicit moment-curvature relationship exists. Deflections obtained by these methods are shown to be in excellent agreement with accurate solutions obtained by numerical integration procedures. The good agreement between exact and approximate solutions is shown to be valid for various cross-sectional shapes, loading conditions and stress-strain curves.

Subject Headings: Numerical methods | Beams | Displacement (mechanics) | Agreements and treaties | Curvature | Inelasticity | Cross sections | Load factors

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