手法を比較

	プラスチックヒンジ解析	有限要素解析	鉄筋コンクリートスラブの塑性解析における終局線理論
分野	土木工学	材料科学	土木工学
系統	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1914–1950s (Kazinczy 1914; Baker et al. 1956)	1943	1943 (doctoral thesis, Danish); 1962 (English translation)
提唱者	Multiple contributors (Kazinczy, Kist, Baker, Horne, Neal)	Richard Courant	K. W. Johansen
種類	Structural analysis method	Computational method	Structural analysis method (plasticity-based)
原典	Chen, W. F., & Sohal, A. S. (1995). Plastic Design and Second-Order Analysis of Steel Frames. Springer. ISBN: 978-0387944319	Zienkiewicz, O. C., & Taylor, R. L. (1977). The Finite Element Method in Engineering Science. McGraw-Hill.	Johansen, K. W. (1962). Yield-Line Theory. Cement and Concrete Association, London.
別名	plastic hinge method, plastic collapse analysis, limit state plastic analysis, yield hinge analysis	FEA, finite element method	yield-line analysis, yield-line method, Johansen yield-line method, plastic slab analysis
関連	3	4	1
概要	Plastic hinge analysis is a structural engineering method that determines the load-carrying capacity of a structure by tracking the sequential formation of plastic hinges — localised zones where a cross-section has fully yielded — until a kinematic collapse mechanism is formed. Rooted in plastic theory, it provides a more economical and realistic estimate of ultimate structural capacity than purely elastic approaches, and is widely used in the design and assessment of steel frames, reinforced concrete beams, and other ductile structural systems.	Finite Element Analysis (FEA) is a numerical technique for obtaining approximate solutions to boundary value problems described by differential equations. Developed systematically by Richard Courant in 1943 and popularized by Clough in the 1960s, FEA divides a complex domain into smaller, simpler elements to solve engineering problems involving stress, strain, heat transfer, and fluid flow. It is the dominant computational method in materials science for predicting material behavior under various loading conditions.	Yield Line Theory is a plastic limit-analysis method used in structural civil engineering to determine the ultimate load-carrying capacity of reinforced concrete slabs. Developed by K. W. Johansen in the 1940s, it assumes that at failure the slab subdivides into rigid regions separated by lines of intense plastic rotation — called yield lines — where the reinforcement has fully yielded. The approach gives the collapse load directly and is widely used in slab design and assessment.