Collapse load analysis of yield-line elements

• Published in: Engineering structures Vol. 22; no. 8; pp. 1048 - 1054
• Main Author: Gohnert, Mitchell
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01-08-2000; Elsevier
• Subjects: Applied sciences; Buildings. Public works; collapse; Collapse load; Computation methods. Tables. Charts; Exact sciences and technology; Finite elements; loading; Reinforced concrete; Slabs; Structural analysis. Stresses; yield-line elements; Finite elements; yield-line elements; Slabs; Reinforced concrete; Collapse load; Collapse; Finite element method; Structural design; Yield criterion; Yield line method; Equation; Numerical simulation
• ISSN: 0141-0296; 1873-7323
• DOI: 10.1016/S0141-0296(99)00012-7

Yield-line elements are a new type of finite element formulated for the analysis of slabs in bending. Both the elastic and inelastic theories have been developed. However, this paper only describes the inelastic theory used to determine the collapse load of a slab. The theory proposed is an overshoot–return method which is both simple and stable. Yield-lines and plastic rotations are modelled by increasing the flexibility terms of the element. Johansen and Kemp's yield criterion is also adapted to permit an analysis of both isotropic and orthotropic reinforcement. The element is verified by comparison tests with experimentation and Johansen's yield-line analysis which indicate that the theory is accurate and a viable design tool.