YIELD-LINE ELEMENTS - FOR ELASTIC BENDING OF PLATES AND SLABS

被引:6
|
作者
GOHNERT, M
KEMP, AR
机构
关键词
FINITE ELEMENT; PLATES; SLABS; YIELD-LINE ANALYSIS; YIELD-LINE ELEMENTS;
D O I
10.1016/0141-0296(95)92639-P
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
A new four-node rectangular element is proposed for the elastic analysis of plates in bending. This element has been formulated in view of the complex nature of existing nonlinear theory. The elastic theory developed in this paper has been derived in a form that allows a natural progression to plastic theory. The proposed method is mixed in the sense that moments and out of plane deflections are chosen as the unknowns. The solution matrix is developed from flexibility and equilibrium equations. Flexibility equations (expressing the relationship between the rotations and nodal moments) assume a partial quadratic moment field and are equated to obtain interelement compatibility. Equilibrium equations are formulated from virtual work expressions used in yieldline theory that are modified to include the twisting moment. For one-way plate action (single curvature), the solution is exact irrespective of the aspect ratio or the number of elements. For two-way action (double curvature), acceptable accuracy is achieved. Comparisons with exact solutions and the displacement method are included to indicate the accuracy of the proposed element.
引用
收藏
页码:87 / 94
页数:8
相关论文
共 49 条
  • [31] Yield Line Analysis of Reinforced Concrete Slabs with Openings by Dip and Strike Angles Method
    Kwan, A. K. H.
    Lam, J. Y. K.
    Ng, P. L.
    ADVANCES IN STRUCTURAL ENGINEERING, 2013, 16 (07) : 1223 - 1233
  • [32] Yield Line Analysis and Testing of Reinforced Concrete Rectangular Slabs with Primary and Secondary Beams
    Balakrishnan, Bijily
    Menon, Devdas
    ACI STRUCTURAL JOURNAL, 2019, 116 (05) : 187 - 200
  • [33] Trabecular plates and rods determine elastic modulus and yield strength of human trabecular bone
    Wang, Ji
    Zhou, Bin
    Liu, X. Sherry
    Fields, Aaron J.
    Sanyal, Arnav
    Shi, Xiutao
    Adams, Mark
    Keaveny, Tony M.
    Guo, X. Edward
    BONE, 2015, 72 : 71 - 80
  • [34] Design of steel transmission pole base plates using yield line method
    Khedr, Mohamed A.
    JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH, 2022, 199
  • [35] Damage-coupled progressive failure and yield line analyses of metal plates
    Thakkar, BK
    Pandey, PC
    JOURNAL OF ENGINEERING MECHANICS, 2006, 132 (05) : 487 - 497
  • [36] Shear deformable bending solutions for nonuniform beams and plates with elastic end restraints from classical solutions
    C. M. Wang
    C. C. Chen
    S. Kitipornchai
    Archive of Applied Mechanics, 1998, 68 : 323 - 333
  • [37] Shear deformable bending solutions for nonuniform beams and plates with elastic end restraints from classical solutions
    Wang, CM
    Chen, CC
    Kitipornchai, S
    ARCHIVE OF APPLIED MECHANICS, 1998, 68 (05) : 323 - 333
  • [38] Free vibration studies of functionally graded magneto-electro-elastic plates/shells by using solid-shell elements
    Zheng Shijie
    Fen Yan
    Wang Hongtao
    JOURNAL OF VIBROENGINEERING, 2012, 14 (04) : 1787 - 1796
  • [39] Adaptive analysis of yield line patterns in plates with the arbitrary Lagrangian-Eulerian method
    Askes, H
    Rodríguez-Ferran, A
    Huerta, A
    COMPUTERS & STRUCTURES, 1999, 70 (03) : 257 - 271
  • [40] An exact Peano Series solution for bending analysis of imperfect layered functionally graded neutral magneto-electro-elastic plates resting on elastic foundations
    Lezgy-Nazargah, M.
    Cheraghi, N.
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2017, 24 (03) : 183 - 199