Nonlinear Beam and Plate Elements

by Jimmy H. Smith, Asst. Prof. of Civ. Engrg.; Texas Tech. Univ., Lubbock, TX; formerly, Res. Assoc. Engr., Eric H. Wang Civ. Engrg. Res. Facility, Univ. of New Mexico, Albuquerque, NM,

Serial Information: Journal of the Structural Division, 1972, Vol. 98, Issue 3, Pg. 553-568

Document Type: Journal Paper

Abstract: A direct stiffness method for analyzing structural plates which possess nonlinear material properties is developed to predict the ultimate load of certain plates subjected to lateral loading. Because of the mathematical complexity of the problem, a numerical technique is suggested whereby the continuous plate is replaced by interconnected beam elements whose physical properties are determined by forcing the moment-rotation behavior to be identical with that of the plate. This technique yields a model that assumes concentrated plasticity and distributed elasticity. The success of the beam model is made possible by approaching the problem from a differential point of view and using a three-parameter moment-rotation equation. The solutions are then obtained using a fourth-order Runge-Kutta integration technique.

Subject Headings: Plates | Material properties | Lateral loads | Beams | Structural behavior | Ultimate loads | Load factors | Moment (mechanics) |

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