Lamella Beams and Grids

by Donald L. Dean,


Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 2, Pg. 107-130


Document Type: Journal Paper

Abstract: Lamella construction is defined and briefly examined. The governing ordinary difference equation for lamella beams is derived and solved for the regular system with general loading. Two types of joint imperfections are taken into account, and the results are compared with those for a common beam. Through use of an artificial vector to represent scaler node quantities, the governing vector partial difference equation is derived for flat lamella grids. The vector equation is converted to scaler form by the stress function approach, and solutions are found for uniform node loads and for an arbitrarily located unit load. Solutions are in the form of single and double finite Fourier series. Force formulas are given for various boundary conditions along modified rectangular, skewed, and triangular boundary shapes. Displacement kernel formulas are derived for the hinged rectangular boundary and are numerically illustrated.

Subject Headings: Beams | Load factors | Vector analysis | Grid systems | Domain boundary | Construction management | Joints | Arbitration

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