Field Solutions for Shear Grids

by Donald L. Dean, (M.ASCE), Professor of Civil Engineer; North Carolina State Univ., Raleigh, NC,

Serial Information: Journal of the Structural Division, 1971, Vol. 97, Issue 12, Pg. 2845-2860

Document Type: Journal Paper


A double-layered grid in the form of a two-dimensional Vierendeel truss with stiff vertical members is analyzed for the case where member shortening effects are negligible. Field solutions are obtained in the form of double finite Fourier series which exactly satisfy the governing partial difference equations and boundary conditions for: (1) Foundation grids on spring supports; (2) building grids on four rigid supports; and (3) bridge grids with stiffened edges, each of which is free of forces on the exterior boundary. Each formula is numerically illustrated including a tabular presentation of six displacement fields for specific cases. The results comprise an extension of structural lattice theory to permit a closed analysis of the free edge case.

Subject Headings: Grid systems | Two-dimensional analysis | Bridge foundations | Layered systems | Trusses | Case studies | Fourier analysis | Boundary conditions

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