Analysis of Plates Continuous Over Flexible Beams

Sutherland, J.G.; Goodman, L.E.; Newmark, N.M.

Permalink

https://hdl.handle.net/2142/13938 Copy

Description

Title

Analysis of Plates Continuous Over Flexible Beams

Author(s)

• Sutherland, J.G.
• Goodman, L.E.
• Newmark, N.M.

Issue Date

1953-01

Keyword(s)

• Ritz energy method
• Plates (Engineering)
• Plate deflection

Abstract

The Ritz energy method is used to obtain solutions for an interior panel of a plate or slab which is continuous over a rectangular grid of flexible beams supported by columns at their intersections. It is assumed that the plate is uniformly loaded over its whole area, and that parallel beams are of equal stiffness and are spaced regularly. The plate deflection is represented by an infinite series of polynomial functions derived by W. J. Duncan for beams clamped at both ends; these functions lead to relatively accurate results with a reasonable amount of numerical work. Deflections, moments and average moments for cases covering a wide range of beam-plate rigidities and width-length ratios are presented in tabular and graphical form.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-042

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/13938

Sponsor(s)/Grant Number(s)

• Office of Naval Research. Department of the Navy.
• Contract N6ori-71, Task Order VI, Project NR-064-183

Owning Collections