Document Type

Thesis - Open Access

Award Date

1966

Degree Name

Master of Science (MS)

Department

Civil Engineering

Abstract

The study presented in this report is restricted to the investigation of the errors involved in computing flexibility and stiffness factors by approximate numerical techniques for various numbers of subdivisions of some typical structural shapes. The beams were (a) uniform EI, (b) nonuniform EI with rectangular cross-sections, and (c) I-beam cross-sections from an actual structure. The I-beam represents on span of the Big Sioux River Bridge crossing of Interstate 29 in Moody County, South Dakota, which is to be constructed in 1966. The methods in this report are (1) Newmark’s technique, (2) conjugate beam method, (3) finite difference solution of beam differential equation, and (4) correction to finite difference solution of beam differential equation, and (4) correction to finite difference solution of beam differential equation. Methods are compared graphically by plotting percentage of error versus number of divisions in the numerical technique for each method and by plotting percentage of error versus computation effort for each method. (see more in text)

Library of Congress Subject Headings

Difference equations
Girders

Format

application/pdf

Publisher

South Dakota State University

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