Masters Theses

Abstract

"In this thesis, a technique has been developed to determine the natural frequencies of plane rigid frames with the consideration bending, shear deformation, rotatory inertia, and internal axial forces. The internal forces are functions of the instability load of the vibrating system for which the effects of bending and shear deformation on the stability of this structure are considered. For the sake of completeness, the matrix formulations for the dynamic or stability analysis of a rigid frame are given. The stiffness matrices of these formulations are then derived. The influence of shear deformation, rotatory inertia, and internal axial force is considered in the derivation of the differential equations and the dynamic stiffness coefficients. Likewise, the influence of shear deformation is included in deriving the stability stiffness coefficients. The numerical methods developed are used for a dynamic and stability analysis of a two story rigid frame with Timoshenko members"--Abstract, page ii.

Advisor(s)

Cheng, Franklin Y.

Committee Member(s)

Best, John, 1925-2015

Department(s)

Civil, Architectural and Environmental Engineering

Degree Name

M.S. in Civil Engineering

Publisher

University of Missouri--Rolla

Publication Date

1969

Pagination

viii, 102 pages

Note about bibliography

Includes bibliographical references (pages 67-68).

Rights

© 1969 Carlton Lee Smith, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Structural frames -- TestingDynamics, RigidShear (Mechanics) -- Mathematical models

Thesis Number

T 2296

Print OCLC #

5155280

Electronic OCLC #

833161245

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