"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.
Cheng, Franklin Y.
Best, John, 1925-2015
Civil, Architectural and Environmental Engineering
M.S. in Civil Engineering
University of Missouri--Rolla
viii, 102 pages
© 1969 Carlton Lee Smith, All rights reserved.
Thesis - Open Access
Structural frames -- Testing
Shear (Mechanics) -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Smith, Carlton Lee, "Static and dynamic instability analysis of rigid frames with Timoshenko members" (1969). Masters Theses. 6968.