Type of Document	Master's Thesis
Author	Weidman, Deene J.
URN	etd-11092012-040048
Title	Effects of shear deformations on the vibrational frequencies of wide-flanged structures
Degree	Master of Science
Department	Engineering Mechanics
Advisory Committee	Advisor Name Title thesis, none found in Committee Chair
Keywords	Deformations (Mechanics)
Date of Defense	1961-03-05
Availability	restricted
Abstract The well-known Timoshenko beam equations (which include transverse shear deformation and rotary inertia effects) are extended for a wide-flanged structure to include the additional shear lag deformation of the flanges; thus, cross-sections of the beam are allowed to distort instead of remaining plane sections. The effect of relative flange bending (bending of the flanges relative to the web) is also included and the integro—differentia1 equations appropriate to the problem are derived. The frequency equation is given in closed form (neglecting the relative flange bending) and solutions for various values of the nondimensional parameters are given. A reduction of the elementary frequency by as much es ao percent in the first mode is shown.
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