Title page for ETD etd-11092012-040048

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
  • Deformations (Mechanics)
Date of Defense 1961-03-05
Availability restricted

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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