Title page for ETD etd-11092012-040048
|Type of Document
||Weidman, Deene J.
||Effects of shear deformations on the vibrational frequencies of wide-flanged structures
||Master of Science
|thesis, none found in
|Date of Defense
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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