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TECHNICAL PAPERS

On Timoshenko Beams of Rectangular Cross-Section

[+] Author and Article Information
James R. Hutchinson

Department of Civil and Environmental Engineering, University of California, Davis, CA 95616

J. Appl. Mech 71(3), 359-367 (Jun 22, 2004) (9 pages) doi:10.1115/1.1751186 History: Received August 06, 2002; Revised August 06, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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References

Figures

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Coordinates and dimensions for the beam
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Shear coefficient reciprocal versus width-to-depth ratio. –S-H coefficient. [[dashed_line]]Coefficients which match three-dimensional solutions for length-to-depth ratios of 1, 10, 20, and 40. For a simply supported beam.
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Frequency versus width-to-depth ratio, for a length-to-depth ratio of 10 and Poisson’s ratio of 0.3, for the five solution methods considered. For a simply supported beam.
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Frequency versus width-to-depth ratio, for a length-to-depth ratio of 20 and Poisson’s ratio of 0.3, for the five solution methods considered. For a simply supported beam.
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Frequency versus width-to-depth ratio, for a length-to-depth ratio of 40 and Poisson’s ratio of 0.3, for the five solution methods considered. For a simply supported beam.
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Displacement versus x at y=z=0, for a length-to-depth ratio of 10 and width-to-depth ratio of 2. For a simply supported beam.
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Displacement versus x at y=z=0, for a length-to-depth ratio of 10 and width-to-depth ratio of 10. For a simply supported beam.
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Twisting moment Myx versus x at y=L/2,z=0 and bending moment Mx versus x at y=z=0, for a length-to-depth ratio of 10 and width-to-depth ratio of 2. For a simply supported beam.
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Twisting moment Myx versus x at y=L/2,z=0 and bending moment Mx versus x at y=z=0, for a length-to-depth ratio of 10 and width-to-depth ratio of 10. For a simply supported beam.
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Shear coefficient reciprocal versus width-to-depth ratio. –S-H coefficient. [[dashed_line]]Coefficients which match Mindlin plate solutions for the first mode for length-to-depth ratios 10, 20, and 40. For a free-free beam.
Grahic Jump Location
Shear coefficient reciprocal versus width-to-depth ratio. –S-H coefficient. [[dashed_line]]Coefficients which match Mindlin plate solutions for the second mode for length-to-depth ratios 10, 20, and 40. For a free-free beam.
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First mode frequency versus width-to-depth ratio, for a length-to-depth ratio of 10, for the four solutions considered. For a free-free beam.
Grahic Jump Location
First mode frequency versus width-to-depth ratio, for a length-to-depth ratio of 20, for the four solutions considered. For a free-free beam.
Grahic Jump Location
First mode frequency versus width-to-depth ratio, for a length-to-depth ratio of 40, for the four solutions considered. For a free-free beam.
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Second mode frequency versus width-to-depth ratio, for a length-to-depth ratio of 20, for the four solutions considered. For a free-free beam.

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