Technical Notes
May 17, 2013

Closed-Form Solution for a Cantilevered Sectorial Plate Subjected to a Tip Bending Moment

Publication: Journal of Engineering Mechanics
Volume 140, Issue 3

Abstract

A closed-form solution is presented for a cantilevered sectorial plate subjected to a tip bending moment. Deflections from this solution are compared with those from a finite-element analysis and are found to be in excellent agreement. Closed-form normalized deflections and slopes at the fixed support resulting from an approximate enforcement of the boundary conditions there deviated from zero by less than 0.04%.

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References

ANSYS 11.1 [Computer software]. Canonsburg, PA, Ansys.
Carrier, G. F., and Shaw, F. S. (1950). “Some problems in the bending of thin plates.” Proc., 3rd Symp. in Applied Mathematics, American Mathematical Society, Providence, RI, 125–128.
Kennedy, B. T., Weggel, D. C., Boyajian, D. M., and Smelser, R. E. (2008). “Closed-form solution for a cantilevered sectorial plate subjected to a twisting tip moment.” Mech. Res. Commun., 35(8), 491–496.
Nadai, A. (1925). Die elastischen platten, Springer, Berlin, 202–204.
Timoshenko, S., and Goodier, J. N. (1951). Theory of elasticity, 2nd Ed., McGraw Hill, New York.
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Vinson, J. R. (1974). Structural mechanics: The behavior of plates and shells, Wiley, New York.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 3March 2014
Pages: 640 - 643

History

Received: Oct 8, 2012
Accepted: May 15, 2013
Published online: May 17, 2013
Published in print: Mar 1, 2014

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Authors

Affiliations

Carl W. Christy [email protected]
Structural Engineer, URS Nuclear Center, 3023 HSBC Way, Fort Mill, SC 29715. E-mail: [email protected]
David C. Weggel, A.M.ASCE [email protected]
P.E.
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of North Carolina, Charlotte, NC 28223 (corresponding author). E-mail: [email protected]
R. E. Smelser [email protected]
P.E.
Professor and Senior Associate Dean, William States Lee College of Engineering, Univ. of North Carolina, Charlotte, NC 28223. E-mail: [email protected]
Benjamin T. Kennedy [email protected]
P.E.
Civil/Structural Engineer II, AREVA NP, Inc., 7207 IBM Dr., Charlotte, NC 28262. E-mail: [email protected]

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