Shear deformable bending solutions for nonuniform beams and plates with elastic end restraints from classical solutions |
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Authors: | C M Wang C C Chen S Kitipornchai |
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Institution: | (1) Department of Civil Engineering, The National University of Singapore, Singapore 119260, SG;(2) Department of civil Engineering, The University of Queensland, St. Lucia, Brisbane, Queensland 4072, Australia, AU |
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Abstract: | Summary The relationships of bending solutions between Timoshenko beams and Euler-Bernoulli beams are derived for uniform and non-uniform
beams with elastic rotationally restrained ends. Extensions of these relationships for the cylindrical bending of Mindlin
and Kirchhoff plates and for the bending of symmetrically laminated beams are also discussed. The new set of general relationships
is useful because the more complex Timoshenko beam and Mindlin plate solutions may be readily obtained from their simpler
Euler-Bernoulli beam and Kirchhoff plate solutions respectively, without much tedious mathematics.
Received 16 March 1997; accepted for publication 26 November 1997 |
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Keywords: | beams plates rotationally elastic restraints shear deformable bending exact solution |
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