A second order beam theory |
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| Authors: | NG Stephen M Levinson |
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| Institution: | 1. Department of Civil Engineering and Engineering Mechanics, McMaster University, Hamilton, Ontario, Canada L8S 4L7;2. Now at the Department of Mechanical, Production and Chemical Engineering, Manchester Polytechnic, Manchester M1 5GD, England |
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| Abstract: | A second order beam theory which takes into account shear curvature, transverse direct stresses and rotatory inertia is presented. The governing differential equation is similar in form to the Timoshenko beam equation but contains two coefficients, one of which depends on cross-sectional warping just as does Cowper's expression while the second, although similar in form, also includes terms dependent on the transverse direct stresses. Comparison is made with exact and other approximate theories for particular cases. |
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