Erratum for “On the Flexural Analysis of Sandwich and Composite Arches through an Isoparametric Higher-Order Model” by Sudhakar R. Marur and Tarun Kant

Marur, Sudhakar R.; Kant, Tarun

doi:10.1061/(ASCE)EM.1943-7889.0000305

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ERRATA

Nov 15, 2011

Erratum for “On the Flexural Analysis of Sandwich and Composite Arches through an Isoparametric Higher-Order Model” by Sudhakar R. Marur and Tarun Kant

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Authors: Sudhakar R. Marur and Tarun KantAuthor Affiliations

Publication: Journal of Engineering Mechanics

Volume 137, Issue 12

https://doi.org/10.1061/(ASCE)EM.1943-7889.0000305

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The following are the correct terms of

D

matrices used both in the formulation and computations in the original paper. Because these four matrices, Eqs. (70) - (73), appeared with erroneous numerical coefficients in the print article, the correct version is presented in this erratum.

Appendix III. Coefficients of D-Matrix

D_{a t} = b \int Z_{a} C_{12} Z_{t}^{t} d z = b \sum_{l = 1}^{N L} C_{12} [\begin{matrix} H_{1} - \frac{1}{R} H_{2} + \frac{1}{R^{2}} H_{3} - \frac{1}{R^{3}} H_{4} & H_{2} - \frac{1}{R} H_{3} + \frac{1}{R^{2}} H_{4} - \frac{1}{R^{3}} H_{5} \\ H_{3} - \frac{1}{R} H_{4} + \frac{1}{R^{2}} H_{5} - \frac{1}{R^{3}} H_{6} & H_{4} - \frac{1}{R} H_{5} + \frac{1}{R^{2}} H_{6} - \frac{1}{R^{3}} H_{7} \end{matrix}]

(70)

D_{b t} = b \int Z_{b} C_{12} Z_{t}^{t} d z = b \sum_{l = 1}^{N L} C_{12} [\begin{matrix} H_{2} - \frac{1}{R} H_{3} + \frac{1}{R^{2}} H_{4} - \frac{1}{R^{3}} H_{5} & H_{3} - \frac{1}{R} H_{4} + \frac{1}{R^{2}} H_{5} - \frac{1}{R^{3}} H_{6} \\ H_{4} - \frac{1}{R} H_{5} + \frac{1}{R^{2}} H_{6} - \frac{1}{R^{3}} H_{7} & H_{5} - \frac{1}{R} H_{6} + \frac{1}{R^{2}} H_{7} - \frac{1}{R^{3}} H_{8} \end{matrix}]

(71)

D_{t a} = b \int Z_{t} C_{21} Z_{a}^{t} d z = b \sum_{l = 1}^{N L} C_{21} [\begin{matrix} H_{1} - \frac{1}{R} H_{2} + \frac{1}{R^{2}} H_{3} - \frac{1}{R^{3}} H_{4} & H_{3} - \frac{1}{R} H_{4} + \frac{1}{R^{2}} H_{5} - \frac{1}{R^{3}} H_{6} \\ H_{2} - \frac{1}{R} H_{3} + \frac{1}{R^{2}} H_{4} - \frac{1}{R^{3}} H_{5} & H_{4} - \frac{1}{R} H_{5} + \frac{1}{R^{2}} H_{6} - \frac{1}{R^{3}} H_{7} \end{matrix}]

(72)

D_{t b} = b \int Z_{t} C_{21} Z_{b}^{t} d z = b \sum_{l = 1}^{N L} C_{21} [\begin{matrix} H_{2} - \frac{1}{R} H_{3} + \frac{1}{R^{2}} H_{4} - \frac{1}{R^{3}} H_{5} & H_{4} - \frac{1}{R} H_{5} + \frac{1}{R^{2}} H_{6} - \frac{1}{R^{3}} H_{7} \\ H_{3} - \frac{1}{R} H_{4} + \frac{1}{R^{2}} H_{5} - \frac{1}{R^{3}} H_{6} & H_{5} - \frac{1}{R} H_{6} + \frac{1}{R^{2}} H_{7} - \frac{1}{R^{3}} H_{8} \end{matrix}]

(73)

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Journal of Engineering Mechanics

Volume 137 • Issue 12 • December 2011

Pages: 931

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Received: Apr 4, 2011

Accepted: Jul 26, 2011

Published online: Nov 15, 2011

Published in print: Dec 1, 2011

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Sudhakar R. Marur

CSS Foundation, 313, A4 Wing, Cauvery Block, NGH Complex, Koramangala, Bangalore-560047, India (corresponding author). E-mail: [email protected]

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Tarun Kant

Dept. of Civil Engineering, Indian Inst. of Technology, Powai, Mumbai-400076, India. E-mail: [email protected]

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Erratum for “On the Flexural Analysis of Sandwich and Composite Arches through an Isoparametric Higher-Order Model” by Sudhakar R. Marur and Tarun Kant

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Appendix III. Coefficients of D-Matrix

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