TECHNICAL PAPERS
Feb 1, 1997
Proof of Tienstra's Formula by Finite-Element Method
Authors: W. C. Hu and J. S. Kuang, Member, ASCEAuthor Affiliations
Publication: Journal of Surveying Engineering
Volume 123, Issue 1
Abstract
Tienstra's formula is proven with a familiar idea, namely, natural coordinates in the finite-element method are the starting points. The proof is completed by an interesting application of modern computing technology—symbolic computation. This proof is a beautiful fusion of elements from surveying, structural analysis, and symbolic computation. Compared to the old proof found in the literature, this new one should be more readable and interesting to students, engineers, and researchers in civil engineering, especially those who have been exposed to the finite-element method.
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References
1.
Allan, A., Hollwey, J., and Maynes, J. (1968). Practical field surveying and computations. Elsevier Science Publishing Co., Inc., New York, N.Y.
2.
Bannister, A., and Baker, R. (1989). Solving problems in surveying. Longman's, London.
3.
Bannister, A., and Raymond, S. (1992). Surveying, 6th Ed., Longman's, London.
4.
Redfern, D. (1993). The Maple Handbook. Springer-Verlag New York, Inc., New York, N.Y.
5.
Zienkiewicz, O., and Taylor, R. (1989). The finite element method, Vol. 1. McGraw-Hill Book Co., Inc., New York, N.Y.
Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 123 • Issue 1 • February 1997
Pages: 1 - 10
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Feb 1, 1997
Published in print: Feb 1997
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Authors
Affiliations
W. C. Hu
Dept. of Civ. and Struct. Engrg., Hong Kong Univ. of Sci. and Technol., Clear Water Bay, Kowloon, Hong Kong.
J. S. Kuang, Member, ASCE
Dept. of Civ. and Struct. Engrg., Hong Kong Univ. of Sci. and Technol., Clear Water Bay, Kowloon, Hong Kong.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.