Research Article
Nov 1980
Trilateration Adjustment by Finite Elements
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VIEW THE REPLYPublication: Journal of the Surveying and Mapping Division
Volume 106, Issue 1
Abstract
The finite element method is used in adjusting trilateration nets. The principle is to consider the trilateration net with distances and points as a structural framework with members and nodes. The framework must be supported for structural stability according to the nature of the problem. Redundant elements are removed and initial coordinates are calculated for the nodes. Misfits are obtained as differences between measured and calculated lengths from the initial coordinates. Stiffnesses of the members are the same as the weights of the corresponding distances. All this information is introduced as input in the computer program FINITE. The output yields the displacements of the nodes in the directions of the axes of the coordinate system. It also prints out the final forces in the members. The nodal displacements are the corrections in the northings and eastings of the net points. The forces in the members divided by the corresponding weights give the corrections in the lengths of the distances.
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Published In
Journal of the Surveying and Mapping Division
Volume 106 • Issue 1 • November 1980
Pages: 73 - 93
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Nov 1980
Published online: Feb 12, 2021
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Authors
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Naguib F. Danial, M.ASCE
Prof. of Civ. Engrg., Univ. of Petroleum and Minerals, Dhahran, Saudi Arabia
Theodor Krauthammer
Visiting Asst. Prof., Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
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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.