Research Article
Jan 1935
Stresses in Space Structures
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 100, Issue 1
Abstract
The analysis of any but the simplest space structures is usually a tedious operation because of the three-dimensional nature of the problem. In the method herein presented most of these difficulties are avoided by substituting for the forces and stresses of the three-dimensional structure, a corresponding system of co-planar forces, the magnitudes of which may then be found by any of the well-known, simple processes ordinarily applied to the solution of planar structures. These co -planar forces, in turn, are readily translated back into the corresponding space stresses by dividing them by the cosine of the slope of the space member.
The method was originated by Professor Benjamin Mayor, of the University of Lausanne, at Lausanne, Switzerland, but his presentation is based on the principles of the linear complex, a mathematical field little known to engineers and extremely difficult to follow. In this paper the writer has avoided the use of the complex and has based the theory on well-known principles of mechanics.
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Published In
Transactions of the American Society of Civil Engineers
Volume 100 • Issue 1 • January 1935
Pages: 928 - 934
Copyright
© 1935 American Society of Civil Engineers.
History
Published in print: Jan 1935
Published online: Feb 10, 2021
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Authors
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F. H. Constant, M.ASCE
Prof. of Civ. Eng., Princeton Univ., Princeton, N. J.
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