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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.
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.
Stresses in Space Structures
Constant, F. H. (author)
Transactions of the American Society of Civil Engineers ; 100 ; 928-934
2021-01-01
71935-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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