AB
A.J.D. Baudoin
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The Macaulay method is an integration method used to calculate the force distribution and deformations of a structure similar to the conventional integration method. However, where the conventional integration method requires a new equation for each discontinuity along the beam, the Macaulay method only requires one equation. Because of this less solution conditions are needed. Up until now, the Macaulay method was only applicable for one-dimensional structures. In this report the Macaulay method will be extended such that it is also applicable on kinked, branched and enclosed two-dimensional structures, including statically indetermined structures and trusses.
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The Macaulay method is an integration method used to calculate the force distribution and deformations of a structure similar to the conventional integration method. However, where the conventional integration method requires a new equation for each discontinuity along the beam, the Macaulay method only requires one equation. Because of this less solution conditions are needed. Up until now, the Macaulay method was only applicable for one-dimensional structures. In this report the Macaulay method will be extended such that it is also applicable on kinked, branched and enclosed two-dimensional structures, including statically indetermined structures and trusses.