Abstract
Buildings as well as other structures may be idealized as an assembly of elements connected at joints or nodal points. These elements can be unidirectional such as beams or rod elements, two dimensional like plates and shell elements, and three dimensional such as solid elements. The structure may be modeled as a shear building when the horizontal diaphragms at the floor levels of a multistory building are assumed to be rigid. In such a model, it is assumed that: (1) the total mass of the structure is concentrated at the levels of the floors, (2) the horizontal diaphragms at the floor levels are plane rigid, and (3) the deformation of the structure is independent of the axial force present in the columns. These assumptions transform the problem from a system with an infinite number of degrees of freedom (due to the distributed mass) to a system that has only as many degrees of freedom as it has lumped masses at the floor levels.
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Paz, M. (1994). Structures Modeled as Multidegree-of-Freedom Systems. In: Paz, M. (eds) International Handbook of Earthquake Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2069-6_4
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DOI: https://doi.org/10.1007/978-1-4615-2069-6_4
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