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Aceleracin̤ espectral Anl̀isis espectral Anl̀isis modal Building Cimentaciones Construccin̤ Dinm̀ica de estructuras Diseǫ p̤timo; Zapatas rectangulares de concreto reforzado; Diseǫ de costo mn̕imo; Momentos; Cortante por flexin̤; Cortante por punzonamiento Diseǫ sismo resistente Earthquake resistant design Ecuaciones Eigenvalues and eigenvectors Equations Factor de participacin̤ modal Foundations Influence matrix; Modal analysis; Spectral analysis; Characteristic values and vectors; Factor of modal participation; Spectral acceleration and vector of normal coordinates principles Instalaciones de tubera̕s Matriz de influencia; Anl̀isis modal; Anl̀isis espectral; Valores y vectores caracters̕ticos; Factor de participacin̤ modal; Aceleracin̤ espectral y vector de coordenadas normales mx̀imas.<U+0009> Maximum normal coordinate vector Modal analysis Modal participation factor Optimal design; Reinforced concrete rectangular footings; Minimum cost design; Moments; Bending shear; Punching shear Pipe fitting Piping Seismicity Sismicidad Spectral acceleration Spectral analysis Spectrum analysis Structural dynamics