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The Colombian regulation of earthquake resistant construction NSR-10 establishes that the seismic-resistant capacity of a building must be classified according to three degrees of energy dissipation: Special energy dissipation, moderate energy dissipation and minimum energy dissipation. The dimensioning and detailing requirements for structural elements that are demanded according to each grade depend on the need to withstand earthquakes in the inelastic range according to the seismic hazard zone in which the structure is located. This work presents an analysis of the incidence of the requirements of each degree of energy dissipation on the costs of multi-storey building structures. For this, the structural analysis and design of four building configurations (2, 3, 4 and 5 floors) for each minimum energy dissipation, moderate energy dissipation, and special energy dissipation grade has been carried out and the quantities of work with their respective total cost have been determined. As a general conclusion, it can be stated that the cost of building a structure that has special energy dissipation capacity for a given building can be twice that of a structure that has minimum energy dissipation capacity for the same building. On the other hand, it was observed that in order to guarantee a rigidity comparable to that of the other models analyzed, the system of reinforced concrete portal resistant to moments for DES level requires large column dimensions in the case of buildings of four or more floors, which suggests that other types of more efficient elements should be used in the vertical seismic resistance system.

Modern architecture of civil engineering structures made of reinforced concrete is demanding solutions to problems related to design and construction of roofs shaped as creative forms which require an adequate combination of arts and physical-mathematical models. In that sense, the quadric and cylindrical surfaces offer an attractive based on their volumetric expression, historicity, and mathematical feasibility. In this work, seven cylindrical and quadric surfaces named elliptic cylinder, parabolic cylinder, elliptic cone, elliptic paraboloid, hyperbolic paraboloid, ellipsoid and hyperboloid of two sheets have been analysed to find out which of them show to be more efficient when used as reinforced concrete roof structures. To do so, the configuration of each structure hase been adjusted in terms of similar stiffness, strength parameters and enclosed volume. The structural efficiency was computed using the results of weight/load ratio, available strength, material consumption and relative stiffness. The solution of the model has been achieved using a combination of exact solutions and numerical methods. To compute the model results a Matlab® code was written and validated using the structural software SAP2000®. The best structural efficiency in terms of stiffness, strength, and materials consumption was obtained for roofs configurated using surfaces built from parabolas, i.e., elliptic paraboloid, hyperbolic paraboloid, and parabolic cylinder. The results of this work can be used in future studies and applications related to arhitectural comfort, structural behaviour and material consumption in construction of roofs.

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