Seismic Risk Mitigation for a Portfolio of Reinforced Concrete Frame Buildings through Optimal Allocation of a Limited Budget

Table 1

Deterministic data and random variables assumed for sampling of buildings.

Geometry^1 (deterministic data)

Structural details and materials (random variables)

(i) Number of storeys, nh; (ii) Total height of the building, h; (iii) Effective width of the frame^2,; (iv) Number of frame bays^3, nl; (v) Bay length of the frame^4, l

(i) Column section width, bc; (ii) Column section height, hc; (iii) Stirrup diameter in the column section, dcs; (iv) Shear spacing of stirrups in the column section, Scs; (v) Number of column longitudinal rebars, nc; (vi) Diameter of column longitudinal rebars, dcl; (vii) Beam section height, hb; (viii) Number of beam longitudinal rebars, nbb; (ix) Diameter of beam longitudinal rebars, dbl; (x) Concrete compressive strength, fcd; (xi) Yield strength of the steel rebar, fyd

¹Variables , n_l, and l have to be determined for each of the two main horizontal orthogonal directions of the structure. ²The mean distance between consecutive parallel 2D frames in the considered direction. ³The number of bays for the generic 2D frame in the considered direction. ⁴The mean length of the bays for the considered frame.