test example

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Earthquake resistant design Example problems November, 2016 Student………………..………..………….. 1) The frame in the figure has an axially rigid slab; the total load is 20 kN/m. Columns are formed with steel profiles HEB220 (with maximum moment of inertia Imax = 8091 cm4). - Compute the period, modeling the structure as a single degree of freedom system (SDOF) ; - Compute the total horizontal force and the horizontal displacement of the slab for the given response spectrum. (The spectrum is a horizontal spectrum in terms of adimensional acceleration (g units)). 2) Compute the statically equivalent horizontal forces for the reinforced concrete frame in the figure, with reference to the spectrum above, considered as design spectrum; compute the force at each storey sketching the force profile, the base shear, and the base moment. The total load at each storey is 20 kN/m. 3) For a multistorey frame, in 2D, the modal shapes have been computed. Say what modal shape is outlined in the figure and associate to it a possible participating mass from the following lists: Participating mass: [72%, 17%; 6%] 3,5 m 3,5 m 3,5 m 4,0 m 5 m 6m 3,5 m 6 m 2 m 0.5 0.2 Sa (g) 0.1 0.3 0.1 1.2 2 m 0.5 Tc/T