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Engineering, 18.06.2020 02:57 martdrea13

In the seismic design of buildings, dynamic forces induced by earthquakes are often converted to equivalent static forces applied as lateral loads at each floor level following an inerted triangular distribution along the height of the buildings. These lateral forces are supported by a seismic (lateral) force resisting system consisting of braced frames in each direction. These frames need to satisfy strength requirements as well as drift limits. In modeling the braced frame, the beam and column members are modeled as Becan Elements, whereas the braces are considered as hinged at both ends and thus modeled as Truss Elements. Analyze the given braced frame with Matlab programs. Use &N and mom as the basic units). a) Given a lateral force P=300 kN at the roof level (note that the lateral forces at the lower levels follows an inverted triangular distribution), determine the horizontal displacements at each floor level and the reactions at the base of the columns. Draw a sketch of structure to show the axial forces of all structural members (braces, beams, and columns). Draw the moment diagram of the beat and column elements on a separate sketch. b) Determine the value of the roof level lateral load P that would allow the braced frame to achieve its roof drift limit of 1%. The roof drift is defined as the horizontal displacement of the roof divided by the total building height c) Repeat part (a) by rennwing all diagonal braces from the structure. Compare the floor displacement distribution at all levels with the results given in part (a) and deteroude how much does the roof horizonlal displacement increase + 6 m m m + 8 m Columns 118,200 mm 1 = 348(10) mm E 200 GP Beams: A=7,590 mm 1 = 255(10) mm Braces A = 1,340 mm I = 3.76(10) mm

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