MATLAB HELP
In designing a building for seismic loads, the dynamic forces are often converted to equivalent static forces applied as lateral loads at each floor level increasing along the height of the building. It is further assumed that these forces are supported by a seismic force resisting system, in this case 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 elements are assumed to be beam-column elements, while the braces are hinged at both ends and subjected only to axial forces thus can be modeled as 'truss elements'. Analyze the braced frame structure using the Stiffness Method in MATLAB. Submit a pdf report and all m source codes on TritonEd. a) For a value of P 300 kN, determine horizontal displacements at each floor level, reactions and member forces. To show the member forces, draw a sketch of the structure and label the axial forces for each truss, column and beam. On a separate sketch of the structure draw the bending moment diagram for the beams and columns labeling the moment at the beam ends b) Determine the largest value of load P than can be applied to the frame without exceeding a required roof drift limit of 1% of the frame height. Roof drift is defined as the horizontal displacement of the roof divided the by height of the roof. c) Repeat part a by removing all the braces from the structure. By how much do horizontal displacements ncrease? d) EXTRA CREDIT: Develop MATLAB subroutines to plot the deformed shape of this structure (x y)-(x r)'+(u, u,) -sf, where (x r) is the initial position of a point, (x ) is the current position of the point shown in the figure, (u, u is the displacement vector at the point (x Y), sf is the scaling factor adopted in the plotting. Generate two figures of the deformed structure using a scaling factor sf 1 and sf 20, respectively. (25 points) In designing a building for seismic loads, the dynamic forces are often converted to equivalent static forces applied as lateral loads at each floor level increasing along the height of the building. It is further assumed that these forces are supported by a seismic force resisting system, in this case 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 elements are assumed to be beam-column elements, while the braces are hinged at both ends and subjected only to axial forces thus can be modeled as 'truss elements'. Analyze the braced frame structure using the Stiffness Method in MATLAB. Submit a pdf report and all m source codes on TritonEd. a) For a value of P 300 kN, determine horizontal displacements at each floor level, reactions and member forces. To show the member forces, draw a sketch of the structure and label the axial forces for each truss, column and beam. On a separate sketch of the structure draw the bending moment diagram for the beams and columns labeling the moment at the beam ends b) Determine the largest value of load P than can be applied to the frame without exceeding a required roof drift limit of 1% of the frame height. Roof drift is defined as the horizontal displacement of the roof divided the by height of the roof. c) Repeat part a by removing all the braces from the structure. By how much do horizontal displacements ncrease? d) EXTRA CREDIT: Develop MATLAB subroutines to plot the deformed shape of this structure (x y)-(x r)'+(u, u,) -sf, where (x r) is the initial position of a point, (x ) is the current position of the point shown in the figure, (u, u is the displacement vector at the point (x Y), sf is the scaling factor adopted in the plotting. Generate two figures of the deformed structure using a scaling factor sf 1 and sf 20, respectively. (25 points)
